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User:TallKite/List of Solfeges: Difference between revisions

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backup of my main solfege page which isn't saving, will eventually be just the list
 
TallKite (talk | contribs)
autopatrolled, Sysops
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m updated EI to EU
 
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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"
{| 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 sharp-1 edos, to up an interval means to augment it. Thus Fu = Pa and So = Sha. Fru = Ra and Fra = Ro.
 
In flat-1 edos, to up an interval means to diminish it. Fo = Pa and Su = Sha. Fro = Ra and Fra = Ru.  


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


In sharp-2 and sharp-4 edos, mid is spelled as downmajor, downaug for the 4th, and downperfect for the 5th
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.


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".
=== Example Scales ===
*1sn/2nd = unisecond (secison)
(The prime limits assumes a larger edo in which both 81/80 and 64/63 are 1 edostep.)
*2nd/3rd = serd (thecond)
{| class="wikitable center-all"
*3rd/4th = ford (thorth)
*4th/5th = tritone
*5th/6th = sifth (sexth)
*6th/7th =  sexth? siventh?
*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"
|+
|+
! 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"
|+
|+
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"
|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
|P8
|-
!numeric solfege
|Wa
|Tu
|Ti
|Fo
|Fa
|Wa
|-
!uniform solfege
|Da
|Ra / Na
|Fa
|Sa
|La / Tha
|Da
|-
!BC solfege
|Do
|Re / Me
|Fa
|So
|La / Te
|Do
|}
{| class="wikitable"
|+uniform circle of fifths
!
!0
!3
!1
!4
!2
!5
|-
!-a
|Da
|Sa
|Ra
|La
|
|
|
|
|-
|(ilo)
!-a
|(ilo)
|
|
|
|ilo
|
|
|
|ilo
|
|
|
|
|
|Na
|Tha
|Fa
|Da
|}
==6edo==
{| class="wikitable"
|+BC & numeric solfeges
![[6edo]]
!0
!1
!2
!3
!4
!5
!6
|-
|-
!notes
|(lu)
|C
|lu
|D
|
|E
|
|F# / Gb
|lu
|G# / Ab
|
|A# / Bb
|
|C
|
|lu
|
|
|
|(lu)
|(lu)
|
|
|
|lu
|
|
|
|lu
|
|
|
|-
|-
!intervals
! rowspan="2" |tha
|P1
|
|M2
|tho
|M3
|tho
|A4 / d5
|
|A5 / m6
|tho
|A6 / m7
|tho
|P8
|
|
|tho
|
|tho
|
|
|tho
|
|tho
|
|
|(tho)
|
|
|
|
|
|
|-
|-
!BC solfege (12edo subset)
|
|Do
|thu
|Re
|thu
|Mi
|
|Fi / Se
|thu
|Si / Le
|thu
|Li / Te
|
|Do
|
|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
|-
!-a
|7
|
|5 12
| 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
 
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"
== 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"
{| 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
|
|Fa
|Da
|-
|-
!BC
!-a
|Do
|
|So
|
|Re
|Na
|La
|Tha
|Mi
|Ti
|Fa
|Fa
|Do
|Da
|}
|}
==8edo==
 
{| class="wikitable"
== 6edo ==
|+numeric solfege, see also edos 9-11
{| class="wikitable center-all"
![[8edo]]
|+
BC & numeric solfeges
![[6edo]]
!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"
== 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
|E
|Fo
|F
|G
|A
|B
|C
|-
!intervals
|P1
|P2
|P3
|P4
|P5
|P6
|P7
|P8
|-
!BC solfege
|Do
|Re
|Mi
|Fa
|Fa
|Si
|So
|Se
|La
|E
|Ti
|Na
|Do
|Wa
|-
!uniform solfege
|Da
|Ra
|Ma
|Fa
|Sa
|La
|Ta
|Da
|}
|}
==10edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+numeric solfege, see also 8edo, 9edo & 11edo
circle of fifths
![[10edo]]
!
!0
!0
!4
!1
!1
!5
!2
!2
!6
!3
!3
!4
!5
!6
!7
!7
!8
!9
!10
|-
|-
!solfege
!BC
|Wa
|Do
|Tu
|So
|Re
|La
|Mi
|Ti
|Ti
|Fo
|Fa
|Fa
|Si
|Do
|Se
|-
|E
!uniform
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|}
 
== 8edo ==
{| class="wikitable  center-all"
|+
numeric solfege
![[8edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!solfege
|Wa
|Tu
|Ti
|Fo
|Fa
|Si
|Se
|E
|Wa
|}
 
== 9edo ==
{| class="wikitable  center-all"
|+
numeric solfege
![[9edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
!solfege
|Wa
|Tu
|Ti
|Fo
|Fa
|Si
|Se
|E
|Na
|Na
|Te
|Wa
|Wa
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -o = down)
|+
![[10edo]]
uniform solfege (-a = plain)
![[9edo]]
!0
!0
!1
!1
Line 525: Line 778:
!8
!8
!9
!9
!10
|-
|-
!cents
!cents
|0
|0
|120
|133
|240
|267
|360
|400
|480
|533
|600
|667
|720
|800
|840
|933
|960
|1067
|1080
|1200
|1200
|-
|-
!notes
!notes
|C
|C
|vD
|D
|D / Eb
|Db/E
|vE
|Eb/F#
|F
|F
|vF# / vG
|G
|G
|vA
|Gb/A
|A / Bb
|Ab/B
|vB
|Bb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|~2
|M2
|M2 / m3
|m2/M3
|~3
|m3/A4
|P4
|P4
|~4 / ~5
|P5
|P5
|~6
|d5/M6
|M6 / m7
|m6/M7
|~7
|m7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Ro
|Ra
|Ra / Na
|Fra/Ma
|Mo
|Na/Pa
|Fa
|Fa
|Po / So
|Sa
|Sa
|Lo
|Sha/La
|La / Tha
|Fla/Ta
|To
|Tha
|Da
|Da
|-
!extra names
|
|Du / Fru
|
|Nu
|Ma
|Fu / Shu
|Fla
|Flu
|
|Thu / Do
|
|}
|}
{| class="wikitable"
Of qustionable merit. Circle of 5ths: Da Sa Ra La/Sha Ma/Fra Ta/Fla Pa/Na Tha Fa Da
|+'''circles of fifths'''
 
! colspan="7" |plain circle
== 10edo ==
| rowspan="4" |
{| class="wikitable center-all"
! colspan="7" |down circle
|+
|-
numeric solfege
!
![[10edo]]
!0
!0
!6
!1
!2
!2
!8
!3
!4
!4
!10
!5
!
!6
!1
!7
!7
!3
!8
!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"
|+numeric solfege, see also edos 8-10
![[11edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!9
!10
!10
!11
|-
|-
!solfege
!solfege
Line 671: Line 857:
|Na
|Na
|Te
|Te
|Le
|Wa
|Wa
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+someone's solfege from 11edo page, subset of 22edo
|+
![[11edo]]
uniform solfege (-a = plain, -o = down)
![[10edo]]
!0
!0
!1
!1
Line 688: Line 874:
!9
!9
!10
!10
!11
|-
|-
!solfege
!cents
|Do
|0
|Ra
|120
|Re
|240
|Me
|360
|Mo
|480
|Fu
|600
|Su
|720
|Lo
|840
|La
|960
|Ta
|1080
|Ti
|1200
|Do
|}
==12edo==
{| class="wikitable"
|+conventional solfege (-i = sharp, -e = flat, -a = flat Re)
![[12edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|-
!notes
!notes
|C
|C
|C# / Db
|vD
|D
|D / Eb
|D# / Eb
|vE
|E
|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
|Do
|Da
|Di / Ra
|Ro
|Re
|Ra / Na
|Ri / Me
|Mo
|Mi
|Fa
|Fa
|Fi / Se
|Po / So
|So
|Sa
|Si / Le
|Lo
|La
|La / Tha
|Li / Te
|To
|Ti
|Da
|Do
|-
!extra names
|
|Du / Fru
|
|Nu
|Ma
|Fu / Shu
|Fla
|Flu
|
|Thu / Do
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+
|+
'''circle of fifths (asymmetrical and major-centric)'''
'''circles of fifths'''
! colspan="7" |plain circle
| rowspan="4" |
! colspan="7" |down circle
|-
!
!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
|-
|-
|Do
!-a
|So
|Da
|Re
|Sa
|Ra
|La
|La
|Mi
|Ti
|Fi
|Di
|Si
|Ri
|Li
|
|
|
!-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
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
|-
!solfege
|Wa
|Tu
|Ti
|Fo
|Fa
|Si
|Se
|Se
|Ra
|E
|Na
|Te
|Le
|Le
|Me
|Wa
|Te
|Fa
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
|+
![[12edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[11edo]]
!0
!0
!1
!1
Line 832: 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 / Ro
|Du/Ra
|Ra
|Ri/Ma
|Ru / Mo
|Fra/Mi
|Ma
|Na/Fo
|Fa
|Fa/So
|Fu / So
|Fu/Sa
|Sa
|Su/La
|Su / Lo
|Li/Ta
|La
|Fla/Ti
|Lu / To
|Tha/Do
|Ta
|Da
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Tu
|}
|}
{| class="wikitable"
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
|Ta
|
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|
|So
|Ro
|Lo
|Mo
|Mo
|To
|
|
|-
!-u
|
|
|
|
|
|
|Fu
|Fu
|Du
|Su
|Su
|Ru
|Lo
|Lu
|La
|
|Ta
|
|Ti
|-
|Do
!-a
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
|}
{| class="wikitable"
 
|+uniform solfege #2 (-a = plain = perfect/major, -u = aug)
== 12edo ==
{| class="wikitable center-all"
|+
conventional solfege (-i = sharp, -e = flat, -a = flat Re)
![[12edo]]
![[12edo]]
!0
!0
Line 1,019: Line 1,181:
|-
|-
!solfege
!solfege
|Da
|Do
|Du / Fra
|Di / Ra
|Ra
|Re
|Ru / Na
|Ri / Me
|Ma
|Mi
|Fa
|Fa
|Pa / Sha
|Fi / Se
|Sa
|So
|Su / Fla
|Si / Le
|La
|La
|Lu / Tha
|Li / Te
|Ta
|Ti
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Do
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+'''circle of fifths (asymmetrical and major-centric)'''
|+
!
'''circle of fifths (asymmetrical and major-centric)'''
!0
!0
!7
!7
Line 1,065: Line 1,212:
!12
!12
|-
|-
!-a
|Do
|Da
|So
|Sa
|Re
|Ra
|La
|La
|Ma
|Mi
|Ta
|Ti
|Pa
|Fi
|
|Di
|
|Si
|
|Ri
|
|Li
|
|
|
|
|-
|-
!-u
|
|
|
|
Line 1,087: Line 1,232:
|
|
|
|
|
|Se
|Du
|Ra
|Su
|Le
|Ru
|Me
|Lu
|Te
|
|
|-
!-a
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
|Da
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
|}
==13b-edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
![[13edo]]
![[12edo]]
!0
!0
!1
!1
Line 1,127: Line 1,262:
!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
|Da
|Du/Ra
|Du / Ro
|Ru/Ma
|Ra
|Fro/Mu
|Ru / Mo
|Fra/No
|Ma
|Na/Fo
|Fa
|Fa
|Fu / So
|Sa
|Sa
|Su/La
|Su / Lo
|Lu/Ta
|La
|Flo/Tu
|Lu / To
|Fla/Tho
|Ta
|Tha/Do
|Da
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Tu
|}
|}
{| class="wikitable"
{| 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
!-a
Line 1,202: Line 1,348:
|Ma
|Ma
|Ta
|Ta
|
|
|
|
|
Line 1,211: Line 1,356:
|
|
|-
|-
!-u
!-o
|
|
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|
|
|So
|Ro
|Lo
|Mo
|To
|
|
|
|
|-
|-
!-o
!-u
|
|
|
|
Line 1,234: Line 1,378:
|
|
|
|
|Fro
|Fu
|Flo
|Du
|No
|Su
|Tho
|Ru
|Fo
|Lu
|Do
|
|
|
|
Line 1,252: Line 1,395:
|
|
|
|
|Fra
|
|Fla
|
|Na
|
|Tha
|Fa
|Fa
|Da
|Da
|}
|}
==14edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
uniform solfege #2 (-a = plain = perfect/major, -u = aug)
![[14edo]]
![[12edo]]
!0
!0
!1
!1
Line 1,276: Line 1,418:
!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 / Fra
|Ra
|Ra
|Ru/Mo
|Ru / Na
|Ma
|Ma
|Mu/Fo
|Fa
|Fa
|Fu/So
|Pa / Sha
|Sa
|Sa
|Su/Lo
|Su / Fla
|La
|La
|Lu/To
|Lu / Tha
|Ta
|Ta
|Tu/Do
|Da
|Da
|}
|-
{| class="wikitable"
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|
|}
{| class="wikitable center-all"
|+
|+
'''circles of fifths'''
'''circle of fifths (asymmetrical and major-centric)'''
! colspan="9" |plain circle
| 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 1,363: Line 1,504:
|Ma
|Ma
|Ta
|Ta
|Fa
|Pa
|Da
|
|
|
|
|
|
|-
!-u
!-u
|Fu
|
|
|
|
|
|
|
|Du
|Du
|Su
|Su
|Ru
|Ru
|Lu
|Lu
|Mu
|
|Tu
|
|Fu
|-
|-
| colspan="9" |
!-a
!-o
|
|So
|
|Ro
|
|Lo
|
|Mo
|
|To
|
|Fo
|Sha
|Do
|Fra
|So
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
==15edo==
 
{| class="wikitable"
== 13b-edo ==
|+uniform solfege (-u = up, -o = down, -a = plain)
{| class="wikitable center-all"
![[15edo]]
|+
uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
![[13edo]]
!0
!0
!1
!1
Line 1,404: 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 / ^Gb
|G
|vF# / 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 / ^d5
|P5
|vA4 / 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
|Fru
|Du/Ra
|Ro
|Ru/Ma
|Ra / Na
|Fro/Mu
|Nu
|Fra/No
|Mo
|Na/Fo
|Fa
|Fa
|Fu / Shu
|Po / So
|Sa
|Sa
|Flu
|Su/La
|Lo
|Lu/Ta
|La / Tha
|Flo/Tu
|Thu
|Fla/Tho
|To
|Tha/Do
|Da
|Da
|}
{| class="wikitable  center-all"
|+
'''circle of fifths'''
!
!0
!7
!1
!8
!2
!9
!3
!10
!4
!11
!5
!12
!6
!13
|-
|-
!extras
!-a
|
|Da
|Du
|Sa
|Ra
|La
|Ma
|Ta
|
|
|
|
Line 1,490: Line 1,645:
|
|
|
|
|-
!-u
|
|
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|Do
|
|
|}
{| class="wikitable"
|+'''circles of fifths'''
! colspan="6" |plain circle
| rowspan="4" |
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |down circle
|-
!0
!9
!3
!12
!6
!15
!1
!10
!4
!13
!7
!1
!2
!11
!5
!14
!8
!2
|-
|Da
|Sa
|Ra
|La
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|-
!-o
|
|
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|
|
|
|
|Shu
|Fro
|Fru
|Flo
|No
|Tho
|Fo
|Do
|
|
|
|
|-
!-a
|
|
|
|
|So
|
|Ro
|
|
|
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
{| class="wikitable"
 
|+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
== 14edo ==
![[15edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
![[14edo]]
!0
!0
!1
!1
Line 1,580: Line 1,715:
!13
!13
!14
!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/vD
|vD
|D
|D/Eb
|^D/vE
|^Eb
|E
|vE
|^E/vF
|E/F
|F
|^F
|^F/vG
|vG
|G
|G/Ab
|^G/vA
|^Ab
|A
|vA
|^A/vB
|A/Bb
|B
|^Bb
|^B/vC
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1/v2
|vM2
|P2
|M2/m3
|^2/v3
|^m3
|P3
|vM3
|^3/v4
|M3/P4
|P4
|^4
|^4/v5
|v5
|P5
|P5/m6
|^5/v6
|^m6
|P6
|vM6
|^6/v7
|M6/m7
|P7
|^m7
|^7/v8
|vM7
|P8
|P8
|-
|-
!solfege
!uniform solfege
|Da
|Da
|Ru
|Du/Ro
|Ro
|Ra
|Ra/Mi
|Ru/Mo
|Mu
|Ma
|Mo
|Mu/Fo
|Ma/Fa
|Fa
|Fu
|Fu/So
|So
|Sa
|Sa/Li
|Su/Lo
|Lu
|La
|Lo
|Lu/To
|La/Ti
|Ta
|Tu
|Tu/Do
|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"
{| class="wikitable  center-all"
|+someone's BC solfege from the 15edo page
|+
![[15edo]]
'''circles of fifths'''
! colspan="9" |plain circle
| rowspan="4" |
! colspan="9" |up/down circle
|-
!
!0
!8
!2
!10
!4
!12
!6
!14
!
!7
!1
!9
!3
!11
!5
!13
!7
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
!-u
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Fu
|-
| colspan="9" |
!-o
|So
|Ro
|Lo
|Mo
|To
|Fo
|Do
|So
|}
 
