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discuss advantages and disadvantages of lots of enharmonic equivalences (the "extra" notes)
discuss advantages and disadvantages of lots of enharmonic equivalences (the "extra" notes)


discuss performerr vs composer solfeges? example: 12-edo numeric solfege, the ultimate performer solfege
discuss performerr vs composer solfeges? example: subset solfege and 12-edo numeric solfege, the ultimate performer solfege


maybe break up into 2 pages?
maybe break up into 2 pages?
*microtonal solfeges page discusses BC, uniform and numeric solfeges
 
*list of solfeges page has all edos and pergens, with all 3 types of solfeges
* microtonal solfeges page discusses BC, uniform and numeric solfeges
==Classification==
* list of solfeges page has all edos and pergens, with all 3 types of solfeges
 
== Classification ==
'''Numeric''' solfeges are for small edos that aren't heptatonic-friendly, like 5, 6, and 8-11. All other edos use the conventional consonants D R M F S L T.
'''Numeric''' solfeges are for small edos that aren't heptatonic-friendly, like 5, 6, and 8-11. All other edos use the conventional consonants D R M F S L T.


Line 18: Line 20:


'''Uniform''' solfeges are for larger edos like 41 and 53. They use a uniform vowel sequence for all degrees. They add 6 altered consonants: Fr- N- P- Sh- Fl- and Th-. '''Uniform diatonic''' solfeges don't add them.
'''Uniform''' solfeges are for larger edos like 41 and 53. They use a uniform vowel sequence for all degrees. They add 6 altered consonants: Fr- N- P- Sh- Fl- and Th-. '''Uniform diatonic''' solfeges don't add them.
==Uniform solfeges==
 
== Uniform solfeges ==
Uniform solfeges are a type of solfege developed by [[Kite Giedraitis]]. They are closely related to his [[ups and downs notation]]. A uniform solfege lets one perform basic interval arithmetic directly within the solfege, without having to translate to note names or interval names and back. They use a uniform vowel sequence for each degree, hence the name. They use the conventional consonants D R M F S L T. But all consonants except D have an alternate form that indicates flattening or sharpening:
Uniform solfeges are a type of solfege developed by [[Kite Giedraitis]]. They are closely related to his [[ups and downs notation]]. A uniform solfege lets one perform basic interval arithmetic directly within the solfege, without having to translate to note names or interval names and back. They use a uniform vowel sequence for each degree, hence the name. They use the conventional consonants D R M F S L T. But all consonants except D have an alternate form that indicates flattening or sharpening:
*Fr- = '''f'''lat Re = minor 2nd (mnemonic: F stands for flat)
 
*N- = flat Mi = minor 3rd
* Fr- = '''f'''lat Re = minor 2nd (mnemonic: F stands for flat)
*P- = sharp Fa = aug 4th (mnemonic: Sh- sharpens to S-, and Th- sharpens to T-, so if Fa were spelled Pha, it would sharpen to Pa)
* N- = flat Mi = minor 3rd
*Sh- = flat So = dim 5th
* P- = sharp Fa = aug 4th (mnemonic: Sh- sharpens to S-, and Th- sharpens to T-, so if Fa were spelled Pha, it would sharpen to Pa)
*Fl- = '''f'''lat La = minor 6th (mnemonic: F stands for flat)
* Sh- = flat So = dim 5th
*Th- = flat Ti = minor 7th
* Fl- = '''f'''lat La = minor 6th (mnemonic: F stands for flat)
* Th- = flat Ti = minor 7th
 
Sharpening and flattening refers to adding/subtracting the [[2187/2048|lawa unison]] Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out. Some other edos (12, ??) also omit them.
Sharpening and flattening refers to adding/subtracting the [[2187/2048|lawa unison]] Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out. Some other edos (12, ??) also omit them.


The vowel sequence varies depending on the edo or pergen. There is always -a for pl'''a'''in, and almost always -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or -i for dup (double-up) and -e for dud (double-down).
The vowel sequence varies depending on the edo or pergen. There is always -a for pl'''a'''in, and almost always -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or -i for dup (double-up) and -e for dud (double-down). Pergens are similar, see below.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+the three vowel sequences
|+ the three vowel sequences
|-
!3 vowels
!3 vowels
!14-22, etc,
!14-22, etc,
|
|
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
|
|
|-
|-
!4 vowels
!4 vowels
!31, 41
!31, 41
| -i = mid
|<nowiki>-i = mid</nowiki>
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
| -i = mid
|<nowiki>-i = mid</nowiki>
|-
|-
!5 vowels
!5 vowels
!53, 60
!53, 60
| -e = dud
| -e = dud
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
| -i = dup
| -i = dup
|}These 5 vowels cover all the more popular edos up to 60. Which edos aren't covered? The number of vowels a uniform solfege needs equals the edo's [[sharpness]] or penta-sharpness, whichever is larger. Thus an edo with a (penta)sharpness of 6 or higher needs 6 or more vowels and isn't covered. Every edo above 60 is such an edo. A 6th vowel could of course be added, which would cover most edos up to 72edo.
|}
===Examples===
These 5 vowels cover all the more popular edos up to 60. Which edos aren't covered? The number of vowels a uniform solfege needs equals the edo's [[sharpness]] or penta-sharpness, whichever is larger. Thus an edo with a (penta)sharpness of 6 or higher needs 6 or more vowels and isn't covered. Every edo above 60 is such an edo. The excluded edos are the less efficient ones, with a fairly inaccurate 5th for their size. Thus they tend to be the less popular edos.
*12edo: Da Fra Ra Na Ma Fa Pa/Sha Sa Fla La Tha Ta Da
 
*21edo: Da Du Ro Ra Ru Mo Ma Mu Fo Fa Fu So Sa Su Lo La Lu To Ta Tu Do Da
A 6th vowel could of course be added, which would cover most edos up to 72edo. Perhaps -uh for the mid/betweens ring  of 72edo?
*
 
=== Examples ===
 
* 12edo: Da Fra Ra Na Ma Fa Pa/Sha Sa Fla La Tha Ta Da
* 21edo: Da Du Ro Ra Ru Mo Ma Mu Fo Fa Fu So Sa Su Lo La Lu To Ta Tu Do Da
 
Edos 5, 7 and 12 have only -a. 10edo has -a and -o but no -u.
Edos 5, 7 and 12 have only -a. 10edo has -a and -o but no -u.


In sharp-1 edos, to up an interval means to augment it. Thus Fu = Pa and So = Sha. Ra = Fru and Fra = Ro.
Superflat edos have a very flat 5th. A uniform solfege can still be used, but the size of the interval won't match what its name implies very well.


In flat-1 edos, to up an interval means to diminish it. Ra = Fro and Ru = Fra. Fo = Pa and Su = Sha
In sharp-1 edos, to up an interval means to augment it. Thus Fu = Pa and So = Sha. Fru = Ra and Fra = Ro.


In sharp-2 and sharp-4 edos, mid is spelled as downmajor, downaug for the 4th, and downperfect for the 5th
In flat-1 edos, to up an interval means to diminish it. Fo = Pa and Su = Sha. Fro = Ra and Fra = Ru.


In edos with an even [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 (Ru/No) is named as both a 2nd and a 3rd, a "serd".
In sharp-2 and sharp-4 edos, mid is spelled as downmajor, downaug for the 4th, and downperfect for the 5th.
*1sn/2nd = unisecond (secison)
 
*2nd/3rd = serd (thecond)
In edos with an even [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 (Ru/No) is named as both a 2nd and a 3rd.
*3rd/4th = ford (thorth)
 
*4th/5th = tritone
=== Example Scales ===
*5th/6th = sifth (sexth)
(The prime limits assumes a larger edo in which both 81/80 and 64/63 are 1 edostep.)
*6th/7th =  sexth? siventh?
{| class="wikitable center-all"
*7th/8ve = setave? octenth?
===Example Scales===
(The prime limits assumes a larger edo in which both 81/80 and 64/63 = 1 edostep)
{| class="wikitable center-all"
|+
|+
! rowspan="2" |3-limit
! rowspan="2" |3-limit
Line 143: Line 148:
|Da
|Da
|}
|}
===Octave Complement===
 
=== Suggestion for learning ===
Even with many familiar consonants and a consistent vowel sequence, it can take a while to master a large solfege. One might want to take a divide-and-conquer approach. Start with using this simple solfege:
 
Da - Ra - Ma - Fa - Sa - La - Ta - Da
 
This helps with <u>un</u>learning the syllables Do, Mi, So and Ti, which are still present but have a changed meaning. (For those familiar with the full 17-name solfege, note that Ra, Ri, Fi, Si and Li are often present but changed.)
 
Next add in the 6 altered consonants, making a 12-edo-like solfege:
 
Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
 
Once this is fully internalized, add in the other vowels, and learn how to respell the various tritones.
 
=== Octave Complement ===
To find the [[octave complement]] of any interval:
To find the [[octave complement]] of any interval:
*change the '''degree''' as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
 
*change the '''quality''' as usual: major <--> minor and aug <--> dim, but perfect and mid are unchanged
* change the '''degree''' as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th.
*find the '''consonant''' via the quality and degree
* change the '''quality''' as usual: major <--> minor and aug <--> dim, but perfect and mid are unchanged.
*change the '''vowel''' as expected: -u <--> -o, but -a is unchanged. If -e is used, -i <--> -e, otherwise -i is unchanged.
* get the new '''consonant''' from the quality and degree.
* change the '''vowel''' as expected: -u <--> -o, but -a is unchanged. If -e is used, -i <--> -e, otherwise -i is unchanged.
 
For example, Fru = minor-Re-up becomes major-Ti-down = To.
For example, Fru = minor-Re-up becomes major-Ti-down = To.
===The Circle of Fifths===
 
=== The Circle of Fifths ===
The 13 -a notes form a chain of 5ths running from the dim 5th to the aug 4th:
The 13 -a notes form a chain of 5ths running from the dim 5th to the aug 4th:


Sha - Fra - Fla - Na - Tha - Fa - Da - Sa - Ra - La - Ma - Ta - Pa
Sha - Fra - Fla - Na - Tha - Fa - Da - Sa - Ra - La - Ma - Ta - Pa


Each vowel creates a separate chains of 5ths, usually starting with Sh- and ending with P-. But each P- note is enharmonically equivalent to some Sh- note (or S- or F- note). In 12n edos, the vowel is the same, the chain becomes a circle, and there are multiple circles of 5ths. In other edos, the vowel changes, and the duplicate names connect these separate chains into one circle. (See 34edo for an exception.) This is one rationale for the 13th consonant P-, for it supplies the needed duplicate names.
Each vowel creates a separate chains of 5ths, usually starting with Sh- and ending with P-. But each P- note is enharmonically equivalent to some Sh- note (or S- or F- note). In 12n edos, the vowel of the equivalent note is the same, the chain becomes a circle, and there are multiple circles of 5ths. In other edos, the vowel changes, and the duplicate names connect these separate chains into one circle. (See 34edo for an exception.) This is one rationale for the 13th consonant P-, for it supplies the needed duplicate names.


For example, 31edo uses 3 vowels. Since Pa = Sho, the end of the -a chain connects to the start of the -o chain. Since Po = Fu, the -o chain connects to the -u chain. Since Pu = Sha, the -u chain connects back to the -a chain, making a circle of 31 5ths:
For example, 31edo uses 3 vowels. Since Pa = Sho, the end of the -a chain connects to the start of the -o chain. Since Po = Fu, the -o chain connects to the -u chain. Since Pu = Sha, the -u chain connects back to the -a chain, making a circle of 31 5ths:
Line 162: Line 184:


Thus as long as one spells the tritone correctly, all 5ths rhyme. This makes interval arithmetic very easy.
Thus as long as one spells the tritone correctly, all 5ths rhyme. This makes interval arithmetic very easy.
===Adding/subtracting 4ths and 5ths===
 
=== Adding/subtracting 4ths and 5ths ===
The note a 4th or 5th above any note always rhymes, and the consonant is as would be expected from conventional interval arithmetic. Ra plus a 4th is Sa, Fro plus a 5th is Flo, etc. Thus in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.
The note a 4th or 5th above any note always rhymes, and the consonant is as would be expected from conventional interval arithmetic. Ra plus a 4th is Sa, Fro plus a 5th is Flo, etc. Thus in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.


However, consider the aug 4th, a P- note. The note a 5th above it would be an augmented 8ve, which doesn't exist in a uniform solfege. Therefore one must rename the tritone as a dim or mid 5th. Thus in 31edo Pa + 5th = Sho + 5th = Fro. Likewise, Sho and Sha need renaming when adding a 4th: Sha + 4th = Pu + 4th = Tu.
However, consider the aug 4th, a P- note. The note a 5th above it would be an augmented 8ve, which doesn't exist in a uniform solfege. Therefore one must rename the tritone as a dim or mid 5th. Thus in 31edo Pa + 5th = Sho + 5th = Fro. Likewise, Sho and Sha need renaming when adding a 4th: Sha + 4th = Pu + 4th = Tu.
===Adding/subtracting other intervals===
 
=== Adding/subtracting other intervals ===
The same rule for 4ths and 5ths mostly holds for plain major 2nds. Keep the vowel, and change the consonant as expected. Ra + M2 = Ma. But an aug 4th must be renamed as a 5th. Beware, this rule breaks down entirely for major and mid 7ths (the T- notes), due to the lack of aug and mid 8ves.
The same rule for 4ths and 5ths mostly holds for plain major 2nds. Keep the vowel, and change the consonant as expected. Ra + M2 = Ma. But an aug 4th must be renamed as a 5th. Beware, this rule breaks down entirely for major and mid 7ths (the T- notes), due to the lack of aug and mid 8ves.


Line 172: Line 196:


One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. 3-vowel solfeges lack double-ups and double-downs. 4-vowel solfeges lack double-upmajor and double-downminor. 5-vowel solfeges lack triple-ups and triple-downs.
One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. 3-vowel solfeges lack double-ups and double-downs. 4-vowel solfeges lack double-upmajor and double-downminor. 5-vowel solfeges lack triple-ups and triple-downs.
===Suggestion for learning===
Even with many familiar consonants and a consistent vowel sequence, it can take a while to master a large solfege. One might want to divide-and-conquer. Start with using this simple solfege:


Da - Ra - Ma - Fa - Sa - La - Ta - Da
=== Correlations with colorspeak ===
-u/-o can mean not only up/down, but also under/over, meaning in the ratio's denominator or numerator. A colorspeak review:


This helps with <u>un</u>learning the syllables Do, Mi, So and Ti, which are still present but have a changed meaning. (For those familiar with the full 17-name solfege, note that Ra, Ri, Fi, Si and Li are often present but changed.)
* ya (5-limit): yo/gu = 5-over/5-under = subtract/add 81/80
* za (2.3.7): zo/ru = 7-over/7-under = subtract/add 64/63
* ila (2.3.11): ilo/lu = 11-over/11-under = subtract/add [[729/704]]
* tha (2.3.13): tho/thu = 13-over/13-under = subtract/add 27/26


Next add in the 6 altered consonants, making a 12-edo-like solfege:
(In colorspeak, the last two commas could instead be 33/32 and [[1053/1024]], but these are over commas, and they must be under to keep the -o/-u correlation.)


Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
If 81/80 maps to 1 edostep, then yo/gu = down/up = -o/-u. Likewise with the other commas. The table below shows that almost every edo has at least one such correlation. Parentheses are used when the prime's relative error is high, e.g. 12edo's prime 11.
 
{| class="wikitable center-all"
Once this is fully internalized, add in the other vowels, and learn how to respell the various tritones.
==About the edo list==
Thsi list only includes edos that have uniform solfeges, which are edos with both sharpness and penta-sharpness of 5 or less. Smaller edos are included with numeric solfeges. Excluded edos: 30, 37, 42, 44, 47, 49, 51-52, 54, 56-59, and everything 61 and over.
{| class="wikitable center-all"
|+
|+
colorspeak correlations for all 25 diatonic edos that have uniform solfeges with 5 vowels or less
!
!
!7 consonants
!12
!7 consonants + P-
!17
!13 consonants
!19
!BC
!22
!numeric
!24
!26
!27
!29
!31
!32
!33
!34
!36
!38
!39
!40
!41
!43
!45
!46
!48
!50
!53
!55
!60
|-
|-
!-a
! rowspan="2" |ya
|7
|
|(yo)
|
|yo
|
|
|yo
|yo
|
|
|
|yo
|
|
|(yo)
|
|yo
|
|
|yo
|(yo)
|
|yo
|
|
|5 12
|yo
| rowspan="4" |5 7 12
| rowspan="4" |5 6
8 9
 
10 11
|-
|-
!-o -a -u
|12 14 21
|
|
|10 15 16 17 19 22 24
|(gu)
26 29 31 36
|
|gu
|
|
|gu
|gu
|
|
|
|gu
|
|
|(gu)
|
|gu
|
|
|gu
|(gu)
|
|gu
|
|gu
|-
|-
!-i -o -a -u
! rowspan="2" |za
|
|
|zo
|
|zo
|zo
|
|zo
|zo
|
|zo
|zo
|zo
|zo
|(zo)
|
|zo
|zo
|
|zo
|zo
|
|zo
|
|
|
|
|20 25 27 41
|-
|-
!-e -o -a -u -i
|28 35
|
|
|40 48 53 60
|
|}
|ru
==5edo==
|
{| class="wikitable center-all"
|ru
|+solfeges
|ru
![[5edo]]
|
!0
|ru
!1
|ru
!2
|
!3
|ru
!4
|ru
!5
|ru
|ru
|(ru)
|
|ru
|ru
|
|ru
|ru
|
|ru
|
|
|-
|-
!notes
! rowspan="2" |ila
|C
|(ilo)
|D / Eb
|ilo
|E / F
|
|G / Ab
|
|A / Bb
|ilo
|C
|
|-
|
!intervals
|
|P1
|ilo
|M2 / m3
|
|M3 / P4
|
|P5 / m6
|
|M6 / m7
|(ilo)
|P8
|(ilo)
|-
|
!numeric solfege
|
|Wa
|
|Tu
|ilo
|Ti
|
|Fo
|
|Fa
|
|Wa
|ilo
|-
|
!uniform solfege
|Da
|Ra / Na
|Fa
|Sa
|La / Tha
|Da
|-
!BC solfege
|Do
|Re / Me
|Fa
|So
|La / Te
|Do
|}
{| class="wikitable center-all"
|+uniform circle of fifths
!
!0
!3
!1
!4
!2
!5
|-
!-a
|Da
|Sa
|Ra
|La
|
|
|
|
|-
|-
!-a
|(lu)
|lu
|
|
|lu
|
|
|
|lu
|
|
|
|(lu)
|(lu)
|
|
|
|lu
|
|
|
|lu
|
|
|
|
|
|Na
|Tha
|Fa
|Da
|}
==6edo==
{| class="wikitable center-all"
|+BC & numeric solfeges
![[6edo]]
!0
!1
!2
!3
!4
!5
!6
|-
|-
!notes
! rowspan="2" |tha
|C
|
|D
|tho
|E
|tho
|F# / Gb
|
|G# / Ab
|tho
|A# / Bb
|tho
|C
|
|
|tho
|
|tho
|
|
|tho
|
|tho
|
|
|(tho)
|
|
|
|
|
|
|-
|-
!intervals
|
|P1
|thu
|M2
|thu
|M3
|
|A4 / d5
|thu
|A5 / m6
|thu
|A6 / m7
|
|P8
|
|thu
|
|thu
|
|
|thu
|
|thu
|
|
|(thu)
|
|
|
|
|
|
|}
 
== About the edo list ==
This list only includes edos that have uniform solfeges, which are edos with both sharpness and penta-sharpness of 5 or less. However, smaller edos are included with numeric solfeges. Excluded edos: 1-4, 30, 37, 42, 44, 47, 49, 51-52, 54, 56-59, and everything under 5 or over 60. A total of 43 edos, and 41 uniform solfeges.
{| class="wikitable  center-all"
|+
!
!7 consonants
!7 consonants + P-
!13 consonants
!BC
!numeric
|-
|-
!BC solfege (12edo subset)
!-a
|Do
|7
|Re
|
|Mi
|5 12
|Fi / Se
| rowspan="4" |5 7 12
|Si / Le
| rowspan="4" |5 6
|Li / Te
 
|Do
8 9
 
10 11
|-
!-o -a -u
|12 14 21
|
|10 15 16 17 19 22 24
 
26 29 31 36
|-
!-i -o -a -u
|
|
|20 25 27 41
|-
|-
!numeric solfege
!-e -o -a -u -i
|Wa
|28 35
|Tu
|
|Ti
|40 48 53 60
|Fo
|Fa
|Si
|Wa
|}
|}
==7edo==
 
{| class="wikitable center-all"
== 5edo ==
{| class="wikitable center-all"
|+
|+
![[7edo]]
various solfeges
![[5edo]]
!0
!0
!1
!1
Line 356: Line 502:
!4
!4
!5
!5
!6
!7
|-
|-
!notes
!notes
|C
|C
|D
|D / Eb
|E
|E / F
|F
|G / Ab
|G
|A / Bb
|A
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|P2
|M2 / m3
|P3
|M3 / P4
|P4
|P5 / m6
|P5
|M6 / m7
|P6
|P7
|P8
|P8
|-
|-
!uniform solfege
!numeric solfege
|Da
|Wa
|Ra
|Tu
|Ma
|Ti
|Fo
|Fa
|Fa
|Sa
|Wa
|La
|Ta
|Da
|-
|-
!BC solfege
!BC solfege
|Do
|Do
|Re
|Re / Me
|Mi
|Fa
|Fa
|So
|So
|La
|La / Te
|Ti
|Do
|Do
|-
!uniform solfege
|Da
|Ra / Na
|Fa
|Sa
|La / Tha
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+circle of fifths
|+
uniform circle of fifths
!
!
!0
!0
!3
!1
!4
!4
!1
!2
!5
!5
!2
!6
!3
!7
|-
|-
!uniform
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|
|Ta
|
|-
!-a
|
|
|Na
|Tha
|Fa
|Fa
|Da
|Da
|-
|}
!BC
 
|Do
== 6edo ==
|So
{| class="wikitable center-all"
|Re
|+
|La
BC & numeric solfeges
|Mi
![[6edo]]
|Ti
|Fa
|Do
|}
==8edo==
{| class="wikitable center-all"
|+numeric solfege, see also edos 9-11
![[8edo]]
!0
!0
!1
!1
Line 442: Line 583:
!5
!5
!6
!6
!7
!8
|-
|-
!solfege
!notes
|C
|D
|E
|F# / Gb
|G# / Ab
|A# / Bb
|C
|-
!intervals
|P1
|M2
|M3
|A4 / d5
|A5 / m6
|A6 / m7
|P8
|-
!BC solfege (12edo subset)
|Do
|Re
|Mi
|Fi / Se
|Si / Le
|Li / Te
|Do
|-
!numeric solfege
|Wa
|Wa
|Tu
|Tu
Line 452: Line 618:
|Fa
|Fa
|Si
|Si
|Se
|E
|Wa
|Wa
|}
|}
==9edo==
 
{| class="wikitable center-all"
== 7edo ==
|+numeric solfege, see also 8edo, 10edo & 11edo
{| class="wikitable center-all"
![[9edo]]
|+
BC & uniform solfeges
![[7edo]]
!0
!0
!1
!1
Line 468: Line 634:
!6
!6
!7
!7
!8
!9
|-
|-
!solfege
!notes
|Wa
|C
|Tu
|D
|Ti
|Fo
|Fa
|Si
|Se
|E
|E
|Na
|F
|Wa
|G
|}
|A
==10edo==
|B
{| class="wikitable center-all"
|C
|+numeric solfege, see also 8edo, 9edo & 11edo
|-
![[10edo]]
!intervals
!0
|P1
!1
|P2
!2
|P3
!3
|P4
!4
|P5
!5
|P6
!6
|P7
!7
|P8
!8
!9
!10
|-
|-
!solfege
!BC solfege
|Wa
|Do
|Tu
|Re
|Mi
|Fa
|So
|La
|Ti
|Ti
|Fo
|Do
|-
!uniform solfege
|Da
|Ra
|Ma
|Fa
|Fa
|Si
|Sa
|Se
|La
|E
|Ta
|Na
|Da
|Te
|Wa
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -o = down)
|+
![[10edo]]
circle of fifths
!
!0
!0
!4
!1
!1
!5
!2
!2
!6
!3
!3
!4
!5
!6
!7
!7
!8
!9
!10
|-
|-
!cents
!BC
|0
|Do
|120
|So
|240
|Re
|360
|La
|480
|Mi
|600
|Ti
|720
|Fa
|840
|Do
|960
|1080
|1200
|-
|-
!notes
!uniform
|C
|vD
|D / Eb
|vE
|F
|vF# / vG
|G
|vA
|A / Bb
|vB
|C
|-
!intervals
|P1
|~2
|M2 / m3
|~3
|P4
|~4 / ~5
|P5
|~6
|M6 / m7
|~7
|P8
|-
!solfege
|Da
|Da
|Ro
|Sa
|Ra / Na
|Ra
|Mo
|La
|Ma
|Ta
|Fa
|Fa
|Po / So
|Sa
|Lo
|La / Tha
|To
|Da
|Da
|-
|}
!extra names
 
|
== 8edo ==
|Du / Fru
{| class="wikitable center-all"
|
|+
|Nu
numeric solfege
|Ma
![[8edo]]
|Fu / Shu
|Fla
|Flu
|
|Thu / Do
|
|}
{| class="wikitable center-all"
|+'''circles of fifths'''
! colspan="7" |plain circle
| rowspan="4" |
! colspan="7" |down circle
|-
!
!0
!6
!2
!8
!4
!10
!
!1
!7
!3
!9
!5
!1
|-
!-a
|Da
|Sa
|Ra
|La
|
|
!-o
|Ro
|Lo
|Mo
|To
|Po
|
|-
!-a
|
|
|Na
|Tha
|Fa
|Da
!-o
|
|
|
|
|So
|Ro
|}
==11edo==
{| class="wikitable center-all"
|+numeric solfege, see also edos 8-10
![[11edo]]
!0
!0
!1
!1
Line 656: Line 723:
!7
!7
!8
!8
!9
!10
!11
|-
|-
!solfege
!solfege
Line 669: Line 733:
|Se
|Se
|E
|E
|Na
|Te
|Le
|Wa
|Wa
|}
|}
{| class="wikitable center-all"
 
|+someone's solfege from 11edo page, subset of 22edo
== 9edo ==
![[11edo]]
{| class="wikitable center-all"
|+
numeric solfege
![[9edo]]
!0
!0
!1
!1
Line 687: Line 751:
!8
!8
!9
!9
!10
!11
|-
|-
!solfege
!solfege
|Do
|Wa
|Ra
|Tu
|Re
|Me
|Mo
|Fu
|Su
|Lo
|La
|Ta
|Ti
|Ti
|Do
|Fo
|Fa
|Si
|Se
|E
|Na
|Wa
|}
|}
==12edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+conventional solfege (-i = sharp, -e = flat, -a = flat Re)
uniform solfege (-a = plain)
![[12edo]]
![[9edo]]
!0
!0
!1
!1
Line 718: Line 778:
!8
!8
!9
!9
!10
|-
!11
!cents
!12
|0
|133
|267
|400
|533
|667
|800
|933
|1067
|1200
|-
|-
!notes
!notes
|C
|C
|C# / Db
|D
|D
|D# / Eb
|Db/E
|E
|Eb/F#
|F
|F
|F# / Gb
|G
|G
|G# / Ab
|Gb/A
|A
|Ab/B
|A# / Bb
|Bb
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1 / m2
|M2
|M2
|A2 / m3
|m2/M3
|M3
|m3/A4
|P4
|P4
|A4 / d5
|P5
|P5
|A5 / m6
|d5/M6
|M6
|m6/M7
|A6 / m7
|m7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di / Ra
|Ra
|Re
|Fra/Ma
|Ri / Me
|Na/Pa
|Mi
|Fa
|Fa
|Fi / Se
|Sa
|So
|Sha/La
|Si / Le
|Fla/Ta
|La
|Tha
|Li / Te
|Da
|Ti
|Do
|}
|}
{| class="wikitable center-all"
Of qustionable merit. Circle of 5ths: Da Sa Ra La/Sha Ma/Fra Ta/Fla Pa/Na Tha Fa Da
|+'''circle of fifths (asymmetrical and major-centric)'''
 
== 10edo ==
{| class="wikitable center-all"
|+
numeric solfege
![[10edo]]
!0
!0
!7
!1
!2
!2
!9
!3
!4
!4
!11
!5
!6
!6
!1
!7
!8
!8
!3
!9
!10
!10
!5
!12
|-
|-
|Do
!solfege
|So
|Wa
|Re
|Tu
|La
|Mi
|Ti
|Ti
|Fi
|Fo
|Di
|Fa
|Si
|Si
|Ri
|Li
|
|
|-
|
|
|
|
|
|
|Se
|Se
|Ra
|E
|Le
|Na
|Me
|Te
|Te
|Fa
|Wa
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
|+
![[12edo]]
uniform solfege (-a = plain, -o = down)
![[10edo]]
!0
!0
!1
!1
Line 830: Line 874:
!9
!9
!10
!10
!11
!12
|-
|-
!notes
!cents
|C
|0
|C# / Db
|120
|D
|240
|D# / Eb
|360
|E
|480
|600
|720
|840
|960
|1080
|1200
|-
!notes
|C
|vD
|D / Eb
|vE
|F
|F
|F# / Gb
|vF# / vG
|G
|G
|G# / Ab
|vA
|A
|A / Bb
|A# / Bb
|vB
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1 / m2
|~2
|M2
|M2 / m3
|A2 / m3
|~3
|M3
|P4
|P4
|A4 / d5
|~4 / ~5
|P5
|P5
|A5 / m6
|~6
|M6
|M6 / m7
|A6 / m7
|~7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du / Ro
|Ro
|Ra
|Ra / Na
|Ru / Mo
|Mo
|Ma
|Fa
|Fa
|Fu / So
|Po / So
|Sa
|Sa
|Su / Lo
|Lo
|La
|La / Tha
|Lu / To
|To
|Ta
|Da
|Da
|-
|-
!extras
!extra names
|
|
|Du / Fru
|
|
|Nu
|Ma
|Fu / Shu
|Fla
|Flu
|
|
|Thu / Do
|
|
|Fo
|}
|Mu
{| class="wikitable center-all"
|
|+
|
'''circles of fifths'''
|
! colspan="7" |plain circle
|
| rowspan="4" |
|
! colspan="7" |down circle
|Do
|-
|Tu
|}
{| class="wikitable center-all"
|+'''circle of fifths (asymmetrical and major-centric)'''
!
!
!0
!0
!7
!6
!2
!2
!9
!8
!4
!4
!11
!10
!6
!
!1
!1
!8
!7
!3
!3
!10
!9
!5
!5
!12
!1
|-
|-
!-a
!-a
Line 915: Line 967:
|Ra
|Ra
|La
|La
|Ma
|Ta
|
|
|
|
|
|
|
|
|
|-
!-o
!-o
|
|
|
|
|
|
|So
|Ro
|Ro
|Lo
|Lo
|Mo
|Mo
|To
|To
|
|Po
|
|-
!-u
|
|
|
|
|
|
|Fu
|Du
|Su
|Ru
|Lu
|
|
|
|-
|-
Line 958: Line 980:
|
|
|
|
|Na
|Tha
|Fa
|Da
!-o
|
|
|
|
|
|
|
|
|
|So
|
|Ro
|
|}
|
 
|
== 11edo ==
{| class="wikitable  center-all"
|+
numeric solfege, see also edos 8-10
![[11edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
!solfege
|Wa
|Tu
|Ti
|Fo
|Fa
|Fa
|Da
|Si
|Se
|E
|Na
|Te
|Le
|Wa
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #2 (-a = plain = perfect/major, -u = aug)
|+
![[12edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[11edo]]
!0
!0
!1
!1
Line 985: Line 1,041:
!10
!10
!11
!11
!12
|-
!cents
|0
|109
|218
|327
|436
|545
|655
|764
|873
|982
|1091
|1200
|-
|-
!notes
!notes
|C
|C
|C# / Db
|
|D
|
|D# / Eb
|
|E
|
|F
|
|F# / Gb
|
|G
|
|G# / Ab
|
|A
|
|A# / Bb
|
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1 / m2
|^1/M2
|M2
|~2/M3
|A2 / m3
|m2/~3
|M3
|m3/v4
|P4
|P4/v5
|A4 / d5
|^4/P5
|P5
|^5/M6
|A5 / m6
|~6/M7
|M6
|m6/~7
|A6 / m7
|m7/v8
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du / Fra
|Du/Ra
|Ra
|Ri/Ma
|Ru / Na
|Fra/Mi
|Ma
|Na/Fo
|Fa
|Fa/So
|Pa / Sha
|Fu/Sa
|Sa
|Su/La
|Su / Fla
|Li/Ta
|La
|Fla/Ti
|Lu / Tha
|Tha/Do
|Ta
|Da
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|
|}
|}
{| class="wikitable center-all"
Of qustionable merit. Circle of 5ths: Da Sa/Fu Ra/Du La/Su Ma/Ri Ta/Li Mi/Fra Ti/Fla Na/Fo Tha/Do Fa/So Da
|+'''circle of fifths (asymmetrical and major-centric)'''
{| class="wikitable center-all"
!
|+
someone's solfege from 11edo page, a subset of 22edo
![[11edo]]
!0
!0
!7
!1
!2
!2
!9
!3
!4
!4
!11
!5
!6
!6
!1
!7
!8
!8
!3
!9
!10
!10
!5
!11
!12
|-
|-
!-a
!solfege
|Da
|Do
|Sa
|Ra
|Ra
|La
|Re
|Ma
|Me
|Mo
|Fu
|Su
|Lo
|La
|Ta
|Ta
|Pa
|Ti
|
|Do
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
==13b-edo==
 
{| class="wikitable center-all"
== 12edo ==
|+uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
{| class="wikitable center-all"
![[13edo]]
|+
conventional solfege (-i = sharp, -e = flat, -a = flat Re)
![[12edo]]
!0
!0
!1
!1
Line 1,126: Line 1,149:
!11
!11
!12
!12
!13
|-
|-
!notes
!notes
|C
|C
|^C/D
|C# / Db
|^D/E
|D
|vDb/^E
|D# / Eb
|Db/vEb
|E
|Eb/vF
|F
|F
|F# / Gb
|G
|G
|^G/A
|G# / Ab
|^A/B
|A
|vAb/^B
|A# / Bb
|Ab/vBb
|B
|Bb/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/M2
|A1 / m2
|^M2/M3
|M2
|vm2/^M3
|A2 / m3
|m2/vm3
|M3
|m3/v4
|P4
|P4
|A4 / d5
|P5
|P5
|^5/M6
|A5 / m6
|^M6/M7
|M6
|vm6/^M7
|A6 / m7
|m6/vm7
|M7
|m7/v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Ra
|Di / Ra
|Ru/Ma
|Re
|Fro/Mu
|Ri / Me
|Fra/No
|Mi
|Na/Fo
|Fa
|Fa
|Sa
|Fi / Se
|Su/La
|So
|Lu/Ta
|Si / Le
|Flo/Tu
|La
|Fla/Tho
|Li / Te
|Tha/Do
|Ti
|Da
|Do
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circle of fifths'''
|+
!
'''circle of fifths (asymmetrical and major-centric)'''
!0
!0
!7
!7
!2
!9
!4
!11
!6
!1
!1
!8
!8
!2
!9
!3
!3
!10
!10
!4
!11
!5
!5
!12
!12
!6
!13
|-
|-
!-a
|Do
|Da
|So
|Sa
|Re
|Ra
|La
|La
|Ma
|Mi
|Ta
|Ti
|
|Fi
|
|Di
|
|Si
|
|Ri
|
|Li
|
|
|
|
|
|-
|-
!-u
|
|
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|
|
|
|Se
|
|Ra
|-
|Le
!-o
|Me
|
|Te
|
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|-
!-a
|
|
|
|
|
|
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
|Da
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
|}
==14edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
![[14edo]]
![[12edo]]
!0
!0
!1
!1
Line 1,275: Line 1,262:
!11
!11
!12
!12
!13
!14
|-
|-
!notes
!notes
|C
|C
|^C/vD
|C# / Db
|D
|D
|^D/vE
|D# / Eb
|E
|E
|^E/vF
|F
|F
|^F/vG
|F# / Gb
|G
|G
|^G/vA
|G# / Ab
|A
|A
|^A/vB
|A# / Bb
|B
|B
|^B/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/v2
|A1 / m2
|P2
|M2
|^2/v3
|A2 / m3
|P3
|M3
|^3/v4
|P4
|P4
|^4/v5
|A4 / d5
|P5
|P5
|^5/v6
|A5 / m6
|P6
|M6
|^6/v7
|A6 / m7
|P7
|M7
|^7/v8
|P8
|P8
|-
|-
!uniform solfege
!solfege
|Da
|Da
|Du/Ro
|Du / Ro
|Ra
|Ra
|Ru/Mo
|Ru / Mo
|Ma
|Ma
|Mu/Fo
|Fa
|Fa
|Fu/So
|Fu / So
|Sa
|Sa
|Su/Lo
|Su / Lo
|La
|La
|Lu/To
|Lu / To
|Ta
|Ta
|Tu/Do
|Da
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Tu
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="9" |plain circle
'''circle of fifths (asymmetrical and major-centric)'''
| rowspan="4" |
! colspan="9" |up/down circle
|-
!
!
!0
!0
!8
!7
!2
!2
!10
!9
!4
!4
!12
!11
!6
!6
!14
!
!7
!1
!1
!9
!8
!3
!3
!11
!10
!5
!5
!13
!12
!7
|-
|-
!-a
!-a
Line 1,361: Line 1,348:
|Ma
|Ma
|Ta
|Ta
|Fa
|
|Da
|
!-u
|
|Fu
|
|Du
|
|Su
|
|Ru
|
|Lu
|Mu
|Tu
|Fu
|-
|-
| colspan="9" |
!-o
!-o
|
|
|
|
|
|
|So
|So
|Ro
|Ro
Line 1,380: Line 1,368:
|Mo
|Mo
|To
|To
|Fo
|
|Do
|
|So
|}
==15edo==
{| class="wikitable center-all"
|+uniform solfege (-u = up, -o = down, -a = plain)
![[15edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|-
!cents
!-u
|0
|
|80
|
|160
|
|240
|
|320
|
|400
|
|480
|Fu
|560
|Du
|640
|Su
|720
|Ru
|800
|Lu
|880
|
|960
|
|1040
|-
|1120
!-a
|1200
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
{| class="wikitable  center-all"
|+
uniform solfege #2 (-a = plain = perfect/major, -u = aug)
![[12edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|-
!notes
!notes
|C
|C
|^Db
|C# / Db
|vD
|D
|D / Eb
|D# / Eb
|^Eb
|E
|vE
|F
|E / F
|F# / Gb
|^F / ^Gb
|G
|vF# / vG
|G# / Ab
|G / Ab
|A
|^Ab
|A# / Bb
|vA
|B
|A / Bb
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|A1 / m2
|vM2
|M2
|M2 / m3
|A2 / m3
|^m3
|M3
|vM3
|P4
|M3 / P4
|A4 / d5
|^4 / ^d5
|P5
|vA4 / v5
|A5 / m6
|P5 / m6
|M6
|^m6
|A6 / m7
|vM6
|M7
|M6 / m7
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du / Fra
|Ro
|Ra
|Ra / Na
|Ru / Na
|Nu
|Ma
|Mo
|Fa
|Fa
|Fu / Shu
|Pa / Sha
|Po / So
|Sa
|Sa
|Flu
|Su / Fla
|Lo
|La
|La / Tha
|Lu / Tha
|Thu
|Ta
|To
|Da
|Da
|-
|-
!extras
!extras
|
|Du
|
|
|
|
|
|
|
|
|
|
|
|Fo
|Mu
|
|
|
|
Line 1,495: Line 1,479:
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="6" |plain circle
'''circle of fifths (asymmetrical and major-centric)'''
| rowspan="4" |
!
! colspan="6" |up circle
!0
| rowspan="4" |
!7
! colspan="6" |down circle
!2
|-
!0
!9
!9
!3
!4
!12
!11
!6
!6
!15
!1
!1
!8
!3
!10
!10
!4
!13
!7
!1
!2
!11
!5
!5
!14
!12
!8
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|-
!-u
|
|
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|
|
|
|
|Shu
|
|Fru
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|So
|Sha
|Ro
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
{| class="wikitable center-all"
 
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 20edo, 22edo
== 13b-edo ==
![[15edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
![[13edo]]
!0
!0
!1
!1
Line 1,577: Line 1,562:
!12
!12
!13
!13
!14
!15
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|^Db
|^C/D
|vD
|^D/E
|D/Eb
|vDb/^E
|^Eb
|Db/vEb
|vE
|Eb/vF
|E/F
|F
|^F
|G
|vG
|^G/A
|G/Ab
|^A/B
|^Ab
|vAb/^B
|vA
|Ab/vBb
|A/Bb
|Bb/vC
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1/M2
|vM2
|^M2/M3
|M2/m3
|vm2/^M3
|^m3
|m2/vm3
|vM3
|m3/v4
|M3/P4
|P4
|^4
|P5
|v5
|^5/M6
|P5/m6
|^M6/M7
|^m6
|vm6/^M7
|vM6
|m6/vm7
|M6/m7
|m7/v8
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Ru
|Du/Ra
|Ro
|Ru/Ma
|Ra/Mi
|Fro/Mu
|Mu
|Fra/No
|Mo
|Na/Fo
|Ma/Fa
|Fa
|Fu
|Sa
|So
|Su/La
|Sa/Li
|Lu/Ta
|Lu
|Flo/Tu
|Lo
|Fla/Tho
|La/Ti
|Tha/Do
|Tu
|To
|Da
|Da
|}circles of 5ths: Fu Ru Lu Mu Tu Fu --- Da Sa/Li Ra/Mi La/Ti Ma/Fa Da --- So Ro Lo Mo To So
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+someone's BC solfege from the 15edo page
|+
![[15edo]]
'''circle of fifths'''
!
!0
!0
!7
!1
!1
!8
!2
!2
!9
!3
!3
!10
!4
!4
!11
!5
!5
!12
!6
!6
!7
!8
!9
!10
!11
!12
!13
!13
!14
!15
|-
|-
!notes
!-a
|C
|Da
|^C
|Sa
|vD
|Ra
|D
|La
|^Eb
|Ma
|vE
|Ta
|F
|
|^F
|
|vG
|
|G
|
|^Ab
|
|vA
|
|Bb
|
|^Bb
|
|vB
|C
|-
|-
!intervals
!-u
|P1
|
|^1
|
|vM2
|Du
|M2
|Su
|^m3
|vM3
|P4
|^4
|v5
|P5
|^m6
|vM6
|m7
|^m7
|vM7
|P8
|-
!solfege
|Do
|Di
|Ru
|Ru
|Re
|Lu
|Me
|Mu
|Mi
|Fa
|Fu
|Su
|So
|Le
|La
|Ta
|Tu
|Tu
|Ti
|
|Do
|
|}
|
==16edo==
|
{| class="wikitable center-all"
|
|+uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
|
![[16edo]]
|-
!-o
|
|
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|-
!-a
|
|
|
|
|
|
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
 