== 15edo ==
{| class="wikitable center-all"
|+
uniform solfege (-u = up, -o = down, -a = plain)
![[15edo]]
!0
!0
!1
!1
Line 1,674: Line 1,846:
!15
!15
|-
|-
!notes
!cents
|C
|0
|^C
|80
|vD
|160
|D
|240
|^Eb
|320
|vE
|400
|F
|480
|^F
|560
|vG
|640
|G
|720
|800
|880
|960
|1040
|1120
|1200
|-
!notes
|C
|^Db
|vD
|D / Eb
|^Eb
|vE
|E / F
|^F / ^Gb
|vF# / vG
|G / Ab
|^Ab
|^Ab
|vA
|vA
|Bb
|A / Bb
|^Bb
|^Bb
|vB
|vB
Line 1,694: Line 1,884:
!intervals
!intervals
|P1
|P1
|^1
|^m2
|vM2
|vM2
|M2
|M2 / m3
|^m3
|^m3
|vM3
|vM3
|P4
|M3 / P4
|^4
|^4 / ^d5
|v5
|vA4 / v5
|P5
|P5 / m6
|^m6
|^m6
|vM6
|vM6
|m7
|M6 / m7
|^m7
|^m7
|vM7
|vM7
Line 1,711: Line 1,901:
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Fru
|Ru
|Ro
|Re
|Ra / Na
|Me
|Nu
|Mi
|Mo
|Fa
|Fa
|Fu
|Fu / Shu
|Su
|Po / So
|So
|Sa
|Le
|Flu
|La
|Lo
|Ta
|La / Tha
|Tu
|Thu
|Ti
|To
|Da
|-
!extras
|
|Du
|
|
|
|
|
|
|
|
|
|
|
|
|Do
|Do
|
|}
|}
==16edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
'''circles of fifths'''
![[16edo]]
! 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
|-
|-
!cents
|Da
|0
|Sa
|75
|Ra
|150
|La
|225
|
|300
|
|375
|Fru
|450
|Flu
|525
|Nu
|600
|Thu
|675
|Fu
|750
|
|825
|Ro
|900
|Lo
|975
|Mo
|1050
|To
|1125
|Po
|1200
|
|-
|-
!notes
|
|C
|
|Cb/D#
|Na
|D
|Tha
|Db
|Fa
|E
|Eb
|Ebb/F#
|F
|Fb/G#
|G
|Gb/A#
|A
|Ab
|B
|Bb
|Bbb/C#
|C
|-
!intervals
|P1
|d1/A2
|M2
|m2
|M3
|m3
|d3/A4
|P4
|d4/A5
|P5
|d5/A6
|M6
|m6
|M7
|m7
|d7/A8
|P8
|-
!solfege
|Da
|Da
|Du/Ro
|Ra
|Fra
|Ma
|Na
|Nu/Pa
|Fa
|Fu/So
|Sa
|Sha/Lo
|La
|Fla
|Ta
|Tha
|Thu/Do
|Da
|-
!extras
|
|
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Shu
|Fru
|
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|
|
|So
|Ro
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+'''circle of fifths'''
|+
!
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 20edo, 22edo
![[15edo]]
!0
!0
!9
!1
!2
!2
!11
!3
!4
!4
!13
!5
!6
!6
!15
!7
!8
!8
!1
!9
!10
!10
!3
!11
!12
!12
!5
!13
!14
!14
!7
!15
!16
|-
|-
!-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
|
|-
|-
!-u
!notes
|
|C
|
|^Db
|
|vD
|
|D/Eb
|
|^Eb
|
|vE
|Nu
|E/F
|Thu
|^F
|Fu
|vG
|Du
|G/Ab
|
|^Ab
|
|vA
|
|A/Bb
|
|^Bb
|
|vB
|
|C
|
|-
|-
!-o
!intervals
|
|P1
|
|^m2
|
|vM2
|
|M2/m3
|
|^m3
|
|vM3
|
|M3/P4
|Do
|^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
|
|La/Ti
|
|Tu
|
|To
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable"
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
|+Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
{| class="wikitable center-all"
![[16edo]]
|+
someone's BC solfege from the 15edo page
![[15edo]]
!0
!0
!1
!1
Line 1,968: Line 2,116:
!14
!14
!15
!15
!16
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^C
|vD
|D
|D
|Db/E#
|^Eb
|E
|vE
|Eb
|F#
|F
|F
|Fb/G#
|^F
|vG
|G
|G
|Gb/A#
|^Ab
|A
|vA
|Ab/B#
|B
|Bb
|Bb
|C#
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^1
|vM2
|M2
|M2
|m2/A3
|^m3
|M3
|vM3
|m3
|A4
|P4
|P4
|d4/A5
|^4
|v5
|P5
|P5
|d5/A6
|^m6
|M6
|vM6
|m6/A7
|M7
|m7
|m7
|A8
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|De/Ri
|Di
|Ru
|Re
|Re
|Ra/Ma
|Me
|Mi
|Mi
|Me
|Fi
|Fa
|Fa
|Fe/Si
|Fu
|Su
|So
|So
|Se/Li
|Le
|La
|La
|Le/Ta
|Ta
|Tu
|Ti
|Ti
|Te
|Di
|Do
|Do
|}
|}
==17edo==
 
{| class="wikitable"
== 16edo ==
|+uniform solfege (-a = plain, -u = up, -o = down)
{| class="wikitable center-all"
![[17edo]]
|+
uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[16edo]]
!0
!0
!1
!1
Line 2,048: Line 2,194:
!15
!15
!16
!16
!17
|-
|-
!notes
!cents
|C
|0
|^C / Db
|75
|vD
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
!notes
|C
|Cb/D#
|D
|D
|^D / Eb
|Db
|vE
|E
|E
|Eb
|Ebb/F#
|F
|F
|^F / Gb
|Fb/G#
|F# / vG
|G
|G
|Gb/A#
|A
|Ab
|Ab
|vA
|B
|A
|Bb
|^A / Bb
|Bbb/C#
|vB
|B / vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|d1/A2
|~2
|M2
|M2
|^M2 / m3
|m2
|~3
|M3
|M3
|m3
|d3/A4
|P4
|P4
|~4 / d5
|d4/A5
|A4 / ~5
|P5
|P5
|d5/A6
|M6
|m6
|m6
|~6
|M7
|M6
|m7
|^M6 / m7
|d7/A8
|~7
|M7 / v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du / Fra
|Du/Ro
|Ro
|Ra
|Ra
|Fra
|Ma
|Na
|Na
|Mo
|Nu/Pa
|Ma
|Fa
|Fa
|Fu / Sha
|Fu/So
|Pa / So
|Sa
|Sa
|Sha/Lo
|La
|Fla
|Fla
|Lo
|Ta
|La
|Tha
|Tha
|To
|Thu/Do
|Ta / Do
|Da
|Da
|-
|-
Line 2,113: Line 2,274:
|
|
|
|
|Fru
|Fro
|Ru
|No
|No
|Ru
|Mu
|Nu
|Fo
|Fo
|
|
|
|
|
|
|
|Su
|Su
|Flu
|Flo
|Lu
|Tho
|Tho
|Lu
|Tu
|Thu
|
|
|
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+circle of fifths
|+
'''circle of fifths'''
!
!
!0
!0
!10
!9
!3
!2
!11
!4
!13
!13
!6
!6
!16
!9
!2
!12
!5
!15
!15
!8
!8
!1
!1
!11
!10
!4
!3
!12
!5
!14
!14
!7
!7
!17
!16
|-
|-
!-a
!-a
Line 2,170: Line 2,330:
|
|
|
|
|-
!-u
|
|
|-
!-o
|
|
|
|
Line 2,178: Line 2,338:
|
|
|
|
|Do
|Nu
|So
|Thu
|Ro
|Fu
|Lo
|Du
|Mo
|To
|
|
|
|
Line 2,192: Line 2,350:
|
|
|-
|-
!-u
!-o
|
|
|
|
Line 2,200: Line 2,358:
|
|
|
|
|(Fru)
|Do
|(Flu)
|So
|(Nu)
|Ro
|(Thu)
|Lo
|Fu
|
|Du
|
|
|
|
Line 2,213: Line 2,370:
|-
|-
!-a
!-a
|
|
|
|
|
Line 2,235: Line 2,391:
! colspan="2" |perfect
! colspan="2" |perfect
! colspan="4" |major
! colspan="4" |major
! colspan="6" |mid
! colspan="5" |in-between
! colspan="4" |minor
! colspan="4" |minor
! colspan="2" |perfect
! colspan="2" |perfect
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+Andrew's BC solfege (-u = mid)
|+
![[17edo]]
Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[16edo]]
!0
!0
!1
!1
Line 2,259: Line 2,416:
!15
!15
!16
!16
!17
|-
|-
!notes
!notes
|C
|C
|^C / Db
|Cb/D#
|C# / vD
|D
|D
|^D / Eb
|Db/E#
|D# / vE
|E
|E
|Eb
|F#
|F
|F
|^F / Gb
|Fb/G#
|F# / vG
|G
|G
|^G / Ab
|Gb/A#
|G# / vA
|A
|A
|^A / Bb
|Ab/B#
|A# / vB
|B
|B
|Bb
|C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|d1/A2
|A1 / ~2
|M2
|M2
|^M2 / m3
|m2/A3
|A2 / ~3
|M3
|M3
|m3
|A4
|P4
|P4
|~4 / d5
|d4/A5
|A4 / ~5
|P5
|P5
|^5 / m6
|d5/A6
|A5 / ~6
|M6
|M6
|^M6 / m7
|m6/A7
|A6 / ~7
|M7
|M7
|m7
|A8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Da / Ra
|De/Ri
|Di / Ru
|Re
|Re
|Ro / Me
|Ra/Ma
|Ri / Mu
|Mi
|Mi
|Me
|Fi
|Fa
|Fa
|Fu / Se
|Fe/Si
|Fi / Su
|So
|So
|Sa / Le
|Se/Li
|Si / Lu
|La
|La
|Lo / Te
|Le/Ta
|Li / Tu
|Ti
|Ti
|Te
|Di
|Do
|Do
|}
|}
==18b-edo==
 
{| class="wikitable"
== 17edo ==
|+uniform solfege (-a = plain, -u = up, -o = down)
{| class="wikitable center-all"
![[18edo]]
|+
uniform solfege (-a = plain, -u = up, -o = down)
![[17edo]]
!0
!0
!1
!1
Line 2,343: Line 2,498:
!16
!16
!17
!17
!18
|-
|-
!notes
!notes
|C
|C
|^C
|^C / Db
vD
|vD
|D
|D
|^D
|^D / Eb
vDb
|vE
|Db
|E
E
|^E
vEb
|Eb
|^Eb / ^F#
vF
|F
|F
|^F
|^F / Gb
vG
|F# / vG
|G
|G
|^G
|Ab
^Gb / vA
|vA
|A
|A
|^A
|^A / Bb
vAb
|vB
|Ab
|B / vC
B
|^B
vBb
|Bb
|^Bb
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|^1 / m2
vM2
|~2
|M2
|M2
|~2
|^M2 / m3
|m2
M3
|~3
|~3
|m3
|M3
|^m3 / ^A4
v4
|P4
|P4
|^4
|~4 / d5
v5
|A4 / ~5
|P5
|P5
|^5
|m6
vd5 / vM6
|~6
|M6
|M6
|~6
|^M6 / m7
|m6
M7
|~7
|~7
|m7
|M7 / v8
|^m7
|P8
v8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du / Fra
Ro
|Ro
|Ra
|Ra
|Ru
Fro
|Fra
Ma
|Mu
No
|Na
|Na
|Nu / Pu
|Mo
Fo
|Ma
|Fa
|Fa
|Fu
|Fu / Sha
So
|Pa / So
|Sa
|Sa
|Su
|Fla
Sho / Lo
|Lo
|La
|La
|Lu
Flo
|Fla
Ta
|Tu
Tho
|Tha
|Tha
|Thu
|To
Do
|Ta / Do
|Da
|Da
|-
|-
Line 2,440: Line 2,562:
|
|
|
|
|Fru
|No
|Ru
|Nu
|Fo
|
|
|
|
|
|
|
|
|Pa
|Su
|
|Flu
|
|Tho
|
|Lu
|
|Thu
|
|Sha
|
|
|
|
|
|
|
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+circles of fifths
|+
! colspan="11" |plain circle
circle of fifths
| rowspan="4" |
! colspan="11" |up/down circle
|-
!
!
!0
!0
!10
!10
!3
!13
!6
!16
!9
!2
!2
!12
!12
!4
!5
!14
!15
!6
!16
!8
!8
!18
!
!9
!1
!1
!11
!11
!3
!4
!13
!14
!5
!15
!7
!7
!17
!17
!9
|-
|-
!-a
!-a
Line 2,494: Line 2,609:
|Ma
|Ma
|Ta
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
!-u
|Fu
|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
|Mo
|Flo
|To
|No
|
|Tho
|
|Fo
|
|Do
|
|So
|
|}
|
==19edo==
|
{| class="wikitable"
|-
|+traditional solfege
!-u
![[19edo]]
|
|
|
|
|
|
|
|(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
!0
!1
!1
Line 2,555: 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
|Do
|Do
|Di/Ro
|Da / Ra
|Ra
|Di / Ru
|Re
|Re
|Ri/Ma
|Ro / Me
|Me
|Ri / Mu
|Mi
|Mi
|Mo/Fe
|Fa
|Fa
|Fi
|Fu / Se
|Se
|Fi / Su
|So
|So
|Si/Lo
|Sa / Le
|Le
|Si / Lu
|La
|La
|Li/Ta
|Lo / Te
|Te
|Li / Tu
|Ti
|Ti
|To/Da
|Do
|Do
|}
|}
{| class="wikitable"
 
|+uniform solfege (-a = plain, -u = up, -o = down)
== 18b-edo ==
![[19edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down)
![[18edo]]
!0
!0
!1
!1
Line 2,646: Line 2,797:
!17
!17
!18
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C
 
vD
|D
|^D
 
vDb
|Db
|Db
|D
 
|D#/Ebb
E
|Eb
|^E
|E
 
|E#/Fb
vEb
|Eb
|^Eb / ^F#
 
vF
|F
|F
|F#/Gbb
|^F
|Fx/Gb
 
vG
|G
|G
|G#/Abb
|^G
 
vGb / vA
|A
|^A
 
vAb
|Ab
|Ab
|A
 
|A#/Bbb
B
|^B
 
vBb
|Bb
|Bb
|B
|^Bb
|B#/Cb
 
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1
 
vM2
|M2
|~2
|m2
|m2
|M2
 
|A2/d3
M3
|~3
|m3
|m3
|M3
|^m3 / ^A4
|A3/d4
 
v4
|P4
|P4
|A4/dd5
|^4
|AA4/d5
 
v5
|P5
|P5
|A5/d6
|^5
 
vd5 / vM6
|M6
|~6
|m6
|m6
|M6
 
|A6/d7
M7
|~7
|m7
|m7
|M7
|^m7
|A7/d8
 
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du/Fro
|Du
 
Ro
|Ra
|Ru
 
Fro
|Fra
|Fra
|Ra
 
|Ru/No
Ma
|Mu
 
No
|Na
|Na
|Ma
|Nu / Pu
|Mu/Fo
 
Fo
|Fa
|Fa
|Pa/Sho
|Fu
|Pu/Sha
 
So
|Sa
|Sa
|Su/Flo
|Su
 
Sho / Lo
|La
|Lu
 
Flo
|Fla
|Fla
|La
 
|Lu/Tho
Ta
|Tu
 
Tho
|Tha
|Tha
|Ta
|Thu
|Tu/Do
 
Do
|Da
|Da
|-
|-
Line 2,720: Line 2,925:
|
|
|
|
|
|Pa
|
|
|
|
|
|
|Po
|Fu
|So
|Shu
|
|
|
|
|Sha
|
|
|
|
Line 2,736: Line 2,940:
|
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+circle of fifths
|+
circles of fifths
! colspan="11" |plain circle
| rowspan="4" |
! colspan="11" |up/down circle
|-
!
!
!0
!0
!11
!10
!3
!2
!12
!4
!14
!14
!6
!6
!17
!16
!8
!18
!
!9
!9
!1
!1
!12
!11
!4
!3
!13
!5
!15
!15
!7
!7
!18
!17
!10
!9
!2
!13
!5
!16
!8
!19
|-
|-
!-a
!-a
Line 2,767: Line 2,977:
|Ma
|Ma
|Ta
|Ta
|Pa
|
|
|
|
|
|
|
|
!-u
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Nu
|Thu
|Fu
|-
!-a
|
|
|
|
|
|
|
|
|
|Fra
|
|Fla
|
|Na
|
|Tha
|
|Fa
|-
|Da
!-o
!-o
|
|So
|
|Ro
|
|Lo/Sho
|
|
|
|Sho
|Fro
|Fro
|Flo
|Flo
Line 2,796: Line 3,014:
|Fo
|Fo
|Do
|Do
|
|So
|
|}
|
 
|
== 19edo ==
|
{| class="wikitable center-all"
|
|+
|
traditional solfege
|-
![[19edo]]
!-u
|
|
|
|
|
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
{| class="wikitable"
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
![[19edo]]
!0
!0
!1
!1
Line 2,924: Line 3,088:
|-
|-
!solfege
!solfege
|Da
|Do
|Du
|Di/Ro
|Ro
|Ra
|Ra
|Ru
|Re
|Mo
|Ri/Ma
|Ma
|Me
|Mu
|Mi
|Fa/Po
|Mo/Fe
|Fu/Pa
|Fa
|Fi
|Se
|So
|So
|Sa
|Si/Lo
|Su
|Le
|Lo
|La
|La
|Lu
|Li/Ta
|To
|Te
|Ta
|Ti
|Tu/Do
|To/Da
|Da
|Do
|-
|}
!extras
{| class="wikitable center-all"
|
|+
|
uniform solfege (-a = plain, -u = up, -o = down)
|
![[19edo]]
|
|
|
|
|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"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!0
!1
!1
Line 2,991: Line 3,133:
!18
!18
!19
!19
!20
|-
|-
!cents
!notes
|0
|C
|60
|C#/Dbb
|120
|Db
|180
|D
|240
|D#/Ebb
|300
|Eb
|360
|E
|420
|E#/Fb
|480
|F
|540
|F#/Gbb
|600
|Fx/Gb
|660
|720
|780
|840
|900
|960
|1020
|1080
|1140
|1200
|-
!notes
|C
|^Db
|vvD
|vD
|D/Eb
|^Eb
|vvE
|vE
|F
|^F/^Gb
|^^F/vvG
|vF#/vG
|G
|G
|^Ab
|G#/Abb
|vvA
|Ab
|vA
|A
|A/Bb
|A#/Bbb
|^Bb
|Bb
|vvB
|B
|vB
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|A1/d2
|~2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|~3
|M3
|vM3
|A3/d4
|P4
|P4
|^4/^d5
|A4/dd5
|~4/~5
|AA4/d5
|vA4/v5
|P5
|P5
|^m6
|A5/d6
|~6
|m6
|vM6
|M6
|M6/m7
|A6/d7
|^m7
|m7
|~7
|M7
|vM7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du/Fro
|Ri
|Fra
|Ro
|Ra
|Ra/Na
|Ru/No
|Nu
|Na
|Mi
|Ma
|Mo
|Mu/Fo
|Fa
|Fa
|Fu/Shu
|Pa/Sho
|Fi/Si
|Pu/Sha
|Po/So
|Sa
|Sa
|Flu
|Su/Flo
|Li
|Fla
|Lo
|La
|La/Tha
|Lu/Tho
|Thu
|Tha
|Ti
|Ta
|To
|Tu/Do
|Da
|Da
|-
|-
!extras
!extras
|
|
|Du
|
|
|
|
Line 3,093: Line 3,207:
|
|
|
|
|
|Ma
|
|
|
|
|Po
|Fu
|So
|Shu
|
|
|Fla
|
|
|
|
Line 3,105: Line 3,220:
|
|
|
|
|Do
|
|
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="6" |plain circle
circle of fifths
| rowspan="4" |
!
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |mid circle
| rowspan="4" |
! colspan="6" |down circle
|-
!0
!0
!12
!11
!4
!3
!16
!14
!8
!6
!20
!1
!13
!5
!17
!17
!9
!9
!1
!1
!2
!12
!14
!4
!6
!15
!7
!18
!18
!10
!10
!2
!2
!2
!13
!11
!5
!5
!14
!16
!8
!8
!2
!19
|-
|-
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|-
!-o
|
|
|
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|Shu
|Fru
|
|
|
|
|
|
|
|
|Si
|Ri
|
|
|
|
|-
!-u
|
|
|
|
|So
|
|Ro
|
|
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable"
{| 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
|+
![[20edo]]
Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
![[19edo]]
!0
!0
!1
!1
Line 3,216: Line 3,366:
!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
|Da
|Du
|Ro
|Ra
|Ru
|Ru
|Re
|Mo
|Ro
|Ma
|Ra/Mi
|Mu
|Mu
|Me
|Fa/Po
|Mo
|Fu/Pa
|Ma/Fa
|Fu
|Fe/Se
|So
|So
|Sa/Li
|Sa
|Su
|Lo
|La
|Lu
|Lu
|Le
|Lo
|La/Ti
|Tu
|Te
|To
|To
|Ta/Da
|Ta
|Tu/Do
|Da
|-
!extras
|
|
|
|
|
|
|
|Fo
|
|Sho
|Pu
|Shu
|
|
|
|
|
|
|
|
|}
|}
==21edo==
'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu/'''Do''' So Ro Lo Mo To Po/Fa '''Da'''
{| class="wikitable"
 
|+uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
== 20edo ==
![[21edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!0
!1
!1
Line 3,312: Line 3,483:
!19
!19
!20
!20
!21
|-
|-
!notes
!cents
|C
|0
|^C
|60
|vD
|120
|D
|180
|^D
|240
|300
|360
|420
|480
|540
|600
|660
|720
|780
|840
|900
|960
|1020
|1080
|1140
|1200
|-
!notes
|C
|^Db
|vvD
|vD
|D/Eb
|^Eb
|vvE
|vE
|vE
|E
|^E
|vF
|F
|F
|^F
|^F/^Gb
|vG
|^^F/vvG
|vF#/vG
|G
|G
|^G
|^Ab
|vvA
|vA
|vA
|A
|A/Bb
|^A
|^Bb
|vvB
|vB
|vB
|B
|^B
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|^m2
|v2
|~2
|P2
|vM2
|^2
|M2/m3
|v3
|^m3
|P3
|~3
|^3
|vM3
|v4
|P4
|P4
|^4
|^4/^d5
|v5
|~4/~5
|vA4/v5
|P5
|P5
|^5
|^m6
|v6
|~6
|P6
|vM6
|^6
|M6/m7
|v7
|^m7
|P7
|~7
|^7
|vM7
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Fru
|Ri
|Ro
|Ro
|Ra
|Ra/Na
|Ru
|Nu
|Mi
|Mo
|Mo
|Ma
|Mu
|Fo
|Fa
|Fa
|Fu
|Fu/Shu
|So
|Fi/Si
|Po/So
|Sa
|Sa
|Su
|Flu
|Li
|Lo
|Lo
|La
|La/Tha
|Lu
|Thu
|Ti
|To
|To
|Ta
|Tu
|Do
|Da
|Da
|}
{| class="wikitable"
|+'''circles of fifths'''
! colspan="8" |plain circle
| rowspan="3" |
! colspan="8" |up circle
| rowspan="3" |
! colspan="8" |down circle
|-
|-
!0
!extras
!12
|
!3
|Du
!15
|
!6
|
!18
|
!9
|
!21
|
|
|Ma
|
|
|
|Fla
|
|
|
|
|
|
|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
!1
!13
!13
!4
!5
!16
!17
!7
!9
!19
!10
!1
!1
!2
!2
!14
!14
!6
!18
!10
!2
!2
!11
!5
!5
!17
!14
!8
!8
!20
!11
!2
!2
|-
|-
Line 3,423: Line 3,639:
|Ra
|Ra
|La
|La
|Ma
|
|Ta
|
|Fa
|Fru
|Da
|Flu
|Du
|Nu
|Su
|Thu
|Ru
|Lu
|Mu
|Tu
|Fu
|Fu
|Du
|
|Do
|Ri
|So
|Li
|Mi
|Ti
|Pi
|
|Ro
|Ro
|Lo
|Lo
|Mo
|Mo
|To
|To
|Fo
|Po
|Do
|
|-
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|Shu
|Fru
|
|
|
|
|Si
|Ri
|
|
|
|
|So
|Ro
|}
|}
==22edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+uniform solfege (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
Kite's diatonic solfege (-i = minor, -u = upminor, -e = mid, -o = downmajor, -a = major), see 15edo, 22edo
![[22edo]]
![[20edo]]
!0
!0
!1
!1
Line 3,469: Line 3,710:
!19
!19
!20
!20
!21
!22
|-
|-
!notes
!notes
|C
|C/Db
|Db
|^Db
|^Db
|vvD
|vD
|vD
|D
|D/Eb
|Eb
|^Eb
|^Eb
|vvE
|vE
|vE
|E
|E/F
|F
|^F
|^F/Gb
|^^F/vvG
|vF#/^Gb
|vG
|F#/vG
|G/Ab
|G
|Ab
|^Ab
|^Ab
|vvA
|vA
|vA
|A
|A/Bb
|Bb
|^Bb
|^Bb
|vvB
|vB
|vB
|B
|B/C
|C
|-
|-
!intervals
!intervals
|P1
|P1/m2
|m2
|^m2
|^m2
|~2
|vM2
|vM2
|M2
|M2/m3
|m3
|^m3
|^m3
|~3
|vM3
|vM3
|M3
|M3/P4
|P4
|^4
|^4/d5
|~4/~5
|vA4/^d5
|v5
|A4/v5
|P5/m6
|P5
|m6
|^m6
|^m6
|~6
|vM6
|vM6
|M6
|M6/m7
|m7
|^m7
|^m7
|~7
|vM7
|vM7
|M7
|M7/P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da/Ri
|Du
|Ru
Fra
|Re
|Fru
|Ro
|Ro
|Ra
|Ra/Mi
|Na
|Mu
|Nu
|Me
|Mo
|Mo
|Ma
|Ma/Fa
|Fa
|Fu
|Fu
Sha
|Fe/Se
|Po
|So
Shu
|Sa/Li
|Pa
|Lu
So
|Le
|Sa
|Fla
|Flu
|Lo
|Lo
|La
|La/Ti
|Tha
|Tu
|Thu
|Te
|To
|To
|Ta
|Ta/Da
Do
|}
|Da
 
|-
== 21edo ==
!extras
{| class="wikitable center-all"
|Fro
|+
|
uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
|
![[21edo]]
|
|No
|Ru
|
|
|Fo
|Mu
Sho
|
|
|
|Pu
Flo
|Su
|
|
|Tho
|Lu
|
|
|
|Tu
|}
{| class="wikitable"
|+'''circle of fifths'''
!
!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
|Pa
|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
|Fru
!19
|Flu
!10
|Nu
|Thu
|Fu
|Du
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|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"
|+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]]
!0
!1
!1
!2
!2
!3
!14
!4
!5
!5
!6
!17
!7
!8
!20
!11
!2
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Fu
|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
!8
!9
!9
Line 3,746: Line 3,972:
!notes
!notes
|C
|C
|^C/Db
|Db
|^Db
|^Db
|vD
|vD
Line 3,755: Line 3,981:
|E
|E
|F
|F
|^F
|^F/Gb
|vF#/^Gb
|vF#/^Gb
|vG
|F#/vG
|G
|G
|Ab
|Ab
Line 3,766: Line 3,992:
|^Bb
|^Bb
|vB
|vB
|B/vC
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/m2
|m2
|^m2
|^m2
|vM2
|vM2
Line 3,780: Line 4,006:
|M3
|M3
|P4
|P4
|^4
|^4/d5
|vA4/^d5
|vA4/^d5
|v5
|A4/v5
|P5
|P5
|m6
|m6
Line 3,791: Line 4,017:
|^m7
|^m7
|vM7
|vM7
|M7/v8
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du/Ri
|Du
|Ru
 
Fra
|Fru
|Ro
|Ro
|Ra
|Ra
|Mi
|Na
|Mu
|Nu
|Mo
|Mo
|Ma
|Ma
|Fa
|Fa
|Fu
|Fu
|Po/Shu
 
|So
Sha
|Po
 
Shu
|Pa
 
So
|Sa
|Sa
|Li
|Fla
|Lu
|Flu
|Lo
|Lo
|La
|La
|Ti
|Tha
|Tu
|Thu
|To
|To
|Ta/Do
|Ta
 
Do
|Da
|Da
|-
!extras
|Fro
|
|
|
|No
|Ru
|
|
|Fo
|Mu
Sho
|
|
|
|Pu
Flo
|Su
|
|
|Tho
|Lu
|
|
|
|Tu
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+circle of 5ths (1 non-rhyming 5th, Ti-Fa)
|+
'''circle of fifths'''
!
!
!0
!0
Line 3,853: Line 4,119:
|Ma
|Ma
|Ta
|Ta
|
|Pa
|
|
|
|
Line 3,909: Line 4,175:
|
|
|Shu
|Shu
|Ru
|Fru
|Lu
|Flu
|Mu
|Nu
|Tu
|Thu
|Fu
|Fu
|Du
|Du
Line 3,921: Line 4,187:
|
|
|-
|-
!-i
!-a
|
|
|
|
Line 3,938: Line 4,204:
|
|
|
|
|
|Sha
|Ri
|Fra
|Li
|Fla
|Mi
|Na
|Ti
|Tha
|
|Fa
|
|Da
|-
|-
!-a
!
! colspan="2" |perfect
! colspan="4" |major
|
|
! colspan="4" |downmajor
|
|
! colspan="4" |upminor
|
|
|
! colspan="4" |minor
|
! colspan="2" |perfect
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+Andrew's BC solfege
|+
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 15edo
![[22edo]]
![[22edo]]
!0
!0
Line 4,000: Line 4,253:
!notes
!notes
|C
|C
|Db
|^C/Db
|^Db
|^Db
|vD
|vD
Line 4,009: Line 4,262:
|E
|E
|F
|F
|^F/Gb
|^F
|vF#/^Gb
|vF#/^Gb
|F#/vG
|vG
|G
|G
|Ab
|Ab
Line 4,020: Line 4,273:
|^Bb
|^Bb
|vB
|vB
|B
|B/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|m2
|^1/m2
|^m2
|^m2
|vM2
|vM2
Line 4,034: Line 4,287:
|M3
|M3
|P4
|P4
|^4/d5
|^4
|vA4/^d5
|vA4/^d5
|A4/v5
|v5
|P5
|P5
|m6
|m6
Line 4,045: Line 4,298:
|^m7
|^m7
|vM7
|vM7
|M7
|M7/v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Du/Ri
|Ru
|Ro
|Ra
|Ra
|Ru
|Re
|Ma
|Me
|Mi
|Mi
|Mu
|Mo
|Mo
|Ma
|Fa
|Fa
|Fu
|Fu
|Fi
|Po/Shu
|Su
|So
|Sol
|Sa
|Li
|Lu
|Lo
|Lo
|Le
|La
|La
|Li
|Ti
|Ta
|Tu
|Tu
|Ti
|To
|Ta/Do
|Da
|Da
|Do
|}
|}
==23edo==
{| class="wikitable center-all"
{| class="wikitable"
|+
|+uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
circle of 5ths (1 non-rhyming 5th, Ti-Fa)
![[23edo]]
!
!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
!23
|-
|-
!notes
!-a
|C
|Da
|Cb
|Sa
|D#
|Ra
|D
|La
|Db
|Ma
|Dbb
|Ta
E#
|
|E
|
|Eb
|
|Ebb
|
|F#
|
|F
|
|Fb
|
|G#
|
|G
|
|Gb
|
|A#
|
|A
|
|Ab
|
|Abb
|
B#
|
|B
|
|Bb
|
|Bbb
|C#
|C
|-
|-
!intervals
!-o
|P1
|
|d1
|
|A2
|
|M2
|
|m2
|
|d2
|Do
A3
|So
|M3
|Ro
|m3
|Lo
|d3
|Mo
|A4
|To
|P4
|Po
|d4
|
|A5
|
|P5
|
|d5
|
|A6
|
|M6
|
|m6
|
|d6
|
A7
|M7
|m7
|d7
|A8
|P8
|-
!solfege
|Da
|Du
|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
!-u
|
|
|No
|Mu
|
|
|
|
|Pu
|
|
|
|
|Sho
|
|
|
|
|Flo
|Lu
|
|
|Tho
|Tu
|
|
|
|
|
|
|}
|Shu
{| class="wikitable"
|Ru
|+'''circle of fifths'''
|Lu
!
|Mu
!0
|Tu
!13
|Fu
!3
|Du
!16
!6
!19
!9
!22
!12
!2
!15
!5
!18
!8
!21
!11
!1
!14
!4
!17
!7
!20
!10
!23
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
Line 4,255: Line 4,428:
|
|
|
|
|-
!-i
|
|
|
|
Line 4,267: Line 4,442:
|
|
|
|
|-
!-o
|
|
|
|
Line 4,274: Line 4,447:
|
|
|
|
|Ri
|Li
|Mi
|Ti
|
|
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|
|
|-
!-a
|
|
|
|
Line 4,293: Line 4,465:
|
|
|
|
|-
!-u
|
|
|
|
Line 4,306: Line 4,476:
|
|
|
|
|Fru
|Fa
|Flu
|Da
|Nu
|}
|Thu
{| class="wikitable center-all"
|Fu
|+
|Du
Andrew's BC solfege
|Su
![[22edo]]
|
!0
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
==24edo==
{| class="wikitable"
|+uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
![[24edo]]
!0
!1
!1
!2
!2
Line 4,373: 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
|C
vC
|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
 