== 14edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
![[14edo]]
!0
!0
!1
!1
Line 1,745: Line 1,715:
!13
!13
!14
!14
!15
!16
|-
!cents
|0
|75
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^C/vD
|D
|D
|Db
|^D/vE
|E
|E
|Eb
|^E/vF
|Ebb/F#
|F
|F
|Fb/G#
|^F/vG
|G
|G
|Gb/A#
|^G/vA
|A
|A
|Ab
|^A/vB
|B
|B
|Bb
|^B/vC
|Bbb/C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^1/v2
|M2
|P2
|m2
|^2/v3
|M3
|P3
|m3
|^3/v4
|d3/A4
|P4
|P4
|d4/A5
|^4/v5
|P5
|P5
|d5/A6
|^5/v6
|M6
|P6
|m6
|^6/v7
|M7
|P7
|m7
|^7/v8
|d7/A8
|P8
|P8
|-
|-
!solfege
!uniform solfege
|Da
|Da
|Du/Ro
|Du/Ro
|Ra
|Ra
|Fra
|Ru/Mo
|Ma
|Ma
|Na
|Mu/Fo
|Nu/Pa
|Fa
|Fa
|Fu/So
|Fu/So
|Sa
|Sa
|Sha/Lo
|Su/Lo
|La
|La
|Fla
|Lu/To
|Ta
|Ta
|Tha
|Tu/Do
|Thu/Do
|Da
|Da
|}
{| class="wikitable  center-all"
|+
'''circles of fifths'''
! colspan="9" |plain circle
| rowspan="4" |
! colspan="9" |up/down circle
|-
|-
!extras
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|}
{| class="wikitable center-all"
|+'''circle of fifths'''
!
!
!0
!0
!9
!8
!2
!2
!11
!10
!4
!4
!13
!12
!6
!6
!15
!14
!8
!
!7
!1
!1
!10
!9
!3
!3
!12
!11
!5
!5
!14
!13
!7
!7
!16
|-
|-
!-a
!-a
Line 1,871: Line 1,800:
|Ma
|Ma
|Ta
|Ta
|Pa
|Fa
|
|Da
|
|
|
|
|
|
|
|
|
|-
!-u
!-u
|
|
|
|
|
|
|Nu
|Thu
|Fu
|Fu
|Du
|Du
|
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Fu
|
|-
|-
| colspan="9" |
!-o
!-o
|
|
|
|
|
|
|
|Do
|So
|So
|Ro
|Ro
|Lo
|Lo
|
|Mo
|
|To
|
|Fo
|
|Do
|
|So
|
|}
|-
 
!-a
== 15edo ==
|
{| class="wikitable center-all"
|
|+
|
uniform solfege (-u = up, -o = down, -a = plain)
|
![[15edo]]
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
{| class="wikitable center-all"
|+Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[16edo]]
!0
!0
!1
!1
Line 1,966: Line 1,845:
!14
!14
!15
!15
!16
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^Db
|D
|vD
|Db/E#
|D / Eb
|E
|^Eb
|Eb
|vE
|F#
|E / F
|F
|^F / ^Gb
|Fb/G#
|vF# / vG
|G
|G / Ab
|Gb/A#
|^Ab
|A
|vA
|Ab/B#
|A / Bb
|B
|^Bb
|Bb
|vB
|C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^m2
|M2
|vM2
|m2/A3
|M2 / m3
|M3
|^m3
|m3
|vM3
|A4
|M3 / P4
|P4
|^4 / ^d5
|d4/A5
|vA4 / v5
|P5
|P5 / m6
|d5/A6
|^m6
|M6
|vM6
|m6/A7
|M6 / m7
|M7
|^m7
|m7
|vM7
|A8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|De/Ri
|Fru
|Re
|Ro
|Ra/Ma
|Ra / Na
|Mi
|Nu
|Me
|Mo
|Fi
|Fa
|Fa
|Fe/Si
|Fu / Shu
|So
|Po / So
|Se/Li
|Sa
|La
|Flu
|Le/Ta
|Lo
|Ti
|La / Tha
|Te
|Thu
|Di
|To
|Do
|Da
|-
!extras
|
|Du
|
|
|
|
|
|
|
|
|
|
|
|
|Do
|
|}
|}
==17edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down)
'''circles of fifths'''
![[17edo]]
! colspan="6" |plain circle
| rowspan="4" |
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |down circle
|-
!0
!0
!9
!3
!12
!6
!15
!1
!1
!2
!10
!3
!4
!4
!5
!13
!6
!7
!7
!8
!1
!9
!2
!10
!11
!11
!12
!5
!13
!14
!14
!15
!8
!16
!2
!17
|-
|-
!notes
|Da
|C
|Sa
|^C / Db
|Ra
|vD
|La
|D
|
|^D / Eb
|
|vE
|Fru
|E
|Flu
|F
|Nu
|^F / Gb
|Thu
|F# / vG
|Fu
|G
|
|Ab
|vA
|A
|^A / Bb
|vB
|B / vC
|C
|-
!intervals
|P1
|^1 / m2
|~2
|M2
|^M2 / m3
|~3
|M3
|P4
|~4 / d5
|A4 / ~5
|P5
|m6
|~6
|M6
|^M6 / m7
|~7
|M7 / v8
|P8
|-
!solfege
|Da
|Du / Fra
|Ro
|Ro
|Ra
|Lo
|Na
|Mo
|Mo
|Ma
|Fa
|Fu / Sha
|Pa / So
|Sa
|Fla
|Lo
|La
|Tha
|To
|To
|Ta / Do
|Po
|Da
|
|-
|-
!extras
|
|
|
|
|Fru
|Na
|No
|Tha
|Ru
|Fa
|Nu
|Da
|Fo
|
|
|
|
|
|
|
|Shu
|Fru
|
|
|Su
|Flu
|Tho
|Lu
|Thu
|
|
|
|
|}
|
{| class="wikitable center-all"
|So
|+circle of fifths
|Ro
!
|}
{| class="wikitable center-all"
|+
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 20edo, 22edo
![[15edo]]
!0
!0
!10
!1
!2
!3
!3
!13
!4
!5
!6
!6
!16
!7
!8
!9
!9
!2
!10
!11
!12
!12
!5
!13
!14
!15
!15
!8
!1
!11
!4
!14
!7
!17
|-
|-
!-a
!cents
|Da
|0
|Sa
|80
|Ra
|160
|La
|240
|Ma
|320
|Ta
|400
|Pa
|480
|
|560
|
|640
|
|720
|
|800
|
|880
|
|960
|
|1040
|
|1120
|
|1200
|
|
|-
|-
!-o
!notes
|
|C
|
|^Db
|
|vD
|
|D/Eb
|
|^Eb
|Do
|vE
|E/F
|^F
|vG
|G/Ab
|^Ab
|vA
|A/Bb
|^Bb
|vB
|C
|-
!intervals
|P1
|^m2
|vM2
|M2/m3
|^m3
|vM3
|M3/P4
|^4
|v5
|P5/m6
|^m6
|vM6
|M6/m7
|^m7
|vM7
|P8
|-
!solfege
|Da
|Ru
|Ro
|Ra/Mi
|Mu
|Mo
|Ma/Fa
|Fu
|So
|So
|Ro
|Sa/Li
|Lu
|Lo
|Lo
|Mo
|La/Ti
|Tu
|To
|To
|
|Da
|
|}
|
circles of 5ths: Fu Ru Lu Mu Tu Fu --- Da Sa/Li Ra/Mi La/Ti Ma/Fa Da --- So Ro Lo Mo To So
|
{| class="wikitable center-all"
|
|+
|
someone's BC solfege from the 15edo page
|
![[15edo]]
|-
!0
!-u
!1
|
!2
|
|
|
|
|
|
|(Fru)
|(Flu)
|(Nu)
|(Thu)
|Fu
|Du
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="6" |mid
! colspan="4" |minor
! colspan="2" |perfect
|}
{| class="wikitable center-all"
|+Andrew's BC solfege (-u = mid)
![[17edo]]
!0
!1
!2
!3
!3
!4
!4
Line 2,256: Line 2,116:
!14
!14
!15
!15
!16
!17
|-
|-
!notes
!notes
|C
|C
|^C / Db
|^C
|C# / vD
|vD
|D
|D
|^D / Eb
|^Eb
|D# / vE
|vE
|E
|F
|F
|^F / Gb
|^F
|F# / vG
|vG
|G
|G
|^G / Ab
|^Ab
|G# / vA
|vA
|A
|Bb
|^A / Bb
|^Bb
|A# / vB
|vB
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|^1
|A1 / ~2
|vM2
|M2
|M2
|^M2 / m3
|^m3
|A2 / ~3
|vM3
|M3
|P4
|P4
|~4 / d5
|^4
|A4 / ~5
|v5
|P5
|P5
|^5 / m6
|^m6
|A5 / ~6
|vM6
|M6
|m7
|^M6 / m7
|^m7
|A6 / ~7
|vM7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Da / Ra
|Di
|Di / Ru
|Ru
|Re
|Re
|Ro / Me
|Me
|Ri / Mu
|Mi
|Mi
|Fa
|Fa
|Fu / Se
|Fu
|Fi / Su
|Su
|So
|So
|Sa / Le
|Le
|Si / Lu
|La
|La
|Lo / Te
|Ta
|Li / Tu
|Tu
|Ti
|Ti
|Do
|Do
|}
|}
==18b-edo==
 
{| class="wikitable center-all"
== 16edo ==
|+uniform solfege (-a = plain, -u = up, -o = down)
{| class="wikitable center-all"
![[18edo]]
|+
uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[16edo]]
!0
!0
!1
!1
Line 2,340: Line 2,194:
!15
!15
!16
!16
!17
!18
|-
|-
!notes
!cents
|C
|0
|^C
|75
vD
|150
|D
|225
|^D
|300
vDb
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
!notes
|C
|Cb/D#
|D
|Db
|Db
E
|E
|^E
vEb
|Eb
|Eb
|^Eb / ^F#
|Ebb/F#
vF
|F
|F
|^F
|Fb/G#
vG
|G
|G
|^G
|Gb/A#
^Gb / vA
|A
|A
|^A
vAb
|Ab
|Ab
B
|B
|^B
vBb
|Bb
|Bb
|^Bb
|Bbb/C#
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|d1/A2
vM2
|M2
|M2
|~2
|m2
|m2
M3
|M3
|~3
|m3
|m3
|^m3 / ^A4
|d3/A4
v4
|P4
|P4
|^4
|d4/A5
v5
|P5
|P5
|^5
|d5/A6
vd5 / vM6
|M6
|M6
|~6
|m6
|m6
M7
|M7
|~7
|m7
|m7
|^m7
|d7/A8
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du/Ro
Ro
|Ra
|Ra
|Ru
Fro
|Fra
|Fra
Ma
|Ma
|Mu
No
|Na
|Na
|Nu / Pu
|Nu/Pa
Fo
|Fa
|Fa
|Fu
|Fu/So
So
|Sa
|Sa
|Su
|Sha/Lo
Sho / Lo
|La
|La
|Lu
Flo
|Fla
|Fla
Ta
|Ta
|Tu
Tho
|Tha
|Tha
|Thu
|Thu/Do
Do
|Da
|Da
|-
|-
Line 2,438: Line 2,274:
|
|
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|
|
|}
{| class="wikitable  center-all"
|+
'''circle of fifths'''
!
!0
!9
!2
!11
!4
!13
!6
!15
!8
!1
!10
!3
!12
!5
!14
!7
!16
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|Pa
|
|
Line 2,448: Line 2,325:
|
|
|
|
|Sha
|
|
|
|
|
|
|
|
|
|-
!-u
|
|
|
|
|}
{| class="wikitable center-all"
|+circles of fifths
! colspan="11" |plain circle
| rowspan="4" |
! colspan="11" |up/down circle
|-
!
!0
!10
!2
!12
!4
!14
!6
!16
!8
!18
!
!9
!1
!11
!3
!13
!5
!15
!7
!17
!9
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|
|
|
|
|
|
|
|
!-u
|Nu
|Thu
|Fu
|Fu
|Du
|Du
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Pu/Nu
|
|Thu
|
|Fu
|-
|-
!-a
!-o
|
|
|
|
|
|
|
|
|
|
|
|Fra
|Do
|Fla
|Na
|Tha
|Fa
|Da
!-o
|So
|So
|Ro
|Ro
|Lo/Sho
|Lo
|Fro
|
|Flo
|
|No
|
|Tho
|
|Fo
|
|Do
|
|So
|-
!-a
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
==19edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+traditional solfege
Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[19edo]]
![[16edo]]
!0
!0
!1
!1
Line 2,552: Line 2,416:
!15
!15
!16
!16
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|Cb/D#
|Db
|D
|D
|D#/Ebb
|Db/E#
|E
|Eb
|Eb
|E
|F#
|E#/Fb
|F
|F
|F#
|Fb/G#
|Gb
|G
|G
|G#/Abb
|Gb/A#
|Ab
|A
|A
|A#/Bbb
|Ab/B#
|B
|Bb
|Bb
|B
|C#
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|d1/A2
|m2
|M2
|M2
|A2/d3
|m2/A3
|M3
|m3
|m3
|M3
|A4
|A3/d4
|P4
|P4
|A4
|d4/A5
|d5
|P5
|P5
|A5/d6
|d5/A6
|m6
|M6
|M6
|A6/d7
|m6/A7
|M7
|m7
|m7
|M7
|A8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Di/Ro
|De/Ri
|Ra
|Re
|Re
|Ri/Ma
|Ra/Ma
|Mi
|Me
|Me
|Mi
|Fi
|Mo/Fe
|Fa
|Fa
|Fi
|Fe/Si
|Se
|So
|So
|Si/Lo
|Se/Li
|Le
|La
|La
|Li/Ta
|Le/Ta
|Ti
|Te
|Te
|Ti
|Di
|To/Da
|Do
|Do
|}
|}
{| class="wikitable center-all"
 
|+uniform solfege (-a = plain, -u = up, -o = down)
== 17edo ==
![[19edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down)
![[17edo]]
!0
!0
!1
!1
Line 2,643: Line 2,498:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|vE
|E
|E
|E#/Fb
|F
|F
|F#/Gbb
|^F / Gb
|Fx/Gb
|F# / vG
|G
|G
|G#/Abb
|Ab
|Ab
|vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|vB
|B
|B / vC
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1 / m2
|m2
|~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|~3
|M3
|M3
|A3/d4
|P4
|P4
|A4/dd5
|~4 / d5
|AA4/d5
|A4 / ~5
|P5
|P5
|A5/d6
|m6
|m6
|~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|~7
|M7
|M7 / v8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du/Fro
|Du / Fra
|Fra
|Ro
|Ra
|Ra
|Ru/No
|Na
|Na
|Mo
|Ma
|Ma
|Mu/Fo
|Fa
|Fa
|Pa/Sho
|Fu / Sha
|Pu/Sha
|Pa / So
|Sa
|Sa
|Su/Flo
|Fla
|Fla
|Lo
|La
|La
|Lu/Tho
|Tha
|Tha
|Ta
|To
|Tu/Do
|Ta / Do
|Da
|Da
|-
|-
Line 2,715: Line 2,562:
|
|
|
|
|Fru
|No
|Ru
|Nu
|Fo
|
|
|
|
|
|
|
|
|
|Su
|
|Flu
|Po
|Tho
|Fu
|Lu
|So
|Thu
|Shu
|
|
|
|
|
|
|
|
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+circle of fifths
|+
circle of fifths
!
!
!0
!0
!11
!10
!3
!3
!14
!13
!6
!6
!17
!16
!9
!9
!1
!2
!12
!12
!5
!15
!8
!1
!11
!4
!4
!15
!14
!7
!7
!18
!17
!10
!2
!13
!5
!16
!8
!19
|-
|-
!-a
!-a
Line 2,766: Line 2,610:
|Ta
|Ta
|Pa
|Pa
|
|
|
|
|
|
Line 2,786: Line 2,628:
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|Do
|So
|Ro
|Lo
|Mo
|To
|
|
|
|
Line 2,810: Line 2,650:
|
|
|
|
|(Fru)
|(Flu)
|(Nu)
|(Thu)
|Fu
|Du
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
Line 2,825: Line 2,663:
|-
|-
!-a
!-a
|
|
|
|
|
|
Line 2,849: Line 2,685:
! colspan="2" |perfect
! colspan="2" |perfect
! colspan="4" |major
! colspan="4" |major
! colspan="8" |in-between
! colspan="6" |mid
! colspan="4" |minor
! colspan="4" |minor
! colspan="2" |perfect
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
|+
![[19edo]]
Andrew's BC solfege (-u = mid)
![[17edo]]
!0
!0
!1
!1
Line 2,874: Line 2,711:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|C# / vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|D# / vE
|E
|E
|E#/Fb
|F
|F
|F#
|^F / Gb
|Gb
|F# / vG
|G
|G
|G#/Abb
|^G / Ab
|Ab
|G# / vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|A# / vB
|B
|B
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1 / m2
|m2
|A1 / ~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|A2 / ~3
|M3
|M3
|A3/d4
|P4
|P4
|A4
|~4 / d5
|d5
|A4 / ~5
|P5
|P5
|A5/d6
|^5 / m6
|m6
|A5 / ~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|A6 / ~7
|M7
|M7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du
|Da / Ra
|Ro
|Di / Ru
|Ra
|Re
|Ru
|Ro / Me
|Mo
|Ri / Mu
|Ma
|Mi
|Mu
|Fa
|Fa/Po
|Fu / Se
|Fu/Pa
|Fi / Su
|So
|So
|Sa
|Sa / Le
|Su
|Si / Lu
|Lo
|La
|La
|Lu
|Lo / Te
|To
|Li / Tu
|Ta
|Ti
|Tu/Do
|Do
|Da
|}
|-
 
!extras
== 18b-edo ==
|
{| class="wikitable center-all"
|
|+
|
uniform solfege (-a = plain, -u = up, -o = down)
|
![[18edo]]
|
!0
|
|
|Fo
|
|Sho
|Pu
|Shu
|
|
|
|
|
|
|
|
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu/'''Do''' So Ro Lo Mo To Po/Fa '''Da'''
==20edo==
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!1
!1
!2
!2
Line 2,988: Line 2,797:
!17
!17
!18
!18
!19
!20
|-
!cents
|0
|60
|120
|180
|240
|300
|360
|420
|480
|540
|600
|660
|720
|780
|840
|900
|960
|1020
|1080
|1140
|1200
|-
|-
!notes
!notes
|C
|C
|^Db
|^C
|vvD
 
|vD
vD
|D/Eb
|D
|^Eb
|^D
|vvE
 
|vE
vDb
|F
|Db
|^F/^Gb
 
|^^F/vvG
E
|vF#/vG
|^E
 
vEb
|Eb
|^Eb / ^F#
 
vF
|F
|^F
 
vG
|G
|G
|^Ab
|^G
|vvA
 
|vA
vGb / vA
|A/Bb
|A
|^A
 
vAb
|Ab
 
B
|^B
 
vBb
|Bb
|^Bb
|^Bb
|vvB
 
|vB
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1
 
vM2
|M2
|~2
|~2
|vM2
|m2
|M2/m3
 
|^m3
M3
|~3
|~3
|vM3
|m3
|^m3 / ^A4
 
v4
|P4
|P4
|^4/^d5
|^4
|~4/~5
 
|vA4/v5
v5
|P5
|P5
|^m6
|^5
 
vd5 / vM6
|M6
|~6
|~6
|vM6
|m6
|M6/m7
 
M7
|~7
|m7
|^m7
|^m7
|~7
 
|vM7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du
|Ri
 
|Ro
Ro
|Ra/Na
|Ra
|Nu
|Ru
|Mi
 
|Mo
Fro
|Fra
 
Ma
|Mu
 
No
|Na
|Nu / Pu
 
Fo
|Fa
|Fa
|Fu/Shu
|Fu
|Fi/Si
 
|Po/So
So
|Sa
|Sa
|Flu
|Su
|Li
 
|Lo
Sho / Lo
|La/Tha
|La
|Lu
 
Flo
|Fla
 
Ta
|Tu
 
Tho
|Tha
|Thu
|Thu
|Ti
 
|To
Do
|Da
|Da
|-
|-
!extras
!extras
|
|
|Du
|
|
|
|
Line 3,091: Line 2,926:
|
|
|
|
|Pa
|
|
|Ma
|
|
|
|
|
|
|Fla
|
|
|Sha
|
|
|
|
Line 3,103: Line 2,938:
|
|
|
|
|Do
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="6" |plain circle
circles of fifths
! colspan="11" |plain circle
| rowspan="4" |
| rowspan="4" |
! colspan="6" |up circle
! colspan="11" |up/down circle
| rowspan="4" |
! colspan="6" |mid circle
| rowspan="4" |
! colspan="6" |down circle
|-
|-
!
!0
!0
!10
!2
!12
!12
!4
!4
!14
!6
!16
!16
!8
!8
!20
!18
!
!9
!1
!1
!11
!3
!13
!13
!5
!5
!15
!7
!17
!17
!9
!9
!1
!2
!14
!6
!18
!10
!2
!2
!11
!5
!14
!8
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|Ta
|
|
|
|
|Fru
|
|Flu
|
|Nu
!-u
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Nu
|Thu
|Thu
|Fu
|Fu
|-
!-a
|
|
|Ri
|Li
|Mi
|Ti
|Pi
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|
|
|
|
|Fra
|Fla
|Na
|Na
|Tha
|Tha
|Fa
|Fa
|Da
|Da
|
!-o
|
|So
|
|Ro
|
|Lo/Sho
|Shu
|Fro
|Fru
|Flo
|
|No
|
|Tho
|
|Fo
|
|Do
|Si
|Ri
|
|
|
|
|So
|So
|Ro
|}
|}
{| class="wikitable center-all"
 
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -e = mid, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo, 22edo
== 19edo ==
![[20edo]]
{| class="wikitable center-all"
|+
traditional solfege
![[19edo]]
!0
!0
!1
!1
Line 3,214: Line 3,042:
!18
!18
!19
!19
!20
|-
|-
!notes
!notes
|C/Db
|C
|^Db
|C#/Dbb
|vvD
|Db
|vD
|D
|D/Eb
|D#/Ebb
|^Eb
|Eb
|vvE
|E
|vE
|E#/Fb
|E/F
|F
|^F
|F#
|^^F/vvG
|Gb
|vG
|G
|G/Ab
|G#/Abb
|^Ab
|Ab
|vvA
|A
|vA
|A#/Bbb
|A/Bb
|Bb
|^Bb
|B
|vvB
|B#/Cb
|vB
|C
|B/C
|-
|-
!intervals
!intervals
|P1/m2
|P1
|^m2
|A1/d2
|~2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|~3
|M3
|vM3
|A3/d4
|M3/P4
|P4
|^4
|A4
|~4/~5
|d5
|v5
|P5
|P5/m6
|A5/d6
|^m6
|m6
|~6
|M6
|vM6
|A6/d7
|M6/m7
|m7
|^m7
|M7
|~7
|A7/d8
|vM7
|P8
|M7/P8
|-
|-
!solfege
!solfege
|Da/Ri
|Do
|Ru
|Di/Ro
|Ra
|Re
|Re
|Ro
|Ri/Ma
|Ra/Mi
|Mu
|Me
|Me
|Mo
|Mi
|Ma/Fa
|Mo/Fe
|Fu
|Fa
|Fe/Se
|Fi
|Se
|So
|So
|Sa/Li
|Si/Lo
|Lu
|Le
|Le
|Lo
|La
|La/Ti
|Li/Ta
|Tu
|Te
|Te
|To
|Ti
|Ta/Da
|To/Da
|Do
|}
|}
==21edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
uniform solfege (-a = plain, -u = up, -o = down)
![[21edo]]
![[19edo]]
!0
!0
!1
!1
Line 3,309: Line 3,133:
!18
!18
!19
!19
!20
!21
|-
|-
!notes
!notes
|C
|C
|^C
|C#/Dbb
|vD
|Db
|D
|D
|^D
|D#/Ebb
|vE
|Eb
|E
|E
|^E
|E#/Fb
|vF
|F
|F
|^F
|F#/Gbb
|vG
|Fx/Gb
|G
|G
|^G
|G#/Abb
|vA
|Ab
|A
|A
|^A
|A#/Bbb
|vB
|Bb
|B
|B
|^B
|B#/Cb
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|A1/d2
|v2
|m2
|P2
|M2
|^2
|A2/d3
|v3
|m3
|P3
|M3
|^3
|A3/d4
|v4
|P4
|P4
|^4
|A4/dd5
|v5
|AA4/d5
|P5
|P5
|^5
|A5/d6
|v6
|m6
|P6
|M6
|^6
|A6/d7
|v7
|m7
|P7
|M7
|^7
|A7/d8
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du/Fro
|Ro
|Fra
|Ra
|Ra
|Ru
|Ru/No
|Mo
|Na
|Ma
|Ma
|Mu
|Mu/Fo
|Fo
|Fa
|Fa
|Fu
|Pa/Sho
|So
|Pu/Sha
|Sa
|Sa
|Su
|Su/Flo
|Lo
|Fla
|La
|La
|Lu
|Lu/Tho
|To
|Tha
|Ta
|Ta
|Tu
|Tu/Do
|Do
|Da
|Da
|-
!extras
|
|
|
|
|
|
|
|
|Po
|Fu
|So
|Shu
|
|
|
|
|
|
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="8" |plain circle
circle of fifths
| rowspan="3" |
!
! colspan="8" |up circle
| rowspan="3" |
! colspan="8" |down circle
|-
!0
!0
!12
!11
!3
!3
!15
!14
!6
!6
!18
!17
!9
!9
!21
!1
!1
!13
!12
!4
!4
!16
!15
!7
!7
!19
!18
!10
!10
!1
!2
!2
!14
!13
!5
!5
!17
!16
!8
!8
!20
!19
!11
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
Line 3,423: Line 3,254:
|Ma
|Ma
|Ta
|Ta
|Fa
|Pa
|Da
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|
|Du
|Du
|Su
|Su
Line 3,431: Line 3,305:
|Mu
|Mu
|Tu
|Tu
|Fu
|Pu
|Du
|
|Do
|
|So
|
|Ro
|
|Lo
|
|Mo
|
|To
|-
|Fo
!-a
|Do
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
==22edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
![[22edo]]
![[19edo]]
!0
!0
!1
!1
Line 3,466: Line 3,366:
!18
!18
!19
!19
!20
!21
!22
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|Db
|Db
|^Db
|vD
|D
|D
|D#/Ebb
|Eb
|Eb
|^Eb
|vE
|E
|E
|E#/Fb
|F
|F
|^F/Gb
|F#
|vF#/^Gb
|Gb
|F#/vG
|G
|G
|G#/Abb
|Ab
|Ab
|^Ab
|vA
|A
|A
|A#/Bbb
|Bb
|Bb
|^Bb
|vB
|B
|B
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|m2
|m2
|^m2
|vM2
|M2
|M2
|A2/d3
|m3
|m3
|^m3
|vM3
|M3
|M3
|A3/d4
|P4
|P4
|^4/d5
|A4
|vA4/^d5
|d5
|A4/v5
|P5
|P5
|A5/d6
|m6
|m6
|^m6
|vM6
|M6
|M6
|A6/d7
|m7
|m7
|^m7
|vM7
|M7
|M7
|A7/d8
|P8
|P8
|-
|-
Line 3,523: Line 3,414:
|Da
|Da
|Du
|Du
Fra
|Fru
|Ro
|Ro
|Ra
|Ra
|Na
|Ru
|Nu
|Mo
|Mo
|Ma
|Ma
|Fa
|Mu
|Fu
|Fa/Po
Sha
|Fu/Pa
|Po
|So
Shu
|Pa
So
|Sa
|Sa
|Fla
|Su
|Flu
|Lo
|Lo
|La
|La
|Tha
|Lu
|Thu
|To
|To
|Ta
|Ta
Do
|Tu/Do
|Da
|Da
|-
|-
!extras
!extras
|Fro
|
|
|
|
|
|
|No
|
|Ru
|
|
|
|
|
|Fo
|Fo
|Mu
|
Sho
|Sho
|Pu
|Shu
|
|
|
|
|
|
|Pu
Flo
|Su
|
|
|
|
|Tho
|Lu
|
|
|
|
|
|
|Tu
|}
|}
{| class="wikitable center-all"
'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu/'''Do''' So Ro Lo Mo To Po/Fa '''Da'''
|+'''circle of fifths'''
 
!
== 20edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!0
!13
!1
!2
!3
!4
!4
!17
!5
!6
!7
!8
!8
!21
!9
!10
!11
!12
!12
!3
!13
!14
!15
!16
!16
!7
!17
!18
!19
!20
!20
!11
!2
!15
!6
!19
!10
!1
!14
!5
!18
!9
!22
|-
|-
!-a
!cents
|Da
|0
|Sa
|60
|Ra
|120
|La
|180
|Ma
|240
|Ta
|300
|Pa
|360
|
|420
|
|480
|
|540
|
|600
|
|660
|
|720
|
|780
|
|840
|
|900
|
|960
|
|1020
|
|1080
|
|1140
|
|1200
|
|
|-
|-
!-o
!notes
|
|C
|
|^Db
|
|vvD
|
|vD
|
|D/Eb
|Do
|^Eb
|So
|vvE
|vE
|F
|^F/^Gb
|^^F/vvG
|vF#/vG
|G
|^Ab
|vvA
|vA
|A/Bb
|^Bb
|vvB
|vB
|C
|-
!intervals
|P1
|^m2
|~2
|vM2
|M2/m3
|^m3
|~3
|vM3
|P4
|^4/^d5
|~4/~5
|vA4/v5
|P5
|^m6
|~6
|vM6
|M6/m7
|^m7
|~7
|vM7
|P8
|-
!solfege
|Da
|Fru
|Ri
|Ro
|Ro
|Ra/Na
|Nu
|Mi
|Mo
|Fa
|Fu/Shu
|Fi/Si
|Po/So
|Sa
|Flu
|Li
|Lo
|Lo
|Mo
|La/Tha
|Thu
|Ti
|To
|To
|Po
|Da
|-
!extras
|
|
|Du
|
|
|
|
Line 3,649: Line 3,585:
|
|
|
|
|Ma
|
|
|
|
|
|
|Fla
|
|
|-
!-u
|
|
|
|
Line 3,660: Line 3,596:
|
|
|
|
|Do
|
|
|}
{| class="wikitable  center-all"
|+
'''circles of fifths'''
! colspan="6" |plain circle
| rowspan="4" |
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |mid circle
| rowspan="4" |
! colspan="6" |down circle
|-
!0
!12
!4
!16
!8
!20
!1
!13
!5
!17
!9
!1
!2
!14
!6
!18
!10
!2
!2
!11
!5
!14
!8
!2
|-
|Da
|Sa
|Ra
|La
|
|
|
|
|
|
|
|Shu
|Fru
|Fru
|Flu
|Flu
Line 3,672: Line 3,646:
|Thu
|Thu
|Fu
|Fu
|Du
|
|
|
|
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|-
!-a
|
|
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|
|
|
|
|Shu
|Fru
|
|
|
|
|
|
|
|
|Si
|Ri
|
|
|
|
|
|
|
|
|
|So
|
|Ro
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
|
! colspan="4" |downmajor
|
! colspan="4" |upminor
|
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo
|+
![[22edo]]
Kite's diatonic solfege (-i = minor, -u = upminor, -e = mid, -o = downmajor, -a = major), see 15edo, 22edo
![[20edo]]
!0
!0
!1
!1
Line 3,739: Line 3,710:
!19
!19
!20
!20
!21
!22
|-
|-
!notes
!notes
|C
|C/Db
|^C/Db
|^Db
|^Db
|vvD
|vD
|vD
|D
|D/Eb
|Eb
|^Eb
|^Eb
|vvE
|vE
|vE
|E
|E/F
|F
|^F
|^F
|vF#/^Gb
|^^F/vvG
|vG
|vG
|G
|G/Ab
|Ab
|^Ab
|^Ab
|vvA
|vA
|vA
|A
|A/Bb
|Bb
|^Bb
|^Bb
|vvB
|vB
|vB
|B/vC
|B/C
|C
|-
|-
!intervals
!intervals
|P1
|P1/m2
|^1/m2
|^m2
|^m2
|~2
|vM2
|vM2
|M2
|M2/m3
|m3
|^m3
|^m3
|~3
|vM3
|vM3
|M3
|M3/P4
|P4
|^4
|^4
|vA4/^d5
|~4/~5
|v5
|v5
|P5
|P5/m6
|m6
|^m6
|^m6
|~6
|vM6
|vM6
|M6
|M6/m7
|m7
|^m7
|^m7
|~7
|vM7
|vM7
|M7/v8
|M7/P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da/Ri
|Du/Ri
|Ru
|Ru
|Re
|Ro
|Ro
|Ra
|Ra/Mi
|Mi
|Mu
|Mu
|Me
|Mo
|Mo
|Ma
|Ma/Fa
|Fa
|Fu
|Fu
|Po/Shu
|Fe/Se
|So
|So
|Sa
|Sa/Li
|Li
|Lu
|Lu
|Le
|Lo
|Lo
|La
|La/Ti
|Ti
|Tu
|Tu
|Te
|To
|To
|Ta/Do
|Ta/Da
|Da
|}
|}
{| class="wikitable center-all"
 
|+circle of 5ths (1 non-rhyming 5th, Ti-Fa)
== 21edo ==
!
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
![[21edo]]
!0
!0
!13
!1
!2
!3
!4
!4
!17
!5
!6
!7
!8
!8
!21
!9
!10
!11
!12
!12
!3
!13
!14
!15
!16
!16
!7
!17
!18
!19
!20
!20
!11
!21
!2
!15
!6
!19
!10
!1
!14
!5
!18
!9
!22
|-
|-
!-a
!notes
|C
|^C
|vD
|D
|^D
|vE
|E
|^E
|vF
|F
|^F
|vG
|G
|^G
|vA
|A
|^A
|vB
|B
|^B
|vC
|C
|-
!intervals
|P1
|^1
|v2
|P2
|^2
|v3
|P3
|^3
|v4
|P4
|^4
|v5
|P5
|^5
|v6
|P6
|^6
|v7
|P7
|^7
|v8
|P8
|-
!solfege
|Da
|Da
|Du
|Ro
|Ra
|Ru
|Mo
|Ma
|Mu
|Fo
|Fa
|Fu
|So
|Sa
|Sa
|Ra
|Su
|Lo
|La
|La
|Ma
|Lu
|To
|Ta
|Ta
|
|Tu
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|Do
|Do
|So
|Da
|Ro
|}
|Lo
{| class="wikitable  center-all"
|Mo
|+
|To
'''circles of fifths'''
|Po
! colspan="8" |plain circle
|
| rowspan="3" |
|
! colspan="8" |up circle
|
| rowspan="3" |
|
! colspan="8" |down circle
|
|
|
|
|
|
|
|-
|-
!-u
!0
|
!12
|
!3
|
!15
|
!6
|
!18
|
!9
|
!21
|
!1
|
!13
|
!4
|
!16
|Shu
!7
!19
!10
!1
!2
!14
!5
!17
!8
!20
!11
!2
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|Du
|Su
|Ru
|Ru
|Lu
|Lu
Line 3,913: Line 3,931:
|Fu
|Fu
|Du
|Du
|
|Do
|
|So
|
|Ro
|
|Lo
|
|Mo
|To
|Fo
|Do
|}
 
== 22edo ==
{| class="wikitable  center-all"
|+
uniform solfege  (-u = up, -o = down, -a = plain)
![[22edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
|-
!-i
!notes
|
|C
|
|Db
|
|^Db
|
|vD
|
|D
|
|Eb
|
|^Eb
|
|vE
|
|E
|
|F
|
|^F/Gb
|
|vF#/^Gb
|
|F#/vG
|
|G
|
|Ab
|
|^Ab
|
|vA
|Ri
|A
|Li
|Bb
|Mi
|^Bb
|Ti
|vB
|
|B
|
|C
|-
|-
!-a
!intervals
|
|P1
|
|m2
|
|^m2
|
|vM2
|
|M2
|
|m3
|
|^m3
|
|vM3
|
|M3
|
|P4
|^4/d5
|vA4/^d5
|A4/v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Da
|Du
 
Fra
|Fru
|Ro
|Ra
|Na
|Nu
|Mo
|Ma
|Fa
|Fu
 
Sha
|Po
 
Shu
|Pa
 
So
|Sa
|Fla
|Flu
|Lo
|La
|Tha
|Thu
|To
|Ta
 
Do
|Da
|-
!extras
|Fro
|
|
|
|
|No
|Ru
|
|
|
|
|Fo
|Mu
Sho
|
|
|
|
|
|
|Pu
Flo
|Su
|
|
|
|
|Tho
|Lu
|
|
|
|
|
|
|Fa
|Tu
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Andrew's BC solfege
|+
![[22edo]]
'''circle of fifths'''
!
!0
!0
!1
!13
!4
!17
!8
!21
!12
!3
!16
!7
!20
!11
!2
!2
!3
!15
!4
!5
!6
!6
!7
!19
!8
!9
!10
!10
!11
!1
!12
!13
!14
!14
!15
!5
!16
!17
!18
!18
!19
!9
!20
!21
!22
!22
|-
|-
!notes
!-a
|C
|Da
|Db
|Sa
|^Db
|Ra
|vD
|La
|D
|Ma
|Eb
|Ta
|^Eb
|Pa
|vE
|
|E
|
|F
|
|^F/Gb
|
|vF#/^Gb
|
|F#/vG
|
|G
|
|Ab
|
|^Ab
|
|vA
|
|A
|
|Bb
|
|^Bb
|
|vB
|
|B
|
|C
|
|-
|-
!intervals
!-o
|P1
|
|m2
|
|^m2
|
|vM2
|
|M2
|
|m3
|^m3
|vM3
|M3
|P4
|^4/d5
|vA4/^d5
|A4/v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Do
|Do
|Di
|So
|Ra
|Ro
|Ru
|Lo
|Re
|Ma
|Me
|Mi
|Mo
|Mo
|Fa
|To
|Fu
|Po
|Fi
|
|Su
|
|Sol
|
|Lo
|
|Le
|
|La
|
|Li
|
|Ta
|
|Tu
|
|Ti
|
|Da
|
|Do
|}
==23edo==
{| class="wikitable center-all"
|+uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[23edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
|-
|-
!notes
!-u
|C
|
|Cb
|
|D#
|
|D
|
|Db
|
|Dbb
|
E#
|
|E
|
|Eb
|
|Ebb
|
|F#
|
|F
|Shu
|Fb
|Fru
|G#
|Flu
|G
|Nu
|Gb
|Thu
|A#
|Fu
|A
|Du
|Ab
|
|Abb
|
B#
|
|B
|
|Bb
|
|Bbb
|C#
|C
|-
|-
!intervals
!-a
|P1
|
|d1
|
|A2
|
|M2
|
|m2
|
|d2
|
A3
|
|M3
|
|m3
|
|d3
|
|A4
|
|P4
|
|d4
|
|A5
|
|P5
|
|d5
|
|A6
|Sha
|M6
|Fra
|m6
|Fla
|d6
|Na
A7
|Tha
|M7
|Fa
|m7
|Da
|d7
|A8
|P8
|-
|-
!solfege
!
|Da
! colspan="2" |perfect
|Du
! colspan="4" |major
|Ro
|Ra
|Fra
|Fru
Mo
|Ma
|Na
|Nu
|Fo
Pa
|Fa
|Fu
|So
|Sa
|Su
Sha
|Lo
|La
|Fla
|Flu
To
|Ta
|Tha
|Thu
|Do
|Da
|-
!extras
|
|
|
|Fro
|Ru
|
|No
|Mu
|
|
|Pu
|
|
|Sho
|
|
|Flo
|Lu
|
|Tho
|Tu
|
|
! colspan="4" |downmajor
|
|
! colspan="4" |upminor
|
|
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circle of fifths'''
|+
!
Kite's diatonic solfege  (-i = minor, -u = upminor, -o = downmajor, -a = major), see 15edo
![[22edo]]
!0
!0
!13
!1
!2
!3
!3
!16
!4
!5
!6
!6
!19
!7
!8
!9
!9
!22
!10
!11
!12
!12
!2
!13
!14
!15
!15
!5
!16
!17
!18
!18
!8
!19
!20
!21
!21
!11
!22
!1
!14
!4
!17
!7
!20
!10
!23
|-
|-
!-a
!notes
|Da
|C
|Sa
|^C/Db
|Ra
|^Db
|La
|vD
|Ma
|D
|Ta
|Eb
|Pa
|^Eb
|
|vE
|
|E
|
|F
|
|^F
|
|vF#/^Gb
|
|vG
|
|G
|
|Ab
|
|^Ab
|
|vA
|
|A
|
|Bb
|
|^Bb
|
|vB
|
|B/vC
|
|C
|
|-
!intervals
|P1
|^1/m2
|^m2
|vM2
|M2
|m3
|^m3
|vM3
|M3
|P4
|^4
|vA4/^d5
|v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7/v8
|P8
|-
|-
!-o
!solfege
|
|Da
|
|Du/Ri
|
|Ru
|
|Ro
|
|Ra
|
|Mi
|Fo
|Mu
|Do
|Mo
|Ma
|Fa
|Fu
|Po/Shu
|So
|So
|Ro
|Sa
|Li
|Lu
|Lo
|Lo
|Mo
|La
|Ti
|Tu
|To
|To
|Ta/Do
|Da
|}
{| class="wikitable center-all"
|+
circle of 5ths (1 non-rhyming 5th, Ti-Fa)
!
!0
!13
!4
!17
!8
!21
!12
!3
!16
!7
!20
!11
!2
!15
!6
!19
!10
!1
!14
!5
!18
!9
!22
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|
|
|
|
|
Line 4,288: Line 4,370:
|
|
|
|
|
|
|
|-
!-u
|
|
|
|
Line 4,300: Line 4,377:
|
|
|
|
|
|-
!-o
|
|
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|
|
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
Line 4,317: Line 4,397:
|
|
|
|
|-
!-a
|
|
|
|
Line 4,325: Line 4,403:
|
|
|
|
|-
!-u
|
|
|
|
Line 4,336: Line 4,416:
|
|
|
|
|Sha
|Shu
|Fra
|Ru
|Fla
|Lu
|Na
|Mu
|Tha
|Tu
|Fa
|Fu
|Du
|
|
|
|
|
|-
!-i
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Ri
|Li
|Mi
|Ti
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|Da
|}
|}
==24edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
|+
![[24edo]]
Andrew's BC solfege
![[22edo]]
!0
!0
!1
!1
Line 4,371: Line 4,506:
!21
!21
!22
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
vDb
|Db
|Db
|^Db
|^Db
vD
|vD
|D
|D
|^D
vEb
|Eb
|Eb
|^Eb
|^Eb
vE
|vE
|E
|E
|^E
vF
|F
|F
|^F
|^F/Gb
vF# vGb
|vF#/^Gb
|F#
|F#/vG
Gb
|^F#
^Gb vG
|G
|G
|^G
vAb
|Ab
|Ab
|^Ab
|^Ab
vA
|vA
|A
|A
|^A
vBb
|Bb
|Bb
|^Bb
|^Bb
vB
|vB
|B
|B
|^B
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
vm2
|m2
|m2
|~2
|^m2
|vM2
|M2
|M2
|^M2
vm3
|m3
|m3
|~3
|^m3
|vM3
|M3
|M3
|^M3
v4
|P4
|P4
|~4
|^4/d5
vd5
|vA4/^d5
|A4
|A4/v5
d5
|~5
v5
|P5
|P5
|^5
vm6
|m6
|m6
|~6
|^m6
|vM6
|M6
|M6
|^M6
vm7
|m7
|m7
|~7
|^m7
|vM7
|M7
|M7
|^M7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du
|Di
Fro
|Fra
|Fru
Ro
|Ra
|Ra
|Ru
|Ru
No
|Re
|Na
|Nu
Mo
|Ma
|Ma
|Mu
|Me
Fo
|Mi
|Mo
|Fa
|Fa
|Fu
|Fu
Po
|Fi
 
Sho
|Pa
Sha
|Pu
Shu So
|Sa
|Su
|Su
Flo
|Sol
|Fla
|Lo
|Flu
|Le
Lo
|La
|La
|Lu
|Li
Tho
|Tha
|Thu
To
|Ta
|Ta
|Tu
|Tu
Do
|Ti
|Da
|Da
|Do
|}
|}
Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.
 
== 23edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
circle
![[23edo]]
!
!0
!0
!14
!1
!2
!3
!4
!4
!18
!5
!6
!7
!8
!8
!22
!9
!10
!11
!12
!12
!2
!13
!14
!15
!16
!16
!6
!17
!18
!19
!20
!20
!10
!21
!24
!22
!23
|-
|-
!-a
!notes
|Da
|C
|Sa
|Cb
|Ra
|D#
|La
|D
|Ma
|Db
|Ta
|Dbb
|Pa
 
|
E#
|
|E
|
|Eb
|
|Ebb
|
|F#
|
|F
|Fb
|G#
|G
|Gb
|A#
|A
|Ab
|Abb
 
B#
|B
|Bb
|Bbb
|C#
|C
|-
|-
!-a
!intervals
|
|P1
|
|d1
|
|A2
|
|M2
|
|m2
|
|d2
|Sha
 
|Fra
A3
|Fla
|M3
|Na
|m3
|Tha
|d3
|Fa
|A4
|Da
|P4
|-
|d4
| colspan="15" |
|A5
|P5
|d5
|A6
|M6
|m6
|d6
 
A7
|M7
|m7
|d7
|A8
|P8
|-
|-
!
!solfege
!
|Da
!1
!15
!5
!19
!9
!23
!13
!3
!17
!7
!21
!11
!1
|-
! rowspan="2" |up
circle
!-u
|Du
|Du
|Ro
|Ra
|Fra
|Fru
Mo
|Ma
|Na
|Nu
|Fo
Pa
|Fa
|Fu
|So
|Sa
|Su
|Su
|Ru
 
|Lu
Sha
|Mu
|Lo
|Tu
|La
|Pu
|Fla
|Flu
 
To
|Ta
|Tha
|Thu
|Do
|Da
|-
!extras
|
|
|
|
|
|
|Fro
|Ru
|
|
|No
|Mu
|
|
|
|
|-
|Pu
!-u
|
|
|
|
|
|Sho
|
|
|
|
|Flo
|Lu
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
! rowspan="2" |down
circle
!-o
|Fro
|Flo
|No
|Tho
|Tho
|Fo
|Tu
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
!-o
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sho
|Fro
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #2 (-a = plain, -i = mid/down)
|+
![[24edo]]
'''circle of fifths'''
!
!0
!0
!1
!13
!2
!3
!3
!4
!16
!5
!6
!6
!7
!19
!8
!9
!9
!10
!22
!11
!12
!12
!13
!2
!14
!15
!15
!16
!5
!17
!18
!18
!19
!8
!20
!21
!21
!22
!11
!1
!14
!4
!17
!7
!20
!10
!23
!23
!24
|-
|-
!notes
!-a
|C
|vDb
|Db
|vD
|D
|vEb
|Eb
|vE
|E
|vF
|F
|vF#/vGb
|F#/Gb
|vG
|G
|vAb
|Ab
|vA
|A
|vBb
|Bb
|vB
|B
|vC
|C
|-
!intervals
|P1
|vm2
|m2
|~2
|M2
|vm3
|m3
|~3
|M3
|v4
|P4
|vA4/vd5
|A4/d5
|v5
|P5
|vm6
|m6
|~6
|M6
|vm7
|m7
|~7
|M7
|v8
|P8
|-
!solfege
|Da
|Da
|Fri
|Sa
|Fra
|Ri
|Ra
|Ra
|Ni
|La
|Na
|Ma
|Mi
|Ma
|Fi
|Fa
|Pi/Shi
|Pa/Sha
|Si
|Sa
|Fli
|Fla
|Li
|La
|Thi
|Tha
|Ti
|Ta
|Ta
|Di
|Pa
|Da
|
|}plain/mid rings:
|
 
|
Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
|
 
|
Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
|
 
|
''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''
|
{| class="wikitable center-all"
|
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
|
![[24edo]]
|
!0
|
!1
|
!2
|
!3
|
!4
|
!5
|
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
|-
!notes
!-o
|C
|
|^C
|
vDb
|
|Db
|
|vD
|
|D
|
|^D
|Fo
vEb
|Do
|Eb
|So
|vE
|Ro
|E
|Lo
|^E
|Mo
vF
|To
|F
|
|^F
|
vGb
|
|F#
|
Gb
|
|^F#
|
vG
|
|G
|
|^G
|
vAb
|
|Ab
|
|vA
|A
|^A
vBb
|Bb
|vB
|B
|^B
vC
|C
|-
|-
!intervals
!-u
|P1
|
|^1
|
vm2
|
|m2
|
|~2
|
|M2
|
|^M2
|
vm3
|
|m3
|
|~3
|
|M3
|
|^M3
|Fru
v4
|Flu
|P4
|Nu
|^4
|Thu
vd5
|Fu
|A4
|Du
d5
|Su
|^A4
|
v5
|
|P5
|
|^5
|
vm6
|
|m6
|
|~6
|M6
|^M6
vm7
|m7
|~7
|M7
|^M7
v8
|P8
|-
|-
!solfege
!-a
|Do
|
|Da
|
Ru
|
|Ro
|
|Ra
|
|Re
|
|Ri
|
Mu
|
|Mo
|
|Ma
|
|Me
|
|Mi
|
Fu
|
|Fo
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
Su
|Da
|Fe
So
|Fi
Sa
|Se
|Si
Lu
|Lo
|La
|Le
|Li
Tu
|To
|Ta
|Te
|Ti
Du
|Do
|}
|}
==25edo==
 
== 24edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[25edo]]
uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
!edosteps
![[24edo]]
! colspan="2" |solfege names
!0
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
|-
!unisons
!notes
|0-1
|C
| colspan="2" |Da Du/Fru
|^C
| colspan="2" |P1 ^1/^m2
 
| colspan="2" |C ^C/^Db
vDb
|Db
|^Db
 
vD
|D
|^D
 
vEb
|Eb
|^Eb
 
vE
|E
|^E
 
vF
|F
|^F
 
vF# vGb
|F#
 
Gb
|^F#
 
^Gb vG
|G
|^G
 
vAb
|Ab
|^Ab
 
vA
|A
|^A
 
vBb
|Bb
|^Bb
 
vB
|B
|^B
 
vC
|C
|-
|-
!2nds
!intervals
|1-5
|P1
|Du/Fru Fri
|^1
|Ri Ro Ra/Na
 
|^1/^m2 v~2
vm2
|^~2 vM2 M2/m3
|m2
|^C/^Db ^^Db
|~2
|vvD vD D/Eb
|M2
|^M2
 
vm3
|m3
|~3
|M3
|^M3
 
v4
|P4
|~4
 
vd5
|A4
 
d5
|~5
 
v5
|P5
|^5
 
vm6
|m6
|~6
|M6
|^M6
 
vm7
|m7
|~7
|M7
|^M7
 
v8
|P8
|-
|-
!3rds
!solfege
|5-9
|Da
|Ra/Na Nu Ni
|Du
|Mi Mo
 
|M2/m3 ^m3 v~3
Fro
|^~3 vM3
|Fra
|D/Eb ^Eb ^^Eb
|Fru
|vvE vE
 
|-
Ro
!4ths
|Ra
|10
|Ru
| colspan="2" |Fa
 
| colspan="2" |P4
No
| colspan="2" |F
|Na
|-
|Nu
!tritones
 
|11-14
Mo
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
|Ma
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
|Mu
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
 
Fo
|Fa
|Fu
 
Po
 
Sho
|Pa
 
Sha
|Pu
 
Shu So
|Sa
|Su
 
Flo
|Fla
|Flu
 
Lo
|La
|Lu
 
Tho
|Tha
|Thu
 
To
|Ta
|Tu
 
Do
|Da
|}
Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain
 
circle
!
!0
!14
!4
!18
!8
!22
!12
!2
!16
!6
!20
!10
!24
|-
|-
!5ths
!-a
|15
|Da
| colspan="2" |Sa
|Sa
| colspan="2" |P5
|Ra
| colspan="2" |G
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
!6ths
!-a
|16-20
|
|Flu Fli
|
|Li Lo La/Tha
|
|^m6 v~6
|
|^~6 vM6 M6/m7
|
|^Ab ^^Ab
|
|vvA vA A/Bb
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!7ths
| colspan="15" |
|20-24
|La/Tha Thu Thi
|Ti To/Do
|M6/m7
|^~7 vM7/v8
|A/Bb ^Bb ^^Bb
|vvB vB/vC
|-
|-
!8ves
!
|24-25 (26)
!
| colspan="2" |To/Do Da (Du)
!1
| colspan="2" |vM7/v8 P8 (^8)
!15
| colspan="2" |vB/vC C (^C)
!5
|}
!19
{| class="wikitable center-all"
!9
|+Uniform solfege (-a = plain, -u = up, -o = down, -i = mid)  (duplicate names are '''bolded)'''
!23
![[25edo]]
!13
!edosteps
!3
! colspan="2" |solfege names
!17
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!7
|-
!21
!unisons
!11
|0-'''1'''
!1
| colspan="2" |Da '''Du'''
| colspan="2" |P1 '''^1'''
| colspan="2" |C '''^C'''
|-
|-
!2nds
! rowspan="2" |up
|'''1-5'''
 
|'''Fru''' Fri
circle
|Ri Ro '''Ra'''
!-u
|'''^m2''' v~2
|Du
|^~2 vM2 '''M2'''
|Su
|'''^Db''' ^^Db
|Ru
|vvD vD '''D'''
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!3rds
!-u
|'''5'''-9
|
|'''Na''' Nu Ni
|
|Mi Mo
|
|'''m3''' ^m3 v~3
|
|^~3 vM3
|
|'''Eb''' ^Eb ^^Eb
|
|vvE vE
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!4ths
! rowspan="2" |down
|10
 
| colspan="2" |Fa
circle
| colspan="2" |P4
!-o
| colspan="2" |F
|Fro
|-
|Flo
!tritones
|No
|11-14
|Tho
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
|Fo
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
|Do
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!5ths
!-o
|15
|
| colspan="2" |Sa
| colspan="2" |P5
| colspan="2" |G
|-
!6ths
|16-'''20'''
|Flu Fli
|Li Lo '''La'''
|^m6 v~6
|^~6 vM6 '''M6'''
|^Ab ^^Ab
|vvA vA '''A'''
|-
!7ths
|'''20-24'''
|'''Tha''' Thu Thi
|Ti '''To'''
|'''m7'''
|^~7 '''vM7'''
|'''Bb''' ^Bb ^^Bb
|vvB '''vB'''
|-
!8ves
|'''24'''-25 (26)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |'''vC''' C (^C)
|}plain ring: Da Sa Ra/Na La/Tha Fa Da
 
up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu
 
downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
 
upmid ring: Pi/Si Ri Li Mi Ti Pi/Si
 
down ring: Po/So Ro Lo Mo To/Do Po/So
 
{| class="wikitable center-all"
|+'''circles of fifths'''
!
! colspan="6" |plain circle
|-
! rowspan="3" |plain
 
circle
!0
!15
!5
!20
!10
!25
|-
|Da
|Sa
|Ra
|La
|
|
|
|
|-
|
|
|
|
|Na
|Tha
|Fa
|Da
|-
| colspan="7" |
|-
! rowspan="3" |up
circle
!1
!16
!6
!21
!11
!1
|-
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|Du
|
|
|
|
|
|
|Shu
|Fru
|-
| colspan="7" |
|-
! rowspan="3" |downmid
circle
!2
!17
!7
!22
!12
!2
|-
|Fri
|Fli
|Ni
|Thi
|Fi
|
|
|-
|
|
|
|
|
|Sho
|
|Fro
|Shi
|}
|Fri
{| class="wikitable center-all"
|-
|+
| colspan="7" |
Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
|-
![[24edo]]
! rowspan="3" |upmid
!0
circle
!1
!2
!3
!3
!18
!4
!5
!6
!7
!8
!8
!23
!9
!10
!11
!12
!13
!13
!3
!14
|-
!15
|Ri
!16
|Li
!17
|Mi
!18
|Ti
|Pi
|
|-
|
|
|
|
|Si
|Ri
|-
| colspan="7" |
|-
! rowspan="3" |down
circle
!4
!19
!19
!9
!20
!21
!22
!23
!24
!24
!14
!4
|-
|-
|Ro
!notes
|Lo
|C
|Mo
|^C
|To
 
|Po
vDb
|
|Db
|-
|vD
|
|D
|
|^D
|
 
|
vEb
|So
|Eb
|Ro
|vE
|}
|E
==26edo==
|^E
{| class="wikitable center-all"
 
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
vF
![[26edo]]
|F
!edosteps
|^F
! colspan="2" |solfege
 
! colspan="4" |[[Ups and downs notation|ups and downs]] names
vGb
|F#
 
Gb
|^F#
 
vG
|G
|^G
 
vAb
|Ab
|vA
|A
|^A
 
vBb
|Bb
|vB
|B
|^B
 
vC
|C
|-
|-
!unisons
!intervals
|0-1
|P1
| colspan="2" |Da Du
|^1
| colspan="2" |P1 A1
 
| colspan="2" |C C#
vm2
|-
|m2
!2nds
|~2
|2-5
|M2
|Fro Fra
|^M2
|Ra Ru
 
|d2 m2
vm3
|M2 A2
|m3
|Dbb Db
|~3
|D D#
|M3
|-
|^M3
!3rds
 
|6-9
v4
|No Na
|P4
|Ma Mu
|^4
|d3 m3
 
|M3 A3
vd5
|Ebb Eb
|A4
|E E#
 
d5
|^A4
 
v5
|P5
|^5
 
vm6
|m6
|~6
|M6
|^M6
 
vm7
|m7
|~7
|M7
|^M7
 
v8
|P8
|-
|-
!4ths
!solfege
|10-12
|Do
| colspan="2" |Fo Fa Fu/Pa
|Da
| colspan="2" |d4 P4 A4
 
| colspan="2" |Fb F F#
Ru
|-
|Ro
!tritone
|Ra
|13
|Re
| colspan="2" |Pu/Sho
|Ri
| colspan="2" |AA4/dd5
 
| colspan="2" |Fx/Gbb
Mu
|-
|Mo
!5ths
|Ma
|14-16
|Me
| colspan="2" |Sha/So Sa Su
|Mi
| colspan="2" |d5 P5 A5
 
| colspan="2" |Gb G G#
Fu
|-
|Fo
!6ths
|Fa
|17-20
 
|Flo Fla
Su
|La Lu
|Fe
|d6 m6
 
|M6 A6
So
|Abb Ab
|Fi
|A A#
 
|-
Sa
!7ths
|Se
|21-24
|Si
|Tho Tha
 
|Ta Tu
Lu
|d7 m7
|Lo
|M7 A7
|La
|Bbb Bb
|Le
|B B#
|Li
|-
 
!8ves
Tu
|25-26 (27)
|To
| colspan="2" |Do Da (Du)
|Ta
| colspan="2" |d8 P8 (A8)
|Te
| colspan="2" |Cb C (C#)
|Ti
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
 
Du
|Do
|}
 
* plain circle: <u>Do Se</u> Re Le Me Te Fe/So Ro Lo Mo To Fo Do
* mid/inbetween circle: Da/Ru Si/Lu Ri/Mu Li/Tu Mi/Fu Ti/Du Fi/Sa Ra La Ma Ta Fa/Su Da/Ru
 
== 25edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
|+
![[26edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
![[25edo]]
!edosteps
!edosteps
!Kite's
! colspan="2" |solfege names
!Phylingual's
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
|Da Du
| colspan="2" |Da Du/Fru
|Do Di
| colspan="2" |P1 ^1/^m2
|P1 A1
| colspan="2" |C ^C/^Db
|C C#
|-
|-
!2nds
!2nds
|2-5
|1-5
|Ro Ri Ra Ru
|Du/Fru Fri
|Rih Ru Re Ri
|Ri Ro Ra/Na
|d2 m2 M2 A2
|^1/^m2 v~2
|Dbb Db D D#
|^~2 vM2 M2/m3
|^C/^Db ^^Db
|vvD vD D/Eb
|-
|-
!3rds
!3rds
|6-9
|5-9
|Mo Mi Ma Mu
|Ra/Na Nu Ni
|Ma Me Muh/Mi Maa
|Mi Mo
|d3 m3 M3 A3
|M2/m3 ^m3 v~3
|Ebb Eb E E#
|^~3 vM3
|D/Eb ^Eb ^^Eb
|vvE vE
|-
|-
!4ths
!4ths
|10-12
|10
|Fo Fa Fu/Pa
| colspan="2" |Fa
|Fe Fa Fu
| colspan="2" |P4
|d4 P4 A4
| colspan="2" |F
|Fb F F#
|-
|-
!tritone
!tritones
|13
|11-14
|Pu/Sho
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
|Fi/Se
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
|AA4/dd5
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|Fx/Gbb
|-
|-
!5ths
!5ths
|14-16
|15
|Sha/So Sa Su
| colspan="2" |Sa
|Su So Si
| colspan="2" |P5
|d5 P5 A5
| colspan="2" |G
|Gb G G#
|-
|-
!6ths
!6ths
|17-20
|16-20
|Lo Li La Lu
|Flu Fli
|Leh Le/Lu La Li
|Li Lo La/Tha
|d6 m6 M6 A6
|^m6 v~6
|Abb Ab A A#
|^~6 vM6 M6/m7
|^Ab ^^Ab
|vvA vA A/Bb
|-
|-
!7ths
!7ths
|21-24
|20-24
|To Ti Ta Tu
|La/Tha Thu Thi
|Ta Te Tu/Ti To
|Ti To/Do
|d7 m7 M7 A7
|M6/m7
|Bbb Bb B B#
|^~7 vM7/v8
|A/Bb ^Bb ^^Bb
|vvB vB/vC
|-
|-
!8ves
!8ves
|25-26 (27)
|24-25 (26)
|Do Da (Du)
| colspan="2" |To/Do Da (Du)
|Da Do (Di)
| colspan="2" |vM7/v8 P8 (^8)
|d8 P8 (A8)
| colspan="2" |vB/vC C (^C)
|Cb C (C#)
|}
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo '''Do''' <u>So Ri</u> Li Mi <u>Ti Fa</u> '''Da'''
 
== 27edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[27edo]]
Uniform solfege (-a = plain, -u = up, -o = down, -i = mid) (duplicate names are '''bolded)'''
![[25edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,317: Line 5,440:
|-
|-
!unisons
!unisons
|0-1
|0-'''1'''
| colspan="2" |Da Du/Fra
| colspan="2" |Da '''Du'''
| colspan="2" |P1 ^1/m2
| colspan="2" |P1 '''^1'''
| colspan="2" |C ^C/Db
| colspan="2" |C '''^C'''
|-
|-
!2nds
!2nds
|1-5
|'''1-5'''
|Du/Fra Fru
|'''Fru''' Fri
|Ri Ro Ra
|Ri Ro '''Ra'''
|^1/m2 ^m2
|'''^m2''' v~2
|~2 vM2 M2
|^~2 vM2 '''M2'''
|^C/Db ^Db
|'''^Db''' ^^Db
|vvD vD D
|vvD vD '''D'''
|-
|-
!3rds
!3rds
|6-10
|'''5'''-9
|Na Nu
|'''Na''' Nu Ni
|Mi Mo Ma
|Mi Mo
|m3 ^m3
|'''m3''' ^m3 v~3
|~3 vM3 M3
|^~3 vM3
|Eb ^Eb
|'''Eb''' ^Eb ^^Eb
|vvE vE E
|vvE vE
|-
|-
!4ths
!4ths
|11
|10
| colspan="2" |Fa
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |P4
Line 5,347: Line 5,470:
|-
|-
!tritones
!tritones
|12-15
|11-14
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
|-
!5ths
!5ths
|16
|15
| colspan="2" |Sa
| colspan="2" |Sa
| colspan="2" |P5
| colspan="2" |P5
Line 5,359: Line 5,482:
|-
|-
!6ths
!6ths
|17-21
|16-'''20'''
|Fla Flu
|Flu Fli
|Li Lo La
|Li Lo '''La'''
|m6 ^m6
|^m6 v~6
|~6 vM6 M6
|^~6 vM6 '''M6'''
|Ab ^Ab
|^Ab ^^Ab
|vvA vA A
|vvA vA '''A'''
|-
|-
!7ths
!7ths
|22-26
|'''20-24'''
|Tha Thu
|'''Tha''' Thu Thi
|Ti To Ta/Do
|Ti '''To'''
|m7 ^m7
|'''m7'''
|~7 vM7 M7/v8
|^~7 '''vM7'''
|Bb ^Bb
|'''Bb''' ^Bb ^^Bb
|vvB vB B/vC
|vvB '''vB'''
|-
|-
!8ves
!8ves
|26-27 (28)
|'''24'''-25 (26)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |B/vC C (^C)
| colspan="2" |'''vC''' C (^C)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
|}


Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
* plain ring: Da Sa Ra/Na La/Tha Fa Da
==28edo==
* up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu
* downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
* upmid ring: Pi/Si Ri Li Mi Ti Pi/Si
* down ring: Po/So Ro Lo Mo To/Do Po/So
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
|+
![[28edo]]
'''circles of fifths'''
!edosteps
!
!solfege names
! colspan="6" |plain circle
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
! rowspan="3" |plain
|0-2
 
|Da Du Di/Re
circle
|P1 ^1 ^^1/vv2
!0
|C ^C ^^C/vvD
!15
!5
!20
!10
!25
|-
|-
!2nds
|Da
|2-6
|Sa
|Di/Re Ro Ra Ru Ri/Me
|Ra
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|La
|^^C/vvD vD D ^D ^^D/vvE
|
|
|-
|-
!3rds
|
|6-10
|
|Ri/Me Mo Ma Mu Mi/Fe
|Na
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|Tha
|^^D/vvE vE E ^E ^^E/vvF
|-
!4ths
|10-14
|Mi/Fe Fo Fa Fu Fi/Se
|^^3/vv4 v4 P4 ^4 ^^4/vv5
|^^E/vvF vF F ^F ^^F/vvG
|-
!5ths
|14-18
|Fi/Se So Sa Su Si/Le
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|^^F/vvG vG G ^G ^^G/vvA
|-
!6ths
|18-22
|Si/Le Lo La Lu Li/Te
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|^^G/vvA vA A ^A ^^A/vvB
|-
!7ths
|22-26
|Li/Te To Ta Tu Ti/De
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|^^A/vvB vB B ^B ^^B/vvC
|-
!8ves
|26-28 (29 30)
|Ti/De Do Da (Du Di)
|^^7/vv8 v8 P8 (^8 ^^8)
|^^B/vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+'''circles of fifths'''
|-
! rowspan="2" |plain circle
!0
!16
!4
!20
!8
!24
!12
!28
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Fa
|Da
|Da
|-
|-
| colspan="9" |
| colspan="7" |
|-
|-
! rowspan="2" |up circle
! rowspan="3" |up
 
circle
!1
!1
!17
!16
!5
!6
!21
!21
!9
!11
!25
!13
!1
!1
|-
|-
|Du
|Fru
|Su
|Flu
|Ru
|Nu
|Lu
|Thu
|Mu
|Tu
|Fu
|Fu
|Du
|Du
|-
|-
| colspan="9" |
|Du
|
|
|
|Shu
|Fru
|-
|-
! rowspan="2" |down circle
| colspan="7" |
!27
!15
!3
!19
!7
!23
!11
!27
|-
|-
|Do
! rowspan="3" |downmid
|So
 
|Ro
circle
|Lo
|Mo
|To
|Fo
|Do
|-
| colspan="9" |
|-
! rowspan="3" |in-between circle
!2
!2
!18
!17
!6
!7
!22
!22
!10
!12
!26
!14
!2
!2
|-
|-
|Di
|Fri
|Si
|Fli
|Ri
|Ni
|Li
|Thi
|Mi
|Ti
|Fi
|Fi
|Di
|
|-
|-
|Re
|
|Le
|
|Me
|
|Te
|
|Fe
|Shi
|De
|Fri
|Se
|-
|Re
| colspan="7" |
|-
! rowspan="3" |upmid
 
circle
!3
!18
!8
!23
!13
!3
|-
|Ri
|Li
|Mi
|Ti
|Pi
|
|-
|
|
|
|
|Si
|Ri
|-
| colspan="7" |
|-
! rowspan="3" |down
 
circle
!4
!19
!9
!24
!14
!4
|-
|Ro
|Lo
|Mo
|To
|Po
|
|-
|
|
|
|
|So
|Ro
|}
|}
==29edo==
 
== 26edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
|+
![[29edo]]
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
![[26edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du/Fro
| colspan="2" |Da Du
| colspan="2" |P1 ^1/vm2
| colspan="2" |P1 A1
| colspan="2" |C ^C/vDb
| colspan="2" |C C#
|-
|-
!2nds
!2nds
|1-6
|2-5
|Du/Fro Fra Fru
|Fro Fra
|Ro Ra Ru/No
|Ra Ru
|^1/vm2 m2 ^m2
|d2 m2
|vM2 M2 ^M2/vm3
|M2 A2
|^C/vDb Db ^Db
|Dbb Db
|vD D ^D/vEb
|D D#
|-
|-
!3rds
!3rds
|6-11
|6-9
|Ru/No Na Nu
|No Na
|Mo Ma Mu/Fo
|Ma Mu
|^M2/vm3 m3 ^m3
|d3 m3
|vM3 M3 ^M3/v4
|M3 A3
|^D/vEb Eb ^Eb
|Ebb Eb
|vE E ^E/vF
|E E#
|-
|-
!4ths
!4ths
|11-13
|10-12
| colspan="2" |Mu/Fo Fa Fu
| colspan="2" |Fo Fa Fu/Pa
| colspan="2" |^M3/v4 P4 ^4
| colspan="2" |d4 P4 A4
| colspan="2" |^E/vF F ^F
| colspan="2" |Fb F F#
|-
|-
!tritones
!tritone
|14-15
|13
| colspan="2" |Po/Sha Pa/Shu
| colspan="2" |Pu/Sho
| colspan="2" |vA4/d5 A4/^d5
| colspan="2" |AA4/dd5
| colspan="2" |vF#/Gb F#/^Gb
| colspan="2" |Fx/Gbb
|-
|-
!5ths
!5ths
|16-18
|14-16
| colspan="2" |So Sa Su/Flo
| colspan="2" |Sha/So Sa Su
| colspan="2" |v5 P5 ^5/vm6
| colspan="2" |d5 P5 A5
| colspan="2" |vG G ^G/vAb
| colspan="2" |Gb G G#
|-
|-
!6ths
!6ths
|18-23
|17-20
|Su/Flo Fla Flu
|Flo Fla
|Lo La Lu/Tho
|La Lu
|^5/vm6 m6 ^m6
|d6 m6
|vM6 M6 ^M6/vm7
|M6 A6
|^G/vAb Ab ^Ab
|Abb Ab
|vA A ^A/vBb
|A A#
|-
|-
!7ths
!7ths
|23-28
|21-24
|Lu/Tho Tha Thu
|Tho Tha
|To Ta Tu/Do
|Ta Tu
|^M6/vm7 m7 ^m7
|d7 m7
|vM7 M7 ^M7/v8
|M7 A7
|^A/vBb Bb ^Bb
|Bbb Bb
|vB B ^B/vC
|B B#
|-
|-
!8ves
!8ves
|28-29 (30)
|25-26 (27)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |d8 P8 (A8)
| colspan="2" |^B/vC C (^C)
| colspan="2" |Cb C (C#)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Phylingual's solfege
|+
![[29edo]]
Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
![[26edo]]
!edosteps
!edosteps
!solfege names
!Kite's
!Phylingual's
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
|Da Du
|Do Di
|Do Di
|P1 ^1
|P1 A1
|C ^C
|C C#
|-
|-
!2nds
!2nds
|2-6
|2-5
|Rih Ra Ru Re Raw
|Ro Ri Ra Ru
|m2 ^m2 vM2 M2 ^M2
|Rih Ru Re Ri
|Db ^Db vD D ^D
|d2 m2 M2 A2
|Dbb Db D D#
|-
|-
!3rds
!3rds
|7-11
|6-9
|Meh Me Mi Maa Maw
|Mo Mi Ma Mu
|m3 ^m3 vM3 M3 ^M3
|Ma Me Muh/Mi Maa
|Eb ^Eb vE E ^E
|d3 m3 M3 A3
|Ebb Eb E E#
|-
|-
!4ths
!4ths
|12-14
|10-12
|Fa Fu Fi
|Fo Fa Fu/Pa
|P4 ^4 ^^4
|Fe Fa Fu
|F ^F ^^F
|d4 P4 A4
|Fb F F#
|-
!tritone
|13
|Pu/Sho
|Fi/Se
|AA4/dd5
|Fx/Gbb
|-
|-
!5ths
!5ths
|15-18
|14-16
|Se Su So Saw
|Sha/So Sa Su
|vv5 v5 P5 ^5
|Su So Si
|vvG vG G ^G
|d5 P5 A5
|Gb G G#
|-
|-
!6ths
!6ths
|19-23
|17-20
|Leh Le La Laa Law
|Lo Li La Lu
|m6 ^m6 vM6 M6 ^M6
|Leh Le/Lu La Li
|Ab ^Ab vA A ^A
|d6 m6 M6 A6
|Abb Ab A A#
|-
|-
!7ths
!7ths
|24-27
|21-24
|Teh Te Ti Taa
|To Ti Ta Tu
|m7 ^m7 vM7 M7
|Ta Te Tu/Ti To
|Bb ^Bb vB B
|d7 m7 M7 A7
|Bbb Bb B B#
|-
|-
!8ves
!8ves
|28-29 (30)
|25-26 (27)
|Do Da (Du)
|Da Do (Di)
|Da Do (Di)
|v8 P8 (^8)
|d8 P8 (A8)
|vC C (^C)
|Cb C (C#)
|}
|}
==31edo==
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo '''Do''' So Ri Li Mi Ti Fa '''Da'''
 
== 27edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+
![[31edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[27edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,673: Line 5,807:
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1
| colspan="2" |P1 ^1/m2
| colspan="2" |C ^C
| colspan="2" |C ^C/Db
|-
|-
!2nds
!2nds
|2-6
|1-5
|Fro Fra
|Du/Fra Fru
|Ro Ra Ru
|Ri Ro Ra
|vm2 m2
|^1/m2 ^m2
|~2 M2 ^M2
|~2 vM2 M2
|vDb Db
|^C/Db ^Db
|vD D ^D
|vvD vD D
|-
|-
!3rds
!3rds
|7-11
|6-10
|No Na
|Na Nu
|Mo Ma Mu
|Mi Mo Ma
|vm3 m3
|m3 ^m3
|~3 M3 ^M3
|~3 vM3 M3
|vEb Eb
|Eb ^Eb
|vE E ^E
|vvE vE E
|-
|-
!4ths
!4ths
|12-14
|11
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |Fa
| colspan="2" |v4 P4 ^4
| colspan="2" |P4
| colspan="2" |vF F ^F/vF#
| colspan="2" |F
|-
|-
!tritones
!tritones
|15-16
|12-15
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
| colspan="2" |F#/vGb ^F#/Gb
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
|-
|-
!5ths
!5ths
|17-19
|16
| colspan="2" |So Sa Su
| colspan="2" |Sa
| colspan="2" |v5 P5 ^5
| colspan="2" |P5
| colspan="2" |vG G ^G
| colspan="2" |G
|-
|-
!6ths
!6ths
|20-24
|17-21
|Flo Fla
|Fla Flu
|Lo La Lu
|Li Lo La
|vm6 m6
|m6 ^m6
|~6 M6 ^M6
|~6 vM6 M6
|vAb Ab
|Ab ^Ab
|vA A ^A
|vvA vA A
|-
|-
!7ths
!7ths
|25-29
|22-26
|Tho Tha
|Tha Thu
|To Ta Tu
|Ti To Ta/Do
|vm7 m7
|m7 ^m7
|~7 M7 ^M7
|~7 vM7 M7/v8
|vBb Bb
|Bb ^Bb
|vB B ^B
|vvB vB B/vC
|-
|-
!8ves
!8ves
|30-31 (32)
|26-27 (28)
| colspan="2" |Do Da (Du)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |B/vC C (^C)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
 
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
 
== 28edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
|+
![[31edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
![[28edo]]
!edosteps
!solfege names
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!edosteps
|-
|-
!unisons
!unisons
|Do Da
|0-2
|P1 ^1
|Da Du Di/Re
|C ^C
|P1 ^1 ^^1/vv2
|0-1
|C ^C ^^C/vvD
|-
|-
!2nds
!2nds
|Ru Ro Ra Re Ri
|vm2 m2 ~2 M2 ^M2
|vDb Db vD D ^D
|2-6
|2-6
|Di/Re Ro Ra Ru Ri/Me
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|^^C/vvD vD D ^D ^^D/vvE
|-
|-
!3rds
!3rds
|Mu Mo Ma Me Mi
|6-10
|vm3 m3 ~3 M3 ^M3
|Ri/Me Mo Ma Mu Mi/Fe
|vEb Eb vE E ^E
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|7-11
|^^D/vvE vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|Fu Fo Fa
|10-14
|v4 P4 ^4
|Mi/Fe Fo Fa Fu Fi/Se
|vF F ^F
|^^3/vv4 v4 P4 ^4 ^^4/vv5
|12-14
|^^E/vvF vF F ^F ^^F/vvG
|-
!tritones
|Fe/Su Fi/So
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
!5ths
|Sa Se Si
|14-18
|v5 P5 ^5
|Fi/Se So Sa Su Si/Le
|vG G ^G
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|17-19
|^^F/vvG vG G ^G ^^G/vvA
|-
|-
!6ths
!6ths
|Lu Lo La Le Li
|18-22
|vm6 m6 ~6 M6 ^M6
|Si/Le Lo La Lu Li/Te
|vAb Ab vA A ^A
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|20-24
|^^G/vvA vA A ^A ^^A/vvB
|-
|-
!7ths
!7ths
|Tu To Ta Te Ti
|22-26
|vm7 m7 ~7 M7 ^M7
|Li/Te To Ta Tu Ti/De
|vBb Bb vB B ^B
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|25-29
|^^A/vvB vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|Du Do (Da)
|26-28 (29 30)
|v8 P8 (^8)
|Ti/De Do Da (Du Di)
|vC C (^C)
|^^7/vv8 v8 P8 (^8 ^^8)
|30-31 (32)
|^^B/vvC vC C (^C ^^C)
|}As a circle of 5ths:
|}
 
<u>'''Do''' Se</u> Re Le Me Te Fe/Su Ru Lu Mu Tu Fu <u>'''Du''' Sa</u> Ra La Ma Ta Fa <u>'''Da''' Si</u> Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
|+
![[31edo]]
'''circles of fifths'''
!solfege names
! rowspan="2" |plain circle
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!0
!edosteps
!16
!4
!20
!8
!24
!12
!28
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|-
|-
!unisons
| colspan="9" |
|Da Du
|P1 ^1
|C ^C
|0-1
|-
|-
!2nds
! rowspan="2" |up circle
|Ro Ri Re Ra Ru
!1
|vm2 m2 ~2 M2 ^M2
!17
|vDb Db vD D ^D
!5
|2-6
!21
!9
!25
!13
!1
|-
|-
!3rds
|Du
|Mo Mi Me Ma Mu
|Su
|vm3 m3 ~3 M3 ^M3
|Ru
|vEb Eb vE E ^E
|Lu
|7-11
|Mu
|Tu
|Fu
|Du
|-
|-
!4ths
| colspan="9" |
|Fo Fi Fe
|v4 P4 ^4
|vF F ^F
|12-14
|-
|-
!tritones
! rowspan="2" |down circle
|Fa/So Fu/Si
!27
|A4/vd5 ^A4/d5
!15
|F#/vGb ^F#/Gb
!3
|15-16
!19
!7
!23
!11
!27
|-
|-
!5ths
|Do
|Se Sa Su
|So
|v5 P5 ^5
|Ro
|vG G ^G
|Lo
|17-19
|Mo
|To
|Fo
|Do
|-
|-
!6ths
| colspan="9" |
|Lo Li Le La Lu
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|20-24
|-
|-
!7ths
! rowspan="3" |in-between circle
|To Ti Te Ta Tu
!2
|vm7 m7 ~7 M7 ^M7
!18
|vBb Bb vB B ^B
!6
|25-29
!22
!10
!26
!14
!2
|-
|-
!8ves
|Di
|De Da (Du)
|Si
|v8 P8 (^8)
|Ri
|vC C (^C)
|Li
|30-31 (32)
|Mi
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To <u>Fo '''De'''</u> Se Re Le Me Te <u>Fe '''Du'''</u> Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti <u>Fi '''Da'''</u>
|Ti
{| class="wikitable center-all"
|Fi
|+Andrew's solfege
|Di
![[31edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
|Re
|0-1
|Le
|Do Di
|Me
|P1 ^1
|Te
|C ^C
|Fe
|-
|De
!2nds
|Se
|2-6
|Re
|Ro Ra Ru Re Ri
|vm2 m2 ~2 M2 ^M2
|vDb Db vD D ^D
|-
!3rds
|7-11
|Ma Me Mu Mi Mo
|vm3 m3 ~3 M3 ^M3
|vEb Eb vE E ^E
|-
!4ths
|12-15
|Fe Fa Fu Fi
|v4 P4 ^4 A4
|vF F ^F F#
|-
!5ths
|16-19
|Se Su So (or Sol) Si
|d5 v5 P5 ^5
|Gb vG G ^G
|-
!6ths
|20-24
|Lo Le Lu La Li
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|-
!7ths
|25-29
|Ta Te Tu Ti To
|vm7 m7 ~7 M7 ^M7
|vBb Bb vB B ^B
|-
!8ves
|30-31 (32)
|Da Do (Di)
|v8 P8 (^8)
|vC C (^C)
|}
|}


== 32edo ==
== 29edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[32edo]]
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,927: Line 6,038:
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du/Fra
| colspan="2" |Da Du/Fro
| colspan="2" |P1 ^1/m2
| colspan="2" |P1 ^1/vm2
| colspan="2" |C ^C/Db
| colspan="2" |C ^C/vDb
|-
|-
!2nds
!2nds
|1-6
|1-6
|Du/Fra Fru Fri
|Du/Fro Fra Fru
|Ri Ro Ra
|Ro Ra Ru/No
|^1/m2 ^m2 v~2
|^1/vm2 m2 ^m2
|^~2 vM2 M2
|vM2 M2 ^M2/vm3
|^C/Db ^Db ^^Db
|^C/vDb Db ^Db
|vvD vD D
|vD D ^D/vEb
|-
|-
!3rds
!3rds
|7-12
|6-11
|Na Nu Ni
|Ru/No Na Nu
|Mi Mo Ma
|Mo Ma Mu/Fo
|m3 ^m3 v~2
|^M2/vm3 m3 ^m3
|^~3 vM3 M3
|vM3 M3 ^M3/v4
|Eb ^Eb ^^Eb
|^D/vEb Eb ^Eb
|vvE vE E
|vE E ^E/vF
|-
|-
!4ths
!4ths
|13
|11-13
| colspan="2" |Fa
| colspan="2" |Mu/Fo Fa Fu
| colspan="2" |P4
| colspan="2" |^M3/v4 P4 ^4
| colspan="2" |F
| colspan="2" |^E/vF F ^F
|-
|-
!tritones
!tritones
|14-18
|14-15
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
| colspan="2" |Po/Sha Pa/Shu
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
| colspan="2" |vA4/d5 A4/^d5
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
| colspan="2" |vF#/Gb F#/^Gb
|-
|-
!5ths
!5ths
|19
|16-18
| colspan="2" |Sa
| colspan="2" |So Sa Su/Flo
| colspan="2" |P5
| colspan="2" |v5 P5 ^5/vm6
| colspan="2" |G
| colspan="2" |vG G ^G/vAb
|-
|-
!6ths
!6ths
|20-25
|18-23
|Fla Flu Fli
|Su/Flo Fla Flu
|Li Lo La
|Lo La Lu/Tho
|m6 ^m6 v~6
|^5/vm6 m6 ^m6
|^~6 vM6 M6
|vM6 M6 ^M6/vm7
|Ab ^Ab ^^Ab
|^G/vAb Ab ^Ab
|vvA vA A
|vA A ^A/vBb
|-
|-
!7ths
!7ths
|26-31
|23-28
|Tha Thu Thi
|Lu/Tho Tha Thu
|Ti To Ta/Do
|To Ta Tu/Do
|m7 ^m7 v~7
|^M6/vm7 m7 ^m7
|^~7 vM7 M7/v8
|vM7 M7 ^M7/v8
|Bb ^Bb ^^Bb
|^A/vBb Bb ^Bb
|vvB vB B/vC
|vB B ^B/vC
|-
|-
!8ves
!8ves
|31-32 (33)
|28-29 (30)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |B/vC C (^C)
| colspan="2" |^B/vC C (^C)
|}'''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Pi/ShiFri Fli Ni Thi Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
|}
 
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
==33edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
|+
![[33edo]]
Phylingual's solfege
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege
!solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-1
| colspan="2" |Da Du Di/Fre
|Do Di
| colspan="2" |P1 A1 AA1/dd2
|P1 ^1
| colspan="2" |C C# Cx
|C ^C
|-
|-
!2nds
!2nds
|2-7
|2-6
|Di/Fre Fro Fra
|Rih Ra Ru Re Raw
|Ra Ru Ri/Ne
|m2 ^m2 vM2 M2 ^M2
|AA1/dd2 d2 m2
|Db ^Db vD D ^D
|M2 A2 AA2/dd3
|Dbbb Dbb Db
|D D# Dx/Ebbb
|-
|-
!3rds
!3rds
|7-12
|7-11
|Ri/Ne No Na
|Meh Me Mi Maa Maw
|Ma Mu Mi/Fe
|m3 ^m3 vM3 M3 ^M3
|AA2/dd3 d3 m3
|Eb ^Eb vE E ^E
|M3 A3 AA3/dd4
|Dx/Ebbb Ebb Eb
|E E# Ex/Fbb
|-
|-
!4ths
!4ths
|12-15
|12-14
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
|Fa Fu Fi
| colspan="2" |AA3/dd4 d4 P4 A4
|P4 ^4 ^^4
| colspan="2" |Ex/Fbb Fb F F#
|F ^F ^^F
|-
!tritone
|16-17
| colspan="2" |Fi/Pu/She Pi/Sho/Se
| colspan="2" |AA4/ddd5 AAA4/dd5
| colspan="2" |Fx/Gbbb Fx#/Gbb
|-
|-
!5ths
!5ths
|18-21
|15-18
| colspan="2" |Sha/So Sa Su Si/Fle
|Se Su So Saw
| colspan="2" |d5 P5 A5 AA5/dd6
|vv5 v5 P5 ^5
| colspan="2" |Gb G G# Gx/Abbb
|vvG vG G ^G
|-
|-
!6ths
!6ths
|21-26
|19-23
|Si/Fle Flo Fla
|Leh Le La Laa Law
|La Lu Li/The
|m6 ^m6 vM6 M6 ^M6
|AA5/dd6 d6 m6
|Ab ^Ab vA A ^A
|M6 A6 AA6/dd7
|Gx/Abbb Abb Ab
|A A# Ax/Bbbb
|-
|-
!7ths
!7ths
|26-31
|24-27
|Li/The Tho Tha
|Teh Te Ti Taa
|Ta Tu Ti/De
|m7 ^m7 vM7 M7
|AA6/dd7 d7 m7
|Bb ^Bb vB B
|M7 A7 AA7/dd8
|Ax/Bbbb Bbb Bb
|B B# Bx/Cbb
|-
|-
!8ves
!8ves
|31-33 (34-35)
|28-29 (30)
| colspan="2" |Ti/De Do Da (Du Di)
|Da Do (Di)
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
|v8 P8 (^8)
| colspan="2" |Bx/Cbb Cb C (C# Cx)
|vC C (^C)
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
|}
==34edo==
 