{| class="wikitable"
== 23edo ==
|+'''circles of fifths'''
{| class="wikitable center-all"
! rowspan="3" |plain
|+
circle
uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
!
![[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
|-
!intervals
|P1
|d1
|A2
|M2
|m2
|d2
 
A3
|M3
|m3
|d3
|A4
|P4
|d4
|A5
|P5
|d5
|A6
|M6
|m6
|d6
 
A7
|M7
|m7
|d7
|A8
|P8
|-
|-
!-a
!solfege
|
|Da
|
|Du
|
|Ro
|
|Ra
|
|
|Sha
|Fra
|Fra
|Fla
|Fru
 
Mo
|Ma
|Na
|Na
|Nu
|Fo
Pa
|Fa
|Fu
|So
|Sa
|Su
Sha
|Lo
|La
|Fla
|Flu
To
|Ta
|Tha
|Tha
|Fa
|Thu
|Do
|Da
|Da
|-
|-
| colspan="15" |
!extras
|-
|
!
|
!
|
!1
|Fro
!15
!5
!19
!9
!23
!13
!3
!17
!7
!21
!11
!1
|-
! rowspan="2" |up
circle
!-u
|Du
|Su
|Ru
|Ru
|Lu
|
|No
|Mu
|Mu
|Tu
|Pu
|
|
|
|
|Pu
|
|
|
|
|Sho
|
|
|
|
|-
|Flo
!-u
|Lu
|
|
|Tho
|Tu
|
|
|
|
|
|
|
|}
|
{| class="wikitable center-all"
|Shu
|+
|Fru
'''circle of fifths'''
|Flu
!
|Nu
!0
|Thu
!13
|Fu
!3
|Du
!16
!6
!19
!9
!22
!12
!2
!15
!5
!18
!8
!21
!11
!1
!14
!4
!17
!7
!20
!10
!23
|-
|-
! rowspan="2" |down
!-a
circle
|Da
!-o
|Sa
|Fro
|Ra
|Flo
|La
|No
|Ma
|Tho
|Ta
|Fo
|Pa
|Do
|
|So
|
|Ro
|
|Lo
|
|Mo
|
|To
|Po
|
|
|-
!-o
|
|
|
|
Line 4,623: Line 4,787:
|
|
|
|
|Sho
|Fro
|}
{| class="wikitable"
|+uniform solfege #2 (-a = plain, -i = mid/down)
![[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
|
|vDb
|
|Db
|
|vD
|
|D
|
|vEb
|
|Eb
|Fo
|vE
|Do
|E
|So
|vF
|Ro
|F
|Lo
|vF#/vGb
|Mo
|F#/Gb
|To
|vG
|
|G
|
|vAb
|
|Ab
|
|vA
|
|A
|
|vBb
|
|Bb
|
|vB
|
|B
|
|vC
|
|C
|-
!-u
|
|
|
|
|
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|
|
|
|
|
|
|-
|-
!intervals
!-a
|P1
|
|vm2
|
|m2
|
|~2
|
|M2
|
|vm3
|
|m3
|
|~3
|
|M3
|
|v4
|
|P4
|
|vA4/vd5
|
|A4/d5
|
|v5
|
|P5
|
|vm6
|
|m6
|
|~6
|Sha
|M6
|vm7
|m7
|~7
|M7
|v8
|P8
|-
!solfege
|Da
|Fri
|Fra
|Fra
|Ri
|Fla
|Ra
|Ni
|Na
|Na
|Mi
|Tha
|Ma
|Fi
|Fa
|Fa
|Pi/Shi
|Pa/Sha
|Si
|Sa
|Fli
|Fla
|Li
|La
|Thi
|Tha
|Ti
|Ta
|Di
|Da
|Da
|}plain/mid rings:
|}


Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
== 24edo ==
 
{| class="wikitable center-all"
Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
|+
 
uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''
{| class="wikitable"
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
![[24edo]]
![[24edo]]
!0
!0
Line 4,774: Line 4,901:
|C
|C
|^C
|^C
vDb
vDb
|Db
|Db
|vD
|^Db
 
vD
|D
|D
|^D
|^D
vEb
vEb
|Eb
|Eb
|vE
|^Eb
 
vE
|E
|E
|^E
|^E
vF
vF
|F
|F
|^F
|^F
vGb
 
vF# vGb
|F#
|F#
Gb
Gb
|^F#
|^F#
vG
 
^Gb vG
|G
|G
|^G
|^G
vAb
vAb
|Ab
|Ab
|vA
|^Ab
 
vA
|A
|A
|^A
|^A
vBb
vBb
|Bb
|Bb
|vB
|^Bb
 
vB
|B
|B
|^B
|^B
vC
vC
|C
|C
Line 4,810: Line 4,954:
|P1
|P1
|^1
|^1
vm2
vm2
|m2
|m2
Line 4,815: Line 4,960:
|M2
|M2
|^M2
|^M2
vm3
vm3
|m3
|m3
Line 4,820: Line 4,966:
|M3
|M3
|^M3
|^M3
v4
v4
|P4
|P4
|^4
|~4
 
vd5
vd5
|A4
|A4
d5
d5
|^A4
|~5
 
v5
v5
|P5
|P5
|^5
|^5
vm6
vm6
|m6
|m6
Line 4,835: Line 4,986:
|M6
|M6
|^M6
|^M6
vm7
vm7
|m7
|m7
Line 4,840: Line 4,992:
|M7
|M7
|^M7
|^M7
v8
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Da
Ru
|Du
|Ro
 
Fro
|Fra
|Fru
 
Ro
|Ra
|Ra
|Re
|Ru
|Ri
 
Mu
No
|Mo
|Na
|Nu
 
Mo
|Ma
|Ma
|Me
|Mu
|Mi
 
Fu
Fo
|Fo
|Fa
|Fa
Su
|Fu
|Fe
 
So
Po
|Fi
 
Sa
Sho
|Se
|Pa
|Si
 
Lu
Sha
|Lo
|Pu
 
Shu So
|Sa
|Su
 
Flo
|Fla
|Flu
 
Lo
|La
|La
|Le
|Lu
|Li
 
Tu
Tho
|To
|Tha
|Thu
 
To
|Ta
|Ta
|Te
|Tu
|Ti
 
Du
Do
|Do
|Da
|}
|}
==25edo==
Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.
{| class="wikitable"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[25edo]]
'''circles of fifths'''
!edosteps
! rowspan="3" |plain
! colspan="2" |solfege names
 
! colspan="4" |[[Ups and downs notation|ups and downs]] names
circle
!
!0
!14
!4
!18
!8
!22
!12
!2
!16
!6
!20
!10
!24
|-
|-
!unisons
!-a
|0-1
|Da
| colspan="2" |Da Du/Fru
|Sa
| colspan="2" |P1 ^1/^m2
|Ra
| colspan="2" |C ^C/^Db
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
!2nds
!-a
|1-5
|
|Du/Fru Fri
|
|Ri Ro Ra/Na
|
|^1/^m2 v~2
|
|^~2 vM2 M2/m3
|
|^C/^Db ^^Db
|
|vvD vD D/Eb
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!3rds
| colspan="15" |
|5-9
|Ra/Na Nu Ni
|Mi Mo
|M2/m3 ^m3 v~3
|^~3 vM3
|D/Eb ^Eb ^^Eb
|vvE vE
|-
|-
!4ths
!
|10
!
| colspan="2" |Fa
!1
| colspan="2" |P4
!15
| colspan="2" |F
!5
!19
!9
!23
!13
!3
!17
!7
!21
!11
!1
|-
|-
!tritones
! rowspan="2" |up
|11-14
 
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
circle
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
!-u
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!5ths
!-u
|15
|
| colspan="2" |Sa
|
| colspan="2" |P5
|
| colspan="2" |G
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!6ths
! rowspan="2" |down
|16-20
 
|Flu Fli
circle
|Li Lo La/Tha
!-o
|^m6 v~6
|Fro
|^~6 vM6 M6/m7
|Flo
|^Ab ^^Ab
|No
|vvA vA A/Bb
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!7ths
!-o
|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)
|
| colspan="2" |vM7/v8 P8 (^8)
|Sho
| colspan="2" |vB/vC C (^C)
|Fro
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+Uniform solfege (-a = plain, -u = up, -o = down, -i = mid) (duplicate names are '''bolded)'''
|+
![[25edo]]
Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
!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'''
|^C
| colspan="2" |P1 '''^1'''
 
| colspan="2" |C '''^C'''
vDb
|-
|Db
!2nds
|vD
|'''1-5'''
|D
|'''Fru''' Fri
|^D
|Ri Ro '''Ra'''
 
|'''^m2''' v~2
vEb
|^~2 vM2 '''M2'''
|Eb
|'''^Db''' ^^Db
|vE
|vvD vD '''D'''
|E
|-
|^E
!3rds
 
|'''5'''-9
vF
|'''Na''' Nu Ni
|F
|Mi Mo
|^F
|'''m3''' ^m3 v~3
|^~3 vM3
|'''Eb''' ^Eb ^^Eb
|vvE vE
|-
!4ths
|10
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |F
|-
!tritones
|11-14
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
!5ths
|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 Fru Flu Nu Thu Fu/Shu
vGb
|F#


downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
Gb
|^F#


upmid ring: Pi/Si Ri Li Mi Ti Pi/Si
vG
|G
|^G


down ring: Po/So Ro Lo Mo To/Do Po/So
vAb
==26edo==
|Ab
{| class="wikitable"
|vA
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
|A
![[26edo]]
|^A
!edosteps
 
! colspan="2" |solfege
vBb
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|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
|~2
|M2
|^M2
 
vm3
|m3
|~3
|M3
|^M3
 
v4
|P4
|^4
 
vd5
|A4
 
d5
|^A4
 
v5
|P5
|^5
 
vm6
|m6
|~6
|M6
|^M6
 
vm7
|m7
|~7
|M7
|^M7
 
v8
|P8
|-
|-
!2nds
!solfege
|2-5
|Do
|Fro Fra
|Da
|Ra Ru
 
|d2 m2
Ru
|M2 A2
|Ro
|Dbb Db
|Ra
|D D#
|Re
|Ri
 
Mu
|Mo
|Ma
|Me
|Mi
 
Fu
|Fo
|Fa
 
Su
|Fe
 
So
|Fi
 
Sa
|Se
|Si
 
Lu
|Lo
|La
|Le
|Li
 
Tu
|To
|Ta
|Te
|Ti
 
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"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
![[25edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!3rds
!unisons
|6-9
|0-1
|No Na
| colspan="2" |Da Du/Fru
|Ma Mu
| colspan="2" |P1 ^1/^m2
|d3 m3
| colspan="2" |C ^C/^Db
|M3 A3
|-
|Ebb Eb
!2nds
|E E#
|1-5
|Du/Fru Fri
|Ri Ro Ra/Na
|^1/^m2 v~2
|^~2 vM2 M2/m3
|^C/^Db ^^Db
|vvD vD D/Eb
|-
!3rds
|5-9
|Ra/Na Nu Ni
|Mi Mo
|M2/m3 ^m3 v~3
|^~3 vM3
|D/Eb ^Eb ^^Eb
|vvE vE
|-
|-
!4ths
!4ths
|10-12
|10
| colspan="2" |Fo Fa Fu/Pa
| colspan="2" |Fa
| colspan="2" |d4 P4 A4
| colspan="2" |P4
| colspan="2" |Fb F F#
| colspan="2" |F
|-
|-
!tritone
!tritones
|13
|11-14
| colspan="2" |Pu/Sho
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |AA4/dd5
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |Fx/Gbb
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
|-
!5ths
!5ths
|14-16
|15
| colspan="2" |Sha/So Sa Su
| colspan="2" |Sa
| colspan="2" |d5 P5 A5
| colspan="2" |P5
| colspan="2" |Gb G G#
| colspan="2" |G
|-
|-
!6ths
!6ths
|17-20
|16-20
|Flo Fla
|Flu Fli
|La Lu
|Li Lo La/Tha
|d6 m6
|^m6 v~6
|M6 A6
|^~6 vM6 M6/m7
|Abb Ab
|^Ab ^^Ab
|A A#
|vvA vA A/Bb
|-
|-
!7ths
!7ths
|21-24
|20-24
|Tho Tha
|La/Tha Thu Thi
|Ta Tu
|Ti To/Do
|d7 m7
|M6/m7
|M7 A7
|^~7 vM7/v8
|Bbb Bb
|A/Bb ^Bb ^^Bb
|B B#
|vvB vB/vC
|-
|-
!8ves
!8ves
|25-26 (27)
|24-25 (26)
| colspan="2" |Do Da (Du)
| colspan="2" |To/Do Da (Du)
| colspan="2" |d8 P8 (A8)
| colspan="2" |vM7/v8 P8 (^8)
| colspan="2" |Cb C (C#)
| colspan="2" |vB/vC C (^C)
|}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"
{| 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 = mid)  (duplicate names are '''bolded)'''
![[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'''
|Do Di
| colspan="2" |P1 '''^1'''
|P1 A1
| colspan="2" |C '''^C'''
|C C#
|-
|-
!2nds
!2nds
|2-5
|'''1-5'''
|Ro Ri Ra Ru
|'''Fru''' Fri
|Rih Ru Re Ri
|Ri Ro '''Ra'''
|d2 m2 M2 A2
|'''^m2''' v~2
|Dbb Db D D#
|^~2 vM2 '''M2'''
|'''^Db''' ^^Db
|vvD vD '''D'''
|-
|-
!3rds
!3rds
|6-9
|'''5'''-9
|Mo Mi Ma Mu
|'''Na''' Nu Ni
|Ma Me Muh/Mi Maa
|Mi Mo
|d3 m3 M3 A3
|'''m3''' ^m3 v~3
|Ebb Eb E E#
|^~3 vM3
|'''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'''
|d6 m6 M6 A6
|^m6 v~6
|Abb Ab A A#
|^~6 vM6 '''M6'''
|^Ab ^^Ab
|vvA vA '''A'''
|-
|-
!7ths
!7ths
|21-24
|'''20-24'''
|To Ti Ta Tu
|'''Tha''' Thu Thi
|Ta Te Tu/Ti To
|Ti '''To'''
|d7 m7 M7 A7
|'''m7'''
|Bbb Bb B B#
|^~7 '''vM7'''
|'''Bb''' ^Bb ^^Bb
|vvB '''vB'''
|-
|-
!8ves
!8ves
|25-26 (27)
|'''24'''-25 (26)
|Do Da (Du)
| colspan="2" |'''Do''' Da (Du)
|Da Do (Di)
| colspan="2" |'''v8''' P8 (^8)
|d8 P8 (A8)
| colspan="2" |'''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 ==
* plain ring: Da Sa Ra/Na La/Tha Fa Da
{| class="wikitable"
* up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
* downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
![[27edo]]
* upmid ring: Pi/Si Ri Li Mi Ti Pi/Si
!edosteps
* down ring: Po/So Ro Lo Mo To/Do Po/So
! colspan="2" |solfege names
{| class="wikitable center-all"
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|+
'''circles of fifths'''
!
! colspan="6" |plain circle
|-
|-
!unisons
! rowspan="3" |plain
|0-1
 
| colspan="2" |Da Du/Fra
circle
| colspan="2" |P1 ^1/m2
!0
| colspan="2" |C ^C/Db
!15
!5
!20
!10
!25
|-
|-
!2nds
|Da
|1-5
|Sa
|Du/Fra Fru
|Ra
|Ri Ro Ra
|La
|^1/m2 ^m2
|
|~2 vM2 M2
|
|^C/Db ^Db
|vvD vD D
|-
|-
!3rds
|
|6-10
|
|Na Nu
|Na
|Mi Mo Ma
|Tha
|m3 ^m3
|Fa
|~3 vM3 M3
|Da
|Eb ^Eb
|vvE vE E
|-
|-
!4ths
| colspan="7" |
|11
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |F
|-
|-
!tritones
! rowspan="3" |up
|12-15
 