== 31edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded
|+
![[34edo]]
uniform solfege (-a = plain, -u = up, -o = down)
![[31edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 6,076: Line 6,170:
|-
|-
!unisons
!unisons
|0-'''1'''
|0-1
| colspan="2" |Da '''Du=Fro'''
| colspan="2" |Da Du
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |P1 ^1
| colspan="2" |C '''^C=vDb'''
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|'''1-7'''
|2-6
|'''Fro''' Fra Fru
|Fro Fra
|Ri Ro Ra '''Ru=No'''
|Ro Ra Ru
|'''vm2''' m2 ^m2
|vm2 m2
|~2 vM2 M2 '''^M2=vm3'''
|~2 M2 ^M2
|'''vDb''' Db ^Db
|vDb Db
|vvD vD D '''^D=vEb'''
|vD D ^D
|-
|-
!3rds
!3rds
|'''7-13'''
|7-11
|'''No''' Na Nu
|No Na
|Mi Mo Ma '''Mu=Fo'''
|Mo Ma Mu
|'''vm3''' m3 ^m3
|vm3 m3
|~3 vM3 M3 '''^M3=v4'''
|~3 M3 ^M3
|'''vEb''' Eb ^Eb
|vEb Eb
|vvE vE E '''^E=vF'''
|vE E ^E
|-
|-
!4ths
!4ths
|'''13'''-15
|12-14
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |v4 P4 ^4
| colspan="2" |'''vF''' F ^F
| colspan="2" |vF F ^F/vF#
|-
|-
!tritones
!tritones
|16-18
|15-16
| colspan="2" |Fi/Sha Po/Shu Pa/Si
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |~4/d5 vA4/^d5 A4/~5
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
| colspan="2" |F#/vGb ^F#/Gb
|-
|-
!5ths
!5ths
|19-'''21'''
|17-19
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |v5 P5 ^5
| colspan="2" |vG G '''^G=vAb'''
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|'''21-27'''
|20-24
|'''Flo''' Fla Flu
|Flo Fla
|Li Lo La '''Lu=Tho'''
|Lo La Lu
|'''vm6''' m6 ^m6
|vm6 m6
|~6 vM6 M6 '''^M6=vm7'''
|~6 M6 ^M6
|'''vAb''' Ab ^Ab
|vAb Ab
|vvA vA A '''^A=vBb'''
|vA A ^A
|-
|-
!7ths
!7ths
|'''27-33'''
|25-29
|'''Tho''' Tha Thu
|Tho Tha
|Ti To Ta '''Tu=Do'''
|To Ta Tu
|'''vm7''' m7 ^m7
|vm7 m7
|~7 vM7 M7 '''^M7=v8'''
|~7 M7 ^M7
|'''vBb''' Bb ^Bb
|vBb Bb
|vvB vB B '''^B=vC'''
|vB B ^B
|-
|-
!8ves
!8ves
|'''33'''-34 (35)
|30-31 (32)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |'''vC''' C (^C)
| colspan="2" |vC C (^C)
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+circles of fifths
|+
! rowspan="5" |plain/mid
Kite's bright-to-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
circle
![[31edo]]
!
!solfege names
!0
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!20
!edosteps
!6
!26
!12
!32
!18
!4
!24
!10
!30
!16
!2
!22
!8
!28
!14
!34
|-
|-
!-a
!unisons
|Da
|Do Da
|Sa
|P1 ^1
|Ra
|C ^C
|La
|0-1
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-i
!2nds
|
|Ru Ro Ra Re Ri
|
|vm2 m2 ~2 M2 ^M2
|
|vDb Db vD D ^D
|
|2-6
|
|
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|
|
|
|
|
|
|-
|-
!-a
!3rds
|
|Mu Mo Ma Me Mi
|
|vm3 m3 ~3 M3 ^M3
|
|vEb Eb vE E ^E
|
|7-11
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!
!4ths
! colspan="2" |perfect
|Fu Fo Fa
! colspan="4" |major
|v4 P4 ^4
! colspan="6" |mid
|vF F ^F
! colspan="4" |minor
|12-14
! colspan="2" |perfect
|-
|-
| colspan="20" |
!tritones
|Fe/Su Fi/So
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
! rowspan="6" |up/down
!5ths
circle
|Sa Se Si
!
|v5 P5 ^5
!17
|vG G ^G
!3
|17-19
!23
!9
!29
!15
!1
!21
!7
!27
!13
!33
!19
!5
!25
!11
!31
!17
|-
|-
!-o
!6ths
|Po
|Lu Lo La Le Li
|
|vm6 m6 ~6 M6 ^M6
|
|vAb Ab vA A ^A
|
|20-24
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-u
!7ths
|Shu
|Tu To Ta Te Ti
|Fru
|vm7 m7 ~7 M7 ^M7
|Flu
|vBb Bb vB B ^B
|Nu
|25-29
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
|-
!-o
!8ves
|
|Du Do (Da)
|
|v8 P8 (^8)
|
|vC C (^C)
|
|30-31 (32)
|
|}
|
As a circle of 5ths:
|Fro
 
|Flo
'''Do''' Se Re Le Me Te Fe/Su Ru Lu Mu Tu Fu '''Du''' Sa Ra La Ma Ta Fa '''Da''' Si Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do'''
|No
{| class="wikitable center-all"
|Tho
|+
|Fo
Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
|Do
![[31edo]]
|So
!solfege names
|Ro
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|Lo
!edosteps
|Mo
|To
|Po
|-
!-u
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Shu
|-
!
|
! colspan="4" |upminor
|
! colspan="6" |in-between
|
! colspan="4" |downmajor
|
|}
==35edo==
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[35edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|Da Du
|Da Du Di
|P1 ^1
|P1 ^1 ^^1
|C ^C
|C ^C ^^C
|0-1
|-
|-
!2nds
!2nds
|3-7
|Ro Ri Re Ra Ru
|Re Ro Ra Ru Ri
|vm2 m2 ~2 M2 ^M2
|vv2 v2 P2 ^2 ^^2
|vDb Db vD D ^D
|vvD vD D ^D ^^D
|2-6
|-
|-
!3rds
!3rds
|8-12
|Mo Mi Me Ma Mu
|Me Mo Ma Mu Mi
|vm3 m3 ~3 M3 ^M3
|vv3 v3 P3 ^3 ^^3
|vEb Eb vE E ^E
|vvE vE E ^E ^^E
|7-11
|-
|-
!4ths
!4ths
|13-17
|Fo Fi Fe
|Fe Fo Fa Fu Fi
|v4 P4 ^4
|vv4 v4 P4 ^4 ^^4
|vF F ^F
|vvF vF F ^F ^^F
|12-14
|-
!tritones
|Fa/So Fu/Si
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
!5ths
|18-22
|Se Sa Su
|Se So Sa Su Si
|v5 P5 ^5
|vv5 v5 P5 ^5 ^^5
|vG G ^G
|vvG vG G ^G ^^G
|17-19
|-
|-
!6ths
!6ths
|23-27
|Lo Li Le La Lu
|Le Lo La Lu Li
|vm6 m6 ~6 M6 ^M6
|vv6 v6 P6 ^6 ^^6
|vAb Ab vA A ^A
|vvA vA A ^A ^^A
|20-24
|-
|-
!7ths
!7ths
|28-32
|To Ti Te Ta Tu
|Te To Ta Tu Ti
|vm7 m7 ~7 M7 ^M7
|vv7 v7 P7 ^7 ^^7
|vBb Bb vB B ^B
|vvB vB B ^B ^^B
|25-29
|-
|-
!8ves
!8ves
|33-35 (36 37)
|De Da (Du)
|De Do Da (Du Di)
|v8 P8 (^8)
|vv8 v8 P8 (^8 ^^8)
|vC C (^C)
|vvC vC C (^C ^^C)
|30-31 (32)
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To Fo '''De''' Se Re Le Me Te Fe '''Du''' Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti Fi '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
Andrew's solfege
![[31edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
! rowspan="2" |plain circle
!unisons
!0
|0-1
!20
|Do Di
!5
|P1 ^1
!25
|C ^C
!10
!30
!15
!35
|-
|-
|Da
!2nds
|Sa
|2-6
|Ra
|Ro Ra Ru Re Ri
|La
|vm2 m2 ~2 M2 ^M2
|Ma
|vDb Db vD D ^D
|Ta
|Fa
|Da
|-
|-
| colspan="9" |
!3rds
|7-11
|Ma Me Mu Mi Mo
|vm3 m3 ~3 M3 ^M3
|vEb Eb vE E ^E
|-
|-
! rowspan="2" |up circle
!4ths
!1
|12-15
!21
|Fe Fa Fu Fi
!6
|v4 P4 ^4 A4
!26
|vF F ^F F#
!11
!31
!16
!1
|-
|-
|Du
!5ths
|Su
|16-19
|Ru
|Se Su So (or Sol) Si
|Lu
|d5 v5 P5 ^5
|Mu
|Gb vG G ^G
|Tu
|Fu
|Du
|-
|-
| colspan="9" |
!6ths
|20-24
|Lo Le Lu La Li
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|-
|-
! rowspan="2" |dup circle
!7ths
!2
|25-29
!22
|Ta Te Tu Ti To
!7
|vm7 m7 ~7 M7 ^M7
!27
|vBb Bb vB B ^B
!12
!32
!17
!2
|-
|-
|Di
!8ves
|Si
|30-31 (32)
|Ri
|Da Do (Di)
|Li
|v8 P8 (^8)
|Mi
|vC C (^C)
|Ti
|}
|Fi
 
|Di
== 32edo ==
|-
| colspan="9" |
|-
! rowspan="2" |down circle
!34
!19
!4
!24
!9
!29
!14
!34
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Fo
|Do
|-
| colspan="9" |
|-
! rowspan="2" |dud circle
!33
!18
!3
!23
!8
!28
!13
!33
|-
|De
|Se
|Re
|Le
|Me
|Te
|Fe
|De
|}
==36edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
|+
![[36edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
![[32edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 6,517: Line 6,432:
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1
| colspan="2" |P1 ^1/m2
| colspan="2" |C ^C
| colspan="2" |C ^C/Db
|-
|-
!2nds
!2nds
|2-7
|1-6
|Fro Fra Fru
|Du/Fra Fru Fri
|Ro Ra Ru
|Ri Ro Ra
|vm2 m2 ^m2
|^1/m2 ^m2 v~2
|vM2 M2 ^M2
|^~2 vM2 M2
|vDb Db ^Db
|^C/Db ^Db ^^Db
|vD D ^D
|vvD vD D
|-
|-
!3rds
!3rds
|8-13
|7-12
|No Na Nu
|Na Nu Ni
|Mo Ma Mu
|Mi Mo Ma
|vm3 m3 ^m3
|m3 ^m3 v~2
|vM3 M3 ^M3
|^~3 vM3 M3
|vEb Eb ^Eb
|Eb ^Eb ^^Eb
|vE E ^E
|vvE vE E
|-
|-
!4ths
!4ths
|14-16
|13
| colspan="2" |Fo Fa Fu
| colspan="2" |Fa
| colspan="2" |v4 P4 ^4
| colspan="2" |P4
| colspan="2" |vF F ^F
| colspan="2" |F
|-
|-
!tritones
!tritones
|17-19
|14-18
| colspan="2" |Po/Sho Pa/Sha Pu/Shu
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
| colspan="2" |vA4/vd5 A4/d5 ^A4/^d5
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
| colspan="2" |vF#/vGb F#/Gb ^F#/^Gb
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
|-
|-
!5ths
!5ths
|20-22
|19
| colspan="2" |So Sa Su
| colspan="2" |Sa
| colspan="2" |v5 P5 ^5
| colspan="2" |P5
| colspan="2" |vG G ^G
| colspan="2" |G
|-
|-
!6ths
!6ths
|23-28
|20-25
|Flo Fla Flu
|Fla Flu Fli
|Lo La Lu
|Li Lo La
|vm6 m6 ^m6
|m6 ^m6 v~6
|vM6 M6 ^M6
|^~6 vM6 M6
|vAb Ab ^Ab
|Ab ^Ab ^^Ab
|vA A ^A
|vvA vA A
|-
|-
!7ths
!7ths
|29-34
|26-31
|Tho Tha Thu
|Tha Thu Thi
|To Ta Tu
|Ti To Ta/Do
|vm7 m7 ^m7
|m7 ^m7 v~7
|vM7 M7 ^M7
|^~7 vM7 M7/v8
|vBb Bb ^Bb
|Bb ^Bb ^^Bb
|vB B ^B
|vvB vB B/vC
|-
|-
!8ves
!8ves
|35-36 (37)
|31-32 (33)
| colspan="2" |Do Da (Du)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |B/vC C (^C)
|}
|}
'''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
== 33edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
circle
![[33edo]]
!0
!edosteps
!21
! colspan="2" |solfege
!6
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!27
!12
!33
!18
!3
!24
!9
!30
!15
!36
|-
|-
|Da
!unisons
|Sa
|0-2
|Ra
| colspan="2" |Da Du Di/Fre
|La
| colspan="2" |P1 A1 AA1/dd2
|Ma
| colspan="2" |C C# Cx
|Ta
|Pa
|
|
|
|
|
|
|-
|-
|
!2nds
|
|2-7
|
|Di/Fre Fro Fra
|
|Ra Ru Ri/Ne
|
|AA1/dd2 d2 m2
|
|M2 A2 AA2/dd3
|Sha
|Dbbb Dbb Db
|Fra
|D D# Dx/Ebbb
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
| colspan="14" |
!3rds
|7-12
|Ri/Ne No Na
|Ma Mu Mi/Fe
|AA2/dd3 d3 m3
|M3 A3 AA3/dd4
|Dx/Ebbb Ebb Eb
|E E# Ex/Fbb
|-
|-
! rowspan="3" |up
!4ths
circle
|12-15
!1
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
!22
| colspan="2" |AA3/dd4 d4 P4 A4
!7
| colspan="2" |Ex/Fbb Fb F F#
!28
!13
!34
!19
!4
!25
!10
!31
!16
!1
|-
|-
|Du
!tritone
|Su
|16-17
|Ru
| colspan="2" |Fi/Pu/She Pi/Sho/Se
|Lu
| colspan="2" |AA4/ddd5 AAA4/dd5
|Mu
| colspan="2" |Fx/Gbbb Fx#/Gbb
|Tu
|Pu
|
|
|
|
|
|
|-
|-
|
!5ths
|
|18-21
|
| colspan="2" |Sha/So Sa Su Si/Fle
|
| colspan="2" |d5 P5 A5 AA5/dd6
|
| colspan="2" |Gb G G# Gx/Abbb
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
| colspan="14" |
!6ths
|-
|21-26
! rowspan="3" |down
|Si/Fle Flo Fla
circle
|La Lu Li/The
!35
|AA5/dd6 d6 m6
!20
|M6 A6 AA6/dd7
!5
|Gx/Abbb Abb Ab
!26
|A A# Ax/Bbbb
!11
!32
!17
!2
!23
!8
!29
!14
!35
|-
|-
|Do
!7ths
|So
|26-31
|Ro
|Li/The Tho Tha
|Lo
|Ta Tu Ti/De
|Mo
|AA6/dd7 d7 m7
|To
|M7 A7 AA7/dd8
|Po
|Ax/Bbbb Bbb Bb
|
|B B# Bx/Cbb
|
|
|
|
|
|-
|-
|
!8ves
|
|31-33 (34-35)
|
| colspan="2" |Ti/De Do Da (Du Di)
|
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
|
| colspan="2" |Bx/Cbb Cb C (C# Cx)
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''


== 38edo ==
== 34edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), contains 19edo's solfege, but with u --> i and o --> e
|+
![[38edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded
![[34edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 6,729: Line 6,587:
|-
|-
!unisons
!unisons
|0-2
|0-'''1'''
| colspan="2" |Da Du Di/Fre
| colspan="2" |Da '''Du=Fro'''
| colspan="2" |P1 ^1 ^^1/vvm2
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |C ^C ^^C/vvDb
| colspan="2" |C '''^C=vDb'''
|-
|-
!2nds
!2nds
|2-8
|'''1-7'''
|Di/Fre Fro Fra
|'''Fro''' Fra Fru
|Ro Ra Ru Ri/Ne
|Ri Ro Ra '''Ru=No'''
|^^1/vvm2 vm2 m2
|'''vm2''' m2 ^m2
|~2 M2 ^M2 ^^M2/vvm3
|~2 vM2 M2 '''^M2=vm3'''
|^^C/vvDb vDb Db
|'''vDb''' Db ^Db
|vD D ^D ^^D/vvEb
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
!3rds
|8-14
|'''7-13'''
|Ri/Ne No Na
|'''No''' Na Nu
|Mo Ma Mu Mi/Fe
|Mi Mo Ma '''Mu=Fo'''
|^^M2/vvm3 vm3 m3
|'''vm3''' m3 ^m3
|~3 M3 ^M3 ^^M3/vv4
|~3 vM3 M3 '''^M3=v4'''
|^^D/vvEb vEb Eb
|'''vEb''' Eb ^Eb
|vE E ^E ^^E/vvF
|vvE vE E '''^E=vF'''
|-
|-
!4ths
!4ths
|14-17
|'''13'''-15
| colspan="2" |Mi/Fe Fo Fa Fu/Po
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |^^M3/vv4 v4 P4 ~4
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |^^E/vvF vF F ^F
| colspan="2" |'''vF''' F ^F
|-
|-
!tritones
!tritones
|18-20
|16-18
| colspan="2" |Pa/She Pu/Sho Pi/Sha
| colspan="2" |Fi/Sha Po/Shu Pa/Si
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5
| colspan="2" |~4/d5 vA4/^d5 A4/~5
| colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
|-
|-
!5ths
!5ths
|21-24
|19-'''21'''
| colspan="2" |So Sa Su Si/Fle
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |~5 P5 ^5 ^^5/vvm6
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |vG G ^G ^^G/vvAb
| colspan="2" |vG G '''^G=vAb'''
|-
|-
!6ths
!6ths
|24-30
|'''21-27'''
|Si/Fle Flo Fla
|'''Flo''' Fla Flu
|Lo La Lu Li/The
|Li Lo La '''Lu=Tho'''
|^^5/vvm6 vm6 m6
|'''vm6''' m6 ^m6
|~6 M6 ^M6 ^^M6/vvm7
|~6 vM6 M6 '''^M6=vm7'''
|^^G/vvAb vAb Ab
|'''vAb''' Ab ^Ab
|vA A ^A ^^A/vvBb
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|30-36
|'''27-33'''
|Li/The Tho Tha
|'''Tho''' Tha Thu
|To Ta Tu Ti/De
|Ti To Ta '''Tu=Do'''
|^^M6/vvm7 vm7 m7
|'''vm7''' m7 ^m7
|~7 M7 ^M7 ^^M7/vv8
|~7 vM7 M7 '''^M7=v8'''
|^^A/vvBb vBb Bb
|'''vBb''' Bb ^Bb
|vB B ^B ^^B/vvC
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|36-38
|'''33'''-34 (35)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |^^B/vvC vC C (^C ^^C)
| colspan="2" |'''vC''' C (^C)
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+circles of fifths
|+
! rowspan="6" |plain/
circles of fifths
dup/
! rowspan="5" |plain/mid
 
dud


circle
circle
!
!
!0
!0
!22
!20
!6
!6
!28
!26
!12
!12
!34
!32
!18
!18
!4
!24
!10
!30
!16
!2
!2
!24
!22
!8
!8
!30
!28
!14
!14
!36
!34
!20
!4
!26
!10
!32
!16
!38
|-
|-
!-a
!-a
Line 6,832: Line 6,686:
|Ta
|Ta
|Pa
|Pa
|
|
|
|
|
|
Line 6,846: Line 6,698:
|
|
|-
|-
!-e
!-i
|
|
|
|
Line 6,853: Line 6,705:
|
|
|
|
|She
|Si
|Fre
|Ri
|Fle
|Li
|Ne
|Mi
|The
|Ti
|Fe
|Fi
|De
|
|
|
|
|
|
|
|-
!-i
|
|
|
|
|
|
|
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
Line 6,891: Line 6,719:
|-
|-
!-a
!-a
|
|
|
|
|
|
Line 6,915: Line 6,741:
! colspan="2" |perfect
! colspan="2" |perfect
! colspan="4" |major
! colspan="4" |major
! colspan="8" |in-between
! colspan="6" |mid
! colspan="4" |minor
! colspan="4" |minor
! colspan="2" |perfect
! colspan="2" |perfect
|-
|-
| colspan="22" |
| colspan="20" |
|-
|-
! rowspan="5" |up/
! rowspan="6" |up/down
down


circle
circle
!
!
!17
!3
!23
!9
!29
!15
!1
!1
!23
!21
!7
!7
!29
!27
!13
!13
!35
!33
!19
!19
!3
!5
!25
!25
!9
!11
!31
!31
!15
!37
!21
!5
!27
!11
!33
!17
!17
!1
|-
|-
!-u
!-o
|Du
|Po
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
Line 6,968: Line 6,785:
|
|
|
|
|-
|
!-o
|
|
|
|-
!-u
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
!-o
|
|
|
|
Line 6,976: Line 6,817:
|
|
|
|
|Sho
|Fro
|Fro
|Flo
|Flo
Line 6,989: Line 6,829:
|To
|To
|Po
|Po
|
|-
|-
!-u
!-u
Line 7,009: Line 6,848:
|
|
|
|
|
|Shu
|Fu
|Du
|-
|-
!
!
! colspan="2" |upperfect
|
! colspan="4" |upmajor
! colspan="4" |upminor
!
|
! colspan="4" |downminor
! colspan="6" |in-between
! colspan="3" |downperfect
|
! colspan="4" |mid
! colspan="4" |downmajor
! colspan="2" |upperfect
|
|}
|}


== 39edo ==
== 35edo ==
Could use only 4 vowels by replacing -e with -i.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) in-between notes are bolded
|+
![[39edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[35edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
!solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-'''1'''
|0-2
| colspan="2" |Da '''Du=Fro'''
|Da Du Di
| colspan="2" |P1 '''^1=vm2'''
|P1 ^1 ^^1
| colspan="2" |C '''^C=vDb'''
|C ^C ^^C
|-
|-
!2nds
!2nds
|'''1-8'''
|3-7
|'''Fro''' Fra Fru Fri
|Re Ro Ra Ru Ri
|Re Ro Ra '''Ru=No'''
|vv2 v2 P2 ^2 ^^2
|'''vm2''' m2 ^m2 v~2
|vvD vD D ^D ^^D
|^~2 vM2 M2 '''^M2=vm3'''
|'''vDb''' Db ^Db ^^Db
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
!3rds
|'''8-15'''
|8-12
|'''No''' Na Nu Ni
|Me Mo Ma Mu Mi
|Me Mo Ma '''Mu=Fo'''
|vv3 v3 P3 ^3 ^^3
|'''vm3''' m3 ^m3 v~3
|vvE vE E ^E ^^E
|^~3 vM3 M3 '''^M3=v4'''
|'''vEb''' Eb ^Eb ^^Eb
|vvE vE E '''^E=vF'''
|-
|-
!4ths
!4ths
|'''15'''-17
|13-17
| colspan="2" |'''Fo''' Fa Fu
|Fe Fo Fa Fu Fi
| colspan="2" |'''v4''' P4 ^4
|vv4 v4 P4 ^4 ^^4
| colspan="2" |'''vF''' F ^F
|vvF vF F ^F ^^F
|-
!tritones
|18-21
| colspan="2" |Fi/Sha Pe/Shu Po/Shi Pa/Se
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
|-
|-
!5ths
!5ths
|22-'''24'''
|18-22
| colspan="2" |So Sa '''Su=Flo'''
|Se So Sa Su Si
| colspan="2" |v5 P5 '''^5=vm6'''
|vv5 v5 P5 ^5 ^^5
| colspan="2" |vG G ^G='''vAb'''
|vvG vG G ^G ^^G
|-
|-
!6ths
!6ths
|'''24-31'''
|23-27
|'''Flo''' Fla Flu Fli
|Le Lo La Lu Li
|Le Lo La '''Lu=Tho'''
|vv6 v6 P6 ^6 ^^6
|'''vm6''' m6 ^m6 v~6
|vvA vA A ^A ^^A
|^~6 vM6 M6 '''^M6=vm7'''
|'''vAb''' Ab ^Ab ^^Ab
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|'''31-38'''
|28-32
|'''Tho''' Tha Thu Thi
|Te To Ta Tu Ti
|Te To Ta '''Tu=Do'''
|vv7 v7 P7 ^7 ^^7
|'''vm7''' m7 ^m7 v~7
|vvB vB B ^B ^^B
|^~7 vM7 M7 '''^M7=v8'''
|'''vBb''' Bb ^Bb ^^Bb
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|'''38'''-39 (40)
|33-35 (36 37)
| colspan="2" |'''Do''' Da (Du)
|De Do Da (Du Di)
| colspan="2" |'''v8''' P8 (^8)
|vv8 v8 P8 (^8 ^^8)
| colspan="2" |'''vC''' C (^C)
|vvC vC C (^C ^^C)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Se Re Le Me Te Pe/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa '''Da'''
==40edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
|+
![[40edo]]
'''circles of fifths'''
!edosteps
! rowspan="2" |plain circle
! colspan="2" |solfege
!0
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!20
!5
!25
!10
!30
!15
!35
|-
|-
!unisons
|Da
|0-2
|Sa
| colspan="2" |Da Du Di
|Ra
| colspan="2" |P1 A1 AA1
|La
| colspan="2" |C C# Cx
|Ma
|Ta
|Fa
|Da
|-
|-
!2nds
| colspan="9" |
|3-8
|Fre Fro Fra
|Ra Ru Ri
|dd2 d2 m2
|M2 A2 AA2
|Dbbb Dbb Db
|D D# Dx
|-
|-
!3rds
! rowspan="2" |up circle
|9-14
!1
|Ne No Na
!21
|Ma Mu Mi
!6
|dd3 d3 m3
!26
|M3 A3 AA3
!11
|Ebbb Ebb Eb
!31
|E E# Ex
!16
!1
|-
|-
!4ths
|Du
|15-18
|Su
| colspan="2" |Fe Fo Fa Fu/Pa
|Ru
| colspan="2" |dd4 d4 P4 A4
|Lu
| colspan="2" |Fbb Fb F F#
|Mu
|Tu
|Fu
|Du
|-
|-
!tritone
| colspan="9" |
|19-21
| colspan="2" |Fi/Pu Pi/She Sho/Se
| colspan="2" |AA4 AAA4/ddd5 dd5
| colspan="2" |Fx Fx#/Gbbb Gbb
|-
|-
!5ths
! rowspan="2" |dup circle
|22-25
!2
| colspan="2" |Sha/So Sa Su Si
!22
| colspan="2" |d5 P5 A5 AA5
!7
| colspan="2" |Gb G G# Gx
!27
!12
!32
!17
!2
|-
|-
!6ths
|Di
|26-31
|Si
|Fle Flo Fla
|Ri
|La Lu Li
|Li
|dd6 d6 m6
|Mi
|M6 A6 AA6
|Ti
|Abbb Abb Ab
|Fi
|A A# Ax
|Di
|-
|-
!7ths
| colspan="9" |
|32-37
|The Tho Tha
|Ta Tu Ti
|dd7 d7 m7
|M7 A7 AA7
|Bbbb Bbb Bb
|B B# Bx
|-
|-
!8ves
! rowspan="2" |down circle
|38-40 (41-42)
!34
| colspan="2" |De Do Da (Du Di)
!19
| colspan="2" |dd8 d8 P8 (A8 AA8)
!4
| colspan="2" |Cbb Cb C (C# Cx)
!24
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi '''Di''' Si Ri Li Mi Ti Pi/She Fre Fle Ne The Fe '''De''' Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
!9
==41edo==
!29
{| class="wikitable center-all"
!14
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
!34
![[41edo]]
!edosteps
! colspan="2" |Da Ra Mo names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
|Do
|0-1
|So
| colspan="2" |Da Du
|Ro
| colspan="2" |P1 ^1
|Lo
| colspan="2" |C ^C
|Mo
|To
|Fo
|Do
|-
|-
!2nds
| colspan="9" |
|2-8
|-
! rowspan="2" |dud circle
!33
!18
!3
!23
!8
!28
!13
!33
|-
|De
|Se
|Re
|Le
|Me
|Te
|Fe
|De
|}
 
== 36edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
![[36edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du
| colspan="2" |P1 ^1
| colspan="2" |C ^C
|-
!2nds
|2-7
|Fro Fra Fru
|Fro Fra Fru
|Ri Ro Ra Ru
|Ro Ra Ru
|vm2 m2 ^m2
|vm2 m2 ^m2
|~2 vM2 M2 ^M2
|vM2 M2 ^M2
|vDb Db ^Db
|vDb Db ^Db
|vvD vD D ^D
|vD D ^D
|-
|-
!3rds
!3rds
|9-15
|8-13
|No Na Nu
|No Na Nu
|Mi Mo Ma Mu
|Mo Ma Mu
|vm3 m3 ^m3
|vm3 m3 ^m3
|~3 vM3 M3 ^M3
|vM3 M3 ^M3
|vEb Eb ^Eb
|vEb Eb ^Eb
|vvE vE E ^E
|vE E ^E
|-
|-
!4ths
!4ths
|16-18
|14-16
| colspan="2" |Fo Fa Fu
| colspan="2" |Fo Fa Fu
| colspan="2" |v4 P4 ^4
| colspan="2" |v4 P4 ^4
Line 7,213: Line 7,064:
|-
|-
!tritones
!tritones
|19-22
|17-19
| colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" |Po/Sho Pa/Sha Pu/Shu
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" |vA4/vd5 A4/d5 ^A4/^d5
| colspan="2" |^^F/vGb vF#/Gb F#/^Gb ^F#/vvG
| colspan="2" |vF#/vGb F#/Gb ^F#/^Gb
|-
|-
!5ths
!5ths
|23-25
|20-22
| colspan="2" |So Sa Su
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 ^5
| colspan="2" |v5 P5 ^5
Line 7,225: Line 7,076:
|-
|-
!6ths
!6ths
|26-32
|23-28
|Flo Fla Flu
|Flo Fla Flu
|Li Lo La Lu
|Lo La Lu
|vm6 m6 ^m6
|vm6 m6 ^m6
|~6 vM6 M6 ^M6
|vM6 M6 ^M6
|vAb Ab ^Ab
|vAb Ab ^Ab
|vvA vA A ^A
|vA A ^A
|-
|-
!7ths
!7ths
|33-39
|29-34
|Tho Tha Thu
|Tho Tha Thu
|Ti To Ta Tu
|To Ta Tu
|vm7 m7 ^m7
|vm7 m7 ^m7
|~7 vM7 M7 ^M7
|vM7 M7 ^M7
|vBb Bb ^Bb
|vBb Bb ^Bb
|vvB vB B ^B
|vB B ^B
|-
|-
!8ves
!8ves
|40-41 (42)
|35-36 (37)
| colspan="2" |Do Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |vC C (^C)
|}'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
|}
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shu
circle
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si
!0
* <u>mid</u>: Si Ri Li Mi Ti Fi/Sho
!21
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha
!6
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
!27
{| class="wikitable center-all"
!12
|+Andrew's solfege
!33
![[41edo]]
!18
!edosteps
!3
!solfege names
!24
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!9
!30
!15
!36
|-
|-
!unisons
|Da
|0-1
|Sa
|Do Di
|Ra
|P1 ^1
|La
|C ^C
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
!2nds
|
|2-8
|
|Ro Rih Ra Ru Reh Re Ri
|
|vm2 m2 ^m2 ~2 vM2 M2 ^M2
|
|vDb Db ^Db vvD vD D ^D
|
|-
|
!3rds
|Sha
|9-15
|Fra
|Ma Meh Me Mu Mi Maa Mo
|Fla
|vm3 m3 ^m3 ~3 vM3 M3 ^M3
|Na
|vEb Eb ^Eb vvE vE E ^E
|Tha
|Fa
|Da
|-
|-
!4ths
| colspan="14" |
|16-20
|Fe Fa Fih Fu Fi
|v4 P4 ^4 ~4 vA4
|vF F ^F ^^F vF#
|-
|-
!5ths
! rowspan="3" |up
|21-25
 
|Se Su Sih So (or Sol) Si
circle
|^d5 ~5 v5 P5 ^5
!1
|^Gb vvG vG G ^G
!22
!7
!28
!13
!34
!19
!4
!25
!10
!31
!16
!1
|-
|-
!6ths
|Du
|26-32
|Su
|Lo Leh Le Lu La Laa Li
|Ru
|vm6 m6 ^m6 ~6 vM6 M6 ^M6
|Lu
|vAb Ab ^Ab vvA vA A ^A
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!7ths
|
|33-39
|
|Ta Teh Te Tu Ti Taa To
|
|vm7 m7 ^m7 ~7 vM7 M7 ^M7
|
|vBb Bb ^Bb vvB vB B ^B
|
|-
|
!8ves
|Shu
|40-41 (42)
|Fru
|Da Do (Di)
|Flu
|v8 P8 (^8)
|Nu
|vC C (^C)
|Thu
|}
|Fu
 
|Du
== 43edo ==
|-
| colspan="14" |
|-
! rowspan="3" |down
 
circle
!35
!20
!5
!26
!11
!32
!17
!2
!23
!8
!29
!14
!35
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|}
 
== 38edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded
|+
![[43edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), contains 19edo's solfege, but with u --> i and o --> e
![[38edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 7,319: Line 7,252:
|-
|-
!unisons
!unisons
|0-'''2'''
|0-2
| colspan="2" |Da Du '''Di=Fre'''
| colspan="2" |Da Du Di/Fre
| colspan="2" |P1 ^1 ^^1
| colspan="2" |P1 ^1 ^^1/vvm2
| colspan="2" |C ^C ^^C
| colspan="2" |C ^C ^^C/vvDb
|-
|-
!2nds
!2nds
|'''2-9'''
|2-8
|'''Fre''' Fro Fra Fru
|Di/Fre Fro Fra
|Ro Ra Ru '''Ri=Ne'''
|Ro Ra Ru Ri/Ne
|vvm2 vm2 m2 ^m2
|^^1/vvm2 vm2 m2
|vM2 M2 ^M2 ^^M2
|~2 M2 ^M2 ^^M2/vvm3
|vvDb vDb Db ^Db
|^^C/vvDb vDb Db
|vD D ^D ^^D
|vD D ^D ^^D/vvEb
|-
|-
!3rds
!3rds
|'''9-16'''
|8-14
|'''Ne''' No Na Nu
|Ri/Ne No Na
|Mo Ma Mu '''Mi=Fe'''
|Mo Ma Mu Mi/Fe
|vvm3 vm3 m3 ^m3
|^^M2/vvm3 vm3 m3
|vM3 M3 ^M3 ^^M3
|~3 M3 ^M3 ^^M3/vv4
|vvEb vEb Eb ^Eb
|^^D/vvEb vEb Eb
|vE E ^E ^^E
|vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|'''16'''-19
|14-17
| colspan="2" |'''Fe''' Fo Fa Fu
| colspan="2" |Mi/Fe Fo Fa Fu/Po
| colspan="2" |vv4 v4 P4 ^4
| colspan="2" |^^M3/vv4 v4 P4 ~4
| colspan="2" |vvF vF F ^F
| colspan="2" |^^E/vvF vF F ^F
|-
|-
!tritones
!tritones
|20-23
|18-20
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu
| colspan="2" |Pa/She Pu/Sho Pi/Sha
| colspan="2" |vA4/vvd5 A4/vd5 ^A4/d5  ^^A4/^d5
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
| colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb
|-
|-
!5ths
!5ths
|24-'''27'''
|21-24
| colspan="2" |So Sa Su '''Si=Fle'''
| colspan="2" |So Sa Su Si/Fle
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |~5 P5 ^5 ^^5/vvm6
| colspan="2" |vG G ^G ^^G
| colspan="2" |vG G ^G ^^G/vvAb
|-
|-
!6ths
!6ths
|'''27-34'''
|24-30
|'''Fle''' Flo Fla Flu
|Si/Fle Flo Fla
|Lo La Lu '''Li=The'''
|Lo La Lu Li/The
|vvm6 vm6 m6 ^m6
|^^5/vvm6 vm6 m6
|vM6 M6 ^M6 ^^M6
|~6 M6 ^M6 ^^M6/vvm7
|vvAb vAb Ab ^Ab
|^^G/vvAb vAb Ab
|vA A ^A ^^A
|vA A ^A ^^A/vvBb
|-
|-
!7ths
!7ths
|'''34-41'''
|30-36
|'''The''' Tho Tha Thu
|Li/The Tho Tha
|To Ta Tu '''Ti=De'''
|To Ta Tu Ti/De
|vvm7 vm7 m7 ^m7
|^^M6/vvm7 vm7 m7
|vM7 M7 ^M7 ^^M7
|~7 M7 ^M7 ^^M7/vv8
|vvBb vBb Bb ^Bb
|^^A/vvBb vBb Bb
|vB B ^B ^^B
|vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|'''41'''-43
|36-38
| colspan="2" |'''De''' Do Da (Du Di)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
| colspan="2" |^^B/vvC vC C (^C ^^C)
|}'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
|}
{| class="wikitable center-all"
|+
circles of fifths
! rowspan="6" |plain/
 
dup/


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Sho
dud
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
* <u>dup/dud/inbetween</u>: She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''


== 45edo ==
circle
{| class="wikitable center-all"
!
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim)
!0
![[45edo]]
!22
!edosteps
!6
! colspan="2" |solfege names
!28
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!12
!34
!18
!2
!24
!8
!30
!14
!36
!20
!4
!26
!10
!32
!16
!38
|-
|-
!unisons
!-a
|0-2
|Da
| colspan="2" |Da Du Di
|Sa
| colspan="2" |P1 ^1 A1
|Ra
| colspan="2" |C ^C C#
|La
|-
|Ma
!2nds
|Ta
|3-9
|Pa
|Fre Fro Fra
|
|Ro Ra Ru Ri
|
|d2 vm2 m2
|
|~2 M2 ^M2 A2
|
|Dbb vDb Db
|
|vD D ^D D#
|
|
|
|
|
|
|
|
|-
|-
!3rds
!-e
|10-16
|
|Ne No Na
|
|Mo Ma Mu Mi
|
|d3 vm3 m3
|
|~3 M3 ^M3 A3
|
|Ebb vEb Eb
|
|vE E ^E E#
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|
|
|
|
|
|
|
|-
|-
!4ths
!-i
|17-20
|
| colspan="2" |Fe Fo Fa Fu/Po
|
| colspan="2" |d4 v4 P4 ~4
|
| colspan="2" |Fb vF F ^F
|
|-
|
!tritones
|
|21-24
|
| colspan="2" |Fi/Pa Pu/She Pi/Sho Sha/Se
|Di
| colspan="2" |A4 ^A4/dd5 AA4/vd5 d5
|Si
| colspan="2" |F# ^F#/Gbb Fx/vGb Gb
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|-
!5ths
!-a
|25-28
|
| colspan="2" |So Sa Su Si
|
| colspan="2" |~5 P5 ^5 A5
|
| colspan="2" |vG G ^G G#
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!6ths
!
|29-35
! colspan="2" |perfect
|Fle Flo Fla
! colspan="4" |major
|Lo La Lu Li
! colspan="8" |in-between
|d6 vm6 m6
! colspan="4" |minor
|~6 M6 ^M6 A6
! colspan="2" |perfect
|Abb vAb Ab
|vA A ^A A#
|-
|-
!7ths
| colspan="22" |
|36-42
|The Tho Tha
|To Ta Tu Ti
|d7 vm7 m7
|^~7 M7 ^M7 A7
|Bbb vBb Bb
|vB B ^B B#
|-
|-
!8ves
! rowspan="5" |up/
|43-45 (46 47)
 
| colspan="2" |De Do Da (Du Di)
down
| colspan="2" |d8 v8 P8 (^8 A8)
| colspan="2" |Cb vC C (^C C#)
|}
'''Da''' Sa Ra La Ma Ta Pa/Fi '''Di''' Si Ri Li Mi Ti Pi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/She Fre Fle Ne The Fe '''De''' Se/Sha Fra Fla Na Tha Fa '''Da'''


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Fi
circle
* <u>dup/aug</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Sho
!
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu
!1
* <u>up</u>: Fu '''Du''' Su Ru Lu Mu Tu Pu/She
!23
* <u>dud/dim</u>: She Fre Fle Ne The Fe '''De''' Se/Sha
!7
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
!29
 
!13
== 46edo ==
!35
Could use only 4 vowels by replacing -e with -i.
!19
{| class="wikitable center-all"
!3
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid)
!25
![[46edo]]
!9
!edosteps
!31
! colspan="2" |solfege names
!15
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!37
!21
!5
!27
!11
!33
!17
!1
|-
|-
!unisons
!-u
|0-1
|Du
| colspan="2" |Da Du
|Su
| colspan="2" |P1 ^1
|Ru
| colspan="2" |C ^C
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!2nds
!-o
|2-9
|
|Fro Fra Fru Fri
|
|Re Ro Ra Ru
|
|vm2 m2 ^m2 v~2
|
|^~2 vM2 M2 ^M2
|
|vDb Db ^Db ^^Db
|
|vvD vD D ^D
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!3rds
!-u
|10-17
|
|No Na Nu Ni
|
|Me Mo Ma Mu
|
|vm3 m3 ^m3 v~3
|
|^~3 vM3 M3 ^M3
|
|vEb Eb ^Eb ^^Eb
|
|vvE vE E ^E
|
|
|
|
|
|
|
|
|
|
|
|
|Fu
|Du
|-
|-
!4ths
!
|18-20
! colspan="2" |upperfect
| colspan="2" |Fo Fa Fu
! colspan="4" |upmajor
| colspan="2" |v4 P4 ^4
!
| colspan="2" |vF F ^F
! colspan="4" |downminor
! colspan="3" |downperfect
! colspan="4" |mid
! colspan="2" |upperfect
|}
 
== 39edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid) in-between notes are bolded
![[39edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-'''1'''
| colspan="2" |Da '''Du=Fro'''
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |C '''^C=vDb'''
|-
!2nds
|'''1-8'''
|'''Fro''' Fra Fru Fri
|Ri Ro Ra '''Ru=No'''
|'''vm2''' m2 ^m2 v~2
|^~2 vM2 M2 '''^M2=vm3'''
|'''vDb''' Db ^Db ^^Db
|vvD vD D '''^D=vEb'''
|-
!3rds
|'''8-15'''
|'''No''' Na Nu Ni
|Mi Mo Ma '''Mu=Fo'''
|'''vm3''' m3 ^m3 v~3
|^~3 vM3 M3 '''^M3=v4'''
|'''vEb''' Eb ^Eb ^^Eb
|vvE vE E '''^E=vF'''
|-
!4ths
|'''15'''-17
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |'''vF''' F ^F
|-
|-
!tritones
!tritones
|21-25
|18-21
| colspan="2" |Fi/Sho Pe/Sha Po/Shu Pa/Shi Pu/Se
| colspan="2" |Fi/Sha Pi/Shu Po/Shi Pa/Si
| colspan="2" |v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5
| colspan="2" |^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
|-
|-
!5ths
!5ths
|26-28
|22-'''24'''
| colspan="2" |So Sa Su
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |v5 P5 ^5
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |vG G ^G
| colspan="2" |vG G ^G='''vAb'''
|-
|-
!6ths
!6ths
|29-36
|'''24-31'''
|Flo Fla Flu Fli
|'''Flo''' Fla Flu Fli
|Le Lo La Lu
|Li Lo La '''Lu=Tho'''
|vm6 m6 ^m6 v~6
|'''vm6''' m6 ^m6 v~6
|^~6 vM6 M6 ^M6
|^~6 vM6 M6 '''^M6=vm7'''
|vAb Ab ^Ab ^^Ab
|'''vAb''' Ab ^Ab ^^Ab
|vvA vA A ^A
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|37-44
|'''31-38'''
|Tho Tha Thu Thi
|'''Tho''' Tha Thu Thi
|Te To Ta Tu
|Ti To Ta '''Tu=Do'''
|vm7 m7 ^m7 v~7
|'''vm7''' m7 ^m7 v~7
|^~7 vM7 M7 ^M7
|^~7 vM7 M7 '''^M7=v8'''
|vBb Bb ^Bb ^^Bb
|'''vBb''' Bb ^Bb ^^Bb
|vvB vB B ^B
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|45-46 (47)
|'''38'''-39 (40)
| colspan="2" |Do Da (Du)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |'''vC''' C (^C)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Shi Fri Fli Ni Thi Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Se Re Le Me Te Pe/Sha Fra Fla Na Tha Fa '''Da'''
'''Da''' Sa Ra La Ma Ta Pa/Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa '''Da'''
 
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shi
* <u>dup/downmid</u>: Shi Fri Fli Ni Thi Fi/Sho
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Se
* <u>dud/upmid</u>: Se Re Le Me Te Pe/Sha
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''


==48edo==
== 40edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|+
![[48edo]]
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
![[40edo]]
!edosteps
!edosteps
! colspan="3" |solfege names
! colspan="2" |solfege
! colspan="6" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-2
| colspan="3" |Da Du Di/Fre
| colspan="2" |Da Du Di
| colspan="3" |P1 ^1 ^^1/vvm2
| colspan="2" |P1 A1 AA1
| colspan="3" |C ^C ^^C/vvDb
| colspan="2" |C C# Cx
|-
|-
!2nds
!2nds
|2-10
|3-8
|Di/Fre Fro Fra Fru
|Fre Fro Fra
|Fri/Re
|Ra Ru Ri
|Ro Ra Ru Ri/Ne
|dd2 d2 m2
|^^1/vvm2 vm2 m2 ^m2
|M2 A2 AA2
|~2
|Dbbb Dbb Db
|vM2 M2 ^M2 ^^M2/vvm3
|D D# Dx
|^^C/vvDb vDb Db ^Db
|^^Db/vvD
|vD D ^D ^^D/vvEb
|-
|-
!3rds
!3rds
|10-18
|9-14
|Ri/Ne No Na Nu
|Ne No Na
|Ni/Me
|Ma Mu Mi
|Mo Ma Mu Mi/Fe
|dd3 d3 m3
|^^M2/vvm3 vm3 m3 ^m3
|M3 A3 AA3
|~3
|Ebbb Ebb Eb
|vM3 M3 ^M3 ^^M3/vv4
|E E# Ex
|^^D/vvEb vEb Eb ^Eb
|^^Eb/vvE
|vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|18-21
|15-18
| colspan="3" |Mi/Fe Fo Fa Fu
| colspan="2" |Fe Fo Fa Fu/Pa
| colspan="3" |^^M3/vv4 v4 P4 ^4
| colspan="2" |dd4 d4 P4 A4
| colspan="3" |^^E/vvF vF F ^F
| colspan="2" |Fbb Fb F F#
|-
|-
!tritones
!tritone
|22-26
|19-21
| colspan="3" |Fi/Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi/Se
| colspan="2" |Fi/Pu Pi/She Sho/Se
| colspan="3" |^^4/vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5/vv5
| colspan="2" |AA4 AAA4/ddd5 dd5
| colspan="3" |^^F/vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb/vvG
| colspan="2" |Fx Fx#/Gbbb Gbb
|-
|-
!5ths
!5ths
|27-30
|22-25
| colspan="3" |So Sa Su Si/Fle
| colspan="2" |Sha/So Sa Su Si
| colspan="3" |v5 P5 ^5 ^^5/vvm6
| colspan="2" |d5 P5 A5 AA5
| colspan="3" |vG G ^G ^^G/vvAb
| colspan="2" |Gb G G# Gx
|-
|-
!6ths
!6ths
|30-38
|26-31
|Si/Fle Flo Fla Flu
|Fle Flo Fla
|Fli/Le
|La Lu Li
|Lo La Lu Li/The
|dd6 d6 m6
|^^5/vvm6 vm6 m6 ^m6
|M6 A6 AA6
|~6
|Abbb Abb Ab
|vM6 M6 ^M6 ^^M6/vvm7
|A A# Ax
|^^G/vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A/vvBb
|-
|-
!7ths
!7ths
|38-46
|32-37
|Li/The Tho Tha Thu
|The Tho Tha
|Thi/Te
|Ta Tu Ti
|To Ta Tu Ti/De
|dd7 d7 m7
|^^M6/vvm7 vm7 m7 ^m7
|M7 A7 AA7
|~7
|Bbbb Bbb Bb
|vM7 M7 ^M7 ^^M7/vv8
|B B# Bx
|^^A/vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|46-48
|38-40 (41-42)
| colspan="3" |Ti/De Do Da (Du Di)
| colspan="2" |De Do Da (Du Di)
| colspan="3" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |dd8 d8 P8 (A8 AA8)
| colspan="3" |^^B/vvC vC C (^C ^^C)
| colspan="2" |Cbb Cb C (C# Cx)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi '''Di''' Si Ri Li Mi Ti Pi/She Fre Fle Ne The Fe '''De''' Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
== 41edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), inbetween names are bolded
|+
![[48edo]]
Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
![[41edo]]
!edosteps
!edosteps
! colspan="3" |solfege names
! colspan="2" |Da Ra Mo names
! colspan="6" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-'''2'''
|0-1
| colspan="3" |Da Du '''Di=Fre'''
| colspan="2" |Da Du
| colspan="3" |P1 ^1 ^^1
| colspan="2" |P1 ^1
| colspan="3" |C ^C ^^C
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|'''2-10'''
|2-8
|'''Fre''' Fro Fra Fru
|Fro Fra Fru
|Fri/Re
|Ri Ro Ra Ru
|Ro Ra Ru '''Ri=Ne'''
|vm2 m2 ^m2
|vvm2 vm2 m2 ^m2
|~2 vM2 M2 ^M2
|~2
|vDb Db ^Db
|vM2 M2 ^M2 ^^M2
|vvD vD D ^D
|vvDb vDb Db ^Db
|^^Db/vvD
|vD D ^D ^^D
|-
|-
!3rds
!3rds
|'''10-18'''
|9-15
|'''Ne''' No Na Nu
|No Na Nu
|Ni/Me
|Mi Mo Ma Mu
|Mo Ma Mu '''Mi=Fe'''
|vm3 m3 ^m3
|vvm3 vm3 m3 ^m3
|~3 vM3 M3 ^M3
|~3
|vEb Eb ^Eb
|vM3 M3 ^M3 ^^M3
|vvE vE E ^E
|vvEb vEb Eb ^Eb
|^^Eb/vvE
|vE E ^E ^^E
|-
|-
!4ths
!4ths
|'''18-22'''
|16-18
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi=Pe/She'''
| colspan="2" |Fo Fa Fu
| colspan="3" |vv4 v4 P4 ^4 ~4
| colspan="2" |v4 P4 ^4
| colspan="3" |vvF vF F ^F ^^F
| colspan="2" |vF F ^F
|-
|-
!tritones
!tritones
|'''22-26'''
|19-22
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi=Se'''
| colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="3" |~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/~5
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
| colspan="2" |^^F/vGb vF#/Gb F#/^Gb ^F#/vvG
|-
|-
!5ths
!5ths
|'''26-30'''
|23-25
| colspan="3" |'''Se''' So Sa Su '''Si=Fle'''
| colspan="2" |So Sa Su
| colspan="3" |~5 v5 P5 ^5 ^^5
| colspan="2" |v5 P5 ^5
| colspan="3" |vvG vG G ^G ^^G
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|'''30-38'''
|26-32
|'''Fle''' Flo Fla Flu
|Flo Fla Flu
|Fli/Le
|Li Lo La Lu
|Lo La Lu '''Li=The'''
|vm6 m6 ^m6
|vvm6 vm6 m6 ^m6
|~6 vM6 M6 ^M6
|~6
|vAb Ab ^Ab
|vM6 M6 ^M6 ^^M6
|vvA vA A ^A
|vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A
|-
|-
!7ths
!7ths
|'''38-46'''
|33-39
|'''The''' Tho Tha Thu
|Tho Tha Thu
|Thi/Te
|Ti To Ta Tu
|To Ta Tu '''Ti=De'''
|vm7 m7 ^m7
|vvm7 vm7 m7 ^m7
|~7 vM7 M7 ^M7
|~7
|vBb Bb ^Bb
|vM7 M7 ^M7 ^^M7
|vvB vB B ^B
|vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B
|-
|-
!8ves
!8ves
|'''46'''-48
|40-41 (42)
| colspan="3" |'''De''' Do Da (Du Di)
| colspan="2" |Do Da (Du)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |v8 P8 (^8)
| colspan="3" |vvC vC C (^C ^^C)
| colspan="2" |vC C (^C)
|}Fri/Ni/Fli/Thi are included to make the -i circle complete, so that one can do interval arithmetic within it.
|}
'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Shu
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si
* mid segment: Si Ri Li Mi Ti Fi/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
Andrew's solfege
circle
![[41edo]]
!0
!edosteps
!28
!solfege names
!8
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!36
|-
!16
!unisons
!44
|0-1
!24
|Do Di
!4
|P1 ^1
!32
|C ^C
!12
!40
!20
!48
|-
|-
|Da
!2nds
|Sa
|2-8
|Ra
|Ro Rih Ra Ru Reh Re Ri
|La
|vm2 m2 ^m2 ~2 vM2 M2 ^M2
|Ma
|vDb Db ^Db vvD vD D ^D
|Ta
|-
|Pa
!3rds
|
|9-15
|
|Ma Meh Me Mu Mi Maa Mo
|
|vm3 m3 ^m3 ~3 vM3 M3 ^M3
|
|vEb Eb ^Eb vvE vE E ^E
|
|
|-
|-
|
!4ths
|
|16-20
|
|Fe Fa Fih Fu Fi
|
|v4 P4 ^4 ~4 vA4
|
|vF F ^F ^^F vF#
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
| colspan="14" |
!5ths
|21-25
|Se Su Sih So (or Sol) Si
|^d5 ~5 v5 P5 ^5
|^Gb vvG vG G ^G
|-
|-
! rowspan="3" |up
!6ths
circle
|26-32
!1
|Lo Leh Le Lu La Laa Li
!29
|vm6 m6 ^m6 ~6 vM6 M6 ^M6
!9
|vAb Ab ^Ab vvA vA A ^A
!37
!17
!45
!25
!5
!33
!13
!41
!21
!1
|-
|-
|Du
!7ths
|Su
|33-39
|Ru
|Ta Teh Te Tu Ti Taa To
|Lu
|vm7 m7 ^m7 ~7 vM7 M7 ^M7
|Mu
|vBb Bb ^Bb vvB vB B ^B
|Tu
|Pu
|
|
|
|
|
|
|-
|-
|
!8ves
|
|40-41 (42)
|
|Da Do (Di)
|
|v8 P8 (^8)
|
|vC C (^C)
|
|}
|Shu
 
|Fru
== 43edo ==
|Flu
{| class="wikitable center-all"
|Nu
|+
|Thu
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded
|Fu
![[43edo]]
|Du
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
| colspan="14" |
!unisons
|0-'''2'''
| colspan="2" |Da Du '''Di=Fre'''
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
|-
! rowspan="3" |down
!2nds
circle
|'''2-9'''
!47
|'''Fre''' Fro Fra Fru
!27
|Ro Ra Ru '''Ri=Ne'''
!7
|vvm2 vm2 m2 ^m2
!35
|vM2 M2 ^M2 ^^M2
!15
|vvDb vDb Db ^Db
!43
|vD D ^D ^^D
!23
!3
!31
!11
!39
!19
!47
|-
|-
|Do
!3rds
|So
|'''9-16'''
|Ro
|'''Ne''' No Na Nu
|Lo
|Mo Ma Mu '''Mi=Fe'''
|Mo
|vvm3 vm3 m3 ^m3
|To
|vM3 M3 ^M3 ^^M3
|Po
|vvEb vEb Eb ^Eb
|
|vE E ^E ^^E
|
|
|
|
|
|-
|-
|
!4ths
|
|'''16'''-19
|
| colspan="2" |'''Fe''' Fo Fa Fu
|
| colspan="2" |vv4 v4 P4 ^4
|
| colspan="2" |vvF vF F ^F
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
|-
| colspan="14" |
!tritones
|20-23
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu
| colspan="2" |vA4/vvd5  A4/vd5  ^A4/d5  ^^A4/^d5
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
|-
|-
! rowspan="5" |mid /
!5ths
inbetween
|24-'''27'''
 
| colspan="2" |So Sa Su '''Si=Fle'''
circle
| colspan="2" |v5 P5 ^5 ^^5
!2
| colspan="2" |vG G ^G ^^G
!30
!10
!38
!18
!46
!26
!6
!34
!14
!42
!22
!2
|-
|-
|Di
!6ths
|Si
|'''27-34'''
|Ri
|'''Fle''' Flo Fla Flu
|Li
|Lo La Lu '''Li=The'''
|Mi
|vvm6 vm6 m6 ^m6
|Ti
|vM6 M6 ^M6 ^^M6
|Pi
|vvAb vAb Ab ^Ab
|
|vA A ^A ^^A
|
|
|
|
|
|-
|-
|
!7ths
|
|'''34-41'''
|
|'''The''' Tho Tha Thu
|
|To Ta Tu '''Ti=De'''
|
|vvm7 vm7 m7 ^m7
|
|vM7 M7 ^M7 ^^M7
|Shi
|vvBb vBb Bb ^Bb
|Fri
|vB B ^B ^^B
|Fli
|Ni
|Thi
|Fi
|Di
|-
|-
|Fre
!8ves
|Fle
|'''41'''-43
|Ne
| colspan="2" |'''De''' Do Da (Du Di)
|The
| colspan="2" |vv8 v8 P8 (^8 ^^8)
|Fe
| colspan="2" |vvC vC C (^C ^^C)
|De
|}
|Se
'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
|Re
 
|Le
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Sho
|Me
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
|Te
* dup/dud/inbetween segment: She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu
|Pe
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
|
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
== 45edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim)
![[45edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
|
!unisons
|
|0-2
|
|
|
|
|
|
|
|
|
|She
|Fre
|-
!
! colspan="6" |in-between
! colspan="6" |mid
|
|}
 
== 50edo ==
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[50edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |P1 ^1 A1
| colspan="2" |C ^C ^^C
| colspan="2" |C ^C C#
|-
|-
!2nds
!2nds
|3-10
|3-9
|Fre Fro Fra Fru
|Fre Fro Fra
|Ro Ra Ru Ri
|Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2
|d2 vm2 m2
|vM2 M2 ^M2 ^^M2
|~2 M2 ^M2 A2
|vvDb vDb Db ^Db
|Dbb vDb Db
|vD D ^D ^^D
|vD D ^D D#
|-
|-
!3rds
!3rds
|11-18
|10-16
|Ne No Na Nu
|Ne No Na
|Mo Ma Mu Mi
|Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3
|d3 vm3 m3
|vM3 M3 ^M3 ^^M3
|~3 M3 ^M3 A3
|vvEb vEb Eb ^Eb
|Ebb vEb Eb
|vE E ^E ^^E
|vE E ^E E#
|-
|-
!4ths
!4ths
|19-22
|17-20
| colspan="2" |Fe Fo Fa Fu
| colspan="2" |Fe Fo Fa Fu/Po
| colspan="2" |vv4 v4 P4 ^4
| colspan="2" |d4 v4 P4 ~4
| colspan="2" |vvF vF F ^F
| colspan="2" |Fb vF F ^F
|-
|-
!tritones
!tritones
|23-27
|21-24
| colspan="2" |Fi/Po Pa/She Pu/Sho Pi/Sha Shu/Se
| colspan="2" |Fi/Pa Pu/She Pi/Sho Sha/Se
| colspan="2" |^^4/vA4 A4/vvd5 ^A4/vd5 ^^A4/d5 ^d5/vv5
| colspan="2" |A4 ^A4/dd5 AA4/vd5 d5
| colspan="2" |^^F/vF# F#/vvGb ^F#/vGb ^^F#/Gb ^Gb/vvG
| colspan="2" |F# ^F#/Gbb Fx/vGb Gb
|-
|-
!5ths
!5ths
|28-31
|25-28
| colspan="2" |So Sa Su Si
| colspan="2" |So Sa Su Si
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |~5 P5 ^5 A5
| colspan="2" |vG G ^G ^^G
| colspan="2" |vG G ^G G#
|-
|-
!6ths
!6ths
|32-39
|29-35
|Fle Flo Fla Flu
|Fle Flo Fla
|Lo La Lu Li
|Lo La Lu Li
|vvm6 vm6 m6 ^m6
|d6 vm6 m6
|vM6 M6 ^M6 ^^M6
|~6 M6 ^M6 A6
|vvAb vAb Ab ^Ab
|Abb vAb Ab
|vA A ^A ^^A
|vA A ^A A#
|-
|-
!7ths
!7ths
|40-47
|36-42
|The Tho Tha Thu
|The Tho Tha
|To Ta Tu Ti
|To Ta Tu Ti
|vvm7 vm7 m7 ^m7
|d7 vm7 m7
|vM7 M7 ^M7 ^^M7
|^~7 M7 ^M7 A7
|vvBb vBb Bb ^Bb
|Bbb vBb Bb
|vB B ^B ^^B
|vB B ^B B#
|-
|-
!8ves
!8ves
|48-50
|43-45 (46 47)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |d8 v8 P8 (^8 A8)
| colspan="2" |vvC vC C (^C ^^C)
| colspan="2" |Cb vC C (^C C#)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/She Fre Fle Ne The Fe '''De''' Se/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi Di Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da'''  
'''Da''' Sa Ra La Ma Ta Pa/Fi '''Di''' Si Ri Li Mi Ti Pi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/She Fre Fle Ne The Fe '''De''' Se/Sha Fra Fla Na Tha Fa '''Da'''


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/She
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Fi
* <u>dud</u>: She Fre Fle Ne The Fe '''De''' Se/Shu
* dup/aug segment: Fi '''Di''' Si Ri Li Mi Ti Pi/Sho
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi
* up segment: Fu '''Du''' Su Ru Lu Mu Tu Pu/She
* <u>dup</u>: Fi Di Si Ri Li Mi Ti Pi/Sha  
* dud/dim segment: She Fre Fle Ne The Fe '''De''' Se/Sha
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''


== 53edo ==
== 46edo ==
Could use 5 vowels by using -e for dud/upmid.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|+
![[53edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
![[46edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-1
| colspan="2" |Da Du Di/Fre
| colspan="2" |Da Du
| colspan="2" |P1 ^1 ^^1/vvm2
| colspan="2" |P1 ^1
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|2-11
|2-9
|Di/Fre Fro Fra Fru Fri
|Fro Fra Fru Fri
|Re Ro Ra Ru Ri/Ne
|Ri Ro Ra Ru
|^^1/vvm2 vm2 m2 ^m2 v~2
|vm2 m2 ^m2 v~2
|^~2 vM2 M2 ^M2 ^^M2/vvm3
|^~2 vM2 M2 ^M2
|vDb Db ^Db ^^Db
|vvD vD D ^D
|-
|-
!3rds
!3rds
|11-20
|10-17
|Ri/Ne No Na Nu Ni
|No Na Nu Ni
|Me Mo Ma Mu Mi/Fe
|Mi Mo Ma Mu
|^^M2/vvm3 vm3 m3 ^m3 v~3
|vm3 m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3/vv4
|^~3 vM3 M3 ^M3
|vEb Eb ^Eb ^^Eb
|vvE vE E ^E
|-
|-
!4ths
!4ths
|20-23
|18-20
| colspan="2" |Mi/Fe Fo Fa Fu
| colspan="2" |Fo Fa Fu
| colspan="2" |^^M3/vv4 v4 P4 ^4
| colspan="2" |v4 P4 ^4
| colspan="2" |vF F ^F
|-
|-
!tritones
!tritones
|24-29
|21-25
| colspan="2" |Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se
| colspan="2" |Fi/Sho Pi/Sha Po/Shu Pa/Shi Pu/Si
| colspan="2" |v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5
| colspan="2" |v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5
| colspan="2" |^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG
|-
|-
!5ths
!5ths
|30-33
|26-28
| colspan="2" |So Sa Su Si/Fle
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 ^5 ^^5/vvm6
| colspan="2" |v5 P5 ^5
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|33-42
|29-36
|Si/Fle Flo Fla Flu Fli
|Flo Fla Flu Fli
|Le Lo La Lu Li/The
|Li Lo La Lu
|^^5/vvm6 vm6 m6 ^m6 v~6
|vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6/vvm7
|^~6 vM6 M6 ^M6
|vAb Ab ^Ab ^^Ab
|vvA vA A ^A
|-
|-
!7ths
!7ths
|42-51
|37-44
|Li/The Tho Tha Thu Thi
|Tho Tha Thu Thi
|Te To Ta Tu Ti/De
|Ti To Ta Tu
|^^M6/vvm7 vm7 m7 ^m7 v~7
|vm7 m7 ^m7 v~7
|^~7 vM7 M7 ^M7 ^^M7/vv8
|^~7 vM7 M7 ^M7
|vBb Bb ^Bb ^^Bb
|vvB vB B ^B
|-
|-
!8ves
!8ves
|51-53 (54 55)
|45-46 (47)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |Do Da (Du)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |vC C (^C)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se Re Le Me Te Pe/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''  
'''Da''' Sa Ra La Ma Ta Pa/Shi Fri Fli Ni Thi Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da'''


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shu
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Shi
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi  
* dup/downmid segment: Shi Fri Fli Ni Thi Fi/Sho
* <u>dup/dud</u>: Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu
* <u>dud</u>: Se Re Le Me Te Pe/Sho  
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha  
* dud/upmid segment: Si Ri Li Mi Ti Pi/Sha
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''  
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''


== 48edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Phylingual's solfege
|+
![[53edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[48edo]]
!edosteps
!edosteps
!solfege names
! colspan="3" |solfege names
![[Ups and downs notation|ups and downs]] names
! colspan="6" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-2
|Do Di Daw
| colspan="3" |Da Du Di/Fre
|P1 ^1 ^^1
| colspan="3" |P1 ^1 ^^1/vvm2
| colspan="3" |C ^C ^^C/vvDb
|-
|-
!2nds
!2nds
|3-11
|2-10
|Ro Rih Ra Ru Ruh Reh Re Ri Raw
|Di/Fre Fro Fra Fru
|vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
|Fri/Re
|Ro Ra Ru Ri/Ne
|^^1/vvm2 vm2 m2 ^m2
|~2
|vM2 M2 ^M2 ^^M2/vvm3
|^^C/vvDb vDb Db ^Db
|^^Db/vvD
|vD D ^D ^^D/vvEb
|-
|-
!3rds
!3rds
|12-20
|10-18
|Ma Meh Me Mu Muh Mi Maa Mo Maw
|Ri/Ne No Na Nu
|vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
|Ni/Me
|Mo Ma Mu Mi/Fe
|^^M2/vvm3 vm3 m3 ^m3
|~3
|vM3 M3 ^M3 ^^M3/vv4
|^^D/vvEb vEb Eb ^Eb
|^^Eb/vvE
|vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|21-26
|18-21
|Fe Fa Fih Fu Fuh Fi
| colspan="3" |Mi/Fe Fo Fa Fu
|v4 P4 ^4 v~4 ^~4 vA4
| colspan="3" |^^M3/vv4 v4 P4 ^4
| colspan="3" |^^E/vvF vF F ^F
|-
!tritones
|22-26
| colspan="3" |Fi/Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi/Se
| colspan="3" |^^4/vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5/vv5
| colspan="3" |^^F/vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb/vvG
|-
|-
!5ths
!5ths
|27-33
|27-30
|Se Suh Su Sih So (or Sol) Si Saw
| colspan="3" |So Sa Su Si/Fle
|^d5 v~5 ^~5 v5 P5 ^5 ^^5
| colspan="3" |v5 P5 ^5 ^^5/vvm6
| colspan="3" |vG G ^G ^^G/vvAb
|-
|-
!6ths
!6ths
|34-42
|30-38
|Lo Leh Le Lu Luh La Laa Li Law
|Si/Fle Flo Fla Flu
|vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
|Fli/Le
|Lo La Lu Li/The
|^^5/vvm6 vm6 m6 ^m6
|~6
|vM6 M6 ^M6 ^^M6/vvm7
|^^G/vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A/vvBb
|-
|-
!7ths
!7ths
|43-51
|38-46
|Ta Teh Te Tu Tuh Ti Tih To Taw
|Li/The Tho Tha Thu
|vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
|Thi/Te
|To Ta Tu Ti/De
|^^M6/vvm7 vm7 m7 ^m7
|~7
|vM7 M7 ^M7 ^^M7/vv8
|^^A/vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|52-(55)
|46-48
|Da Do (Di Daw)
| colspan="3" |Ti/De Do Da (Du Di)
|v8 P8 (^8 ^^8)
| colspan="3" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="3" |^^B/vvC vC C (^C ^^C)
|}
|}
== 55edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|+
![[55edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), inbetween names are bolded
![[48edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="3" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="6" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-'''2'''
| colspan="2" |Da Du Di
| colspan="3" |Da Du '''Di=Fre'''
| colspan="2" |P1 ^1 ^^1
| colspan="3" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
| colspan="3" |C ^C ^^C
|-
|-
!2nds
!2nds
|3-11
|'''2-10'''
|Fre Fro Fra Fru
|'''Fre''' Fro Fra Fru
|Re Ro Ra Ru Ri
|Fri/Re
|Ro Ra Ru '''Ri=Ne'''
|vvm2 vm2 m2 ^m2
|vvm2 vm2 m2 ^m2
|~2 vM2 M2 ^M2 ^^M2
|~2
|vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db
|vvDb vDb Db ^Db
|vvD vD D ^D ^^D
|^^Db/vvD
|vD D ^D ^^D
|-
|-
!3rds
!3rds
|12-20
|'''10-18'''
|Ne No Na Nu
|'''Ne''' No Na Nu
|Me Mo Ma Mu Mi
|Ni/Me
|Mo Ma Mu '''Mi=Fe'''
|vvm3 vm3 m3 ^m3
|vvm3 vm3 m3 ^m3
|~3 vM3 M3 ^M3 ^^M3
|~3
|vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|vvEb vEb Eb ^Eb
|vvE vE E ^E ^^E
|^^Eb/vvE
|vE E ^E ^^E
|-
|-
!4ths
!4ths
|21-25
|'''18-22'''
| colspan="2" |Fe Fo Fa Fu Fi/Pe
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi=Pe/She'''
| colspan="2" |vv4 v4 P4 ^4 ~4
| colspan="3" |vv4 v4 P4 ^4 ~4
| colspan="2" |vvF vF F ^F ^^F
| colspan="3" |vvF vF F ^F ^^F
|-
|-
!tritones
!tritones
|26-29
|'''22-26'''
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi=Se'''
| colspan="2" |vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5
| colspan="3" |~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/~5
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
|-
|-
!5ths
!5ths
|30-34
|'''26-30'''
| colspan="2" |Se So Sa Su Si
| colspan="3" |'''Se''' So Sa Su '''Si=Fle'''
| colspan="2" |~5 v5 P5 ^5 ^^5
| colspan="3" |~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
| colspan="3" |vvG vG G ^G ^^G
|-
|-
!6ths
!6ths
|35-43
|'''30-38'''
|Fle Flo Fla Flu
|'''Fle''' Flo Fla Flu
|Le Lo La Lu Li
|Fli/Le
|Lo La Lu '''Li=The'''
|vvm6 vm6 m6 ^m6
|vvm6 vm6 m6 ^m6
|~6 vM6 M6 ^M6 ^^M6
|~6
|vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab
|vvAb vAb Ab ^Ab
|vvA vA A ^A ^^A
|^^Ab/vvA
|vA A ^A ^^A
|-
|-
!7ths
!7ths
|44-52
|'''38-46'''
|The Tho Tha Thu
|'''The''' Tho Tha Thu
|Te To Ta Tu Ti
|Thi/Te
|To Ta Tu '''Ti=De'''
|vvm7 vm7 m7 ^m7
|vvm7 vm7 m7 ^m7
|~7 vM7 M7 ^M7 ^^M7
|~7
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|vvBb vBb Bb ^Bb
|vvB vB B ^B ^^B
|^^Bb/vvB
|vB B ^B ^^B
|-
|-
!8ves
!8ves
|53-55
|'''46'''-48
| colspan="2" |De Do Da (Du Di)
| colspan="3" |'''De''' Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
| colspan="3" |vvC vC C (^C ^^C)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi '''Di''' Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''  
Fri/Ni/Fli/Thi are included to make the -i circle complete, so that one can do interval arithmetic within it.
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Sho
circle
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
!0
* <u>dud</u>: She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi
!28
* <u>dup</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Shu
!8
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
!36
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
!16
 
!44
==60edo==
!24
{| class="wikitable center-all"
!4
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
!32
![[60edo]]
!12
!edosteps
!40
! colspan="2" |solfege names
!20
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!48
|-
|-
!unisons
|Da
|0-2
|Sa
| colspan="2" |Da Du Di
|Ra
| colspan="2" |P1 ^1 ^^1
|La
| colspan="2" |C ^C ^^C
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
!2nds
|
|3-12
|
|Fre Fro Fra Fru Fri
|
|Re Ro Ra Ru Ri
|
|vvm2 vm2 m2 ^m2 v~2
|
|^~2 vM2 M2 ^M2 ^^M2
|
|vvDb vDb Db ^Db ^^Db
|Sha
|vvD vD D ^D ^^D
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!3rds
| colspan="14" |
|13-22
|Ne No Na Nu Ni
|Me Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb ^^Eb
|vvE vE E ^E ^^E
|-
|-
!4ths
! rowspan="3" |up
|23-27
 
| colspan="2" |Fe Fo Fa Fu Fi
circle
| colspan="2" |vv4 v4 P4 ^4 v~4
!1
| colspan="2" |vvF vF F ^F ^^F
!29
!9
!37
!17
!45
!25
!5
!33
!13
!41
!21
!1
|-
|-
!tritones
|Du
|28-32
|Su
| colspan="2" |Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi
|Ru
| colspan="2" |^~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/v~5
|Lu
| colspan="2" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
|Mu
|-
|Tu
!5ths
|Pu
|33-37
| colspan="2" |Se So Sa Su Si
| colspan="2" |^~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
|-
!6ths
|38-47
|Fle Flo Fla Flu Fli
|Le Lo La Lu Li
|vvm6 vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab ^^Ab
|vvA vA A ^A ^^A
|-
!7ths
|48-57
|The Tho Tha Thu Thi
|Te To Ta Tu Ti
|vvm7 vm7 m7 ^m7 v~7
|^~7 vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb ^^Bb
|vvB vB B ^B ^^B
|-
!8ves
|58-60
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+'''circles of fifths'''
! rowspan="3" |plain
circle
!0
!35
!10
!45
!20
!55
!30
!5
!40
!15
!50
!25
!60
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
Line 8,345: Line 8,356:
|
|
|
|
|Sha
|Shu
|Fra
|Fru
|Fla
|Flu
|Na
|Nu
|Tha
|Thu
|Fa
|Fu
|Da
|Du
|-
|-
| colspan="14" |
| colspan="14" |
|-
|-
! rowspan="3" |up
! rowspan="3" |down
 
circle
circle
!1
!47
!36
!27
!7
!35
!15
!43
!23
!3
!31
!11
!11
!46
!39
!21
!19
!56
!47
!31
!6
!41
!16
!51
!26
!1
|-
|-
|Du
|Do
|Su
|So
|Ru
|Ro
|Lu
|Lo
|Mu
|Mo
|Tu
|To
|Pu
|Po
|
|
|
|
Line 8,391: Line 8,403:
|
|
|
|
|Shu
|Sho
|Fru
|Fro
|Flu
|Flo
|Nu
|No
|Thu
|Tho
|Fu
|Fo
|Du
|Do
|-
|-
| colspan="14" |
| colspan="14" |
|-
|-
! rowspan="3" |down
! rowspan="5" |mid /
 
inbetween
 
circle
circle
!59
!2
!30
!10
!38
!18
!46
!26
!6
!34
!34
!9
!14
!44
!42
!19
!54
!29
!64
!39
!74
!49
!84
!59
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
| colspan="14" |
|-
! rowspan="3" |dup
circle
!2
!37
!12
!47
!22
!22
!57
!32
!7
!42
!17
!52
!27
!2
!2
|-
|-
Line 8,491: Line 8,460:
|Di
|Di
|-
|-
| colspan="14" |
|Fre
|-
|Fle
! rowspan="3" |dud circle
|Ne
!58
|The
!33
|Fe
!8
!43
!18
!53
!28
!3
!38
!13
!48
!23
!58
|-
|De
|De
|Se
|Se
Line 8,516: Line 8,473:
|Pe
|Pe
|
|
|-
|
|
|
|
Line 8,521: Line 8,479:
|
|
|
|
|-
|
|
|
|
Line 8,530: Line 8,487:
|She
|She
|Fre
|Fre
|Fle
|-
|Ne
!
|The
! colspan="6" |in-between
|Fe
! colspan="6" |mid
|
|}
 
== 50edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[50edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
!2nds
|3-10
|Fre Fro Fra Fru
|Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2
|vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db
|vD D ^D ^^D
|-
!3rds
|11-18
|Ne No Na Nu
|Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3
|vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|vE E ^E ^^E
|-
!4ths
|19-22
| colspan="2" |Fe Fo Fa Fu
| colspan="2" |vv4 v4 P4 ^4
| colspan="2" |vvF vF F ^F
|-
!tritones
|23-27
| colspan="2" |Fi/Po Pa/She Pu/Sho Pi/Sha Shu/Se
| colspan="2" |^^4/vA4 A4/vvd5 ^A4/vd5 ^^A4/d5 ^d5/vv5
| colspan="2" |^^F/vF# F#/vvGb ^F#/vGb ^^F#/Gb ^Gb/vvG
|-
!5ths
|28-31
| colspan="2" |So Sa Su Si
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |vG G ^G ^^G
|-
!6ths
|32-39
|Fle Flo Fla Flu
|Lo La Lu Li
|vvm6 vm6 m6 ^m6
|vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab
|vA A ^A ^^A
|-
!7ths
|40-47
|The Tho Tha Thu
|To Ta Tu Ti
|vvm7 vm7 m7 ^m7
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|vB B ^B ^^B
|-
!8ves
|48-50
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
|}
'''Da''' Sa Ra La Ma Ta Pa/She Fre Fle Ne The Fe '''De''' Se/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi Di Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/She
* dud segment: She Fre Fle Ne The Fe '''De''' Se/Shu
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi
* dup segment: Fi Di Si Ri Li Mi Ti Pi/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
== 53edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[53edo]]
!edosteps
! colspan="2" |solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di/Fre
| colspan="2" |P1 ^1 ^^1/vvm2
|-
!2nds
|2-11
|Di/Fre Fro Fra Fru Fri
|Re Ro Ra Ru Ri/Ne
|^^1/vvm2 vm2 m2 ^m2 v~2
|^~2 vM2 M2 ^M2 ^^M2/vvm3
|-
!3rds
|11-20
|Ri/Ne No Na Nu Ni
|Me Mo Ma Mu Mi/Fe
|^^M2/vvm3 vm3 m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3/vv4
|-
!4ths
|20-23
| colspan="2" |Mi/Fe Fo Fa Fu
| colspan="2" |^^M3/vv4 v4 P4 ^4
|-
!tritones
|24-29
| colspan="2" |Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se
| colspan="2" |v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5
|-
!5ths
|30-33
| colspan="2" |So Sa Su Si/Fle
| colspan="2" |v5 P5 ^5 ^^5/vvm6
|-
!6ths
|33-42
|Si/Fle Flo Fla Flu Fli
|Le Lo La Lu Li/The
|^^5/vvm6 vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6/vvm7
|-
!7ths
|42-51
|Li/The Tho Tha Thu Thi
|Te To Ta Tu Ti/De
|^^M6/vvm7 vm7 m7 ^m7 v~7
|^~7 vM7 M7 ^M7 ^^M7/vv8
|-
!8ves
|51-53 (54 55)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
|}
'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se Re Le Me Te Pe/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Shu
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi
* dup segment: Shi Fri Fli Ni Thi Fi/She
* dup/dud segment: Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se
* dud segment: Se Re Le Me Te Pe/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
{| class="wikitable center-all"
|+
Phylingual's solfege
![[53edo]]
!edosteps
!solfege names
![[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
|Do Di Daw
|P1 ^1 ^^1
|-
!2nds
|3-11
|Ro Rih Ra Ru Ruh Reh Re Ri Raw
|vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
|-
!3rds
|12-20
|Ma Meh Me Mu Muh Mi Maa Mo Maw
|vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
|-
!4ths
|21-26
|Fe Fa Fih Fu Fuh Fi
|v4 P4 ^4 v~4 ^~4 vA4
|-
!5ths
|27-33
|Se Suh Su Sih So (or Sol) Si Saw
|^d5 v~5 ^~5 v5 P5 ^5 ^^5
|-
!6ths
|34-42
|Lo Leh Le Lu Luh La Laa Li Law
|vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
|-
!7ths
|43-51
|Ta Teh Te Tu Tuh Ti Tih To Taw
|vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
|-
!8ves
|52-(55)
|Da Do (Di Daw)
|v8 P8 (^8 ^^8)
|}
 