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
circle
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
!1
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
!16
!6
!21
!11
!1
|-
|-
!5ths
|Fru
|16
|Flu
| colspan="2" |Sa
|Nu
| colspan="2" |P5
|Thu
| colspan="2" |G
|Fu
|Du
|-
|-
!6ths
|Du
|17-21
|
|Fla Flu
|
|Li Lo La
|
|m6 ^m6
|Shu
|~6 vM6 M6
|Fru
|Ab ^Ab
|vvA vA A
|-
|-
!7ths
| colspan="7" |
|22-26
|Tha Thu
|Ti To Ta/Do
|m7 ^m7
|~7 vM7 M7/v8
|Bb ^Bb
|vvB vB B/vC
|-
|-
!8ves
! rowspan="3" |downmid
|26-27 (28)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| 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 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.
circle
==28edo==
!2
{| class="wikitable"
!17
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
!7
![[28edo]]
!22
!edosteps
!12
!solfege names
!2
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
|Fri
|0-2
|Fli
|Da Du Di/Re
|Ni
|P1 ^1 ^^1/vv2
|Thi
|C ^C ^^C/vvD
|Fi
|
|-
|-
!2nds
|
|2-6
|
|Di/Re Ro Ra Ru Ri/Me
|
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|
|^^C/vvD vD D ^D ^^D/vvE
|Shi
|Fri
|-
|-
!3rds
| colspan="7" |
|6-10
|Ri/Me Mo Ma Mu Mi/Fe
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|^^D/vvE vE E ^E ^^E/vvF
|-
|-
!4ths
! rowspan="3" |upmid
|10-14
 
|Mi/Fe Fo Fa Fu Fi/Se
circle
|^^3/vv4 v4 P4 ^4 ^^4/vv5
!3
|^^E/vvF vF F ^F ^^F/vvG
!18
!8
!23
!13
!3
|-
|-
!5ths
|Ri
|14-18
|Li
|Fi/Se So Sa Su Si/Le
|Mi
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|Ti
|^^F/vvG vG G ^G ^^G/vvA
|Pi
|
|-
|-
!6ths
|
|18-22
|
|Si/Le Lo La Lu Li/Te
|
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|
|^^G/vvA vA A ^A ^^A/vvB
|Si
|Ri
|-
|-
!7ths
| colspan="7" |
|22-26
|Li/Te To Ta Tu Ti/De
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|^^A/vvB vB B ^B ^^B/vvC
|-
|-
!8ves
! rowspan="3" |down
|26-28 (29 30)
 
|Ti/De Do Da (Du Di)
circle
|^^7/vv8 v8 P8 (^8 ^^8)
|^^B/vvC vC C (^C ^^C)
|}
{| class="wikitable"
|+'''circles of fifths'''
|-
! rowspan="2" |plain circle
!0
!16
!4
!4
!20
!19
!8
!9
!24
!24
!12
!14
!28
!4
|-
|-
|Da
|Ro
|Sa
|Lo
|Ra
|Mo
|La
|To
|Ma
|Po
|Ta
|
|Fa
|Da
|-
|-
| colspan="9" |
|
|
|
|
|So
|Ro
|}
 
== 26edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
![[26edo]]
!edosteps
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
! rowspan="2" |up circle
!unisons
!1
|0-1
!17
| colspan="2" |Da Du
!5
| colspan="2" |P1 A1
!21
| colspan="2" |C C#
!9
!25
!13
!1
|-
|-
|Du
!2nds
|Su
|2-5
|Ru
|Fro Fra
|Lu
|Ra Ru
|Mu
|d2 m2
|Tu
|M2 A2
|Fu
|Dbb Db
|Du
|D D#
|-
|-
| colspan="9" |
!3rds
|6-9
|No Na
|Ma Mu
|d3 m3
|M3 A3
|Ebb Eb
|E E#
|-
|-
! rowspan="2" |down circle
!4ths
!27
|10-12
!15
| colspan="2" |Fo Fa Fu/Pa
!3
| colspan="2" |d4 P4 A4
!19
| colspan="2" |Fb F F#
!7
|-
!23
!tritone
!11
|13
!27
| colspan="2" |Pu/Sho
|-
| colspan="2" |AA4/dd5
|Do
| colspan="2" |Fx/Gbb
|So
|Ro
|Lo
|Mo
|To
|Fo
|Do
|-
|-
| colspan="9" |
!5ths
|14-16
| colspan="2" |Sha/So Sa Su
| colspan="2" |d5 P5 A5
| colspan="2" |Gb G G#
|-
|-
! rowspan="3" |in-between circle
!6ths
!2
|17-20
!18
|Flo Fla
!6
|La Lu
!22
|d6 m6
!10
|M6 A6
!26
|Abb Ab
!14
|A A#
!2
|-
|-
|Di
!7ths
|Si
|21-24
|Ri
|Tho Tha
|Li
|Ta Tu
|Mi
|d7 m7
|Ti
|M7 A7
|Fi
|Bbb Bb
|Di
|B B#
|-
|-
|Re
!8ves
|Le
|25-26 (27)
|Me
| colspan="2" |Do Da (Du)
|Te
| colspan="2" |d8 P8 (A8)
|Fe
| colspan="2" |Cb C (C#)
|De
|}
|Se
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'''
|Re
{| class="wikitable center-all"
|}
|+
==29edo==
Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
{| class="wikitable"
![[26edo]]
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
!Kite's
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!Phylingual's
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du/Fro
|Da Du
| colspan="2" |P1 ^1/vm2
|Do Di
| colspan="2" |C ^C/vDb
|P1 A1
|C C#
|-
|-
!2nds
!2nds
|1-6
|2-5
|Du/Fro Fra Fru
|Ro Ri Ra Ru
|Ro Ra Ru/No
|Rih Ru Re Ri
|^1/vm2 m2 ^m2
|d2 m2 M2 A2
|vM2 M2 ^M2/vm3
|Dbb Db D D#
|^C/vDb Db ^Db
|vD D ^D/vEb
|-
|-
!3rds
!3rds
|6-11
|6-9
|Ru/No Na Nu
|Mo Mi Ma Mu
|Mo Ma Mu/Fo
|Ma Me Muh/Mi Maa
|^M2/vm3 m3 ^m3
|d3 m3 M3 A3
|vM3 M3 ^M3/v4
|Ebb Eb E E#
|^D/vEb Eb ^Eb
|vE E ^E/vF
|-
|-
!4ths
!4ths
|11-13
|10-12
| colspan="2" |Mu/Fo Fa Fu
|Fo Fa Fu/Pa
| colspan="2" |^M3/v4 P4 ^4
|Fe Fa Fu
| colspan="2" |^E/vF F ^F
|d4 P4 A4
|Fb F F#
|-
|-
!tritones
!tritone
|14-15
|13
| colspan="2" |Po/Sha Pa/Shu
|Pu/Sho
| colspan="2" |vA4/d5 A4/^d5
|Fi/Se
| colspan="2" |vF#/Gb F#/^Gb
|AA4/dd5
|Fx/Gbb
|-
|-
!5ths
!5ths
|16-18
|14-16
| colspan="2" |So Sa Su/Flo
|Sha/So Sa Su
| colspan="2" |v5 P5 ^5/vm6
|Su So Si
| colspan="2" |vG G ^G/vAb
|d5 P5 A5
|Gb G G#
|-
|-
!6ths
!6ths
|18-23
|17-20
|Su/Flo Fla Flu
|Lo Li La Lu
|Lo La Lu/Tho
|Leh Le/Lu La Li
|^5/vm6 m6 ^m6
|d6 m6 M6 A6
|vM6 M6 ^M6/vm7
|Abb Ab A A#
|^G/vAb Ab ^Ab
|vA A ^A/vBb
|-
|-
!7ths
!7ths
|23-28
|21-24
|Lu/Tho Tha Thu
|To Ti Ta Tu
|To Ta Tu/Do
|Ta Te Tu/Ti To
|^M6/vm7 m7 ^m7
|d7 m7 M7 A7
|vM7 M7 ^M7/v8
|Bbb Bb B B#
|^A/vBb Bb ^Bb
|vB B ^B/vC
|-
|-
!8ves
!8ves
|28-29 (30)
|25-26 (27)
| colspan="2" |Tu/Do Da (Du)
|Do Da (Du)
| colspan="2" |^M7/v8 P8 (^8)
|Da Do (Di)
| colspan="2" |^B/vC C (^C)
|d8 P8 (A8)
|}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'''
|Cb C (C#)
{| class="wikitable"
|}
|+Phylingual's solfege
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'''
![[29edo]]
 
== 27edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[27edo]]
!edosteps
!edosteps
!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
|0-1
|0-1
|Do Di
| colspan="2" |Da Du/Fra
|P1 ^1
| colspan="2" |P1 ^1/m2
|C ^C
| colspan="2" |C ^C/Db
|-
|-
!2nds
!2nds
|2-6
|1-5
|Rih Ra Ru Re Raw
|Du/Fra Fru
|m2 ^m2 vM2 M2 ^M2
|Ri Ro Ra
|Db ^Db vD D ^D
|^1/m2 ^m2
|~2 vM2 M2
|^C/Db ^Db
|vvD vD D
|-
|-
!3rds
!3rds
|7-11
|6-10
|Meh Me Mi Maa Maw
|Na Nu
|m3 ^m3 vM3 M3 ^M3
|Mi Mo Ma
|Eb ^Eb vE E ^E
|m3 ^m3
|~3 vM3 M3
|Eb ^Eb
|vvE vE E
|-
|-
!4ths
!4ths
|12-14
|11
|Fa Fu Fi
| colspan="2" |Fa
|P4 ^4 ^^4
| colspan="2" |P4
|F ^F ^^F
| colspan="2" |F
|-
!tritones
|12-15
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
|-
|-
!5ths
!5ths
|15-18
|16
|Se Su So Saw
| colspan="2" |Sa
|vv5 v5 P5 ^5
| colspan="2" |P5
|vvG vG G ^G
| colspan="2" |G
|-
|-
!6ths
!6ths
|19-23
|17-21
|Leh Le La Laa Law
|Fla Flu
|m6 ^m6 vM6 M6 ^M6
|Li Lo La
|Ab ^Ab vA A ^A
|m6 ^m6
|~6 vM6 M6
|Ab ^Ab
|vvA vA A
|-
|-
!7ths
!7ths
|24-27
|22-26
|Teh Te Ti Taa
|Tha Thu
|m7 ^m7 vM7 M7
|Ti To Ta/Do
|Bb ^Bb vB B
|m7 ^m7
|~7 vM7 M7/v8
|Bb ^Bb
|vvB vB B/vC
|-
|-
!8ves
!8ves
|28-29 (30)
|26-27 (28)
|Da Do (Di)
| colspan="2" |Ta/Do Da (Du)
|v8 P8 (^8)
| colspan="2" |M7/v8 P8 (^8)
|vC C (^C)
| colspan="2" |B/vC C (^C)
|}
|}
==31edo==
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'''
{| class="wikitable"
 
|+uniform solfege (-a = plain, -u = up, -o = down)
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
![[31edo]]
 
== 28edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
![[28edo]]
!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
|Da Du Di/Re
| colspan="2" |P1 ^1
|P1 ^1 ^^1/vv2
| colspan="2" |C ^C
|C ^C ^^C/vvD
|-
|-
!2nds
!2nds
|2-6
|2-6
|Fro Fra
|Di/Re Ro Ra Ru Ri/Me
|Ro Ra Ru
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|vm2 m2
|^^C/vvD vD D ^D ^^D/vvE
|~2 M2 ^M2
|vDb Db
|vD D ^D
|-
|-
!3rds
!3rds
|7-11
|6-10
|No Na
|Ri/Me Mo Ma Mu Mi/Fe
|Mo Ma Mu
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|vm3 m3
|^^D/vvE vE E ^E ^^E/vvF
|~3 M3 ^M3
|vEb Eb
|vE E ^E
|-
|-
!4ths
!4ths
|12-14
|10-14
| colspan="2" |Fo Fa Fu/Po
|Mi/Fe Fo Fa Fu Fi/Se
| colspan="2" |v4 P4 ^4
|^^3/vv4 v4 P4 ^4 ^^4/vv5
| colspan="2" |vF F ^F/vF#
|^^E/vvF vF F ^F ^^F/vvG
|-
!tritones
|15-16
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |F#/vGb ^F#/Gb
|-
|-
!5ths
!5ths
|17-19
|14-18
| colspan="2" |So Sa Su
|Fi/Se So Sa Su Si/Le
| colspan="2" |v5 P5 ^5
|^^4/vv5 v5 P5 ^5 ^^5/vv6
| colspan="2" |vG G ^G
|^^F/vvG vG G ^G ^^G/vvA
|-
|-
!6ths
!6ths
|20-24
|18-22
|Flo Fla
|Si/Le Lo La Lu Li/Te
|Lo La Lu
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|vm6 m6
|^^G/vvA vA A ^A ^^A/vvB
|~6 M6 ^M6
|vAb Ab
|vA A ^A
|-
|-
!7ths
!7ths
|25-29
|22-26
|Tho Tha
|Li/Te To Ta Tu Ti/De
|To Ta Tu
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|vm7 m7
|^^A/vvB vB B ^B ^^B/vvC
|~7 M7 ^M7
|vBb Bb
|vB B ^B
|-
|-
!8ves
!8ves
|30-31 (32)
|26-28 (29 30)
| colspan="2" |Do Da (Du)
|Ti/De Do Da (Du Di)
| colspan="2" |v8 P8 (^8)
|^^7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |vC C (^C)
|^^B/vvC vC C (^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"
{| class="wikitable center-all"
|+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
|+
![[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
|-
|-
!unisons
|Da
|Do Da
|Sa
|P1 ^1
|Ra
|C ^C
|La
|0-1
|Ma
|Ta
|Fa
|Da
|-
|-
!2nds
| colspan="9" |
|Ru Ro Ra Re Ri
|vm2 m2 ~2 M2 ^M2
|vDb Db vD D ^D
|2-6
|-
|-
!3rds
! rowspan="2" |up circle
|Mu Mo Ma Me Mi
!1
|vm3 m3 ~3 M3 ^M3
!17
|vEb Eb vE E ^E
!5
|7-11
!21
!9
!25
!13
!1
|-
|-
!4ths
|Du
|Fu Fo Fa
|Su
|v4 P4 ^4
|Ru
|vF F ^F
|Lu
|12-14
|Mu
|Tu
|Fu
|Du
|-
|-
!tritones
| colspan="9" |
|Fe/Su Fi/So
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
! rowspan="2" |down circle
|Sa Se Si
!27
|v5 P5 ^5
!15
|vG G ^G
!3
|17-19
!19
!7
!23
!11
!27
|-
|-
!6ths
|Do
|Lu Lo La Le Li
|So
|vm6 m6 ~6 M6 ^M6
|Ro
|vAb Ab vA A ^A
|Lo
|20-24
|Mo
|To
|Fo
|Do
|-
|-
!7ths
| colspan="9" |
|Tu To Ta Te Ti
|vm7 m7 ~7 M7 ^M7
|vBb Bb vB B ^B
|25-29
|-
|-
!8ves
! rowspan="3" |in-between circle
|Du Do (Da)
!2
|v8 P8 (^8)
!18
|vC C (^C)
!6
|30-31 (32)
!22
|}As a circle of 5ths:
!10
 