== 55edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[55edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
!2nds
|3-11
|Fre Fro Fra Fru
|Re Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2
|~2 vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db
|vvD vD D ^D ^^D
|-
!3rds
|12-20
|Ne No Na Nu
|Me Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3
|~3 vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|vvE vE E ^E ^^E
|-
!4ths
|21-25
| colspan="2" |Fe Fo Fa Fu Fi/Pe
| colspan="2" |vv4 v4 P4 ^4 ~4
| colspan="2" |vvF vF F ^F ^^F
|-
!tritones
|26-29
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu
| colspan="2" |vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
|-
!5ths
|30-34
| colspan="2" |Se So Sa Su Si
| colspan="2" |~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
|-
!6ths
|35-43
|Fle Flo Fla Flu
|Le Lo La Lu Li
|vvm6 vm6 m6 ^m6
|~6 vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab
|vvA vA A ^A ^^A
|-
!7ths
|44-52
|The Tho Tha Thu
|Te To Ta Tu Ti
|vvm7 vm7 m7 ^m7
|~7 vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|vvB vB B ^B ^^B
|-
!8ves
|53-55
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
|}
'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi '''Di''' Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
* dud segment: She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi
* dup segment: Fi '''Di''' Si Ri Li Mi Ti Pi/Shu
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
== 60edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[60edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
!2nds
|3-12
|Fre Fro Fra Fru Fri
|Re Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2 v~2
|^~2 vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db ^^Db
|vvD vD D ^D ^^D
|-
!3rds
|13-22
|Ne No Na Nu Ni
|Me Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb ^^Eb
|vvE vE E ^E ^^E
|-
!4ths
|23-27
| colspan="2" |Fe Fo Fa Fu Fi
| colspan="2" |vv4 v4 P4 ^4 v~4
| colspan="2" |vvF vF F ^F ^^F
|-
!tritones
|28-32
| colspan="2" |Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi
| colspan="2" |^~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/v~5
| colspan="2" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
|-
!5ths
|33-37
| colspan="2" |Se So Sa Su Si
| colspan="2" |^~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
|-
!6ths
|38-47
|Fle Flo Fla Flu Fli
|Le Lo La Lu Li
|vvm6 vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab ^^Ab
|vvA vA A ^A ^^A
|-
!7ths
|48-57
|The Tho Tha Thu Thi
|Te To Ta Tu Ti
|vvm7 vm7 m7 ^m7 v~7
|^~7 vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb ^^Bb
|vvB vB B ^B ^^B
|-
!8ves
|58-60
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain
 
circle
!0
!35
!10
!45
!20
!55
!30
!5
!40
!15
!50
!25
!60
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
| colspan="14" |
|-
! rowspan="3" |up
 
circle
!1
!36
!11
!46
!21
!56
!31
!6
!41
!16
!51
!26
!1
|-
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
| colspan="14" |
|-
! rowspan="3" |down
 
circle
!59
!34
!9
!44
!19
!54
!29
!64
!39
!74
!49
!84
!59
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
| colspan="14" |
|-
! rowspan="3" |dup
 
circle
!2
!37
!12
!47
!22
!57
!32
!7
!42
!17
!52
!27
!2
|-
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
| colspan="14" |
|-
! rowspan="3" |dud circle
!58
!33
!8
!43
!18
!53
!28
!3
!38
!13
!48
!23
!58
|-
|De
|De
|Se
|Re
|Le
|Me
|Te
|Pe
|
|
|
|
|
|
|-
|
|
|
|
|
|
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|}
== Rank-2 Uniform Solfeges by Pergen ==
Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only uses enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate them, and the same consonants and vowels can be used. Instead of circles of 5ths, there are fifthchains. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains.
Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover about 20 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.
Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc. -i never means mid, so there are only two vowel sequences, not three:
{| class="wikitable center-all"
|+the two vowel sequences
!3 vowels
|
|<nowiki>-o = down</nowiki>
|<nowiki>-a = plain</nowiki>
|<nowiki>-u = up</nowiki>
|
|-
!5 vowels
|  -e = dud or drop
|<nowiki>-o = down</nowiki>
|<nowiki>-a = plain</nowiki>
|<nowiki>-u = up</nowiki>
|  -i = dup or lift
|}In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''.
The EU ([[enharmonic unison]]) can be added to or subtracted from any note or interval to get an equivalent note or interval.
A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names.to do:
* explain c is P5 - 700¢
* explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.
* make a table of pergens and what MOS scales each one covers
* discuss using numeric solfeges with non-diatonic-friendly MOSes
* for each pergen, list the entire genchain in melodic order, if possible?
* explain temperament naming: can use Aug and Dim syllables to extend the genchains, can use -a- for an omitted prime.
=== List of MOS scales ===
Some combos of pergens and MOS scales require a very sharp or flat 5th. Just as with superflat edos, a uniform solfege can still be used, but the sound of the interval won't match what its name implies. Better to use a different pergen.
{| class="wikitable center-all"
|+
MOS scales and good pergens for them (bolded = requires more than 5 vowels)
!MOS scale
! colspan="2" |primary example
!secondary examples
|-
!Pentatonic
!
!
!
|-
|1L 4s
|(P8, P5/3) [5]
|third-5th pentatonic
|third-4th, quarter-4th, quarter-5th
|-
|2L 3s
|(P8, P5) [5]
|unsplit pentatonic
|third-11th
|-
|3L 2s
|(P8, P12/4) [5]
|quarter-12th pentatonic
|quarter-11th
|-
|4L 1s
|(P8, P4/2) [5]
|half-4th pentatonic
|
|-
!Hexatonic
!
!
!
|-
|1L 5s
|(P8, P4/3) [6]
|third-4th hexatonic
|quarter-4th, quarter-5th, fifth-4th, fifth-5th
|-
|2L 4s
|(P8/2, P5) [6]
|half-8ve hexatonic
|
|-
|3L 3s
|(P8/3, P5) [6]
|third-8ve hexatonic
|
|-
|4L 2s
|(P8/2, P4/2) [6]
|half-everything hexatonic
|
|-
|5L 1s
|(P8, P5/3) [6]
|third-5th hexatonic
|
|-
!Heptatonic
!
!
!
|-
|1L 6s
|(P8, P4/3) [7]
|third-4th heptatonic
|quarter-4th, fifth-4th, fifth-5th, '''sixth-4th, sixth-5th'''
|-
|2L 5s
|(P8, P11/3) [7]
|third-11th heptatonic
|fifth-coco-4th, '''sixth-coco-5th'''
|-
|3L 4s
|(P8, P5/2) [7]
|half-5th heptatonic
|fifth-12th
|-
|4L 3s
|(P8, P11/5) [7]
|fifth-11th heptatonic
|'''sixth-12th'''
|-
|5L 2s
|(P8, P5) [7]
|unsplit heptatonic
|'''sixth-coco-4th'''
|-
|6L 1s
|(P8, P5/4) [7]
|quarter-5th heptatonic
|
|-
!Octotonic
!
!
!
|-
|1L 7s
|(P8, P4/4) [8]
|quarter-4th octotonic
|fifth-4th, fifth-5th, '''sixth-4th, sixth-5th, seventh-4th, seventh-5th'''
|-
|2L 6s
|(P8/2, P5) [8]
|half-8ve octotonic
|
|-
|3L 5s
|(P8, P11/4) [8]
|quarter-11th octotonic
|'''seventh-cc4th, seventh-cc5th'''
|-
|4L 4s
|(P8/4, P5) [8]
|quarter-8ve octotonic
|
|-
|5L 3s
|(P8, P12/4) [8]
|quarter-12th octotonic
|(very lopsided, unless 5th is quite flat)
|-
|6L 2s
|'''(P8/2, P4/3) [8]'''
|'''half-8ve third-4th octotonic'''
|
|-
|7L 1s
|(P8, P4/3) [8]
|third-4th octotonic
|
|-
!Nonatonic
!
!
!
|-
|1L 8s
|(P8, P4/4) [9]
|quarter-4th nonatonic
|fifth-4th, '''sixth-4th, sixth-5th, seventh-4th/5th, eighth-4th/5th'''
|-
|2L 7s
|'''(P8, c<sup>3</sup>P5/8) [9]'''
|'''eighth-trico-5th nonatonic'''
|third-11th, fifth-coco-4th
|-
|3L 6s
|(P8/3, P5) [9]
|third-8ve nonatonic
|'''third-8ve half-5th'''
|-
|4L 5s
|'''(P8, P12/7) [9]'''
|'''seventh-12th nonatonic'''
|'''sixth-11th'''
|-
|5L 4s
|(P8, P4/2) [9]
|half-4th nonatonic
|(lopsided unless 4th is sharp), '''seventh-11th'''
|-
|6L 3s
|'''(P8/3, P4/2) [9]'''
|'''third-8ve half-4th nonatonic'''
|
|-
|7L 2s
|'''(P8, ccP5/6)[9]'''
|'''sixth-coco-5th nonatonic'''
|(lopsided unless 5th is sharp)
|-
|8L 1s
|(P8, P5/5) [9]
|fifth-5th nonatonic
|
|-
!Decatonic
!
!
!
|-
|1L 9s
|'''(P8, P5/6) [10]'''
|'''sixth-5th decatonic'''
|fifth-4th, '''sixth-4th, seventh-4th/5th, eighth-4th/5th, ninth-4th/5th'''
|-
|2L 8s
|(P8/2, P5) [10]
|half-8ve decatonic
|half-8ve quartertone, '''half-8ve third-11th'''
|-
|3L 7s
|(P8, P12/5) [10]
|fifth-12th decatonic
|eighth-cc4th, eighth-cc5th
|-
|4L 6s
|(P8/2, P4/2) [10]
|half-everything decatonic
|
|-
|5L 5s
|(P8/2, P5) [10]
|half-8ve decatonic
|(lopsided unless 5th is quite flat)
|-
|6L 4s
|'''(P8/2, P5/3) [10]'''
|'''half-8ve third-5th decatonic'''
|
|-
|7L 3s
|(P8, P5/2) [10]
|half-5th decatonic
|'''ninth-coco-5th'''
|-
|8L 2s
|'''(P8/2, P4/4) [10]'''
|'''half-8ve quarter-4th decatonic'''
|'''half-8ve quarter-12th'''
|-
|9L 1s
|(P8, P4/2) [10]
|quarter-4th decatonic
|
|}
== #1 (P8, P5) unsplit ==
* G = P5 = 700¢ + c
* EU = vA1 = 0¢ (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)
MOS scales covered:
* 5 = 2L3s (1\2 < P5 < 3\5) (for 3L2s, use P11/4 or P12/4, to avoid P5 > 3\5= 720¢)
* 7 = 5L2s (4\7 < P5 < 3\5) (for 2L5s, perhaps use P11/3 or ccP4/5, to avoid P5 < 4\7 = 686¢)
* 12 = 7L5s or 5L7s (4\7 < P5 < 3\5) (extended solfege only)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain)'''
|-
!genspan
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|}
{| class="wikitable center-all"
|+
'''extended uniform solfege (-a = plain, -u = up = aug, -o = down = dim)'''
|-
!genspan
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
!solfege
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So/Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa/Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|-
!intervals
|dd5
|d2
|d6
|d3
|d7
|d4
|d8
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|A1
|A5
|A2
|A6
|A3
|A7
|AA4
|-
!notes
|Gbb
|Dbb
|Abb
|Ebb
|Bbb
|Fb
|Cb
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|C#
|G#
|D#
|A#
|E#
|B#
|Fx
|}
{| class="wikitable center-all"
|+
2L3s MOS scales (L = m3, s = M2), L/s = (300-3c)/(200+2c)
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!0
!1
!2
!3
!4
!5
|-
!1st 2L3s
!ssLsL
!Ionian
|Da
|Ra
|'''Ma'''
|Sa
|La
|Da
|-
!2nd 2L3s
!sLssL
!Mixolydian
|Da
|Ra
|'''Fa'''
|Sa
|'''La'''
|Da
|-
!3rd 2L3s
!sLsLs
!Dorian
|Da
|'''Ra'''
|Fa
|Sa
|'''Tha'''
|Da
|-
!4th 2L3s
!LssLs
!Aolian
|Da
|'''Na'''
|Fa
|'''Sa'''
|Tha
|Da
|-
!5th 2L3s
!LsLss
!Phrygian
|Da
|Na
|Fa
|'''Fla'''
|Tha
|Da
|}
{| class="wikitable center-all"
|+
5L2s MOS scales (L = M2, s = m2), L/s = (200+2c)/(100-5c)
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 5L2s
!LLLsLLs
!Lydian
|Da
|Ra
|Ma
|'''Pa'''
|Sa
|La
|Ta
|Da
|-
!2nd 5L2s
!LLsLLLs
!Ionian
|Da
|Ra
|Ma
|'''Fa'''
|Sa
|La
|'''Ta'''
|Da
|-
!3rd 5L2s
!LLsLLsL
!Mixolydian
|Da
|Ra
|'''Ma'''
|Fa
|Sa
|La
|'''Tha'''
|Da
|-
!4th 5L2s
!LsLLLsL
!Dorian
|Da
|Ra
|'''Na'''
|Fa
|Sa
|'''La'''
|Tha
|Da
|-
!5th 5L2s
!LsLLsLL
!Aolian
|Da
|'''Ra'''
|Na
|Fa
|Sa
|'''Fla'''
|Tha
|Da
|-
!6th 5L2s
!sLLLsLL
!Phrygian
|Da
|'''Fra'''
|Na
|Fa
|'''Sa'''
|Fla
|Tha
|Da
|-
!7th 5L2s
!sLLsLLL
!Locrian
|Da
|Fra
|Na
|Fa
|'''Sha'''
|Fla
|Tha
|Da
|}
{| class="wikitable center-all"
|+
5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege, L/s = (100+7c)/(100-5c)
if P5 > 700¢, swap L and s to get 7L5s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
!1st 5L7s
!LsLsLssLsLss
|Da
|Du
|Ra
|Ru
|Ma
|'''Mu'''
|Pa/Fu
|Sa
|Su
|La
|Lu
|Ta
|Da
|-
!2nd 5L7s
!LsLssLsLsLss
|Da
|Du
|Ra
|Ru
|Ma
|'''Fa'''
|Pa/Fu
|Sa
|Su
|La
|'''Lu'''
|Ta
|Da
|-
!3rd 5L7s
!LsLssLsLssLs
|Da
|Du
|Ra
|'''Ru'''
|Ma
|Fa
|Pa/Fu
|Sa
|Su
|La
|'''Tha'''
|Ta
|Da
|-
!4th 5L7s
!LssLsLsLssLs
|Da
|Du
|Ra
|'''Na'''
|Ma
|Fa
|Pa/Fu
|Sa
|'''Su'''
|La
|Tha
|Ta
|Da
|-
!5th 5L7s
!LssLsLssLsLs
|Da
|'''Du'''
|Ra
|Na
|Ma
|Fa
|Pa/Fu
|Sa
|'''Fla'''
|La
|Tha
|Ta
|Da
|-
!6th 5L7s
!sLsLsLssLsLs
|Da
|'''Fra'''
|Ra
|Na
|Ma
|Fa
|'''Pa'''
|Sa
|Fla
|La
|Tha
|Ta
|Da
|-
!7th 5L7s
!sLsLssLsLsLs
|Da
|Fra
|Ra
|Na
|Ma
|Fa
|'''Sha'''
|Sa
|Fla
|La
|Tha
|'''Ta'''
|Da
|-
!8th 5L7s
!sLsLssLsLssL
|Da
|Fra
|Ra
|Na
|'''Ma'''
|Fa
|Sha/So
|Sa
|Fla
|La
|Tha
|'''Do'''
|Da
|-
!9th 5L7s
!sLssLsLsLssL
|Da
|Fra
|Ra
|Na
|'''Fo'''
|Fa
|Sha/So
|Sa
|Fla
|'''La'''
|Tha
|Do
|Da
|-
!10th 5L7s
!sLssLsLssLsL
|Da
|Fra
|'''Ra'''
|Na
|Fo
|Fa
|Sha/So
|Sa
|Fla
|'''Tho'''
|Tha
|Do
|Da
|-
!11th 5L7s
!ssLsLsLssLsL
|Da
|Fra
|'''No'''
|Na
|Fo
|Fa
|Sha/So
|'''Sa'''
|Fla
|Tho
|Tha
|Do
|Da
|-
!12th 5L7s
!ssLsLssLsLsL
|Da
|Fra
|No
|Na
|Fo
|Fa
|Sha/So
|'''Flo'''
|Fla
|Tho
|Tha
|Do
|Da
|}
Meantone keyboards were usually tuned to the 4th mode (a fifthchain from Eb to G#).
The sequence of scales starts off with 6 sharps and ends with 7 flats and 3 double-flats:
* C C# D D# E '''E#''' F# G G# A A# B C
* C C# D D# E '''F''' F# G G# A '''A#''' B C
* C C# D D# E F F# G G# A '''Bb''' B C
* and so on until it ends with
* C Db Ebb Eb Fb F Gb Abb Ab Bbb Bb Cb C
12edo's uniform solfege #2 is a merging of the 2nd through 7th modes.
If the solfege is further extended with -i = dup and -e = dud, it can cover the 19-note MOS scales 12L7s and 7L12s.
== #2 (P8/2, P5) half-8ve ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2) = 600¢
* G = P5 = 700¢ + c
*  '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
*  '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
* EU = ^^d2 (solfege #1) = 0¢
* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
* ^ = 6 '''⋅''' |c|
MOS scales covered:
* 8 = 2L6s (either solfege) or 6L2s (solfege #1 only, P5 > 5\8 = 750¢)
* 10 = 2L8s (either solfege) or 8L2s (solfege #1 only, P5 > 3\5 = 720¢)
* 12 = 10L2s (solfege #1 only) or 2L10s (solfege #2 only)
* 14 = 12L2s (solfege #2 only)
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan ('''gen = P5''')
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up/down
genchain
perspan = ±1
!solfege
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
!intervals
|v8
|v5
|vM2
|vM6
|vM3
|vM7
|vA4/^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|-
!notes
|vC
|vG
|vD
|vA
|vE
|vB
|vF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|}
{| class="wikitable center-all"
|+
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan ('''gen = vA1/^m2''')
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Sha
|So
|Fla
|Lo
|Tha
|To
|'''Da'''
|Fru
|Ra
|Nu
|Ma
|Fu
|Pa
|-
!intervals
|d5
|v5
|m6
|vM6
|m7
|vM7
|'''P1'''
|^m2
|M2
|^m3
|M3
|^4
|A4
|-
!notes
|Gb
|vG
|Ab
|vA
|Bb
|vB
|'''C'''
|^Db
|D
|^Eb
|E
|^F
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
genchain
perspan = ±1
!solfege
|Do
|Fra
|Ro
|Na
|Mo
|Fa
|Po/Shu
|Sa
|Flu
|La
|Thu
|Ta
|Du
|-
!intervals
|v8
|m2
|vM2
|m3
|vM3
|P4
|vA4/^d5
|P5
|^m6
|M6
|^m7
|M7
|^1
|-
!notes
|vC
|Db
|vD
|Eb
|vE
|F
|vF#/^Gb
|G
|^Ab
|A
|^Bb
|B
|^C
|}
{| class="wikitable center-all"
|+
2L6s MOS scales using solfege #1 (L = m3/vvA2, s = vA1/^m2)
if P5 > 5\8 = 750¢, swap L and s to get 6L2s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!1st 2L6s
!sssL-sssL
|Da
|Fru
|Ra
|'''Nu'''
|Po/Shu
|Sa
|Flu
|'''La'''
|Da
|-
!2nd 2L6s
!ssLs-ssLs
|Da
|Fru
|'''Ra'''
|'''Fa'''
|Po/Shu
|Sa
|'''Flu'''
|'''To'''
|Da
|-
!3rd 2L6s
!sLss-sLss
|Da
|'''Fru'''
|'''Mo'''
|Fa
|Po/Shu
|'''Sa'''
|'''Tha'''
|To
|Da
|-
!4th 2L6s
!Lsss-Lsss
|Da
|'''Na'''
|Mo
|Fa
|Po/Shu
|'''Lo'''
|Tha
|To
|Da
|}
{| class="wikitable center-all"
|+
2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
if P5 > 3\5 = 720¢, swap L and s to get 8L2s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
!1st 2L8s
!ssssL-ssssL
|Da
|Fru
|Ra
|Nu
|'''Ma'''
|Po/Shu
|Sa
|Flu
|La
|'''Thu'''
|Da
|-
!2nd 2L8s
!sssLs-sssLs
|Da
|Fru
|Ra
|'''Nu'''
|'''Fa'''
|Po/Shu
|Sa
|Flu
|'''La'''
|'''To'''
|Da
|-
!3rd 2L8s
!ssLss-ssLss
|Da
|Fru
|'''Ra'''
|'''Mo'''
|Fa
|Po/Shu
|Sa
|'''Flu'''
|'''Tha'''
|To
|Da
|-
!4th 2L8s
!sLsss-sLsss
|Da
|'''Fru'''
|'''Na'''
|Mo
|Fa
|Po/Shu
|'''Sa'''
|'''Lo'''
|Tha
|To
|Da
|-
!5th 2L8s
!Lssss-Lssss
|Da
|'''Ro'''
|Na
|Mo
|Fa
|Po/Shu
|'''Fla'''
|Lo
|Tha
|To
|Da
|}
{| class="wikitable center-all"
|+
10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 10L2s
!LLLLLs-LLLLLs
|Da
|Fru
|Ra
|Nu
|Ma
|'''Fu'''
|Shu
|Sa
|Flu
|La
|Thu
|'''Ta'''
|Da
|-
!2nd 10L2s
!LLLLsL-LLLLsL
|Da
|Fru
|Ra
|Nu
|'''Ma'''
|'''Fa'''
|Po/Shu
|Sa
|Flu
|La
|'''Thu'''
|'''To'''
|Da
|-
!3rd 10L2s
!LLLsLL-LLLsLL
|Da
|Fru
|Ra
|'''Nu'''
|'''Mo'''
|Fa
|Po/Shu
|Sa
|Flu
|'''La'''
|'''Tha'''
|To
|Da
|-
!4th 10L2s
!LLsLLL-LLsLLL
|Da
|Fru
|'''Ra'''
|'''Na'''
|Mo
|Fa
|Po/Shu
|Sa
|'''Flu'''
|'''Lo'''
|Tha
|To
|Da
|-
!5th 10L2s
!LsLLLL-LsLLLL
|Da
|'''Fru'''
|'''Ro'''
|Na
|Mo
|Fa
|Po/Shu
|'''Sa'''
|'''Fla'''
|Lo
|Tha
|To
|Da
|-
!6th 10L2s
!sLLLLL-sLLLLL
|Da
|'''Fra'''
|Ro
|Na
|Mo
|Fa
|Po
|'''So'''
|Fla
|Lo
|Tha
|To
|Da
|}
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan ('''gen = P5''')
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up/down
genchain
perspan = ±1
!solfege
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
!intervals
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|^A4/vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v8
|-
!notes
|^C
|^G
|^D
|^A
|^E
|^B
|^F#/vGb
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|}
{| class="wikitable center-all"
|+
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = ^A1/vm2)
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Sha
|Su
|Fla
|Lu
|Tha
|Tu
|'''Da'''
|Fro
|Ra
|No
|Ma
|Fo
|Pa
|-
!intervals
|d5
|^5
|m6
|^M6
|m7
|^M7
|'''P1'''
|vm2
|M2
|vm3
|M3
|v4
|A4
|-
!notes
|Gb
|^G
|Ab
|^A
|Bb
|^B
|'''C'''
|vDb
|D
|vEb
|E
|vF
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
genchain
perspan = ±1
!solfege
|Du
|Fra
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|Sa
|Flo
|La
|Tho
|Ta
|Do
|-
!intervals
|^1
|m2
|^M2
|m3
|^M3
|P4
|^A4/vd5
|P5
|vm6
|M6
|vm7
|M7
|v8
|-
!notes
|^C
|Db
|^D
|Eb
|^E
|F
|^F#/vGb
|G
|vAb
|A
|vBb
|B
|vC
|}
{| class="wikitable center-all"
|+
2L6s MOS scales using solfege #2 (L = m3/^^A2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!1st 2L6s
!sssL-sssL
|Da
|Fro
|Ra
|'''No'''
|Pu/Sho
|Sa
|Flo
|'''La'''
|Da
|-
!2nd 2L6s
!ssLs-ssLs
|Da
|Fro
|'''Ra'''
|'''Fa'''
|Pu/Sho
|Sa
|'''Flo'''
|'''Tu'''
|Da
|-
!3rd 2L6s
!sLss-sLss
|Da
|'''Fro'''
|'''Mu'''
|Fa
|Pu/Sho
|'''Sa'''
|'''Tha'''
|Tu
|Da
|-
!4th 2L6s
!Lsss-Lsss
|Da
|'''Na'''
|Mu
|Fa
|Pu/Sho
|'''Lu'''
|Tha
|Tu
|Da
|}
{| class="wikitable center-all"
|+
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
!1st 2L8s
!ssssL-ssssL
|Da
|Fro
|Ra
|No
|'''Ma'''
|Pu/Sho
|Sa
|Flo
|La
|'''Tho'''
|Da
|-
!2nd 2L8s
!sssLs-sssLs
|Da
|Fro
|Ra
|'''No'''
|'''Fa'''
|Pu/Sho
|Sa
|Flo
|'''La'''
|'''Tu'''
|Da
|-
!3rd 2L8s
!ssLss-ssLss
|Da
|Fro
|'''Ra'''
|'''Mu'''
|Fa
|Pu/Sho
|Sa
|'''Flo'''
|'''Tha'''
|Tu
|Da
|-
!4th 2L8s
!sLsss-sLsss
|Da
|'''Fro'''
|'''Na'''
|Mu
|Fa
|Pu/Sho
|'''Sa'''
|'''Lu'''
|Tha
|Tu
|Da
|-
!5th 2L8s
!Lssss-Lssss
|Da
|'''Ru'''
|Na
|Mu
|Fa
|Pu/Sho
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|}
{| class="wikitable center-all"
|+
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 2L10s
!sssssL-sssssL
|Da
|Fro
|Ra
|No
|Ma
|'''Fo'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|'''Ta'''
|Da
|-
!2nd 2L10s
!ssssLs-ssssLs
|Da
|Fro
|Ra
|No
|'''Ma'''
|'''Fa'''
|Pu/Sho
|Sa
|Flo
|La
|'''Tho'''
|'''Tu'''
|Da
|-
!3rd 2L10s
!sssLss-sssLss
|Da
|Fro
|Ra
|'''No'''
|'''Mu'''
|Fa
|Pu/Sho
|Sa
|Flo
|'''La'''
|'''Tha'''
|Tu
|Da
|-
!4th 2L10s
!ssLsss-ssLsss
|Da
|Fro
|'''Ra'''
|'''Na'''
|Mu
|Fa
|Pu/Sho
|Sa
|'''Flo'''
|'''Lu'''
|Tha
|Tu
|Da
|-
!5th 2L10s
!sLssss-sLssss
|Da
|'''Fro'''
|'''Ru'''
|Na
|Mu
|Fa
|Pu/Sho
|'''Sa'''
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|-
!6th 2L10s
!Lsssss-Lsssss
|Da
|'''Fra'''
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|}
{| class="wikitable center-all"
|+
12L2s MOS scales using solfege #2 (L = ^A1/vm2, s = ^1) -- P5 must be < 700¢, or s will be < 0¢
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!
!3rd
!
!4th
!
!5th
!
!6th
!
!7th
!
!8ve
|-
!1st 12L2s
!LLLLLLs-LLLLLLs
|Da
|Fro
|Ra
|No
|Ma
|Fo
|'''Pa'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|Ta
|'''Do'''
|Da
|-
!2nd 12L2s
!LLLLLsL-LLLLLsL
|Da
|Fro
|Ra
|No
|Ma
|'''Fo'''
|'''Fa'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|'''Ta'''
|'''Tu'''
|Da
|-
!3rd 12L2s
!LLLLsLL-LLLLsLL
|Da
|Fro
|Ra
|No
|'''Ma'''
|'''Mu'''
|Fa
|Pu/Sho
|Sa
|Flo
|La
|'''Tho'''
|'''Tha'''
|Tu
|Da
|-
!4th 12L2s
!LLLsLLL-LLLsLLL
|Da
|Fro
|Ra
|'''No'''
|'''Na'''
|Mu
|Fa
|Pu/Sho
|Sa
|Flo
|'''La'''
|'''Lu'''
|Tha
|Tu
|Da
|-
!5th 12L2s
!LLsLLLL-LLsLLLL
|Da
|Fro
|'''Ra'''
|'''Ru'''
|Na
|Mu
|Fa
|Pu/Sho
|Sa
|'''Flo'''
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|-
!6th 12L2s
!LsLLLLL-LsLLLLL
|Da
|'''Fro'''
|'''Fra'''
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|'''Sa'''
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|-
!7th 12L2s
!sLLLLLL-sLLLLLL
|Da
|'''Du'''
|Fra
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|'''Sha'''
|Su
|Fla
|Lu
|Tha
|Tu
|Da
|}
== #3 (P8, P4/2) half-4th ==
* G = ^M2/vm3 = 250¢ - c/2
* EU = vvm2 = 0¢
* ^ = 50¢ - 2.5c
MOS scales covered:
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 9 = 5L4s or 4L5s (P5 < 5\9 = 667¢)
* 14 = 9L5s or 5L9s (P5 < 4\7 = 686¢)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
|-
!genspan
!13
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
!solfege
|Flu
|Sha
|Nu
|Fra
|Thu
|Fla
|Fu
Sho
|Na
|Du
Fro
|Tha
|Su
Flo
|Fa
|Ru
No
|'''Da'''
|Lu
Tho
|Sa
|Mu
Fo
|Ra
|Tu
Do
|La
|Pu
So
|Ma
|Ro
|Ta
|Lo
|Pa
|Mo
|-
!intervals
|^m6
|d5
|^m3
|m2
|^m7
|m6
|^4
vd5
|m3
|^1
vm2
|m7
|^5
vm6
|P4
|^M2
vm3
|'''P1'''
|^M6
vm7
|P5
|^M3
v4
|M2
|^M7
v8
|M6
|^A4
v5
|M3
|vM2
|M7
|vM6
|A4
|vM3
|-
!notes
|^Ab
|Gb
|^Eb
|Db
|^Bb
|Ab
|^F
vGb
|Eb
|^C
vDb
|Bb
|^G
vAb
|F
|^D
vEb
|'''C'''
|^A
vBb
|G
|^E
vF
|D
|^B
vC
|A
|^F#
vG
|E
|vD
|B
|vA
|F#
|vE
|}
{| class="wikitable center-all"
|+
4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
!1st 4L1s
!sLLLL
|Da
|'''Ra'''
|Mu/Fo
|Sa
|Lu/Tho
|Da
|-
!2nd 4L1s
!LsLLL
|Da
|'''Ru/No'''
|'''Mu/Fo'''
|Sa
|Lu/Tho
|Da
|-
!3rd 4L1s
!LLsLL
|Da
|Ru/No
|'''Fa'''
|'''Sa'''
|Lu/Tho
|Da
|-
!4th 4L1s
!LLLsL
|Da
|Ru/No
|Fa
|'''Su/Flo'''
|'''Lu/Tho'''
|Da
|-
!5th 4L1s
!LLLLs
|Da
|Ru/No
|Fa
|Su/Flo
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
if P5 < 5\9 = 667¢, swap L and s to get 4L5s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
!1st 5L4s
!LLsLsLsLs
|Da
|Ra
|'''Ma'''
|Mu/Fo
|Pu/So
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|-
!2nd 5L4s
!LsLLsLsLs
|Da
|Ra
|'''Ru/No'''
|Mu/Fo
|'''Pu/So'''
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|-
!3rd 5L4s
!LsLsLLsLs
|Da
|Ra
|Ru/No
|Mu/Fo
|'''Fa'''
|Sa
|'''La'''
|Lu/Tho
|Tu/Do
|Da
|-
!4th 5L4s
!LsLsLsLLs
|Da
|Ra
|Ru/No
|Mu/Fo
|Fa
|Sa
|'''Su/Flo'''
|Lu/Tho
|'''Tu/Do'''
|Da
|-
!5th 5L4s
!LsLsLsLsL
|Da
|'''Ra'''
|Ru/No
|Mu/Fo
|Fa
|Sa
|Su/Flo
|Lu/Tho
|'''Tha'''
|Da
|-
!6th 5L4s
!sLLsLsLsL
|Da
|'''Du/Fro'''
|Ru/No
|'''Mu/Fo'''
|Fa
|Sa
|Su/Flo
|Lu/Tho
|Tha
|Da
|-
!7th 5L4s
!sLsLLsLsL
|Da
|Du/Fro
|Ru/No
|'''Na'''
|Fa
|'''Sa'''
|Su/Flo
|Lu/Tho
|Tha
|Da
|-
!8th 5L4s
!sLsLsLLsL
|Da
|Du/Fro
|Ru/No
|Na
|Fa
|'''Fu/Sho'''
|Su/Flo
|'''Lu/Tho'''
|Tha
|Da
|-
!9th 5L4s
!sLsLsLsLL
|Da
|Du/Fro
|Ru/No
|Na
|Fa
|Fu/Sho
|Su/Flo
|'''Fla'''
|Tha
|Da
|}
A similar table can be made for 5L9s. The same solfege can be used for 9L5s, but Sa will be < 4\7 = 686¢.
== #4 (P8, P5/2) half-5th (list alternate pergens) ==
* G = ^m3/vM3 = ~3 = 350¢ + c/2
* EU = vvA1 = 0¢
* ^ = 50¢ + 3.5c
MOS scales covered:
* 7 = 3L4s (and 4L3s if P5 < 4\7 = 686¢)
* 10 = 7L3s (and 3L7s if P5 > 3\5 = 720¢)
* 13 = 10L3s (if P5 > 3\5 = 720¢) and 3L10s (if P5 > 8\13)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
|-
!genspan
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
!solfege
|No
|Sha
|Tho
|Fra
|Fo
|Fla
|Do
|Na
|So
Shu
|Tha
|Ro
Fru
|Fa
|Lo
Flu
|'''Da'''
|Mo
Nu
|Sa
|To
Thu
|Ra
|Po
Fu
|La
|Du
|Ma
|Su
|Ta
|Ru
|Pa
|Lu
|-
!intervals
|vm3
|d5
|vm7
|m2
|v4
|m6
|v8
|m3
|~5
|m7
|~2
|P4
|~6
|'''P1'''
|~3
|P5
|~7
|M2
|~4
|M6
|^1
|M3
|^5
|M7
|^M2
|A4
|^M6
|-
!notes
|vEb
|Gb
|vBb
|Db
|vF
|Ab
|vC
|Eb
|^Gb
vG
|Bb
|^Db
vD
|F
|^Ab
vA
|'''C'''
|^Eb
vE
|G
|^Bb
vB
|D
|^F
vF#
|A
|^C
|E
|^G
|B
|^D
|F#
|^A
|}
for 7-note scales, up notes aren't needed, because every up note can be sung as a down note.
{| class="wikitable center-all"
|+
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
if P5 < 4\7 = 686¢, swap L and s to get 4L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 3L4s
!LsLsLss
|Da
|Ra
|Mo
|Po
|Sa
|'''La'''
|To
|Da
|-
!2nd 3L4s
!LsLssLs
|Da
|Ra
|Mo
|'''Po'''
|Sa
|'''Lo'''
|To
|Da
|-
!3rd 3L4s
!LssLsLs
|Da
|'''Ra'''
|Mo
|'''Fa'''
|Sa
|Lo
|To
|Da
|-
!4th 3L4s
!sLsLsLs
|Da
|'''Ro'''
|Mo
|Fa
|Sa
|Lo
|'''To'''
|Da
|-
!5th 3L4s
!sLsLssL
|Da
|Ro
|Mo
|Fa
|'''Sa'''
|Lo
|'''Tha'''
|Da
|-
!6th 3L4s
!sLssLsL
|Da
|Ro
|'''Mo'''
|Fa
|'''So'''
|Lo
|Tha
|Da
|-
!7th 3L4s
!ssLsLsL
|Da
|Ro
|'''Na'''
|Fa
|So
|Lo
|Tha
|Da
|}
For 10-note scales, both up notes and down notes are needed.
{| class="wikitable center-all"
|+7L3s MOS scales (L = ^m2 = vM2 = different degree, s = ^1 = vA1 = same degree)
if P5 > 3\5 = 720¢, swap L and s to get 3L7s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
!1st 7L3s
!sLLsLLsLLL
|Da
|Du
|Ra
|Nu/Mo
|Ma
|Fu/Po
|Sa
|'''Su'''
|La
|Thu/To
|Da
|-
!2nd 7L3s
!sLLsLLLsLL
|Da
|Du
|Ra
|Nu/Mo
|'''Ma'''
|Fu/Po
|Sa
|'''Flu/Lo'''
|La
|Thu/To
|Da
|-
!3rd 7L3s
!sLLLsLLsLL
|Da
|'''Du'''
|Ra
|Nu/Mo
|'''Fa'''
|Fu/Po
|Sa
|Flu/Lo
|La
|Thu/To
|Da
|-
!4th 7L3s
!LsLLsLLsLL
|Da
|'''Fru/Ro'''
|Ra
|Nu/Mo
|Fa
|Fu/Po
|Sa
|Flu/Lo
|'''La'''
|Thu/To
|Da
|-
!5th 7L3s
!LsLLsLLLsL
|Da
|Fru/Ro
|Ra
|Nu/Mo
|Fa
|'''Fu/Po'''
|Sa
|Flu/Lo
|'''Tha'''
|Thu/To
|Da
|-
!6th 7L3s
!LsLLLsLLsL
|Da
|Fru/Ro
|'''Ra'''
|Nu/Mo
|Fa
|'''Shu/So'''
|Sa
|Flu/Lo
|Tha
| Thu/To
|Da
|-
!7th 7L3s
! LLsLLsLLsL
|Da
|Fru/Ro
|'''Na'''
|Nu/Mo
|Fa
| Shu/So
|Sa
|Flu/Lo
|Tha
|'''Thu/To'''
| Da
|-
!8th 7L3s
!LLsLLsLLLs
|Da
|Fru/Ro
|Na
|Nu/Mo
|Fa
|Shu/So
|'''Sa'''
|Flu/Lo
|Tha
|'''Do'''
|Da
|-
!9th 7L3s
!LLsLLLsLLs
|Da
|Fru/Ro
|Na
|'''Nu/Mo'''
|Fa
|Shu/So
|'''Fla'''
|Flu/Lo
|Tha
|Do
|Da
|-
!10th 7L3s
!LLLsLLsLLs
|Da
|Fru/Ro
|Na
|'''Fo'''
|Fa
|Shu/So
|Fla
|Flu/Lo
|Tha
|Do
|Da
|}
==#5 (P8/2, P4/2) half-everything (incomplete)==
It has only 4 fifthchains, but two of them require double names. Hmm, must think about this...
== #6 (P8/3, P5) third-8ve ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2) = 400¢
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2) = 100¢ - c
* EU = ^<sup>3</sup>d2 = 0¢
* ^ = 4 '''⋅''' |c|
MOS scales covered:
* 6 = 3L3s (either solfege)
* 9 = 3L6s (either solfege) or 6L3s (solfege #2 only)
* 12 = 3L9s (extended solfege #1 only) or 9L3s (extended solfege #2 only)
* 15 = 12L3s (extended solfege #1 only) or 3L12s (extended solfege #1 only, P5 > 3\5 = 720¢)
* 18 = 15L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 11\18 = 733¢, you get 3L15s)
* 21= 12L9s (extended solfege #2 only)
* 21 = 18L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 13\21 = 743¢, you get 3L18s)
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = P5)
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |down
genchain
perspan = 1
!solfege
|Ro
|Lo
|Mo
|To
|Po
|-
!intervals
|vM2
|vM6
|vM3
|vM7
|vA4
|-
!notes
|vD
|vA
|vE
|vB
|vF#
|-
| colspan="7" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|'''C'''
|G
|D
|-
| colspan="7" |
|-
! rowspan="3" |up
genchain
perspan = -1
!solfege
|Shu
|Fru
|Flu
|Nu
|Thu
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|}
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = vvA1/^m2)
!2
!1
!0
!-1
!-2
|-
! rowspan="3" |Fa's
genchain
perspan = 1
!solfege
|Shu
|Fa
|Mo
|Nu
|Ra
|-
!intervals
|^d5
|P4
|vM3
|^m3
|M2
|-
!notes
|^Gb
|F
|vE
|^Eb
|D
|-
| colspan="7" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Ro
|Fru
|'''Da'''
|To
|Thu
|-
!intervals
|vM2
|^m2
|'''P1'''
|vM7
|^m7
|-
!notes
|vD
|^Db
|'''C'''
|vB
|^Bb
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
genchain
perspan = -1
!solfege
|Tha
|Lo
|Flu
|Sa
|Po
|-
!intervals
|m7
|vM6
|^m6
|P5
|vA4
|-
!notes
|Bb
|vA
|^Ab
|G
|vF#
|}
{| class="wikitable center-all"
|+
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |down
genchain
perspan = 1
!solfege
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shi
|Fri
|Fli
|Ni
|Thi
|-
!intervals
|vm7
|v4
|v1
|v5
|vM2
|vM6
|vM3
|vM7
|vA4/^^d5
|^^m2
|^^m6
|^^m3
|^^m7
|-
!notes
|vBb
|vF
|vC
|vG
|vD
|vA
|vE
|vB
|vF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|^^Bb
|-
| colspan="15" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up
genchain
perspan = -1
!solfege
|Re
|Le
|Me
|Te
|Pe/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|-
!intervals
|vvM2
|vvM6
|vvM3
|vvM7
|vvA4/^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|^5
|^M2
|-
!notes
|vvD
|vvA
|vvE
|vvB
|vvF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|^G
|^D
|}
{| class="wikitable center-all"
|+
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = vvA1/^m2)
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
|-
! rowspan="3" |Fa's
genchain
perspan = 1
!solfege
|Tho
|Le
|Fla
|So
|Pe/Shu
|Fa
|Mo
|Nu
|Ra
|Fri
|Du
|Ta
|Thi
|-
!intervals
|vm7
|vvM6
|m6
|v5
|vvA4/^d5
|P4
|vM3
|^m3
|M2
|^^m2
|^1
|M7
|^^m7
|-
!notes
|vBb
|vvA
|Ab
|vG
|vvF#/^Gb
|F
|vE
|^Eb
|D
|^^Db
|^C
|B
|^^Bb
|-
| colspan="15" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Sha
|Fo
|Me
|Na
|Ro
|Fru
|'''Da'''
|To
|Thu
|La
|Fli
|Su
|Pa
|-
!intervals
|d5
|v4
|vvM3
|m3
|vM2
|^m2
|'''P1'''
|vM7
|^m7
|M6
|^^m6
|^5
|A4
|-
!notes
|Gb
|vF
|vvE
|Eb
|vD
|^Db
|'''C'''
|vB
|^Bb
|A
|^^Ab
|^G
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
genchain
perspan = -1
!solfege
|Re
|Fra
|Do
|Te
|Tha
|Lo
|Flu
|Sa
|Po/Shi
|Fu
|Ma
|Ni
|Ru
|-
!intervals
|vvM2
|m2
|v1
|vvM7
|m7
|vM6
|^m6
|P5
|vA4/^^d5
|^4
|M3
|^^m3
|^M2
|-
!notes
|vvD
|Db
|vC
|vvB
|Bb
|vA
|^Ab
|G
|vF#/^^Gb
|^F
|E
|^^Eb
|^D
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
!1st 3L3s
!Ls-Ls-Ls
|Da
|'''Nu'''
|Mo
|'''Sa'''
|Flu
|'''To'''
|Da
|-
!2nd 3L3s
!sL-sL-sL
|Da
|'''Fru'''
|Mo
|'''Fa'''
|Flu
|'''Lo'''
|Da
|}
{| class="wikitable center-all"
|+
3L6s MOS scales (L = M2 = rhymes, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 3L6s
!Lss-Lss-Lss
|Da
|'''Ra'''
|Nu
|Mo
|'''Po'''
|Sa
|Flu
|'''Thu'''
|To
|Da
|-
!2nd 3L6s
!sLs-sLs-sLs
|Da
|'''Fru'''
|'''Nu'''
|Mo
|'''Fa'''
|'''Sa'''
|Flu
|'''Lo'''
|'''To'''
|Da
|-
!3rd 3L6s
!ssL-ssL-ssL
|Da
|Fru
|'''Ro'''
|Mo
|Fa
|'''Shu'''
|Flu
|Lo
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 3L9s
!Lsss-Lsss-Lsss
|Da
|'''Fri'''
|Ra
|Nu
|Mo
|'''Fu'''
|Po/Shi
|Sa
|Flu
|'''La'''
|Thu
|To
|Da
|-
!2nd 3L9s
!sLss-sLss-sLss
|Da
|'''Fru'''
|'''Ra'''
|Nu
|Mo
|'''Fa'''
|'''Po'''
|Sa
|Flu
|'''Lo'''
|'''Thu'''
|To
|Da
|-
!3rd 3L9s
!ssLs-ssLs-ssLs
|Da
|Fru
|'''Ro'''
|'''Nu'''
|Mo
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Lo
|'''Tha'''
|'''To'''
|Da
|-
!4th 3L9s
!sssL-sssL-sssL
|Da
|Fru
|Ro
|'''Na'''
|Mo
|Fa
|Pe/Shu
|'''So'''
|Flu
|Lo
|Tha
|'''Te'''
|Da
|}
Similar tables can be made for 15- and 18-note scales.
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = P5)
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |up
genchain
perspan = 1
!solfege
|Ru
|Lu
|Mu
|Tu
|Pu
|-
!intervals
|^M2
|^M6
|^M3
|^M7
|^A4
|-
!notes
|^D
|^A
|^E
|^B
|^F#
|-
| colspan="7" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|'''C'''
|G
|D
|-
| colspan="7" |
|-
! rowspan="3" |down
genchain
perspan = -1
!solfege
|Sho
|Fro
|Flo
|No
|Tho
|-
!intervals
|vd5
|vm2
|vm6
|vm3
|vm7
|-
!notes
|vGb
|vDb
|vAb
|vEb
|vBb
|}
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = ^^A1/vm2)
!2
!1
!0
!-1
!-2
|-
! rowspan="3" |Fa's
genchain
perspan = 1
!solfege
|Sho
|Fa
|Mu
|No
|Ra
|-
!intervals
|vd5
|P4
|^M3
|vm3
|M2
|-
!notes
|vGb
|F
|^E
|vEb
|D
|-
| colspan="7" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Ru
|Fro
|'''Da'''
|Tu
|Tho
|-
!intervals
|^M2
|vm2
|'''P1'''
|^M7
|vm7
|-
!notes
|^D
|vDb
|'''C'''
|^B
|vBb
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
genchain
perspan = -1
!solfege
|Tha
|Lu
|Flo
|Sa
|Pu
|-
!intervals
|m7
|^M6
|vm6
|P5
|^A4
|-
!notes
|Bb
|^A
|vAb
|G
|^F#
|}
{| class="wikitable center-all"
|+
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |up/dud
genchain
perspan = 1
!solfege
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/She
|Fre
|Fle
|Ne
|The
|-
!intervals
|^m7
|^4
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|^A4/vvd5
|vvm2
|vvm6
|vvm3
|vvm7
|-
!notes
|Bb
|^F
|^C
|^G
|^D
|^A
|^E
|^B
|^F#/vvGb
|vvDb
|vvAb
|vvEb
|vvBb
|-
| colspan="15" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |down/dup
genchain
perspan = -1
!solfege
|Ri
|Li
|Mi
|Ti
|Pi/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|-
!intervals
|^^M2
|^^M6
|^^M3
|^^M7
|^^A4/vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v1
|v5
|vM2
|-
!notes
|^^D
|^^A
|^^E
|^^B
|^^F#/vGb
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|vG
|vD
|}
{| class="wikitable center-all"
|+
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = ^^A1/vm2)
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
|-
! rowspan="3" |Fa's
genchain
perspan = 1
!solfege
|Thu
|Li
|Fla
|Su
|Pi/Sho
|Fa
|Mu
|No
|Ra
|Fre
|Do
|Ta
|The
|-
!intervals
|^m7
|^^M6
|m6
|^5
|^^A4/vd5
|P4
|^M3
|vm3
|M2
|vvm2
|v1
|M7
|vvm7
|-
!notes
|^Bb
|^^A
|Ab
|^G
|^^F#/vGb
|F
|^E
|vEb
|D
|vvDb
|vC
|B
|vvBb
|-
| colspan="15" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Sha
|Fu
|Mi
|Na
|Ru
|Fro
|'''Da'''
|Tu
|Tho
|La
|Fle
|So
|Pa
|-
!intervals
|d5
|^4
|^^M3
|m3
|^M2
|vm2
|'''P1'''
|^M7
|vm7
|M6
|vvm6
|v5
|A4
|-
!notes
|Gb
|^F
|^^E
|Eb
|^D
|vDb
|'''C'''
|^B
|vBb
|A
|vvAb
|vG
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
genchain
perspan = -1
!solfege
|Ri
|Fra
|Du
|Ti
|Tha
|Lu
|Flo
|Sa
|Pu/She
|Fo
|Ma
|Ne
|Ro
|-
!intervals
|^^M2
|m2
|^1
|^^M7
|m7
|^M6
|vm6
|P5
|^A4/vvd5
|v4
|M3
|vvm3
|vM2
|-
!notes
|^^D
|Db
|^C
|^^B
|Bb
|^A
|vAb
|G
|^F#/vvGb
|vF
|E
|vvEb
|vD
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^^A2/vm3, s = ^^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
!1st 3L3s
!Ls-Ls-Ls
|Da
|'''No'''
|Mu
|'''Sa'''
|Flo
|'''Tu'''
|Da
|-
!2nd 3L3s
!sL-sL-sL
|Da
|'''Fro'''
|Mu
|'''Fa'''
|Flo
|'''Lu'''
|Da
|}
{| class="wikitable center-all"
|+
3L6s MOS scales (L = M2 = rhymes, s = ^^A1/vm2)
if P5 < 5\9 = 667¢, swap L and s to get 6L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 3L6s
!Lss-Lss-Lss
|Da
|'''Ra'''
|No
|Mu
|'''Pu'''
|Sa
|Flo
|'''Tho'''
|Tu
|Da
|-
!2nd 3L6s
!sLs-sLs-sLs
|Da
|'''Fro'''
|'''No'''
|Mu
|'''Fa'''
|'''Sa'''
|Flo
|'''Lu'''
|'''Tu'''
|Da
|-
!3rd 3L6s
!ssL-ssL-ssL
|Da
|Fro
|'''Ru'''
|Mu
|Fa
|'''Sho'''
|Flo
|Lu
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
9L3s MOS scales (L = ^A1/vvm2, s = ^^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 9L3s
!sLLL-sLLL-sLLL
|Da
|'''Fre'''
|Ra
|No
|Mu
|'''Fo'''
|Pu/She
|Sa
|Flo
|'''La'''
|Tho
|Tu
|Da
|-
!2nd 9L3s
!LsLL-LsLL-LsLL
|Da
|'''Fro'''
|'''Ra'''
|No
|Mu
|'''Fa'''
|'''Pu'''
|Sa
|Flo
|'''Lu'''
|'''Tho'''
|Tu
|Da
|-
!3rd 9L3s
!LLsL-LLsL-LLsL
|Da
|Fro
|'''Ru'''
|'''No'''
|Mu
|Fa
|'''Sho'''
|'''Sa'''
|Flo
|Lu
|'''Tha'''
|'''Tu'''
|Da
|-
!4th 9L3s
!LLLs-LLLs-LLLs
|Da
|Fro
|Ru
|'''Na'''
|Mu
|Fa
|Pi/Sho
|'''Su'''
|Flo
|Lu
|Tha
|'''Ti'''
|Da
|}
== #7 (P8, P4/3) third-4th ==
* G = vM2/^^m2 = ^~2 = 167¢ - c/3
* EU = v<sup>3</sup>A1 = 0¢
* ^ = (100¢ + 7c) / 3
MOS scales covered:
* 7 = 1L6s (for 6L1s use quarter-5th)
* 8 = 7L1s or 1L7s
* 15 = 7L8s (all but 2 modes) (4\7 < P5 < 3\5)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
|-
!genspan
!13
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
!solfege
|Tho
|Fla
|Shu
|Fo
|Na
|Fru
|Do
|Tha
|Flu
|So
|Fa
|Nu
|Ro
|'''Da'''
|Thu
|Lo
|Sa
|Fu
|Mo
|Ra
|Du
|To
|La
|Su
|Po
|Ma
|Ru
|-
!intervals
|vm7
|m6
|^d5
|v4
|m3
|^m2
|v8
|m7
|^m6
|v5
|P4
|^m3
|vM2
|'''P1'''
|^m7
|vM6
|P5
|^4
|vM3
|M2
|^1
|vM7
|M6
|^5
|vA4
|M3
|^M2
|-
!notes
|vBb
|Ab
|^Gb
|vF
|Eb
|^Db
|vC
|Bb
|^Ab
|vG
|F
|^Eb
|vD
|'''C'''
|^Bb
|vA
|G
|^F
|vE
|D
|^C
|vB
|A
|^G
|vF#
|E
|^D
|}
{| class="wikitable center-all"
|+
'''uniform solfege in melodic order (Po and Shu switch places when P5 > 13\22 = 709¢)'''
!index
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!26
!27
|-
!genspan
!0
!-7
!8
!1
!-6
!-13
!9
!2
!-5
!-12
!10
!3
!-4
!-11
!11
!4
!-3
!-10
!12
!5
!-2
!-9
!13
!6
!-1
!-8
!7
!0
|-
!solfege
|Da
|Du
|Fru
|Ro
|Ra
|Ru
|Na
|Nu
|Mo
|Ma
|Fo
|Fa
|Fu
|Po
|Shu
|So
|Sa
|Su
|Fla
|Flu
|Lo
|La
|Tho
|Tha
|Thu
|To
|Do
|Da
|-
!intervals
|P1
|^1
|^m2
|vM2
|M2
|^M2
|m3
|^m3
|vM3
|M3
|v4
|P4
|^4
|vA4
|^d5
|v5
|P5
|^5
|m6
|^m6
|vM6
|M6
|vm7
|m7
|^m7
|vM7
|v8
|P1
|-
!notes
|C
|^C
|^Db
|vD
|D
|^D
|Eb
|^Eb
|vE
|E
|vF
|F
|^F
|vF#
|^Gb
|vG
|G
|^G
|Ab
|^Ab
|vA
|A
|vBb
|Bb
|^Bb
|vB
|vC
|C
|}
{| class="wikitable center-all"
|+
1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 1L6s
!Lssssss
|Da
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|-
!2nd 1L6s
!sLsssss
|Da
|'''Ro'''
|'''Mo'''
|Fu
|Sa
|Lo
|Thu
|Da
|-
!3rd 1L6s
!ssLssss
|Da
|Ro
|'''Nu'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|-
!4th 1L6s
!sssLsss
|Da
|Ro
|Nu
|'''Fa'''
|'''Sa'''
|Lo
|Thu
|Da
|-
!5th 1L6s
!ssssLss
|Da
|Ro
|Nu
|Fa
|'''So'''
|'''Lo'''
|Thu
|Da
|-
!6th 1L6s
!sssssLs
|Da
|Ro
|Nu
|Fa
|So
|'''Flu'''
|'''Thu'''
|Da
|-
!7th 1L6s
!ssssssL
|Da
|Ro
|Nu
|Fa
|So
|Flu
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!1st 7L1s
!sLLLLLLL
|Da
|'''Du'''
|Ra
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|-
!2nd 7L1s
!LsLLLLLL
|Da
|'''Ro'''
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|-
!3rd 7L1s
!LLsLLLLL
|Da
|Ro
|'''Nu'''
|'''Mo'''
|Fu
|Sa
|Lo
|Thu
|Da
|-
!4th 7L1s
!LLLsLLLL
|Da
|Ro
|Nu
|'''Fa'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|-
!5th 7L1s
!LLLLsLLL
|Da
|Ro
|Nu
|Fa
|'''So'''
|'''Sa'''
|Lo
|Thu
|Da
|-
!6th 7L1s
!LLLLLsLL
|Da
|Ro
|Nu
|Fa
|So
|'''Flu'''
|'''Lo'''
|Thu
|Da
|-
!7th 7L1s
!LLLLLLsL
|Da
|Ro
|Nu
|Fa
|So
|Flu
|'''Tha'''
|'''Thu'''
|Da
|-
!8th 7L1s
!LLLLLLLs
|Da
|Ro
|Nu
|Fa
|So
|Flu
|Tha
|'''Do'''
|Da
|}
A similar table can be made for 7L8s, but it will lack the 1st and 15th modes.
== #8 (P8, P5/3) third-5th ==
* G = ^M2/vvm3 = 233¢ + c/3
* EU = v<sup>3</sup>m2 = 0¢
* ^ = (100¢ - 5c) / 3
MOS scales covered:
* 5 = 1L4s (for 4L1s use pergen #3, half-4th)
* 6 = 5L1s
* 11 = 5L6s
* 16 = 5L11s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
|-
!-15
!-14
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|Fra
|Nu
|Sho
|Fla
|Thu
|Fro
|Na
|Fu
|Flo
|Tha
|Du
|No
|Fa
|Su
|Tho
|'''Da'''
|Ru
|Fo
|Sa
|Lu
|Do
|Ra
|Mu
|So
|La
|Tu
|Ro
|Ma
|Pu
|Lo
|Ta
|-
|m2
|^m3
|vd5
|m6
|^m7
|vm2
|m3
|^4
|vm6
|m7
|^1
|vm3
|P4
|^5
|vm7
|'''P1'''
|^M2
|v4
|P5
|^M6
|v8
|M2
|^M3
|v5
|M6
|^M7
|vM2
|M3
|^A4
|vM6
|M7
|-
|Db
|^Eb
|vGb
|Ab
|^Bb
|vDb
|Eb
|^F
|vAb
|Bb
|^C
|vEb
|F
|^G
|vBb
|'''C'''
|^D
|vF
|G
|^A
|vC
|D
|^E
|vG
|A
|^B
|vD
|E
|^F#
|vA
|B
|}
{| class="wikitable center-all"
|+
1L4s MOS scales (L = ^^M2/vm3, s = ^M2/vvm3)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
!1st 1L4s
!ssssL
|Da
|Ru
|Fo
|Sa
|'''Lu'''
|Da
|-
!2nd 1L4s
!sssLs
|Da
|Ru
|Fo
|'''Sa'''
|'''Tho'''
|Da
|-
!3rd 1L4s
!ssLss
|Da
|Ru
|'''Fo'''
|'''Su'''
|Tho
|Da
|-
!4th 1L4s
!sLsss
|Da
|'''Ru'''
|'''Fa'''
|Su
|Tho
|Da
|-
!5th 1L4s
!Lssss
|Da
|'''No'''
|Fa
|Su
|Tho
|Da
|}
{| class="wikitable center-all"
|+
5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
|-
!1st 5L1s
!LLLLLs
|Da
|Ru
|Fo
|Sa
|Lu
|'''Do'''
|Da
|-
!2nd 5L1s
!LLLLsL
|Da
|Ru
|Fo
|Sa
|'''Lu'''
|'''Tho'''
|Da
|-
!3rd 5L1s
!LLLsLL
|Da
|Ru
|Fo
|'''Sa'''
|'''Su'''
|Tho
|Da
|-
!4th 5L1s
!LLsLLL
|Da
|Ru
|'''Fo'''
|'''Fa'''
|Su
|Tho
|Da
|-
!5th 5L1s
!LsLLLL
|Da
|'''Ru'''
|'''No'''
|Fa
|Su
|Tho
|Da
|-
!6th 5L1s
!sLLLLL
|Da
|'''Du'''
|No
|Fa
|Su
|Tho
|Da
|}
Similar tables can be made for every mode of 5L6s and 5L11s.
== #9 (P8, P11/3) third-11th ==
* G = ^4/vv5 = 567¢ - c/3
* EU = v<sup>3</sup>M2 = 0¢
* ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)
MOS scales covered:
* 5 = 2L3s
* 7 = 2L5s
* 9 = 2L7s
* 11 = 2L9s
* etc. up to 19 = 17L2s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
|-
!18
!...
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!...
!-18
|-
|Sha
|...
|Fla
|No
|Flu
|Na
|Tho
|Nu
|Tha
|Fo
|Thu
|Fa
|Do
|Fu
|'''Da'''
|So
|Du
|Sa
|Ro
|Su
|Ra
|Lo
|Ru
|La
|Mo
|Lu
|Ma
|...
|Pa
|-
|d5
|...
|m6
|vm3
|^m6
|m3
|vm7
|^m3
|m7
|v4
|^m7
|P4
|v8
|^4
|'''P1'''
|v5
|^1
|P5
|vM2
|^5
|M2
|vM6
|^M2
|M6
|vM3
|^M6
|M3
|...
|A4
|-
|Gb
|...
|Ab
|vEb
|^Ab
|Eb
|vBb
|^Eb
|Bb
|vF
|^Bb
|F
|vC
|^F
|'''C'''
|vG
|^C
|G
|vD
|^G
|D
|vA
|^D
|A
|vE
|^A
|E
|...
|F#
|}
{| class="wikitable center-all"
|+
2L7s MOS scales (L = ^m3/vv4, s = vvM2/^1)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
!1st 2L7s
!ssssLsssL
|Da
|Du
|Ro
|Ra
|'''Ru'''
|So
|Sa
|Su
|Lo
|Da
|-
!2nd 2L7s
!sssLssssL
|Da
|Du
|Ro
|Ra
|'''Fu'''
|So
|Sa
|Su
|'''Lo'''
|Da
|-
!3rd 2L7s
!sssLsssLs
|Da
|Du
|Ro
|'''Ra'''
|Fu
|So
|Sa
|Su
|'''Do'''
|Da
|-
!4th 2L7s
!ssLssssLs
|Da
|Du
|Ro
|'''Fa'''
|Fu
|So
|Sa
|'''Su'''
|Do
|Da
|-
!5th 2L7s
!ssLsssLss
|Da
|Du
|'''Ro'''
|Fa
|Fu
|So
|Sa
|'''Thu'''
|Do
|Da
|-
!6th 2L7s
!sLssssLss
|Da
|Du
|'''Fo'''
|Fa
|Fu
|So
|'''Sa'''
|Thu
|Do
|Da
|-
!7th 2L7s
!sLsssLsss
|Da
|'''Du'''
|Fo
|Fa
|Fu
|So
|'''Tha'''
|Thu
|Do
|Da
|-
!8th 2L7s
!LssssLsss
|Da
|'''Nu'''
|Fo
|Fa
|Fu
|'''So'''
|Tha
|Thu
|Do
|Da
|-
!9th 2L7s
!LsssLssss
|Da
|Nu
|Fo
|Fa
|Fu
|'''Tho'''
|Tha
|Thu
|Do
|Da
|}
When the 5th is anywhere near just, the L/s ratio is huge. The notes tend to cluster tightly together. This is why the L step is a 3rd or a 4th, and the s step is a 2nd or even a unison. Thus this 9-note scale never using all 7 degrees, but only 4 or 5 degrees.
== <nowiki>#</nowiki>16 (P8/4, P5) quarter-8ve ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2) = 300¢
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2) = 100¢ + c
* EU = ^<sup>4</sup>d2 = 0¢
* ^ = 3 '''⋅''' |c|
MOS scales covered:
* 8 = 4L4s (either solfege)
* 12 = 8L4s (solfege #1 only) or 4L8s (solfege #2 only)
* 16 = 12L4s (solfege #2 only) or 4L12s (solfege #2 only)
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |up
genchain
perspan = 1
!solfege
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|-
| colspan="9" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|-
!intervals
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|-
!notes
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|-
| colspan="9" |
|-
! rowspan="3" |down
genchain
perspan = -1
!solfege
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|-
!intervals
|v8
|v5
|vM2
|vM6
|vM3
|vM7
|vA4
|-
!notes
|vC
|vG
|vD
|vA
|vE
|vB
|vF#
|-
| colspan="9" |
|-
! rowspan="3" |dup/dud
genchain
perspan = ±2
!solfege
|Le
|Me
|Te
|Pe/Shi
|Fri
|Fli
|Ni
|-
!intervals
|vvM6
|vvM3
|vvM7
|vvA4/^^d5
|^^m2
|^^m6
|^^m3
|-
!notes
|vvA
|vvE
|vvB
|vvF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|}
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = vvA1/^^m2)
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |Nu's
genchain
perspan = 1
!solfege
|Do
|Fru
|Ro
|Nu
|Mo
|Fu
|Po
|-
!intervals
|v8
|^m2
|vM2
|^m3
|vM3
|^4
|vA4
|-
!notes
|vC
|^Db
|vD
|^Eb
|vE
|^F
|vF#
|-
| colspan="9" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Le
|Tha
|Te
|'''Da'''
|Fri
|Ra
|Ni
|-
!intervals
|vvM6
|m7
|vvM7
|'''P1'''
|^^m2
|M2
|^^m3
|-
!notes
|vvA
|Bb
|vvB
|'''C'''
|^^Db
|D
|^^Eb
|-
| colspan="9" |
|-
! rowspan="3" |Lo's
genchain
perspan = -1
!solfege
|Shu
|So
|Flu
|Lo
|Thu
|To
|Du
|-
!intervals
|^d5
|v5
|^m6
|vM6
|^m7
|vM7
|^1
|-
!notes
|^Gb
|vG
|^Ab
|vA
|^Bb
|vB
|^C
|-
| colspan="9" |
|-
! rowspan="3" |Sa's
genchain
perspan = ±2
!solfege
|Na
|Me
|Fa
|Pe/Shi
|Sa
|Fli
|La
|-
!intervals
|m3
|vvM3
|P4
|vvA4/^^d5
|P5
|^^m6
|M6
|-
!notes
|Eb
|vvE
|F
|vvF#/^^Gb
|G
|^^Ab
|A
|}
Note that solfege #1 doesn't work for 16-note MOS scales, because those require that P5 be < 700¢. So the outer two columns (genspan 3 or -3) aren't used much. Use solfege #2 for 16-note MOS scales.
{| class="wikitable center-all"
|+
4L4s MOS scales (L = vM2 , s = vvA1/^^m2) using solfege #1
if P5 > 5\8 = 750¢, swap L and s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!
!tritone
!
!6th
!7th
!8ve
|-
!1st 4L4s
!sL-sL-sL-sL
|Da
|'''Fri'''
|Nu
|'''Mo'''
|Pe/Shi
|'''Sa'''
|Lo
|'''Thu'''
|Da
|-
!2nd 4L4s
!Ls-Ls-Ls-Ls
|Da
|'''Ro'''
|Nu
|'''Fa'''
|Pe/Shi
|'''Flu'''
|Lo
|'''Te'''
|Da
|}
{| class="wikitable center-all"
|+
8L4s MOS scales (L = vvA1/^^m2, s = vvvA1/^m2) using solfege #1
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 8L4s
!LLs-LLs-LLs-LLs
|Da
|Fri
|'''Ra'''
|Nu
|Mo
|'''Fu'''
|Pe/Shi
|Sa
|'''Fli'''
|Lo
|Thu
|'''To'''
|Da
|-
!2nd 8L4s
!LsL-LsL-LsL-LsL
|Da
|'''Fri'''
|'''Ro'''
|Nu
|'''Mo'''
|'''Fa'''
|Pe/Shi
|'''Sa'''
|'''Flu'''
|Lo
|'''Thu'''
|'''Te'''
|Da
|-
!3rd 8L4s
!sLL-sLL-sLL-sLL
|Da
|'''Fru'''
|Ro
|Nu
|'''Me'''
|Fa
|Pe/Shi
|'''So'''