!26
<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'''
!14
{| class="wikitable"
!2
|+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
|-
![[31edo]]
|Di
!solfege names
|Si
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|Ri
|Li
|Mi
|Ti
|Fi
|Di
|-
|Re
|Le
|Me
|Te
|Fe
|De
|Se
|Re
|}
 
== 29edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|Da Du
|P1 ^1
|C ^C
|0-1
|0-1
| colspan="2" |Da Du/Fro
| colspan="2" |P1 ^1/vm2
| colspan="2" |C ^C/vDb
|-
|-
!2nds
!2nds
|Ro Ri Re Ra Ru
|1-6
|vm2 m2 ~2 M2 ^M2
|Du/Fro Fra Fru
|vDb Db vD D ^D
|Ro Ra Ru/No
|2-6
|^1/vm2 m2 ^m2
|vM2 M2 ^M2/vm3
|^C/vDb Db ^Db
|vD D ^D/vEb
|-
|-
!3rds
!3rds
|Mo Mi Me Ma Mu
|6-11
|vm3 m3 ~3 M3 ^M3
|Ru/No Na Nu
|vEb Eb vE E ^E
|Mo Ma Mu/Fo
|7-11
|^M2/vm3 m3 ^m3
|vM3 M3 ^M3/v4
|^D/vEb Eb ^Eb
|vE E ^E/vF
|-
|-
!4ths
!4ths
|Fo Fi Fe
|11-13
|v4 P4 ^4
| colspan="2" |Mu/Fo Fa Fu
|vF F ^F
| colspan="2" |^M3/v4 P4 ^4
|12-14
| colspan="2" |^E/vF F ^F
|-
|-
!tritones
!tritones
|Fa/So Fu/Si
|14-15
|A4/vd5 ^A4/d5
| colspan="2" |Po/Sha Pa/Shu
|F#/vGb ^F#/Gb
| colspan="2" |vA4/d5 A4/^d5
|15-16
| colspan="2" |vF#/Gb F#/^Gb
|-
|-
!5ths
!5ths
|Se Sa Su
|16-18
|v5 P5 ^5
| colspan="2" |So Sa Su/Flo
|vG G ^G
| colspan="2" |v5 P5 ^5/vm6
|17-19
| colspan="2" |vG G ^G/vAb
|-
|-
!6ths
!6ths
|Lo Li Le La Lu
|18-23
|vm6 m6 ~6 M6 ^M6
|Su/Flo Fla Flu
|vAb Ab vA A ^A
|Lo La Lu/Tho
|20-24
|^5/vm6 m6 ^m6
|vM6 M6 ^M6/vm7
|^G/vAb Ab ^Ab
|vA A ^A/vBb
|-
|-
!7ths
!7ths
|To Ti Te Ta Tu
|23-28
|vm7 m7 ~7 M7 ^M7
|Lu/Tho Tha Thu
|vBb Bb vB B ^B
|To Ta Tu/Do
|25-29
|^M6/vm7 m7 ^m7
|vM7 M7 ^M7/v8
|^A/vBb Bb ^Bb
|vB B ^B/vC
|-
|-
!8ves
!8ves
|De Da (Du)
|28-29 (30)
|v8 P8 (^8)
| colspan="2" |Tu/Do Da (Du)
|vC C (^C)
| colspan="2" |^M7/v8 P8 (^8)
|30-31 (32)
| colspan="2" |^B/vC C (^C)
|}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>
|}
{| class="wikitable"
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'''
|+Andrew's solfege
{| class="wikitable center-all"
![[31edo]]
|+
Phylingual's solfege
![[29edo]]
!edosteps
!edosteps
!solfege names
!solfege names
Line 5,748: Line 6,119:
!2nds
!2nds
|2-6
|2-6
|Ro Ra Ru Re Ri
|Rih Ra Ru Re Raw
|vm2 m2 ~2 M2 ^M2
|m2 ^m2 vM2 M2 ^M2
|vDb Db vD D ^D
|Db ^Db vD D ^D
|-
|-
!3rds
!3rds
|7-11
|7-11
|Ma Me Mu Mi Mo
|Meh Me Mi Maa Maw
|vm3 m3 ~3 M3 ^M3
|m3 ^m3 vM3 M3 ^M3
|vEb Eb vE E ^E
|Eb ^Eb vE E ^E
|-
|-
!4ths
!4ths
|12-15
|12-14
|Fe Fa Fu Fi
|Fa Fu Fi
|v4 P4 ^4 A4
|P4 ^4 ^^4
|vF F ^F F#
|F ^F ^^F
|-
|-
!5ths
!5ths
|16-19
|15-18
|Se Su So (or Sol) Si
|Se Su So Saw
|d5 v5 P5 ^5
|vv5 v5 P5 ^5
|Gb vG G ^G
|vvG vG G ^G
|-
|-
!6ths
!6ths
|20-24
|19-23
|Lo Le Lu La Li
|Leh Le La Laa Law
|vm6 m6 ~6 M6 ^M6
|m6 ^m6 vM6 M6 ^M6
|vAb Ab vA A ^A
|Ab ^Ab vA A ^A
|-
|-
!7ths
!7ths
|25-29
|24-27
|Ta Te Tu Ti To
|Teh Te Ti Taa
|vm7 m7 ~7 M7 ^M7
|m7 ^m7 vM7 M7
|vBb Bb vB B ^B
|Bb ^Bb vB B
|-
|-
!8ves
!8ves
|30-31 (32)
|28-29 (30)
|Da Do (Di)
|Da Do (Di)
|v8 P8 (^8)
|v8 P8 (^8)
Line 5,789: Line 6,160:
|}
|}


== 32edo ==
== 31edo ==
{| class="wikitable"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[32edo]]
uniform solfege (-a = plain, -u = up, -o = down)
![[31edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,799: Line 6,171:
!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
|1-6
|2-6
|Du/Fra Fru Fri
|Fro Fra
|Ri Ro Ra
|Ro Ra Ru
|^1/m2 ^m2 v~2
|vm2 m2
|^~2 vM2 M2
|~2 M2 ^M2
|^C/Db ^Db ^^Db
|vDb Db
|vvD vD D
|vD D ^D
|-
|-
!3rds
!3rds
|7-12
|7-11
|Na Nu Ni
|No Na
|Mi Mo Ma
|Mo Ma Mu
|m3 ^m3 v~2
|vm3 m3
|^~3 vM3 M3
|~3 M3 ^M3
|Eb ^Eb ^^Eb
|vEb Eb
|vvE vE E
|vE E ^E
|-
|-
!4ths
!4ths
|13
|12-14
| colspan="2" |Fa
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |P4
| colspan="2" |v4 P4 ^4
| colspan="2" |F
| colspan="2" |vF F ^F/vF#
|-
|-
!tritones
!tritones
|14-18
|15-16
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
| colspan="2" |F#/vGb ^F#/Gb
|-
|-
!5ths
!5ths
|19
|17-19
| colspan="2" |Sa
| colspan="2" |So Sa Su
| colspan="2" |P5
| colspan="2" |v5 P5 ^5
| colspan="2" |G
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|20-25
|20-24
|Fla Flu Fli
|Flo Fla
|Li Lo La
|Lo La Lu
|m6 ^m6 v~6
|vm6 m6
|^~6 vM6 M6
|~6 M6 ^M6
|Ab ^Ab ^^Ab
|vAb Ab
|vvA vA A
|vA A ^A
|-
|-
!7ths
!7ths
|26-31
|25-29
|Tha Thu Thi
|Tho Tha
|Ti To Ta/Do
|To Ta Tu
|m7 ^m7 v~7
|vm7 m7
|^~7 vM7 M7/v8
|~7 M7 ^M7
|Bb ^Bb ^^Bb
|vBb Bb
|vvB vB B/vC
|vB B ^B
|-
|-
!8ves
!8ves
|31-32 (33)
|30-31 (32)
| 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)
|}'''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/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'''
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
{| class="wikitable center-all"
==33edo==
|+
{| class="wikitable"
Kite's bright-to-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
![[31edo]]
![[33edo]]
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!edosteps
!edosteps
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|Do Da
| colspan="2" |Da Du Di/Fre
|P1 ^1
| colspan="2" |P1 A1 AA1/dd2
|C ^C
| colspan="2" |C C# Cx
|0-1
|-
|-
!2nds
!2nds
|2-7
|Ru Ro Ra Re Ri
|Di/Fre Fro Fra
|vm2 m2 ~2 M2 ^M2
|Ra Ru Ri/Ne
|vDb Db vD D ^D
|AA1/dd2 d2 m2
|2-6
|M2 A2 AA2/dd3
|Dbbb Dbb Db
|D D# Dx/Ebbb
|-
|-
!3rds
!3rds
|7-12
|Mu Mo Ma Me Mi
|Ri/Ne No Na
|vm3 m3 ~3 M3 ^M3
|Ma Mu Mi/Fe
|vEb Eb vE E ^E
|AA2/dd3 d3 m3
|7-11
|M3 A3 AA3/dd4
|Dx/Ebbb Ebb Eb
|E E# Ex/Fbb
|-
|-
!4ths
!4ths
|12-15
|Fu Fo Fa
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
|v4 P4 ^4
| colspan="2" |AA3/dd4 d4 P4 A4
|vF F ^F
| colspan="2" |Ex/Fbb Fb F F#
|12-14
|-
|-
!tritone
!tritones
|16-17
|Fe/Su Fi/So
| colspan="2" |Fi/Pu/She Pi/Sho/Se
|A4/vd5 ^A4/d5
| colspan="2" |AA4/ddd5 AAA4/dd5
|F#/vGb ^F#/Gb
| colspan="2" |Fx/Gbbb Fx#/Gbb
|15-16
|-
|-
!5ths
!5ths
|18-21
|Sa Se Si
| colspan="2" |Sha/So Sa Su Si/Fle
|v5 P5 ^5
| colspan="2" |d5 P5 A5 AA5/dd6
|vG G ^G
| colspan="2" |Gb G G# Gx/Abbb
|17-19
|-
|-
!6ths
!6ths
|21-26
|Lu Lo La Le Li
|Si/Fle Flo Fla
|vm6 m6 ~6 M6 ^M6
|La Lu Li/The
|vAb Ab vA A ^A
|AA5/dd6 d6 m6
|20-24
|M6 A6 AA6/dd7
|Gx/Abbb Abb Ab
|A A# Ax/Bbbb
|-
|-
!7ths
!7ths
|26-31
|Tu To Ta Te Ti
|Li/The Tho Tha
|vm7 m7 ~7 M7 ^M7
|Ta Tu Ti/De
|vBb Bb vB B ^B
|AA6/dd7 d7 m7
|25-29
|M7 A7 AA7/dd8
|Ax/Bbbb Bbb Bb
|B B# Bx/Cbb
|-
|-
!8ves
!8ves
|31-33 (34-35)
|Du Do (Da)
| colspan="2" |Ti/De Do Da (Du Di)
|v8 P8 (^8)
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
|vC C (^C)
| colspan="2" |Bx/Cbb Cb C (C# Cx)
|30-31 (32)
|}'''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==
As a circle of 5ths:
{| class="wikitable"
 
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
'''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'''
![[34edo]]
{| class="wikitable center-all"
|+
Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
![[31edo]]
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!edosteps
!edosteps
! colspan="2" |solfege names
!
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-'''1'''
|Da Du
| colspan="2" |Da Du
|P1 ^1
|Du=Fro
|C ^C
| colspan="2" |P1 ^1
|0-1
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|'''1-7'''
|Ro Ri Re Ra Ru
|Fro Fra Fru
|vm2 m2 ~2 M2 ^M2
|Ri Ro Ra Ru
|vDb Db vD D ^D
|Ru=No
|2-6
|vm2 m2 ^m2
|~2 vM2 M2 ^M2
|vDb Db ^Db
|vvD vD D ^D
|-
|-
!3rds
!3rds
|'''7-13'''
|Mo Mi Me Ma Mu
|No Na Nu
|vm3 m3 ~3 M3 ^M3
|Mi Mo Ma Mu
|vEb Eb vE E ^E
|Mu=Fo
|7-11
|vm3 m3 ^m3
|~3 vM3 M3 ^M3
|vEb Eb ^Eb
|vvE vE E ^E
|-
|-
!4ths
!4ths
|'''13'''-15
|Fo Fi Fe
| colspan="2" |Fo Fa Fu
|v4 P4 ^4
|
|vF F ^F
| colspan="2" |v4 P4 ^4
|12-14
| colspan="2" |vF F ^F
|-
|-
!tritones
!tritones
|16-18
|Fa/So Fu/Si
| colspan="2" |Fi/Sha Po/Shu Pa/Si
|A4/vd5 ^A4/d5
|
|F#/vGb ^F#/Gb
| colspan="2" |~4/d5 vA4/^d5 A4/~5
|15-16
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
|-
|-
!5ths
!5ths
|19-'''21'''
|Se Sa Su
| colspan="2" |So Sa Su
|v5 P5 ^5
|Su=Flo
|vG G ^G
| colspan="2" |v5 P5 ^5
|17-19
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|'''21-27'''
|Lo Li Le La Lu
|Flo Fla Flu
|vm6 m6 ~6 M6 ^M6
|Li Lo La Lu
|vAb Ab vA A ^A
|Lu=Tho
|20-24
|vm6 m6 ^m6
|~6 vM6 M6 ^M6
|vAb Ab ^Ab
|vvA vA A ^A
|-
|-
!7ths
!7ths
|'''27-33'''
|To Ti Te Ta Tu
|Tho Tha Thu
|vm7 m7 ~7 M7 ^M7
|Ti To Ta Tu
|vBb Bb vB B ^B
|Tu=Do
|25-29
|vm7 m7 ^m7
|~7 vM7 M7 ^M7
|vBb Bb ^Bb
|vvB vB B ^B
|-
|-
!8ves
!8ves
|'''33'''-34 (35)
|De Da (Du)
| colspan="2" |Do Da (Du)
|v8 P8 (^8)
|
|vC C (^C)
| colspan="2" |v8 P8 (^8)
|30-31 (32)
| colspan="2" |vC C (^C)
|}
|}
{| class="wikitable"
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'''
|+circle of fifths
{| class="wikitable center-all"
! rowspan="5" |plain/mid
|+
circle
Andrew's solfege
!
![[31edo]]
!0
!edosteps
!20
!solfege names
!6
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!26
|-
!12
!unisons
!32
|0-1
!18
|Do Di
!4
|P1 ^1
!24
|C ^C
!10
!30
!16
!2
!22
!8
!28
!14
!34
|-
|-
!-a
!2nds
|Da
|2-6
|Sa
|Ro Ra Ru Re Ri
|Ra
|vm2 m2 ~2 M2 ^M2
|La
|vDb Db vD D ^D
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-i
!3rds
|
|7-11
|
|Ma Me Mu Mi Mo
|
|vm3 m3 ~3 M3 ^M3
|
|vEb Eb vE E ^E
|
|
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|
|
|
|
|
|
|-
|-
!-a
!4ths
|
|12-15
|
|Fe Fa Fu Fi
|
|v4 P4 ^4 A4
|
|vF F ^F F#
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!
!5ths
! colspan="2" |perfect
|16-19
! colspan="4" |major
|Se Su So (or Sol) Si
! colspan="6" |mid
|d5 v5 P5 ^5
! colspan="4" |minor
|Gb vG G ^G
! colspan="2" |perfect
|-
|-
| colspan="20" |
!6ths
|20-24
|Lo Le Lu La Li
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|-
|-
! rowspan="6" |up/down
!7ths
circle
|25-29
!
|Ta Te Tu Ti To
!17
|vm7 m7 ~7 M7 ^M7
!3
|vBb Bb vB B ^B
!23
!9
!29
!15
!1
!21
!7
!27
!13
!33
!19
!5
!25
!11
!31
!17
|-
|-
!-o
!8ves
|Po
|30-31 (32)
|
|Da Do (Di)
|
|v8 P8 (^8)
|
|vC C (^C)
|
|}
|
 