|Flu
|Lo
|'''Tha'''
|Te
|Da
|}
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |down
genchain
perspan = 1
!solfege
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
!intervals
|vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v1
|-
!notes
|vGb
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|-
| colspan="9" |
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|-
!intervals
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|-
!notes
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|-
| colspan="9" |
|-
! rowspan="3" |up
genchain
perspan = -1
!solfege
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|-
!intervals
|^8
|^5
|^M2
|^M6
|^M3
|^M7
|^A4
|-
!notes
|^C
|^G
|^D
|^A
|^E
|^B
|^F#
|-
| colspan="9" |
|-
! rowspan="3" |dup/dud
genchain
perspan = ±2
!solfege
|Li
|Mi
|Ti
|Pi/She
|Fre
|Fle
|Ne
|-
!intervals
|^^M6
|^^M3
|^^M7
|^^A4/vvd5
|vvm2
|vvm6
|vvm3
|-
!notes
|^^A
|^^E
|^^B
|^^F#/vvGb
|vvDb
|vvAb
|vvEb
|}
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = ^^A1/vvm2)
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |No's
genchain
perspan = 1
!solfege
|Du
|Fro
|Ru
|No
|Mu
|Fo
|Pu
|-
!intervals
|^8
|vm2
|^M2
|vm3
|^M3
|v4
|^A4
|-
!notes
|^C
|vDb
|^D
|vEb
|^E
|vF
|^F#
|-
| colspan="9" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Li
|Tha
|Ti
|'''Da'''
|Fre
|Ra
|Ne
|-
!intervals
|^^M6
|m7
|^^M7
|'''P1'''
|vvm2
|M2
|vvm3
|-
!notes
|^^A
|Bb
|^^B
|'''C'''
|vvDb
|D
|vvEb
|-
| colspan="9" |
|-
! rowspan="3" |Lu's
genchain
perspan = -1
!solfege
|Sho
|Su
|Flo
|Lu
|Tho
|Tu
|Do
|-
!intervals
|vd5
|^5
|vm6
|^M6
|vm7
|^M7
|v1
|-
!notes
|vGb
|^G
|vAb
|^A
|vBb
|^B
|vC
|-
| colspan="9" |
|-
! rowspan="3" |Sa's
genchain
perspan = ±2
!solfege
|Na
|Mi
|Fa
|Pi/She
|Sa
|Fle
|La
|-
!intervals
|m3
|^^M3
|P4
|^^A4/vvd5
|P5
|vvm6
|M6
|-
!notes
|Eb
|^^E
|F
|^^F#/vvGb
|G
|vvAb
|A
|}
{| class="wikitable center-all"
|+
4L4s MOS scales (L = ^M2, s = ^^A1/vvm2) using solfege #2
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!
!tritone
!
!6th
!7th
!8ve
|-
!1st 4L4s
!sL-sL-sL-sL
|Da
|'''Fre'''
|No
|'''Mu'''
|Pi/She
|'''Sa'''
|Lu
|'''Tho'''
|Da
|-
!2nd 4L4s
!Ls-Ls-Ls-Ls
|Da
|'''Ru'''
|No
|'''Fa'''
|Pi/She
|'''Flo'''
|Lu
|'''Ti'''
|Da
|}
{| class="wikitable center-all"
|+
4L8s MOS scales (L = ^<sup>3</sup>A1/vm2, s = ^^A1/vvm2) using solfege #2
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 8L4s
!ssL-ssL-ssL-ssL
|Da
|Fre
|'''Ra'''
|No
|Mu
|'''Fo'''
|Pi/She
|Sa
|'''Fle'''
|Lu
|Tho
|'''Tu'''
|Da
|-
!2nd 8L4s
!sLs-sLs-sLs-sLs
|Da
|'''Fre'''
|'''Ru'''
|No
|'''Mu'''
|'''Fa'''
|Pi/She
|'''Sa'''
|'''Flo'''
|Lu
|'''Tho'''
|'''Ti'''
|Da
|-
!3rd 8L4s
!Lss-Lss-Lss-Lss
|Da
|'''Fro'''
|Ru
|No
|'''Mi'''
|Fa
|Pi/She
|'''Su'''
|Flo
|Lu
|'''Tha'''
|Ti
|Da
|}
{| class="wikitable center-all"
|+
12L4s MOS scales (L = ^^A1/vvm2 = different consonant, s = ^1 = same consonant) using solfege #2
if P5 < 9\16 = 675¢, swap L and s for 4L12s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!
! colspan="2" |3rds
!
!4th
!tritone
!5th
!
! colspan="2" |6ths
!
!7th
!
!8ve
|-
!1st 12L4s
!LLLs-LLLs-LLLs-LLLs
|Da
|Fre
|Ra
|'''Ne'''
|No
|Mu
|Fo
|'''Pu'''
|Pi/She
|Sa
|Fle
|'''La'''
|Lu
|Tho
|Tu
|'''Do'''
|Da
|-
!2nd 12L4s
!LLsL-LLsL-LLsL-LLsL
|Da
|Fre
|'''Ra'''
|'''Ru'''
|No
|Mu
|'''Fo'''
|'''Fa'''
|Pi/She
|Sa
|'''Fle'''
|'''Flo'''
|Lu
|Tho
|'''Tu'''
|'''Ti'''
|Da
|-
!3rd 12L4s
!LsLL-LsLL-LsLL-LsLL
|Da
|'''Fre'''
|'''Fro'''
|Ru
|No
|'''Mu'''
|'''Mi'''
|Fa
|Pi/She
|'''Sa'''
|'''Su'''
|Flo
|Lu
|'''Tho'''
|'''Tha'''
|Ti
|Da
|-
!4th 12L4s
!sLLL-sLLL-sLLL-sLLL
|Da
|'''Du'''
|Fro
|Ru
|No
|'''Na'''
|Mi
|Fa
|Pi/She
|'''Sho'''
|Su
|Flo
|Lu
|'''Li'''
|Tha
|Ti
|Da
|}
== #17 (P8, P4/4) quarter-4th ==
* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1 = 125¢ - c/4
* EU's = ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, etc.
* ^ = 25¢ + 4.75c
* / = 50¢ - 2.5c
MOS scales covered:
* 8 = 1L7s
* 9 = 1L8s
* 10 = 9L1s (all but 2 modes)
* 11 = 10L1s (all but 4 modes) Sa must be > 3\5 = 720¢
* etc.
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
|-
!genspan
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
|-
!solfege
|Tha
|Lo
|Si
Fle
|Shu
|Fa
|Mo
|Ri
Ne
|Fru
|'''Da'''
|To
|Li
The
|Flu
|Sa
|Po
|Mi
Fe
|Nu
|Ra
|-
!intervals
|m7
|vM6
|/5
\m6
|^d5
|P4
|vM3
|/M2
\m3
|^m2
|'''P1'''
|vM7
|/M6
\m7
|^m6
|P5
|vA4
|/M3
\4
|^m3
|M2
|-
!notes
|Bb
|vA
|/G
\Ab
|^Gb
|F
|vE
|/D
\Eb
|^Db
|'''C'''
|vB
|/A
\Bb
|^Ab
|G
|vF#
|/E
\F
|^Eb
|D
|}
{| class="wikitable center-all"
|+
1L7s MOS scales (L = ^m3 = v/A2, s = ^m2 = v/A1)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!1st 1L7s
!Lsssssss
|Da
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!2nd 1L7s
!sLssssss
|Da
|'''Fru'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!3rd 1L7s
!ssLsssss
|Da
|Fru
|'''Ri/Ne'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!4th 1L7s
!sssLssss
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!5th 1L7s
!ssssLsss
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Flu'''
|Li/The
|To
|Da
|-
!6th 1L7s
!sssssLss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Li/The'''
|To
|Da
|-
!7th 1L7s
!ssssssLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''To'''
|Da
|-
!8th 1L7s
!sssssssL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|Da
|}
{| class="wikitable center-all"
|+
1L8s MOS scales (L = M2 = rhymes, s = ^m2 = v/A1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 1L8s
!Lssssssss
|Da
|'''Ra'''
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!2nd 1L8s
!sLsssssss
|Da
|'''Fru'''
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!3rd 1L8s
!ssLssssss
|Da
|Fru
|'''Ri/Ne'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!4th 1L8s
!sssLsssss
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!5th 1L8s
!ssssLssss
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!6th 1L8s
!sssssLsss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Flu'''
|Li/The
|To
|Da
|-
!7th 1L8s
!ssssssLss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''Li/The'''
|To
|Da
|-
!8th 1L8s
!sssssssLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|'''To'''
|Da
|-
!9th 1L8s
!ssssssssL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
9L1s MOS scales (L = ^m2 = v/A1, s = vA1 = ^\m2) Sa must be > 5\9 = 667¢
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!tritone
!5th
!6th
!
!7th
!8ve
|-
!1st 9L1s
!sLLLLLLLLL
|Da
|'''???'''
|Ra
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!2nd 9L1s
!LsLLLLLLLL
|Da
|'''Fru'''
|'''Ra'''
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!3rd 9L1s
!LLsLLLLLLL
|Da
|Fru
|'''Ri/Ne'''
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!4th 9L1s
!LLLsLLLLLL
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!5th 9L1s
!LLLLsLLLLL
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!6th 9L1s
!LLLLLsLLLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!7th 9L1s
!LLLLLLsLLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''Flu'''
|Li/The
|To
|Da
|-
!8th 9L1s
!LLLLLLLsLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|'''Li/The'''
|To
|Da
|-
!9th 9L1s
!LLLLLLLLsL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|'''Tha'''
|'''To'''
|Da
|-
!10th 9L1s
!LLLLLLLLLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|Tha
|'''???'''
|Da
|}
The first and last modes contain vA1=vC# and ^d8=^Cb respectively, but the solfege has no names for those.
== <nowiki>#</nowiki>18 (P8, P5/4) quarter-5th ==
* G = vM2 = ^<sup>3</sup>m2 = 175¢ + c/4
* EU = v<sup>4</sup>A1 = 0¢
* ^ = 25¢ + 1.75c
MOS scales covered:
* 7 = 6L1s
* 13 = 7L6s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!genspan
!-20
!...
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!...
!20
|-
!solfege
|Fra
|...
|Na
|Fo
|Shi
Se
|Flu
|Tha
|Do
|Fri
Re
|Nu
|Fa
|So
|Fli
Le
|Thu
|'''Da'''
|Ro
|Ni
Me
|Fu
|Sa
|Lo
|Thi
Te
|Du
|Ra
|Mo
|Fi
Pe
|Su
|La
|...
|Ta
|-
!intervals
|m2
|...
|m3
|v4
|~5
|^m6
|m7
|v8
|~2
|^m3
|P4
|v5
|~6
|^m7
|'''P1'''
|vM2
|~3
|^4
|P5
|vM6
|~7
|^1
|M2
|vM3
|~4
|^5
|M6
|...
|M7
|-
!notes
|Db
|...
|Eb
|vF
|^^Gb
vvG
|^Ab
|Bb
|vC
|^^Db
vvD
|^Eb
|F
|vG
|^^Ab
vvA
|^Bb
|'''C'''
|vD
|^^Eb
vvE
|^F
|G
|vA
|^^Bb
vvB
|^C
|D
|vE
|^^F
vvF#
|^G
|A
|...
|B
|}
{| class="wikitable center-all"
|+
6L1s MOS scales (L = vM2/^<sup>3</sup>m2, s = ~2) if P5 < 4\7, swap L & s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 6L1s
!LLLLLLs
|Da
|Ro
|Ni/Me
|Fu
|Sa
|Lo
|'''Thi/Te'''
|Da
|-
!2nd 6L1s
!LLLLLsL
|Da
|Ro
|Ni/Me
|Fu
|Sa
|'''Lo'''
|'''Thu'''
|Da
|-
!3rd 6L1s
!LLLLsLL
|Da
|Ro
|Ni/Me
|Fu
|'''Sa'''
|'''Fli/Le'''
|Thu
|Da
|-
!4th 6L1s
!LLLsLLL
|Da
|Ro
|Ni/Me
|'''Fu'''
|'''So'''
|Fli/Le
|Thu
|Da
|-
!5th 6L1s
!LLsLLLL
|Da
|Ro
|'''Ni/Me'''
|'''Fa'''
|So
|Fli/Le
|Thu
|Da
|-
!6th 6L1s
!LsLLLLL
|Da
|'''Ro'''
|'''Nu'''
|Fa
|So
|Fli/Le
|Thu
|Da
|-
!7th 6L1s
!sLLLLLL
|Da
|'''Fri/Re'''
|Nu
|Fa
|So
|Fli/Le
|Thu
|Da
|}
== <nowiki>#</nowiki>19 (P8, P11/4) quarter-11th ==
* G = ^M3 = v<sup>3</sup>4 = v\4 = v/d4 = ^//m3 = 425¢ - c/4
* EU's = v<sup>4</sup>dd3, \\A1, vv\m2, vv/d2, etc.
* ^ = 25¢ - 4.25c
* / = 50¢ + 3.5c
MOS scales covered:
* 5 = 3L2s
* 8 = 3L5s
* 11 = 3L8s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
|-
!genspan
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
|-
!solfege
|Shi
Se
|Ru
|Tha
|Sho
|Fri
Re
|Lu
|Fa
|Fro
|Fli
Le
|Mu
|'''Da'''
|Flo
|Ni
Me
|Tu
|Sa
|No
|Thi
Te
|Pu
|Ra
|Tho
|Fi
Pe
|-
!intervals
|~5
|^M2
|m7
|vd5
|~2
|^M6
|P4
|vm2
|~6
|^M3
|'''P1'''
|vm6
|~3
|^M7
|P5
|vm3
|~7
|^A4
|M2
|vm7
|~4
|-
!notes
|/Gb
\G
|^D
|Bb
|vGb
|/Db
\D
|^A
|F
|vDb
|/Ab
\A
|^E
|'''C'''
|vAb
|/Eb
\E
|^B
|G
|vEb
|/Bb
\B
|^F#
|D
|vBb
|/F
\F#
|}
{| class="wikitable center-all"
|+
3L2s MOS scales (L = ~3 = ^^A2 = vvd4, s = vm2 = ^/1)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
!1st 3L2s
!LLsLs
|Da
|Ni/Me
|'''Sa'''
|Flo
|Tu
|Da
|-
!2nd 3L2s
!LsLLs
|Da
|Ni/Me
|'''Mu'''
|Flo
|'''Tu'''
|Da
|-
!3rd 3L2s
!LsLsL
|Da
|'''Ni/Me'''
|Mu
|Flo
|'''Fli/Le'''
|Da
|-
!4th 3L2s
!sLLsL
|Da
|'''Fro'''
|Mu
|'''Flo'''
|Fli/Le
|Da
|-
!5th 3L2s
!sLsLL
|Da
|Fro
|Mu
|'''Fa'''
|Fli/Le
|Da
|}
{| class="wikitable center-all"
|+
3L5s MOS scales (L = vm3 = ^/M2, s = vm2 = ^/1)
![[Genchain mode numbering|GMN]] name
!scale
!plain
!down
!mid
!up
!plain
!down
!mid
!up
!plain
|-
!1st 3L5s
!LsLssLss
|Da
|No
|Ni/Me
|'''Pu'''
|Sa
|Flo
|Thi/Te
|Tu
|Da
|-
!2nd 3L5s
!LssLsLss
|Da
|No
|Ni/Me
|'''Mu'''
|Sa
|Flo
|'''Thi/Te'''
|Tu
|Da
|-
!3rd 3L5s
!LssLssLs
|Da
|'''No'''
|Ni/Me
|Mu
|Sa
|Flo
|'''Fli/Le'''
|Tu
|Da
|-
!4th 3L5s
!sLsLssLs
|Da
|'''Fro'''
|Ni/Me
|Mu
|'''Sa'''
|Flo
|Fli/Le
|Tu
|Da
|-
!5th 3L5s
!sLssLsLs
|Da
|Fro
|Ni/Me
|Mu
|'''Fa'''
|Flo
|Fli/Le
|'''Tu'''
|Da
|-
!6th 3L5s
!sLssLssL
|Da
|Fro
|'''Ni/Me'''
|Mu
|Fa
|Flo
|Fli/Le
|'''Lu'''
|Da
|-
!7th 3L5s
!ssLsLssL
|Da
|Fro
|'''Fri/Re'''
|Mu
|Fa
|'''Flo'''
|Fli/Le
|Lu
|Da
|-
!8th 3L5s
!ssLssLsL
|Da
|Fro
|Fri/Re
|Mu
|Fa
|'''Sho'''
|Fli/Le
|Lu
|Da
|}
{| class="wikitable center-all"
|+
3L8s MOS scales (L = M2 = rhymes, s = vm2 = ^/1 = ^\A1 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!
!
!4th
!5th
!
!
!
!7th
!8ve
|-
!1st 3L8s
!LssLsssLsss
|Da
|Ra
|No
|Ni/Me
|'''Fi/Pe'''
|Pu
|Sa
|Flo
|Tho
|Thi/Te
|Tu
|Da
|-
!2nd 3L8s
!LsssLssLsss
|Da
|Ra
|No
|Ni/Me
|'''Mu'''
|Pu
|Sa
|Flo
|'''Tho'''
|Thi/Te
|Tu
|Da
|-
!3rd 3L8s
!LsssLsssLss
|Da
|'''Ra'''
|No
|Ni/Me
|Mu
|Pu
|Sa
|Flo
|'''Fli/Le'''
|Thi/Te
|Tu
|Da
|-
!4th 3L8s
!sLssLsssLss
|Da
|'''Fro'''
|No
|Ni/Me
|Mu
|'''Pu'''
|Sa
|Flo
|Fli/Le
|Thi/Te
|Tu
|Da
|-
!5th 3L8s
!sLsssLssLss
|Da
|Fro
|No
|Ni/Me
|Mu
|'''Fa'''
|Sa
|Flo
|Fli/Le
|'''Thi/Te'''
|Tu
|Da
|-
!6th 3L8s
!sLsssLsssLs
|Da
|Fro
|'''No'''
|Ni/Me
|Mu
|Fa
|Sa
|Flo
|Fli/Le
|'''Lu'''
|Tu
|Da
|-
!7th 3L8s
!ssLssLsssLs
|Da
|Fro
|'''Fri/Re'''
|Ni/Me
|Mu
|Fa
|'''Sa'''
|Flo
|Fli/Le
|Lu
|Tu
|Da
|-
!8th 3L8s
!ssLsssLssLs
|Da
|Fro
|Fri/Re
|Ni/Me
|Mu
|Fa
|'''Sho'''
|Flo
|Fli/Le
|Lu
|'''Tu'''
|Da
|-
!9th 3L8s
!ssLsssLsssL
|Da
|Fro
|Fri/Re
|'''Ni/Me'''
|Mu
|Fa
|Sho
|Flo
|Fli/Le
|Lu
|'''Tha'''
|Da
|-
!10th 3L8s
!sssLssLsssL
|Da
|Fro
|Fri/Re
|'''Ru'''
|Mu
|Fa
|Sho
|'''Flo'''
|Fli/Le
|Lu
|Tha
|Da
|-
!11th 3L8s
!sssLsssLssL
|Da
|Fro
|Fri/Re
|Ru
|Mu
|Fa
|Sho
|'''Shi/Se'''
|Fli/Le
|Lu
|Tha
|Da
|}
== <nowiki>#</nowiki>20 (P8, P12/4) quarter-12th (incomplete) ==
* G = v4 = ^<sup>3</sup>M3 = 475¢ + c/4
* EU = v<sup>4</sup>m2 = 0¢
* ^ = 25¢ - 1.25c
MOS scales covered:
* 5 = 3L2s
* 7 = 5L2s (if P5 > 3\5 = 720¢)
* 8 = 5L3s
* 13 = 5L8s
* 18 = 5L13s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!-17
!...
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!...
!17
|-
|Nu
|...
|Na
|Flo
|Di
Fre
|Fu
|Tha
|No
|Si
Fle
|Du
|Fa
|Tho
|Ri
Ne
|Su
|'''Da'''
|Fo
|Li
The
|Ru
|Sa
|Do
|Mi
Fe
|Lu
|Ra
|So
|Ti
De
|Mu
|La
|...
|Lo
|-
|^m3
|...
|m3
|vm6
|^^1
vvm2
|^4
|m7
|vm3
|^^5
vvm6
|^1
|P4
|vm7
|^^M2
vvm3
|^5
|'''P1'''
|v4
|^^M6
vvm7
|^M2
|P5
|v8
|^^M3
vv4
|^M6
|M2
|v5
|^^M7
vv8
|^M3
|M6
|...
|vM6
|-
|^Eb
|...
|Eb
|vAb
|^^C
vvDb
|^F
|Bb
|vEb
|^^G
vvAb
|^C
|F
|vBb
|^^D
vvEb
|^G
|'''C'''
|vF
|^^A
vvBb
|^D
|G
|vC
|^^E
vvF
|^A
|D
|vG
|^^B
vvC
|^E
|A
|...
|vA
|}
== <nowiki>#</nowiki>22 (P8/2, M2/4) half-8ve quarter-tone ==
* P = ^^4 = vv5 = 600¢
* G = ^1 = v<sup>3</sup>M2 = 50¢ + c/2
* EU = v<sup>4</sup>M2 = 0¢
* ^ = 50¢ + c/2
MOS scales covered:
* 16 = 2L14s
* 18 = 2L16s
* 20 = 2L18s
* 22 = 2L20s
* 24 = 2L22s or 22L2s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
|
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
! rowspan="3" |Da's
gen-
chain
per-span = 0
|Shu
|Shi
Fle
|Flo
|Fla
|Flu
|Fli
The
|Tho
|Tha
|Thu
|Thi
De
|Do
|'''Da'''
|Du
|Di
Re
|Ro
|Ra
|Ru
|Ri
Me
|Mo
|Ma
|Mu
|Mi
Pe
|Po
|-
|^d5
|^^d5
vvm6
|vm6
|m6
|^m6
|^^m6
vvm7
|vm7
|m7
|^m7
|^^m7
vv8
|v8
|'''P1'''
|^1
|^^1
vvM2
|vM2
|M2
|^M2
|^^M2
vvM3
|vM3
|M3
|^M3
|^^M3
vvA4
|vA4
|-
|^Gb
|^^Gb
vvAb
|vAb
|Ab
|^Ab
|^^Ab
vvBb
|vBb
|Bb
|^Bb
|^^Bb
vvC
|vC
|'''C'''
|^C
|^^C
vvD
|vD
|D
|^D
|^^D
vvE
|vE
|E
|^E
|^^E
vvF#
|vF#
|-
| colspan="24" |
|-
! rowspan="3" |Sa's
gen-
chain
per-span = ±1
|Fro
|Fra
|Fru
|Fri
Ne
|No
|Na
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|La
|Lu
|Li
Te
|To
|Ta
|Tu
|-
|vm2
|m2
|^m2
|^^m2
vvm3
|vm3
|m3
|^m3
|^^m3
vv4
|v4
|P4
|^4
|^^4
vv5
|v5
|P5
|^5
|^^5
vvM6
|vM6
|M6
|^M6
|^^M6
vvM7
|vM7
|M7
|^M7
|-
|vDb
|Db
|^Db
|^^Db
vvEb
|vEb
|Eb
|^Eb
|^^Eb
vvF
|vF
|F
|^F
|^^F
vvG
|vG
|G
|^G
|^^G
vvA
|vA
|A
|^A
|^^A
vvB
|vB
|B
|^B
|}
{| class="wikitable center-all"
|+
2L20s MOS scales (L = m2 =  rhymes, s = ^1/v<sup>3</sup>M2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
!1st 2L20s
!ssssssssssL x2
|Da
|Du
|Di
Re
|Ro
|Ra
|Ru
|Ri
Me
|Mo
|Ma
|Mu
|'''Mi'''
'''Pe'''
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|La
|Lu
|Li
Te
|To
|'''Ta'''
|Da
|-
!2nd 2L20s
!sssssssssLs x2
|Da
|Du
|Di
Re
|Ro
|Ra
|Ru
|Ri
Me
|Mo
|Ma
|'''Mu'''
|'''Fu'''
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|La
|Lu
|Li
Te
|'''To'''
|'''Do'''
|Da
|-
!3rd 2L20s
!ssssssssLss x2
|Da
|Du
|Di
Re
|Ro
|Ra
|Ru
|Ri
Me
|Mo
|'''Ma'''
|'''Fa'''
|Fu
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|La
|Lu
|'''Li'''
'''Te'''
|'''Thi'''
'''De'''
|Do
|Da
|-
!4th 2L20s
!sssssssLsss x2
|Da
|Du
|Di
Re
|Ro
|Ra
|Ru
|Ri
Me
|'''Mo'''
|'''Fo'''
|Fa
|Fu
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|La
|'''Lu'''
|'''Thu'''
|Thi
De
|Do
|Da
|-
!5th 2L20s
!ssssssLssss x2
|Da
|Du
|Di
Re
|Ro
|Ra
|Ru
|'''Ri'''
'''Me'''
|'''Ni'''
'''Fe'''
|Fo
|Fa
|Fu
|Fi
Se
|So
|Sa
|Su
|Si
Le
|Lo
|'''La'''
|'''Tha'''
|Thu
|Thi
De
|Do
|Da
|-
!6th 2L20s
!sssssLsssss x2
|Da
|Du
|Di
Re
|Ro
|Ra
|'''Ru'''
|'''Nu'''
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|So
|Sa
|Su
|Si
Le
|'''Lo'''
|'''Tho'''
|Tha
|Thu
|Thi
De
|Do
|Da
|-
!7th 2L20s
!ssssLssssss x2
|Da
|Du
|Di
Re
|Ro
|'''Ra'''
|'''Na'''
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|So
|Sa
|Su
|'''Si'''
'''Le'''
|'''Fli'''
'''The'''
|Tho
|Tha
|Thu
|Thi
De
|Do
|Da
|-
!8th 2L20s
!sssLsssssss x2
|Da
|Du
|Di
Re
|'''Ro'''
|'''No'''
|Na
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|So
|Sa
|'''Su'''
|'''Flu'''
|Fli
The
|Tho
|Tha
|Thu
|Thi
De
|Do
|Da
|-
!9th 2L20s
!ssLssssssss x2
|Da
|Du
|'''Di'''
'''Re'''
|'''Fri'''
'''Ne'''
|No
|Na
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|So
|'''Sa'''
|'''Fla'''
|Flu
|Fli
The
|Tho
|Tha
|Thu
|Thi
De
|Do
|Da
|-
!10th 2L20s
!sLsssssssss x2
|Da
|'''Du'''
|'''Fru'''
|Fri
Ne
|No
|Na
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|'''So'''
|'''Flo'''
|Fla
|Flu
|Fli
The
|Tho
|Tha
|Thu
|Thi
De
|Do
|Da
|-
!11th 2L20s
!Lssssssssss x2
|Da
|'''Fra'''
|Fru
|Fri
Ne
|No
|Na
|Nu
|Ni
Fe
|Fo
|Fa
|Fu
|Fi
Se
|'''Shi'''
'''Fle'''
|Flo
|Fla
|Flu
|Fli
The
|Tho
|Tha
|Thu
|Thi
De
|Do
|Da
|}
== <nowiki>#</nowiki>33 (P8/5, P5) fifth-8ve ==
If P5 > 3\5 = 720¢, swap up with down, and dup with dud, to get solfege #2.
* P = ^^M2 = v<sup>3</sup>m3 = 240¢
* G = P5 = 700¢ + c '''<u>or</u>''' ^1 = v<sup>4</sup>m2 = 20¢ - c
* EU = v<sup>5</sup>m2 = 0¢
* ^ = 20¢ - c
MOS scales covered:
* 10 = 5L5s
* 15 = 5L10s (and 10L5s if P5 < 8\15 = 640¢)
* 20 = 5L15s (and 15L5s if P5 < 11\20 = 660¢)
* 25 = 5L20s (and 20L5s if P5 < 14\25 = 672¢)
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
|-
! rowspan="3" |down
genchain
perspan = 2
!solfege
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|-
!intervals
|vm2
|vm6
|vm3
|vm7
|v4
|v8
|v5
|vM2
|vM6
|-
!notes
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|vG
|vD
|vA
|-
| colspan="10" |
|
|-
! rowspan="3" |dup
genchain
perspan = 1
!solfege
|Thi
|Fi
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|-
!intervals
|^^m7
|^^4
|^^1
|^^5
|^^M2
|^^M6
|^^M3
|^^M7
|^^A4
|-
!notes
|^^Bb
|^^F
|^^C
|^^G
|^^D
|^^A
|^^E
|^^B
|^^F#
|-
| colspan="10" |
|
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|-
!intervals
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|-
!notes
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|-
| colspan="10" |
|
|-
! rowspan="3" |dud
genchain
perspan = -1
!solfege
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|Se
|Re
|-
!intervals
|vvd5
|vvm2
|vvm6
|vvm3
|vvm7
|vv4
|vv8
|vv5
|vvM2
|-
!notes
|vvGb
|vvDb
|vvAb
|vvEb
|vvBb
|vvF
|vvC
|vvG
|vvD
|-
| colspan="10" |
|
|-
! rowspan="3" |up
genchain
perspan = -2
!solfege
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|-
!intervals
|^m3
|^m7
|^4
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|-
!notes
|^Eb
|^Bb
|^F
|^C
|^G
|^D
|^A
|^E
|^B
|}
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = ^1)
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
|-
! rowspan="3" |Fa's
genchain
perspan = 2
!solfege
|She
|Fi
|Fu
|Fa
|Fo
|Fe
|Mi
|Mu
|Ma
|-
!intervals
|vvd5
|^^4
|^4
|P4
|v4
|vv4
|^^M3
|^M3
|M3
|-
!notes
|vvGb
|^^F
|^F
|F
|vF
|vvF
|^^E
|^E
|E
|-
| colspan="11" |
|-
! rowspan="3" |Ra's
genchain
perspan = 1
!solfege
|Nu
|Na
|No
|Ne
|Ri
|Ru
|Ra
|Ro
|Re
|-
!intervals
|^m3
|m3
|vm3
|vvm3
|^^M2
|^M2
|M2
|vM2
|vvM2
|-
!notes
|^Eb
|Eb
|vEb
|vvEb
|^^D
|^D
|D
|vD
|vvD
|-
| colspan="11" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Fro
|Fre
|Di
|Du
|'''Da'''
|Do
|De
|Ti
|Tu
|-
!intervals
|vm2
|vvm2
|^^1
|^1
|'''P1'''
|v8
|vv8
|^^M7
|^M7
|-
!notes
|vDb
|vvDb
|^^C
|^C
|'''C'''
|vC
|vvC
|^^B
|^B
|-
| colspan="11" |
|-
! rowspan="3" |Tha's
genchain
perspan = -1
!solfege
|Thi
|Thu
|Tha
|Tho
|The
|Li
|Lu
|La
|Lo
|-
!intervals
|^^m7
|^m7
|m7
|vm7
|vvm7
|^^M6
|^M6
|M6
|vM6
|-
!notes
|^^Bb
|^Bb
|Bb
|vBb
|vvBb
|^^A
|^A
|A
|vA
|-
| colspan="11" |
|-
! rowspan="3" |Sa's
genchain
perspan = -2
!solfege
|Fla
|Flo
|Fle
|Si
|Su
|Sa
|So
|Se
|Pi
|-
!intervals
|m6
|vm6
|vvm6
|^^5
|^5
|P5
|v5
|vv5
|^^A4
|-
!notes
|Ab
|vAb
|vvAb
|^^G
|^G
|G
|vG
|vvG
|^^F#
|}
{| class="wikitable center-all"
|+
5L5s MOS scales (L = ^M2/v<sup>4</sup>m3, s = ^1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!
!4th
!
!5th
!
!7th
!
!8ve
|-
!1st 5L5s
!Ls-Ls-Ls-Ls-Ls
|Da
|'''Ru'''
|Ri
|'''Fe'''
|Fo
|'''Sa'''
|Su
|'''Li'''
|The
|'''Do'''
|Da
|-
!2nd 5L5s
!sL-sL-sL-sL-sL
|Da
|'''Du'''
|Ri
|'''Ne'''
|Fo
|'''Fa'''
|Su
|'''Si'''
|The
|'''Tho'''
|Da
|}
{| class="wikitable center-all"
|+
5L10s MOS scales (L = M2 = rhymes, s = ^1/v<sup>4</sup>m2 = no rhyme)
if P5 < 8\15 = 640¢, swap L and s to get 10L5s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!
!2nd
!3rd
!
!4th
!
!
!5th
!
!6th
!7th
!
!
!8ve
|-
!1st 5L10s
!Lss-Lss-Lss-Lss-Lss
|Da
|'''Ra'''
|Ru
|Ri
|'''Mi'''
|Fe
|Fo
|'''So'''
|Sa
|Su
|'''Lu'''
|Li
|The
|'''De'''
|Do
|Da
|-
!2nd 5L10s
!sLs-sLs-sLs-sLs-sLs
|Da
|'''Du'''
|'''Ru'''
|Ri
|'''Ne'''
|'''Fe'''
|Fo
|'''Fa'''
|'''Sa'''
|Su
|'''Si'''
|'''Li'''
|The
|'''Tho'''
|'''Do'''
|Da
|-
!3rd 5L10s
!ssL-ssL-ssL-ssL-ssL
|Da
|Du
|'''Di'''
|Ri
|Ne
|'''No'''
|Fo
|Fa
|'''Fu'''
|Su
|Si
|'''Fle'''
|The
|Tho
|'''Tha'''
|Da
|}
== <nowiki>#</nowiki>34 (P8, P4/5) fifth-4th ==
* G = ^^m2 = v<sup>3</sup>A1 = 100¢ - c/5
* EU = ^<sup>5</sup>d2 = 0¢
* ^ = 2.4c
MOS scales covered:
* 10 = 1L9s
* 11 = 1L10s
* 12 = 1L11s (all but 2 modes)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!genspan
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
|-
!solfege
|Tha
|Le
|Flu
|So
|Shi
|Fa
|Me
|Nu
|Ro
|Fri
|'''Da'''
|Te
|Thu
|Lo
|Fli
|Sa
|Pe
|Fu
|Mo
|Ni
|Ra
|-
!intervals
|m7
|vvM6
|^m6
|v5
|^^d5
|P4
|vvM3
|^m3
|vM2
|^^m2
|'''P1'''
|vvM7
|^m7
|vM6
|^^m6
|P5
|vvA4
|^4
|vM3
|^^m3
|M2
|-
!notes
|Bb
|vvA
|^Ab
|vG
|^^Gb
|F
|vvE
|^Eb
|vD
|^^Db
|'''C'''
|vvB
|^Bb
|vA
|^^Ab
|G
|vvF#
|^F
|vE
|^^Eb
|D
|}
{| class="wikitable center-all"
|+
1L9s MOS scales (L = ^^m3/v<sup>3</sup>A2, s = ^^m2/v<sup>3</sup>A1)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
!1st 1L9s
!Lsssssssss
|Da
|'''Ni'''
|Mo
|Fu
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!2nd 1L9s
!sLssssssss
|Da
|'''Fri'''
|'''Mo'''
|Fu
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!3rd 1L9s
!ssLsssssss
|Da
|Fri
|'''Ro'''
|'''Fu'''
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!4th 1L9s
!sssLssssss
|Da
|Fri
|Ro
|'''Nu'''
|'''Pe'''
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!5th 1L9s
!ssssLsssss
|Da
|Fri
|Ro
|Nu
|'''Me'''
|'''Sa'''
|Fli
|Lo
|Thu
|Te
|Da
|-
!6th 1L9s
!sssssLssss
|Da
|Fri
|Ro
|Nu
|Me
|'''Fa'''
|'''Fli'''
|Lo
|Thu
|Te
|Da
|-
!7th 1L9s
!ssssssLsss
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|'''Shi'''
|'''Lo'''
|Thu
|Te
|Da
|-
!8th 1L9s
!sssssssLss
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|'''So'''
|'''Thu'''
|Te
|Da
|-
!9th 1L9s
!ssssssssLs
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|So
|'''Flu'''
|'''Te'''
|Da
|-
!10th 1L9s
!sssssssssL
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|So
|Flu
|'''Le'''
|Da
|}
{| class="wikitable center-all"
|+
1L10s MOS scales (L = M2 = rhymes, s = ^^m2/v<sup>3</sup>A1 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!4th
!5th
!
!6th
!
!7th
!8ve
|-
!1st 1L10s
!Lssssssssss
|Da
|'''Ra'''
|Ni
|Mo
|Fu
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!2nd 1L10s
!sLsssssssss
|Da
|'''Fri'''
|'''Ni'''
|Mo
|Fu
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!3rd 1L10s
!ssLssssssss
|Da
|Fri
|'''Ro'''
|'''Mo'''
|Fu
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!4th 1L10s
!sssLsssssss
|Da
|Fri
|Ro
|'''Nu'''
|'''Fu'''
|Pe
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!5th 1L10s
!ssssLssssss
|Da
|Fri
|Ro
|Nu
|'''Me'''
|'''Pe'''
|Sa
|Fli
|Lo
|Thu
|Te
|Da
|-
!6th 1L10s
!sssssLsssss
|Da
|Fri
|Ro
|Nu
|Me
|'''Fa'''
|'''Sa'''
|Fli
|Lo
|Thu
|Te
|Da
|-
!7th 1L10s
!ssssssLssss
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|'''Shi'''
|'''Fli'''
|Lo
|Thu
|Te
|Da
|-
!8th 1L10s
!sssssssLsss
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|'''So'''
|'''Lo'''
|Thu
|Te
|Da
|-
!9th 1L10s
!ssssssssLss
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|So
|'''Flu'''
|'''Thu'''
|Te
|Da
|-
!10th 1L10s
!sssssssssLs
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|So
|Flu
|'''Le'''
|'''Te'''
|Da
|-
!11th 1L10s
!ssssssssssL
|Da
|Fri
|Ro
|Nu
|Me
|Fa
|Shi
|So
|Flu
|Le
|'''Tha'''
|Da
|}
== <nowiki>#</nowiki>35 (P8, P5/5) fifth-5th ==
* G = vM2 = ^<sup>4</sup>d1 = 140¢ + c/5
* EU = v<sup>5</sup>A2 = 0¢
* ^ = 60¢ + 1.8c
MOS scales covered:
* 8 = 1L7s
* 9 = 8L1s (and 1L8s if P5 < 5\9 = 667¢)
* 10 = 9L1s if P5 <  5\9 = 667¢
* 17 = 9L8s (and 8L9s if P5 > 10/17 = 706¢)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!genspan
!-16
!...
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!...
!16
|-
!solfege
|Fru
|...
|Tha
|Do
|Re
|Fri
|Nu
|Fa
|So
|Le
|Fli
|Thu
|'''Da'''
|Ro
|Me
|Ni
|Fu
|Sa
|Lo
|Te
|Thi
|Du
|Ra
|...
|To
|-
!intervals
|^m2
|...
|m7
|v8
|vvM2
|^^m2
|^m3
|P4
|v5
|vvM6
|^^m6
|^m7
|'''P1'''
|vM2
|vvM3
|^^m3
|^4
|P5
|vM6
|vvM7
|^^m7
|^1
|M2
|...
|vM7
|-
!notes
|^Db
|...
|Bb
|vC
|vvD
|^^Db
|^Eb
|F
|vG
|vvA
|^^Ab
|^Bb
|'''C'''
|vD
|vvE
|^^Eb
|^F
|G
|vA
|vvB
|^^Bb
|^C
|D
|...
|vB
|}
{| class="wikitable center-all"
|+
1L7s MOS scales (L = ^^m2/v<sup>3</sup>M3, s = vM2/^<sup>4</sup>d1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!
!tritone
!
!6th
!7th
!8ve
|-
!1st 1L7s
!sssssssL
|Da
|Ro
|Me
|Ni
|Fu
|Sa
|Lo
|'''Te'''
|Da
|-
!2nd 1L7s
!ssssssLs
|Da
|Ro
|Me
|Ni
|Fu
|Sa
|'''Lo'''
|'''Thu'''
|Da
|-
!3rd 1L7s
!sssssLss
|Da
|Ro
|Me
|Ni
|Fu
|'''Sa'''
|'''Fli'''
|Thu
|Da
|-
!4th 1L7s
!ssssLsss
|Da
|Ro
|Me
|Ni
|'''Fu'''
|'''Le'''
|Fli
|Thu
|Da
|-
!5th 1L7s
!sssLssss
|Da
|Ro
|Me
|'''Ni'''
|'''So'''
|Le
|Fli
|Thu
|Da
|-
!6th 1L7s
!ssLsssss
|Da
|Ro
|'''Me'''
|'''Fa'''
|So
|Le
|Fli
|Thu
|Da
|-
!7th 1L7s
!sLssssss
|Da
|'''Ro'''
|'''Nu'''
|Fa
|So
|Le
|Fli
|Thu
|Da
|-
!8th 1L7s
!Lsssssss
|Da
|'''Fri'''
|Nu
|Fa
|So
|Le
|Fli
|Thu
|Da
|}
{| class="wikitable center-all"
|+
8L1s MOS scales (L = vM2/^<sup>4</sup>d1, s = vvM2/^<sup>3</sup>d1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 8L1s
!LLLLLLLLs
|Da
|Ro
|Me
|Ni
|Fu
|Sa
|Lo
|Te
|'''Thi'''
|Da
|-
!2nd 8L1s
!LLLLLLLsL
|Da
|Ro
|Me
|Ni
|Fu
|Sa
|Lo
|'''Te'''
|'''Thu'''
|Da
|-
!3rd 8L1s
!LLLLLLsLL
|Da
|Ro
|Me
|Ni
|Fu
|Sa
|'''Lo'''
|'''Fli'''
|Thu
|Da
|-
!4th 8L1s
!LLLLLsLLL
|Da
|Ro
|Me
|Ni
|Fu
|'''Sa'''
|'''Le'''
|Fli
|Thu
|Da
|-
!5th 8L1s
!LLLLsLLLL
|Da
|Ro
|Me
|Ni
|'''Fu'''
|'''So'''
|Le
|Fli
|Thu
|Da
|-
!6th 8L1s
!LLLsLLLLL
|Da
|Ro
|Me
|'''Ni'''
|'''Fa'''
|So
|Le
|Fli
|Thu
|Da
|-
!7th 8L1s
!LLsLLLLLL
|Da
|Ro
|'''Me'''
|'''Nu'''
|Fa
|So
|Le
|Fli
|Thu
|Da
|-
!8th 8L1s
!LsLLLLLLL
|Da
|'''Ro'''
|'''Fri'''
|Nu
|Fa
|So
|Le
|Fli
|Thu
|Da
|-
!9th 8L1s
!sLLLLLLLL
|Da
|'''Re'''
|Fri
|Nu
|Fa
|So
|Le
|Fli
|Thu
|Da
|}
== <nowiki>#</nowiki>36 (P8, P11/5) fifth-11th ==
This pergen can be thought of as "half-down5th".
* G = ^^m3 = v<sup>3</sup>M3 = 340¢ - c/5
* EU = v<sup>5</sup>A1 = 0¢
* ^ = 20¢ + 1.4c
MOS scales covered:
* 7 = 4L3s if P5 > 4\7 = 686¢ (for 3L4s use half-5th solfege)
* 11 = 7L4s
* 18 = 7L11s and 11L7s
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!genspan
!-20
!...
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!...
!-20
|-
!solfege
|Fla
|...
|Tha
|Se
|Nu
|Do
|Fli
|Fa
|Re
|Thu
|So
|Ni
|'''Da'''
|Le
|Fu
|Ro
|Thi
|Sa
|Me
|Du
|Lo
|Fi
|Ra
|...
|Ma
|-
!intervals
|m6
|...
|m7
|^~5
|^m3
|v8
|v~6
|P4
|^~2
|^m7
|v5
|v~3
|'''P1'''
|^~6
|^4
|vM2
|v~7
|P5
|^~2
|^1
|vM6
|v~4
|M2
|...
|M3
|-
!notes
|Ab
|...
|Bb
|vvG
|^Eb
|vC
|^^Ab
|F
|vvD
|^Bb
|vG
|^^Eb
|'''C'''
|vvA
|^F
|vD
|^^Bb
|G
|vvE
|^C
|vA
|^^F
|D
|...
|E
|}
{| class="wikitable center-all"
|+
4L3s MOS scales (L = vM2 = ^<sup>4</sup>m2, s = vvM2 = ^<sup>3</sup>m2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 4L3s
!LLsLsLs
|Da
|Ro
|'''Me'''
|Fu
|Sa
|Le
|Thi
|Da
|-
!2nd 4L3s
!LsLLsLs
|Da
|Ro
|'''Ni'''
|Fu
|'''Sa'''
|Le
|Thi
|Da
|-
!3rd 4L3s
!LsLsLLs
|Da
|Ro
|Ni
|Fu
|'''So'''
|Le
|'''Thi'''
|Da
|-
!4th 4L3s
!LsLsLsL
|Da
|'''Ro'''
|Ni
|Fu
|So
|Le
|'''Thu'''
|Da
|-
!5th 4L3s
!sLLsLsL
|Da
|'''Re'''
|Ni
|'''Fu'''
|So
|Le
|Thu
|Da
|-
!6th 4L3s
!sLsLLsL
|Da
|Re
|Ni
|'''Fa'''
|So
|'''Le'''
|Thu
|Da
|-
!7th 4L3s
!sLsLsLL
|Da
|Re
|Ni
|Fa
|So
|'''Fli'''
|Thu
|Da
|}
== <nowiki>#</nowiki>37 (P8, P12/5) fifth-12th ==
This pergen can be thought of as "half-dudaug5th".
* G = vM3 = ^\d4 = //A2 = 380¢ + c/5
* EU's = ^<sup>5</sup>dd2, \<sup>5</sup>d<sup>3</sup>4, ^^\d2, v\\m2, etc.
* ^ = 20¢ + 3.8c
* / = 40¢ - 4.4c
MOS scales covered:
* 7 = 3L4s (P5 is 515-800¢), but better to use half-5th solfege
* 10 = 3L7s (P5 is 600-800¢)
* 13 = 3L10s (and 10L3s if P5 < 7\13)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
|-
!genspan
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
!solfege
|Ri
|Shu
|Tha
|Ro
|She
|Li
|Fru
|Fa
|Lo
|Fre
|Mi
|Flu
|'''Da'''
|Mo
|Fle
|Ti
|Nu
|Sa
|To
|Ne
|Pi
|Thu
|Ra
|Po
|The
|-
!intervals
|/M2
|^d5
|m7
|vM2
|\d5
|/M6
|^m2
|P4
|vM6
|\m2
|/M3
|^m6
|'''P1'''
|vM3
|\m6
|/M7
|^m3
|P5
|vM7
|\m3
|/A4
|^m7
|M2
|vA4
|\m7
|-
!notes
|/D
|^Gb
|Bb
|vD
|\Gb
|/A
|^Db
|F
|vA
|\Db
|/E
|^Ab
|'''C'''
|vE
|\Ab
|/B
|^Eb
|G
|vB
|\Eb
|/F#
|^Bb
|D
|vF#
|\Bb
|}
{| class="wikitable center-all"
|+
3L4s MOS scales (L = ^m3 = v/A2 = \\d4, s = ^/1 = vvA1 = \m2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
|-
!1st 3L4s
!LsLsLss
|Da
|Nu
|Mo
|Sa
|Fle
|'''To'''
|Ti
|Da
|-
!2nd 3L4s
!LsLssLs
|Da
|Nu
|Mo
|'''Sa'''
|Fle
|'''Flu'''
|Ti
|Da
|-
!3rd 3L4s
!LssLsLs
|Da
|'''Nu'''
|Mo
|'''Mi'''
|Fle
|Flu
|Ti
|Da
|-
!4th 3L4s
!sLsLsLs
|Da
|'''Fre'''
|Mo
|Mi
|Fle
|Flu
|'''Ti'''
|Da
|-
!5th 3L4s
!sLsLssL
|Da
|Fre
|Mo
|Mi
|'''Fle'''
|Flu
|'''Lo'''
|Da
|-
!6th 3L4s
!sLssLsL
|Da
|Fre
|'''Mo'''
|Mi
|'''Fa'''
|Flu
|Lo
|Da
|-
!7th 3L4s
!ssLsLsL
|Da
|Fre
|'''Fru'''
|Mi
|Fa
|Flu
|Lo
|Da
|}
{| class="wikitable center-all"
|+
3L7s MOS scales (L = ^/M2 = vvA2 = \m3, s = ^/1 = vvA1 = \m2)
![[Genchain mode numbering|GMN]] name
!scale
!plain
!drop
!up
!down
!lift
!plain
!drop
!up
!down
!lift
!plain
|-
!1st 3L7s
!LssLssLsss
|Da
|Ne
|Nu
|Mo
|Pi
|Sa
|Fle
|'''Thu'''
|To
|Ti
|Da
|-
!2nd 3L7s
!LssLsssLss
|Da
|Ne
|Nu
|Mo
|'''Pi'''
|Sa
|Fle
|'''Flu'''
|To
|Ti
|Da
|-
!3rd 3L7s
!LsssLssLss
|Da
|'''Ne'''
|Nu
|Mo
|'''Mi'''
|Sa
|Fle
|Flu
|To
|Ti
|Da
|-
!4th 3L7s
!sLssLssLss
|Da
|'''Fre'''
|Nu
|Mo
|Mi
|Sa
|Fle
|Flu
|'''To'''
|Ti
|Da
|-
!5th 3L7s
!sLssLsssLs
|Da
|Fre
|Nu
|Mo
|Mi
|'''Sa'''
|Fle
|Flu
|'''Lo'''
|Ti
|Da
|-
!6th 3L7s
!sLsssLssLs
|Da
|Fre
|'''Nu'''
|Mo
|Mi
|'''Fa'''
|Fle
|Flu
|Lo
|Ti
|Da
|-
!7th 3L7s
!ssLssLssLs
|Da
|Fre
|'''Fru'''
|Mo
|Mi
|Fa
|Fle
|Flu
|Lo
|'''Ti'''
|Da
|-
!8th 3L7s
!ssLssLsssL
|Da
|Fre
|Fru
|Mo
|Mi
|Fa
|'''Fle'''
|Flu
|Lo
|'''Li'''
|Da
|-
!9th 3L7s
!ssLsssLssL
|Da
|Fre
|Fru
|'''Mo'''
|Mi
|Fa
|'''She'''
|Flu
|Lo
|Li
|Da
|-
!10th 3L7s
!sssLssLssL
|Da
|Fre
|Fru
|'''Ro'''
|Mi
|Fa
|She
|Flu
|Lo
|Li
|Da
|}
==<nowiki>#</nowiki>38 (P8, ccP4/5) fifth-coco-4th ==
* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5
* EU = v<sup>5</sup>M2 = 0¢
* ^ = 40¢ + 0.4c
MOS scales covered:
* 5 = 2L3s
* 7 = 2L5s
* 9 = 2L7s
* 11 = 2L9s
* etc.
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
!genspan
!30
!...
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!...
!-30
|-
!solfege
|Sha
|...
|Tha
|Fe
|Thu
|Fo
|Thi
|Fa
|De
|Fu
|Do
|Fi
|'''Da'''
|Se
|Du
|So
|Di
|Sa
|Re
|Su
|Ro
|Si
|Ra
|...
|Pa
|-
!intervals
|d5
|...
|m7
|vv4
|^m7
|v4
|^^m7
|P4
|vv8
|^4
|v8
|^^4
|'''P1'''
|vv5
|^1
|v5
|^^1
|P5
|vvM2
|^5
|vM2
|^^5
|M2
|...
|A4
|-
!notes
|Gb
|...
|Bb
|vvF
|^Bb
|vF
|^^Bb
|F
|vvC
|^F
|vC
|^^F
|'''C'''
|vvG
|^C
|vG
|^^C
|G
|vvD
|^G
|vD
|^^G
|D
|...
|F#
|}
{| class="wikitable center-all"
|+
2L7s MOS scales (L = , s = ^1 = v<sup>4</sup>M2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
!1st 2L7s
!ssssLsssL
|Da
|Du
|Di
|Re
|'''Ro'''
|Se
|So
|Sa
|Su
|Da
|-
!2nd 2L7s
!sssLssssL
|Da
|Du
|Di
|Re
|'''Fi'''
|Se
|So
|Sa
|'''Su'''
|Da
|-
!3rd 2L7s
!sssLsssLs
|Da
|Du
|Di
|'''Re'''
|Fi
|Se
|So
|Sa
|'''Do'''
|Da
|-
!4th 2L7s
!ssLssssLs
|Da
|Du
|Di
|'''Fu'''
|Fi
|Se
|So
|'''Sa'''
|Do
|Da
|-
!5th 2L7s
!ssLsssLss
|Da
|Du
|'''Di'''
|Fu
|Fi
|Se
|So
|'''De'''
|Do
|Da
|-
!6th 2L7s
!sLssssLss
|Da
|Du
|'''Fa'''
|Fu
|Fi
|Se
|'''So'''
|De
|Do
|Da
|-
!7th 2L7s
!sLsssLsss
|Da
|'''Du'''
|Fa
|Fu
|Fi
|Se
|'''Thi'''
|De
|Do
|Da
|-
!8th 2L7s
!LssssLsss
|Da
|'''Fo'''
|Fa
|Fu
|Fi
|'''Se'''
|Thi
|De
|Do
|Da
|-
!9th 2L7s
!LsssLssss
|Da
|Fo
|Fa
|Fu
|Fi
|'''Thu'''
|Thi
|De
|Do
|Da
|}
== Multi-edo pergens of the form (P8/m, ^1) ==
{| class="wikitable center-all"
|+
!pergen
!period
!EU
!perchain
|-
|(P8/2, ^1)
|A4 / d5
|d2
|Da - Pa/Sha - Da
|-
|(P8/3, ^1)
|M3 / d4
|d2
|Da - Ma - Fla - Da
|-
|(P8/4, ^1)
|m3 / A2
|d2
|Da - Na - Pa/Sha - La - Da
|-
|(P8/5, ^1)
|M2 / m3
|d2
|Da - Ra/Na - Ma/Fa - Sa/Fla - La/Tha- Da
|-
|(P8/6, ^1)
|M2 / d3
|d2
|Da - Ra - Ma - Pa/Sha - Fla - Tha - Da
|-
|(P8/7, ^1)
|M2 / m2
|A1
|Da - Ra - Ma - Fa - Sa - La - Ta - Da
|-
|(P8/8, ^1)
|
|
|???
|-
|(P8/9, ^1)
|
|
|???
|-
|(P8/10, ^1)
|???
|???
|Da - Fra - Ra/Na - Ma - Fa - Pa/Sha - Sa - Fla - La/Tha - Ta - Da
|-
|(P8/11, ^1)
|
|
|???
|-
|(P8/12, ^1)
|A1 / m2
|d2
|Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
|}
===(P8/5, ^1)===
*P = M2/m3 = 200¢
*G = ^1 = c (stands for 81/80 in Blackwood)
*EU = d2 = 0¢
*^ = c
MOS scales covered:
*10 = 5L5s
*15 = 5L10s or 10L5s
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = ^1)
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |Fa's
genchain
perspan = 2
!solfege
|Me/Fe
|Mo/Fo
|Fa
|Fu
|Fi
|-
!intervals
|vvM3/vv4
|vM3/v4
|P4
|^4
|^^4
|-
!notes
|vvE/vvF
|vE/vF
|F
|^F
|^^F
|-
| colspan="7" |
|-
! rowspan="3" |Ra's
genchain
perspan = 1
!solfege
|Re
|Ro
|Ra/Na
|Ru/Nu
|Ri/Ni
|-
!intervals
|vvM2
|vM2
|M2/m3
|^M2/^m3
|^^M2/^^m3
|-
!notes
|vvD
|vD
|D/Eb
|^D/^Eb
|^^D/^^Eb
|-
| colspan="7" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|De
|Do
|'''Da'''
|Du
|Di
|-
!intervals
|vv8
|v8
|'''P1'''
|^1
|^^1
|-
!notes
|vvC
|vC
|'''C'''
|^C
|^^C
|-
| colspan="7" |
|-
! rowspan="3" |Tha's
genchain
perspan = -1
!solfege
|Le/The
|Lo/Tho
|La/Tha
|Thu
|Thi
|-
!intervals
|vvM6/vvm7
|vM6/vm7
|M6/m7
|^m7
|^^m7
|-
!notes
|vvA/vvBb
|vA/vBb
|A/Bb
|^Bb
|^^Bb
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
genchain
perspan = -2
!solfege
|Se
|So
|Sa
|Su/Flu
|Si/Fli
|-
!intervals
|vv5
|v5
|P5
|^5/^m6
|^^5/^^m6
|-
!notes
|vvG
|vG
|G
|^G/^Ab
|^^G/^^Ab
|}
Blackwood has a vM3 generator:
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = vM3)
!2
!1
!0
!-1
!-2
|-
! rowspan="3" |Fa's
genchain
perspan = 2
!solfege
|Re
|Lo
|Ma/Fa
|Du
|Fli
|-
!intervals
|vvM2
|vM6
|M3/P4
|^1
|^^m6
|-
!notes
|vvD
|vA
|E/F
|^C
|^^Ab
|-
|
|
|
|
|
|
|
|-
! rowspan="3" |Ra's
genchain
perspan = 1
!solfege
|De
|So
|Ra/Na
|Thu
|Fi
|-
!intervals
|vv8
|v5
|M2/m3
|^m7
|^^4
|-
!notes
|vvC
|vG
|D/Eb
|^Bb
|^^F
|-
|
|
|
|
|
|
|
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|Le
|Mo
|'''Da'''
|Flu
|Ri/Ni
|-
!intervals
|vvM6
|vM3
|'''P1'''
|^m6
|^^M2/^^m3
|-
!notes
|vvA
|vE
|'''C'''
|^Ab
|^^D/^^Eb
|-
|
|
|
|
|
|
|
|-
! rowspan="3" |Tha's
genchain
perspan = -1
!solfege
|Se
|Ro
|La/Tha
|Fu
|Di
|-
!intervals
|vv5
|vM2
|M6/m7
|^4
|^^1
|-
!notes
|vvG
|vD
|A/Bb
|^F
|^^C
|-
|
|
|
|
|
|
|
|-
! rowspan="3" |Sa's
genchain
perspan = -2
!solfege
|Me
|Do
|Sa/Fla
|Ru/Nu
|Thi
|-
!intervals
|vvM3
|v8
|P5/m6
|^M2/^m3
|^^m7
|-
!notes
|vvE
|vC
|G/Ab
|^D/^Eb
|^^Bb
|}
{| class="wikitable center-all"
|+
5L5s MOS scales (L = vM2/vm3, s = ^1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!3rd
!4th
!tritone
!5th
!6th
!7th
!
!8ve
|-
!1st 5L5s
!LsLsLsLsLs
|Da
|'''Ro'''
|Ra
|'''Mo'''
|Fa
|'''So'''
|Sa
|Lo
|Tha
|'''Do'''
|Da
|-
!2nd 5L5s
!sLsLsLsLsL
|Da
|'''Du'''
|Ra
|'''Nu'''
|Fa
|'''Fu'''
|Sa
|Flu
|Tha
|'''Thu'''
|Da
|}
{| class="wikitable center-all"
|+
5L10s MOS scales (L = vM2/vm3, s = ^1)
if s > 1\15 = 80¢, swap L and s to get 10L5s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!
!2nd
! colspan="2" |3rds
!4th
! colspan="2" |tritones
!5th
! colspan="2" |6ths
!7th
!
!
!8ve
|-
!1st 5L10s
!Lss x5
|Da
|'''Re'''
|Ro
|Ra
|'''Me'''
|Mo
|Fa
|'''Se'''
|So
|Sa
|'''Le'''
|Lo
|Tha
|'''De'''
|Do
|Da
|-
!2nd 5L10s
!sLs x5
|Da
|'''Du'''
|'''Ro'''
|Ra
|'''Nu'''
|'''Mo'''
|Fa
|'''Fu'''
|'''So'''
|Sa
|'''Flu'''
|'''Lo'''
|Tha
|'''Thu'''
|'''Do'''
|Da
|-
!3rd 5L10s
!ssL x5
|Da
|Du
|'''Di'''
|Ra
|Nu
|'''Ni'''
|Fa
|Fu
|'''Fi'''
|Sa
|Flu
|'''Fli'''
|Tha
|Thu
|'''Thi'''
|Da
|}
===(P8/7, ^1) ===
*P = M2/m2 = 171¢
*G = ^1 = c
*EU = A1 = 0¢
*^ = c
MOS scales covered:
*14 = 7L7s
*21 = 7L14s and 14L7s
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = ^1)
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |Fa's
genchain
perspan = 3
!solfege
|Fe
|Fo
|Fa
|Fu
|Fi
|-
!intervals
|vv4
|v4
|P4
|^4
|^^4
|-
!notes
|vvF
|vF
|F
|^F
|^^F
|-
| colspan="7" |
|-
! rowspan="3" |Ma's
genchain
perspan = 2
!solfege
|Me
|Mo
|Ma
|Mu
|Mi
|-
!intervals
|vvM3
|vM3
|M3
|^M3
|^^M3
|-
!notes
|vvE
|vE
|E
|^E
|^^E
|-
| colspan="7" |
|-
! rowspan="3" |Ra's
genchain
perspan = 1
!solfege
|Re
|Ro
|Ra
|Ru
|Ri
|-
!intervals
|vvM2
|vM2
|M2
|^M2
|^^M2
|-
!notes
|vvD
|vD
|D
|^D
|^^D
|-
| colspan="7" |
|-
! rowspan="3" |Da's
genchain
perspan = 0
!solfege
|De
|Do
|'''Da'''
|Du
|Di
|-
!intervals
|vv8
|v8
|'''P1'''
|^1
|^^1
|-
!notes
|vvC
|vC
|'''C'''
|^C
|^^C
|-
| colspan="7" |
|-
! rowspan="3" |Ta's
genchain
perspan = -1
!solfege
|Te
|To
|Ta
|Tu
|Ti
|-
!intervals
|vvM7
|vM7
|M7
|^M7
|^^M7
|-
!notes
|vvB
|vB
|B
|^B
|^^B
|-
| colspan="7" |
|-
! rowspan="3" |La's
genchain
perspan = -2
!solfege
|Le
|Lo
|La
|Lu
|Li
|-
!intervals
|vvM6
|vM6
|M6
|^M6
|^^M6
|-
!notes
|vvA
|vA
|A
|^A
|^^A
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
genchain
perspan = -3
!solfege
|Se
|So
|Sa
|Su
|Si
|-
!intervals
|vv5
|v5
|P5
|^5
|^^5
|-
!notes
|vvG
|vG
|G
|^G
|^^G
|}
{| class="wikitable center-all"
|+
7L7s MOS scales (L = vM2/vm2, s = ^1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!
!3rd
!
!4th
!
!5th
!
!6th
!
!7th
!
!8ve
|-
!1st 7L7s
!Ls x7
|Da
|'''Ro'''
|Ra
|'''Mo'''
|Ma
|'''Fo'''
|Fa
|'''So'''
|Sa
|'''Lo'''
|La
|'''To'''
|Ta
|'''Do'''
|Da
|-
!2nd 7L7s
!sL x7
|Da
|'''Du'''
|Ra
|'''Ru'''
|Ma
|'''Mu'''
|Fa
|'''Fu'''
|Sa
|'''Su'''
|La
|'''Lu'''
|Ta
|'''Thu'''
|Da
|}
{| class="wikitable center-all"
|+
7L14s MOS scales (L = vvM2/vvm2, s = ^1)
if s > 1\21 = 57¢, swap L and s to get 14L7s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!
!2nd
!
!
!3rd
!
!
!4th
!
!
!5th
!
!
!6th
!
!
!7th
!
!
!8ve
|-
!1st 7L14s
!Lss x7
|Da
|'''Re'''
|Ro
|Ra
|'''Me'''
|Mo
|Ma
|'''Fe'''
|Fo
|Fa
|'''Se'''
|So
|Sa
|'''Le'''
|Lo
|La
|'''Te'''
|To
|Ta
|'''De'''
|Do
|Da
|-
!2nd 7L14s
!sLs x7
|Da
|'''Du'''
|'''Ro'''
|Ra
|'''Ru'''
|'''Mo'''
|Ma
|'''Mu'''
|'''Fo'''
|Fa
|'''Fu'''
|'''So'''
|Sa
|'''Su'''
|'''Lo'''
|La
|'''Lu'''
|'''To'''
|Ta
|'''Tu'''
|'''Do'''
|Da
|-
!3rd 7L14s
!ssL x7
|Da
|Du
|'''Di'''
|Ra
|Ru
|'''Ri'''
|Ma
|Mu
|'''Mi'''
|Fa
|Fu
|'''Fi'''
|Sa
|Su
|'''Si'''
|La
|Lu
|'''Li'''
|Ta
|Tu
|'''Ti'''
|Da
|}
== Pergens Summary ==
{| class="wikitable center-all"
|+
bolded entries are tippy, meaning that ^ and v can easiiy swap
!
!pergen
!EU
! colspan="2" |vowels
!perchain and/or genchain
!mapping
!notes
|-
!1
|(P8, P5)
|vA1
| -a -u -o
|aug / dim
| Da - Sa
|(1 1...) (0 1...)
| -i = AA, -e = dd
|-
!2
|(P8/2, P5)
|'''^^d2'''
| -a -u -o
|
|'''Da - Po/Shu- Da'''
|(2 2...) (0 1...)
|
|-
!3
|(P8, P4/2)
|vvm2
| -a -u -o
|
|Da - Ru/No - Fa
|(1 2...) (0 -2...)
|
|-
!4
| (P8, P5/2)
|vvA1
| -a -u -o
|
|Da - Nu/Mo - Sa
|(1 1...) (0 2...)
|
|-
!6
|(P8/3, P5)
|'''^<sup>3</sup>d2'''
| -a -u -o
|
|'''Da - Mo - Flu - Da'''
|(3 3...) (0 1...)
|
|-
!7
|(P8, P4/3)
|v<sup>3</sup>A1
| -a -u -o
|
|Da - Ro - Nu - Fa
|(1 2...) (0 -3...)
|
|-
!8
|(P8, P5/3)
|v<sup>3</sup>m2
| -a -u -o
|
|Da - Ru - Fo - Sa
|(1 1...) (0 3...)
|
|-
!9
|(P8, P11/3)
|v<sup>3</sup>M2
| -a -u -o
|
|Da - Fu - Do - Fa
|(1 3...) (0 -3...)
|
|-
!16
|(P8/4, P5)
|'''^<sup>4</sup>d2'''
| -a -u -o -i -e
|
|'''Da - Nu - Pe/Shi - Lo - Da'''
|(4 4...) (0 1...)
|
|-
!17
|(P8, P4/4)
|\\m2, ^^\d2, vv\A1
| -a -u -o -i -e
|lift / drop
|Da - Fru - Ri/Ne - Mo - Fa
|(1 2...) (0 -4...)
|
|-
!18
|(P8, P5/4)
|v<sup>4</sup>A1
|<nowiki>-a -u -o -i -e</nowiki>
|
|Da - Ro - Ni/Me - Fu - Sa
|(1 1...) (0 4...)
|
|-
!19
|(P8, P11/4)
|\\A1, vv\m2, vv/d2
| -a -u -o -i -e
|lift / drop
|Da - Mu - Fli/Le - Fro - Fa
|(1 3...) (0 -4...)
|
|-
!20
|(P8, P12/4)
|v<sup>4</sup>m2
| -a -u -o -i -e
|
|Da - Fo - Li/The - Ru - Sa
|(1 0...) (0 4...)
|
|-
!22
|(P8/2, M2/4)
|v<sup>4</sup>M2
| -a -u -o -i -e
|
|Da - Fi/Se - Da
Da - Du - Di/Re - Ro - Ra
|(2 3...) (0 2...)
|
|-
!33
|(P8/5, P5)
|v<sup>5</sup>m2
| -a -u -o -i -e
|
|Da - Ri - Fo - Su - The - Da
|(5 5...) (0 1...)
|
|-
!34
|(P8, P4/5)
|^<sup>5</sup>d2
| -a -u -o -i -e
|
|Da - Fri - Ro - Nu - Me - Fa
|(1 2...) (0 5...)
|
|-
!35
|(P8, P5/5)
|v<sup>5</sup>A2
| -a -u -o -i -e
|
|Da - Ro - Me - Ni - Fu - Sa
|(1 1...) (0 5...)
|
|-
!36
|(P8, P11/5)
|v<sup>5</sup>A1
| -a -u -o -i -e
|
|Da - Ni - So - Thu - Re - Fa
|(1 3...) (0 -5...)
|
|-
!37
|(P8, P12/5)
|^^\d2, v\\m2
| -a -u -o -i -e
|lift / drop
|Da - Mo - Fle - Ti - Nu - Sa
|(1 0...) (0 5...)
|
|-
!38
|(P8, ccP4/5)
|v<sup>5</sup>M2
| -a -u -o -i -e
|
|Da - Fi - Do - Fu - De - Fa
|(1 4...) (0 -5...)
|
|}
{| class="wikitable center-all"
|+
Multi-edo pergens
!pergen
!period
!EU
!perchain
|-
|(P8/2, ^1)
|A4 / d5
|d2
| Da - Pa/Sha - Da
|-
|(P8/3, ^1)
|M3 / d4
|d2
|Da - Ma - Fla - Da
|-
|(P8/4, ^1)
|m3 / A2
|d2
|Da - Na - Pa/Sha - La - Da
|-
| (P8/5, ^1)
|M2 / m3
|d2
|Da - Ra/Na - Ma/Fa - Sa/Fla - La/Tha- Da
|-
|(P8/6, ^1)
|M2 / d3
|d2
|Da - Ra - Ma - Pa/Sha - Fla - Tha - Da
|-
|(P8/7, ^1)
|M2 / m2
|A1
|Da - Ra - Ma - Fa - Sa - La - Ta - Da
|-
|(P8/10, ^1)
|???
|???
|Da - Fra - Ra/Na - Ma - Fa - Pa/Sha - Sa - Fla - La/Tha - Ta - Da
|-
|(P8/12, ^1)
|A1 / m2
|d2
|Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
|}
|}
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