|
== 32edo ==
|
{| class="wikitable center-all"
|
|+
|
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
|
![[32edo]]
|
!edosteps
|
! colspan="2" |solfege names
|
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|
|-
|
!unisons
|
|0-1
|
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1/m2
| colspan="2" |C ^C/Db
|-
|-
!-u
!2nds
|Shu
|1-6
|Fru
|Du/Fra Fru Fri
|Flu
|Ri Ro Ra
|Nu
|^1/m2 ^m2 v~2
|Thu
|^~2 vM2 M2
|Fu
|^C/Db ^Db ^^Db
|Du
|vvD vD D
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
|-
!-o
!3rds
|
|7-12
|
|Na Nu Ni
|
|Mi Mo Ma
|
|m3 ^m3 v~2
|
|^~3 vM3 M3
|
|Eb ^Eb ^^Eb
|Fro
|vvE vE E
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|-
|-
!-u
!4ths
|
|13
|
| colspan="2" |Fa
|
| colspan="2" |P4
|
| colspan="2" |F
|
|
|
|
|
|
|
|
|
|
|
|
|
|Shu
|-
|-
!
!tritones
!
|14-18
! colspan="5" |upminor
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
! colspan="6" |in-between
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
! colspan="5" |downmajor
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
!
|}
==35edo==
{| class="wikitable"
|+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
!5ths
|0-2
|19
|Da Du Di
| colspan="2" |Sa
|P1 ^1 ^^1
| colspan="2" |P5
|C ^C ^^C
| colspan="2" |G
|-
|-
!2nds
!6ths
|3-7
|20-25
|Re Ro Ra Ru Ri
|Fla Flu Fli
|vv2 v2 P2 ^2 ^^2
|Li Lo La
|vvD vD D ^D ^^D
|m6 ^m6 v~6
|-
|^~6 vM6 M6
!3rds
|Ab ^Ab ^^Ab
|8-12
|vvA vA A
|Me Mo Ma Mu Mi
|vv3 v3 P3 ^3 ^^3
|vvE vE E ^E ^^E
|-
!4ths
|13-17
|Fe Fo Fa Fu Fi
|vv4 v4 P4 ^4 ^^4
|vvF vF F ^F ^^F
|-
!5ths
|18-22
|Se So Sa Su Si
|vv5 v5 P5 ^5 ^^5
|vvG vG G ^G ^^G
|-
!6ths
|23-27
|Le Lo La Lu Li
|vv6 v6 P6 ^6 ^^6
|vvA vA A ^A ^^A
|-
|-
!7ths
!7ths
|28-32
|26-31
|Te To Ta Tu Ti
|Tha Thu Thi
|vv7 v7 P7 ^7 ^^7
|Ti To Ta/Do
|vvB vB B ^B ^^B
|m7 ^m7 v~7
|^~7 vM7 M7/v8
|Bb ^Bb ^^Bb
|vvB vB B/vC
|-
|-
!8ves
!8ves
|33-35 (36 37)
|31-32 (33)
|De Do Da (Du Di)
| colspan="2" |Ta/Do Da (Du)
|vv8 v8 P8 (^8 ^^8)
| colspan="2" |M7/v8 P8 (^8)
|vvC vC C (^C ^^C)
| colspan="2" |B/vC C (^C)
|}
|}
{| class="wikitable"
'''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'''
|+'''circles of fifths'''
 
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"
|+
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
![[33edo]]
!edosteps
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
! rowspan="2" |plain circle
!unisons
!0
|0-2
!20
| colspan="2" |Da Du Di/Fre
!5
| colspan="2" |P1 A1 AA1/dd2
!25
| colspan="2" |C C# Cx
!10
!30
!15
!35
|-
|-
|Da
!2nds
|Sa
|2-7
|Ra
|Di/Fre Fro Fra
|La
|Ra Ru Ri/Ne
|Ma
|AA1/dd2 d2 m2
|Ta
|M2 A2 AA2/dd3
|Fa
|Dbbb Dbb Db
|Da
|D D# Dx/Ebbb
|-
|-
| colspan="9" |
!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="2" |up circle
!4ths
!1
|12-15
!21
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
!6
| colspan="2" |AA3/dd4 d4 P4 A4
!26
| colspan="2" |Ex/Fbb Fb F F#
!11
!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
|Fu
|Du
|-
|-
| colspan="9" |
!5ths
|-
|18-21
! rowspan="2" |dup circle
| colspan="2" |Sha/So Sa Su Si/Fle
!2
| colspan="2" |d5 P5 A5 AA5/dd6
!22
| colspan="2" |Gb G G# Gx/Abbb
!7
!27
!12
!32
!17
!2
|-
|-
|Di
!6ths
|Si
|21-26
|Ri
|Si/Fle Flo Fla
|Li
|La Lu Li/The
|Mi
|AA5/dd6 d6 m6
|Ti
|M6 A6 AA6/dd7
|Fi
|Gx/Abbb Abb Ab
|Di
|A A# Ax/Bbbb
|-
|-
| colspan="9" |
!7ths
|26-31
|Li/The Tho Tha
|Ta Tu Ti/De
|AA6/dd7 d7 m7
|M7 A7 AA7/dd8
|Ax/Bbbb Bbb Bb
|B B# Bx/Cbb
|-
|-
! rowspan="2" |down circle
!8ves
!34
|31-33 (34-35)
!19
| colspan="2" |Ti/De Do Da (Du Di)
!4
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
!24
| colspan="2" |Bx/Cbb Cb C (C# Cx)
!9
|}
!29
'''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'''
!14
 
!34
== 34edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded
![[34edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
|Do
!unisons
|So
|0-'''1'''
|Ro
| colspan="2" |Da '''Du=Fro'''
|Lo
| colspan="2" |P1 '''^1=vm2'''
|Mo
| colspan="2" |C '''^C=vDb'''
|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"
|+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
!2nds
|2-7
|'''1-7'''
|Fro Fra Fru
|'''Fro''' Fra Fru
|Ro Ra Ru
|Ri Ro Ra '''Ru=No'''
|vm2 m2 ^m2
|'''vm2''' m2 ^m2
|vM2 M2 ^M2
|~2 vM2 M2 '''^M2=vm3'''
|vDb Db ^Db
|'''vDb''' Db ^Db
|vD D ^D
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
!3rds
|8-13
|'''7-13'''
|No Na Nu
|'''No''' Na Nu
|Mo Ma Mu
|Mi Mo Ma '''Mu=Fo'''
|vm3 m3 ^m3
|'''vm3''' m3 ^m3
|vM3 M3 ^M3
|~3 vM3 M3 '''^M3=v4'''
|vEb Eb ^Eb
|'''vEb''' Eb ^Eb
|vE E ^E
|vvE vE E '''^E=vF'''
|-
|-
!4ths
!4ths
|14-16
|'''13'''-15
| colspan="2" |Fo Fa Fu
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |v4 P4 ^4
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |vF F ^F
| colspan="2" |'''vF''' F ^F
|-
|-
!tritones
!tritones
|17-19
|16-18
| colspan="2" |Po/Sho Pa/Sha Pu/Shu
| colspan="2" |Fi/Sha Po/Shu Pa/Si
| colspan="2" |vA4/vd5 A4/d5 ^A4/^d5
| colspan="2" |~4/d5 vA4/^d5 A4/~5
| colspan="2" |vF#/vGb F#/Gb ^F#/^Gb
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
|-
|-
!5ths
!5ths
|20-22
|19-'''21'''
| 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
|23-28
|'''21-27'''
|Flo Fla Flu
|'''Flo''' Fla Flu
|Lo La Lu
|Li Lo La '''Lu=Tho'''
|vm6 m6 ^m6
|'''vm6''' m6 ^m6
|vM6 M6 ^M6
|~6 vM6 M6 '''^M6=vm7'''
|vAb Ab ^Ab
|'''vAb''' Ab ^Ab
|vA A ^A
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|29-34
|'''27-33'''
|Tho Tha Thu
|'''Tho''' Tha Thu
|To Ta Tu
|Ti To Ta '''Tu=Do'''
|vm7 m7 ^m7
|'''vm7''' m7 ^m7
|vM7 M7 ^M7
|~7 vM7 M7 '''^M7=v8'''
|vBb Bb ^Bb
|'''vBb''' Bb ^Bb
|vB B ^B
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|35-36 (37)
|'''33'''-34 (35)
| 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)
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
circles of fifths
! rowspan="5" |plain/mid
 
circle
circle
!
!0
!0
!21
!20
!6
!6
!27
!26
!12
!12
!33
!32
!18
!18
!3
!4
!24
!24
!9
!10
!30
!30
!15
!16
!36
!2
!22
!8
!28
!14
!34
|-
|-
!-a
|Da
|Da
|Sa
|Sa
Line 6,486: Line 6,686:
|Ta
|Ta
|Pa
|Pa
|
|
|
|
|
|
|
|
|
Line 6,493: Line 6,698:
|
|
|-
|-
!-i
|
|
|
|
|
Line 6,498: Line 6,705:
|
|
|
|
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|
|
|Sha
|
|Fra
|
|Fla
|
|Na
|
|Tha
|
|Fa
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|Da
|-
|-
| colspan="14" |
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="6" |mid
! colspan="4" |minor
! colspan="2" |perfect
|-
| colspan="20" |
|-
|-
! rowspan="3" |up
! rowspan="6" |up/down
 
circle
circle
!
!17
!3
!23
!9
!29
!15
!1
!1
!22
!21
!7
!7
!28
!27
!13
!13
!34
!33
!19
!19
!4
!5
!25
!25
!10
!11
!31
!31
!16
!17
!1
|-
|-
|Du
!-o
|Su
|Po
|Ru
|
|Lu
|Mu
|Tu
|Pu
|
|
|
|
Line 6,538: Line 6,779:
|
|
|
|
|-
|
|
|
|
Line 6,545: Line 6,785:
|
|
|
|
|
|
|
|
|-
!-u
|Shu
|Shu
|Fru
|Fru
Line 6,552: Line 6,798:
|Fu
|Fu
|Du
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
|-
| colspan="14" |
!-o
|-
|
! rowspan="3" |down
|
circle
|
!35
|
!20
|
!5
|
!26
|Fro
!11
|Flo
!32
|No
!17
|Tho
!2
|Fo
!23
!8
!29
!14
!35
|-
|Do
|Do
|So
|So
Line 6,578: Line 6,829:
|To
|To
|Po
|Po
|-
!-u
|
|
|
|
|
|
Line 6,584: Line 6,839:
|
|
|
|
|-
|
|
|
|
Line 6,591: Line 6,845:
|
|
|
|
|Sho
|
|Fro
|
|Flo
|
|No
|Shu
|Tho
|-
|Fo
!
|Do
|
|}
! colspan="4" |upminor
 
|
== 38edo ==
! colspan="6" |in-between
{| class="wikitable"
|
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), contains 19edo's solfege, but with u --> i and o --> e
! colspan="4" |downmajor
![[38edo]]
|
!edosteps
|}
! colspan="2" |solfege names
 
! colspan="4" |[[Ups and downs notation|ups and downs]] names
== 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
|0-2
| colspan="2" |Da Du Di/Fre
|Da Du Di
| colspan="2" |P1 ^1 ^^1/vvm2
|P1 ^1 ^^1
| colspan="2" |C ^C ^^C/vvDb
|C ^C ^^C
|-
|-
!2nds
!2nds
|2-8
|3-7
|Di/Fre Fro Fra
|Re Ro Ra Ru Ri
|Ro Ra Ru Ri/Ne
|vv2 v2 P2 ^2 ^^2
|^^1/vvm2 vm2 m2
|vvD vD D ^D ^^D
|~2 M2 ^M2 ^^M2/vvm3
|^^C/vvDb vDb Db
|vD D ^D ^^D/vvEb
|-
|-
!3rds
!3rds
|8-14
|8-12
|Ri/Ne No Na
|Me Mo Ma Mu Mi
|Mo Ma Mu Mi/Fe
|vv3 v3 P3 ^3 ^^3
|^^M2/vvm3 vm3 m3
|vvE vE E ^E ^^E
|~3 M3 ^M3 ^^M3/vv4
|^^D/vvEb vEb Eb
|vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|14-17
|13-17
| colspan="2" |Mi/Fe Fo Fa Fu/Po
|Fe Fo Fa Fu Fi
| colspan="2" |^^M3/vv4 v4 P4 ~4
|vv4 v4 P4 ^4 ^^4
| colspan="2" |^^E/vvF vF F ^F
|vvF vF F ^F ^^F
|-
!tritones
|18-20
| colspan="2" |Pa/She Pu/Sho Pi/Sha
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5
| colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb
|-
|-
!5ths
!5ths
|21-24
|18-22
| colspan="2" |So Sa Su Si/Fle
|Se So Sa Su Si
| colspan="2" |~5 P5 ^5 ^^5/vvm6
|vv5 v5 P5 ^5 ^^5
| colspan="2" |vG G ^G ^^G/vvAb
|vvG vG G ^G ^^G
|-
|-
!6ths
!6ths
|24-30
|23-27
|Si/Fle Flo Fla
|Le Lo La Lu Li
|Lo La Lu Li/The
|vv6 v6 P6 ^6 ^^6
|^^5/vvm6 vm6 m6
|vvA vA A ^A ^^A
|~6 M6 ^M6 ^^M6/vvm7
|^^G/vvAb vAb Ab
|vA A ^A ^^A/vvBb
|-
|-
!7ths
!7ths
|30-36
|28-32
|Li/The Tho Tha
|Te To Ta Tu Ti
|To Ta Tu Ti/De
|vv7 v7 P7 ^7 ^^7
|^^M6/vvm7 vm7 m7
|vvB vB B ^B ^^B
|~7 M7 ^M7 ^^M7/vv8
|^^A/vvBb vBb Bb
|vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|36-38
|33-35 (36 37)
| colspan="2" |Ti/De Do Da (Du Di)
|De Do Da (Du Di)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
|vv8 v8 P8 (^8 ^^8)
| colspan="2" |^^B/vvC vC C (^C ^^C)
|vvC vC C (^C ^^C)
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+circles of fifths
|+
! rowspan="6" |plain/
'''circles of fifths'''
dup/
! rowspan="2" |plain circle
 
dud
 
circle
!
!0
!0
!22
!6
!28
!12
!34
!18
!2
!24
!8
!30
!14
!36
!20
!20
!4
!5
!26
!25
!10
!10
!32
!30
!16
!15
!38
!35
|-
|-
!-a
|Da
|Da
|Sa
|Sa
Line 6,711: Line 6,936:
|Ma
|Ma
|Ta
|Ta
|Pa
|Fa
|
|Da
|
|-
|
| colspan="9" |
|
|
|
|
|
|
|
|
|
|
|-
|-
!-e
! rowspan="2" |up circle
|
!1
|
!21
|
!6
|
!26
|
!11
|
!31
|She
!16
|Fre
!1
|Fle
|Ne
|The
|Fe
|De
|
|
|
|
|
|
|
|-
|-
!-i
|Du
|
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Fu
|
|Du
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|-
!-a
| colspan="9" |
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!
! rowspan="2" |dup circle
! colspan="2" |perfect
!2
! colspan="4" |major
!22
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|-
| colspan="22" |
|-
! rowspan="5" |up/
down
 
circle
!
!1
!23
!7
!7
!29
!13
!35
!19
!3
!25
!9
!31
!15
!37
!21
!5
!27
!27
!11
!12
!33
!32
!17
!17
!1
!2
|-
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|Di
|-
| colspan="9" |
|-
|-
!-u
! rowspan="2" |down circle
|Du
!34
|Su
!19
|Ru
!4
|Lu
!24
|Mu
!9
|Tu
!29
|Pu
!14
|
!34
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-o
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|Do
|So
|So
Line 6,868: Line 6,999:
|Mo
|Mo
|To
|To
|Po
|Fo
|
|Do
|-
| colspan="9" |
|-
|-
!-u
! rowspan="2" |dud circle
|
!33
|
!18
|
!3
|
!23
|
!8
|
!28
|
!13
|
!33
|
|
|
|
|
|
|
|
|
|
|Fu
|Du
|-
|-
!
|De
! colspan="2" |upperfect
|Se
! colspan="4" |upmajor
|Re
!
|Le
! colspan="4" |downminor
|Me
! colspan="3" |downperfect
|Te
! colspan="4" |mid
|Fe
! colspan="2" |upperfect
|De
|}
|}


== 39edo ==
== 36edo ==
7 edos left! You can do it!!!
{| class="wikitable center-all"
 
|+
39 40 43 45 46 50 55
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
 
![[36edo]]
==41edo==
{| class="wikitable"
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
![[41edo]]
!edosteps
!edosteps
! colspan="2" |Da Ra Mo names
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
Line 6,923: Line 7,040:
|-
|-
!2nds
!2nds
|2-8
|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 6,947: 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 6,959: 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"
{| class="wikitable center-all"
|+Andrew's solfege
|+
![[41edo]]
'''circles of fifths'''
!edosteps
! rowspan="3" |plain
!solfege names
 
! colspan="2" |[[Ups and downs notation|ups and downs]] names
circle
!0
!21
!6
!27
!12
!33
!18
!3
!24
!9
!30
!15
!36
|-
|-
!unisons
|Da
|0-1
|Sa
|Do Di
|Ra
|P1 ^1
|La
|C ^C
|Ma
|-
|Ta
!2nds
|Pa
|2-8
|
|Ro Rih Ra Ru Reh Re Ri
|
|vm2 m2 ^m2 ~2 vM2 M2 ^M2
|
|vDb Db ^Db vvD vD D ^D
|
|
|
|-
|-
!3rds
|
|9-15
|
|Ma Meh Me Mu Mi Maa Mo
|
|vm3 m3 ^m3 ~3 vM3 M3 ^M3
|
|vEb Eb ^Eb vvE vE E ^E
|
|
|Sha
|Fra
|Fla
|Na
|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
!7ths
|Pu
|33-39
|
|Ta Teh Te Tu Ti Taa To
|
|vm7 m7 ^m7 ~7 vM7 M7 ^M7
|
|vBb Bb ^Bb vvB vB B ^B
|
|
|
|-
|-
!8ves
|
|40-41 (42)
|
|Da Do (Di)
|
|v8 P8 (^8)
|
|vC C (^C)
|
|}
|
==48edo==
|Shu
{| class="wikitable"
|Fru
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 24edo
|Flu
![[48edo]]
|Nu
!edosteps
|Thu
! colspan="3" |solfege names
|Fu
! colspan="6" |[[Ups and downs notation|ups and downs]] names
|Du
|-
|-
!unisons
| colspan="14" |
|0-2
| colspan="3" |Da Du Di/Fre
| colspan="3" |P1 ^1 ^^1/vvm2
| colspan="3" |C ^C ^^C/vvDb
|-
|-
!2nds
! rowspan="3" |down
|2-10
 
|Di/Fre Fro Fra Fru
circle
|Fri/Re
!35
|Ro Ra Ru Ri/Ne
!20
|^^1/vvm2 vm2 m2 ^m2
!5
|~2
!26
|vM2 M2 ^M2 ^^M2/vvm3
!11
|^^C/vvDb vDb Db ^Db
!32
|^^Db/vvD
!17
|vD D ^D ^^D/vvEb
!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"
|+
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
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="2" |Da Du Di/Fre
| colspan="2" |P1 ^1 ^^1/vvm2
| colspan="2" |C ^C ^^C/vvDb
|-
!2nds
|2-8
|Di/Fre Fro Fra
|Ro Ra Ru Ri/Ne
|^^1/vvm2 vm2 m2
|~2 M2 ^M2 ^^M2/vvm3
|^^C/vvDb vDb Db
|vD D ^D ^^D/vvEb
|-
|-
!3rds
!3rds
|10-18
|8-14
|Ri/Ne No Na Nu
|Ri/Ne No Na
|Ni/Me
|Mo Ma Mu Mi/Fe
|Mo Ma Mu Mi/Fe
|^^M2/vvm3 vm3 m3 ^m3
|^^M2/vvm3 vm3 m3
|~3
|~3 M3 ^M3 ^^M3/vv4
|vM3 M3 ^M3 ^^M3/vv4
|^^D/vvEb vEb Eb
|^^D/vvEb vEb Eb ^Eb
|^^Eb/vvE
|vE E ^E ^^E/vvF
|vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|18-21
|14-17
| colspan="3" |Mi/Fe Fo Fa Fu
| colspan="2" |Mi/Fe Fo Fa Fu/Po
| colspan="3" |^^M3/vv4 v4 P4 ^4
| colspan="2" |^^M3/vv4 v4 P4 ~4
| colspan="3" |^^E/vvF vF F ^F
| colspan="2" |^^E/vvF vF F ^F
|-
|-
!tritones
!tritones
|22-26
|18-20
| colspan="3" |Fi/Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi/Se
| colspan="2" |Pa/She Pu/Sho Pi/Sha
| colspan="3" |^^4/vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5/vv5
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5
| colspan="3" |^^F/vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb/vvG
| colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb
|-
|-
!5ths
!5ths
|27-30
|21-24
| colspan="3" |So Sa Su Si/Fle
| colspan="2" |So Sa Su Si/Fle
| colspan="3" |v5 P5 ^5 ^^5/vvm6
| colspan="2" |~5 P5 ^5 ^^5/vvm6
| colspan="3" |vG G ^G ^^G/vvAb
| colspan="2" |vG G ^G ^^G/vvAb
|-
|-
!6ths
!6ths
|30-38
|24-30
|Si/Fle Flo Fla Flu
|Si/Fle Flo Fla
|Fli/Le
|Lo La Lu Li/The
|Lo La Lu Li/The
|^^5/vvm6 vm6 m6 ^m6
|^^5/vvm6 vm6 m6
|~6
|~6 M6 ^M6 ^^M6/vvm7
|vM6 M6 ^M6 ^^M6/vvm7
|^^G/vvAb vAb Ab
|^^G/vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A/vvBb
|vA A ^A ^^A/vvBb
|-
|-
!7ths
!7ths
|38-46
|30-36
|Li/The Tho Tha Thu
|Li/The Tho Tha
|Thi/Te
|To Ta Tu Ti/De
|To Ta Tu Ti/De
|^^M6/vvm7 vm7 m7 ^m7
|^^M6/vvm7 vm7 m7
|~7
|~7 M7 ^M7 ^^M7/vv8
|vM7 M7 ^M7 ^^M7/vv8
|^^A/vvBb vBb Bb
|^^A/vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B/vvC
|vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|46-48
|36-38
| colspan="3" |Ti/De Do Da (Du Di)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="3" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="3" |^^B/vvC vC C (^C ^^C)
| colspan="2" |^^B/vvC vC C (^C ^^C)
|}
|}
{| class="wikitable"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), duplicate names are bolded
|+
![[48edo]]
circles of fifths
!edosteps
! rowspan="6" |plain/
! colspan="3" |solfege names
 
! colspan="6" |[[Ups and downs notation|ups and downs]] names
dup/
|-
 
!unisons
dud
|0-'''2'''
 
| colspan="3" |Da Du '''Di'''
circle
| colspan="3" |P1 ^1 ^^1
!
| colspan="3" |C ^C ^^C
!0
!22
!6
!28
!12
!34
!18
!2
!24
!8
!30
!14
!36
!20
!4
!26
!10
!32
!16
!38
|-
|-
!2nds
!-a
|'''2-10'''
|Da
|'''Fre''' Fro Fra Fru
|Sa
|Fri/Re
|Ra
|Ro Ra Ru '''Ri'''
|La
|vvm2 vm2 m2 ^m2
|Ma
|~2
|Ta
|vM2 M2 ^M2 ^^M2
|Pa
|vvDb vDb Db ^Db
|
|^^Db/vvD
|
|vD D ^D ^^D
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!3rds
!-e
|'''10-18'''
|
|'''Ne''' No Na Nu
|
|Ni/Me
|
|Mo Ma Mu '''Mi'''
|
|vvm3 vm3 m3 ^m3
|
|~3
|
|vM3 M3 ^M3 ^^M3
|She
|vvEb vEb Eb ^Eb
|Fre
|^^Eb/vvE
|Fle
|vE E ^E ^^E
|Ne
|The
|Fe
|De
|
|
|
|
|
|
|
|-
|-
!4ths
!-i
|'''18-22'''
|
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi'''
|
| colspan="3" |vv4 v4 P4 ^4 ^^4
|
| colspan="3" |vvF vF F ^F ^^F
|
|
|
|
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|-
!tritones
!-a
|'''22-26'''
|
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi'''
|
| colspan="3" |vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5
|
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
|
|-
|
!5ths
|
|'''26-30'''
|
| colspan="3" |'''Se''' So Sa Su '''Si'''
|
| colspan="3" |vv5 v5 P5 ^5 ^^5
|
| colspan="3" |vvG vG G ^G ^^G
|
|-
!6ths
|'''30-38'''
|'''Fle''' Flo Fla Flu
|Fli/Le
|Lo La Lu '''Li'''
|vvm6 vm6 m6 ^m6
|~6
|vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A
|-
!7ths
|'''38-46'''
|'''The''' Tho Tha Thu
|Thi/Te
|To Ta Tu '''Ti'''
|vvm7 vm7 m7 ^m7
|~7
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B
|-
!8ves
|'''46'''-48
| colspan="3" |'''De''' Do Da (Du Di)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="3" |vvC vC C (^C ^^C)
|}Fri/Ni/Fli/Thi are included to make the -i circle complete
{| class="wikitable"
|+'''circles of fifths'''
! rowspan="3" |plain
circle
!0
!28
!8
!36
!16
!44
!24
!4
!32
!12
!40
!20
!48
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|
|
|
|
|
|
|
Line 7,254: Line 7,437:
|Da
|Da
|-
|-
| colspan="14" |
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|-
| colspan="22" |
|-
|-
! rowspan="3" |up
! rowspan="5" |up/
circle
 
down
 
circle
!
!1
!1
!23
!7
!29
!29
!13
!35
!19
!3
!25
!9
!9
!31
!15
!37
!37
!17
!21
!45
!25
!5
!5
!27
!11
!33
!33
!13
!17
!41
!21
!1
!1
|-
|-
!-u
|Du
|Du
|Su
|Su
Line 7,285: Line 7,487:
|
|
|
|
|-
|
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
| colspan="14" |
|-
! rowspan="3" |down
circle
!47
!27
!7
!35
!15
!43
!23
!3
!31
!11
!39
!19
!47
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
Line 7,332: Line 7,495:
|
|
|-
|-
!-o
|
|
|
|
Line 7,345: Line 7,509:
|Fo
|Fo
|Do
|Do
|-
|So
| colspan="14" |
|Ro
|-
|Lo
! rowspan="5" |mid /
|Mo
inbetween
|To
 
|Po
circle
!2
!30
!10
!38
!18
!46
!26
!6
!34
!14
!42
!22
!2
|-
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|
|-
|-
!-u
|
|
|
|
Line 7,386: Line 7,524:
|
|
|
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
|Fre
|Fle
|Ne
|The
|Fe
|De
|Se
|Re
|Le
|Me
|Te
|Pe
|
|
|-
|
|
|
|
Line 7,419: Line 7,536:
|
|
|
|
|She
|Fu
|De
|Du
|}
|-
!
! colspan="2" |upperfect
! colspan="4" |upmajor
!
! colspan="4" |downminor
! colspan="3" |downperfect
! colspan="4" |mid
! colspan="2" |upperfect
|}


== 53edo ==
== 39edo ==
{| class="wikitable"
{| 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) in-between notes are bolded
![[39edo]]
!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=Fro'''
| colspan="2" |P1 ^1 ^^1/vvm2
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |C '''^C=vDb'''
|-
|-
!2nds
!2nds
|2-11
|'''1-8'''
|Di/Fre Fro Fra Fru Fri
|'''Fro''' Fra Fru Fri
|Re Ro Ra Ru Ri/Ne
|Ri Ro Ra '''Ru=No'''
|^^1/vvm2 vm2 m2 ^m2 v~2
|'''vm2''' m2 ^m2 v~2
|^~2 vM2 M2 ^M2 ^^M2/vvm3
|^~2 vM2 M2 '''^M2=vm3'''
|'''vDb''' Db ^Db ^^Db
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
!3rds
|11-20
|'''8-15'''
|Ri/Ne No Na Nu Ni
|'''No''' Na Nu Ni
|Me Mo Ma Mu Mi/Fe
|Mi Mo Ma '''Mu=Fo'''
|^^M2/vvm3 vm3 m3 ^m3 v~3
|'''vm3''' m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3/vv4
|^~3 vM3 M3 '''^M3=v4'''
|'''vEb''' Eb ^Eb ^^Eb
|vvE vE E '''^E=vF'''
|-
|-
!4ths
!4ths
|20-23
|'''15'''-17
| 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
|18-21
| colspan="2" |Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se
| colspan="2" |Fi/Sha Pi/Shu Po/Shi Pa/Si
| colspan="2" |v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
|-
|-
!5ths
!5ths
|30-33
|22-'''24'''
| colspan="2" |So Sa Su Si/Fle
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |v5 P5 ^5 ^^5/vvm6
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |vG G ^G='''vAb'''
|-
|-
!6ths
!6ths
|33-42
|'''24-31'''
|Si/Fle Flo Fla Flu Fli
|'''Flo''' Fla Flu Fli
|Le Lo La Lu Li/The
|Li Lo La '''Lu=Tho'''
|^^5/vvm6 vm6 m6 ^m6 v~6
|'''vm6''' m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6/vvm7
|^~6 vM6 M6 '''^M6=vm7'''
|'''vAb''' Ab ^Ab ^^Ab
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|42-51
|'''31-38'''
|Li/The Tho Tha Thu Thi
|'''Tho''' Tha Thu Thi
|Te To Ta Tu Ti/De
|Ti To Ta '''Tu=Do'''
|^^M6/vvm7 vm7 m7 ^m7 v~7
|'''vm7''' m7 ^m7 v~7
|^~7 vM7 M7 ^M7 ^^M7/vv8
|^~7 vM7 M7 '''^M7=v8'''
|'''vBb''' Bb ^Bb ^^Bb
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|51-53 (54 55)
|'''38'''-39 (40)
| 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)
|}
|}
{| class="wikitable"
'''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'''
|+Phylingual's solfege
 
![[53edo]]
== 40edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
![[40edo]]
!edosteps
!edosteps
!solfege names
! colspan="2" |solfege
![[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-2
|Do Di Daw
| colspan="2" |Da Du Di
|P1 ^1 ^^1
| colspan="2" |P1 A1 AA1
| colspan="2" |C C# Cx
|-
|-
!2nds
!2nds
|3-11
|3-8
|Ro Rih Ra Ru Ruh Reh Re Ri Raw
|Fre Fro Fra
|vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
|Ra Ru Ri
|dd2 d2 m2
|M2 A2 AA2
|Dbbb Dbb Db
|D D# Dx
|-
|-
!3rds
!3rds
|12-20
|9-14
|Ma Meh Me Mu Muh Mi Maa Mo Maw
|Ne No Na
|vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
|Ma Mu Mi
|dd3 d3 m3
|M3 A3 AA3
|Ebbb Ebb Eb
|E E# Ex
|-
|-
!4ths
!4ths
|21-26
|15-18
|Fe Fa Fih Fu Fuh Fi
| colspan="2" |Fe Fo Fa Fu/Pa
|v4 P4 ^4 v~4 ^~4 vA4
| colspan="2" |dd4 d4 P4 A4
| colspan="2" |Fbb Fb F F#
|-
!tritone
|19-21
| colspan="2" |Fi/Pu Pi/She Sho/Se
| colspan="2" |AA4 AAA4/ddd5 dd5
| colspan="2" |Fx Fx#/Gbbb Gbb
|-
|-
!5ths
!5ths
|27-33
|22-25
|Se Suh Su Sih So (or Sol) Si Saw
| colspan="2" |Sha/So Sa Su Si
|^d5 v~5 ^~5 v5 P5 ^5 ^^5
| colspan="2" |d5 P5 A5 AA5
| colspan="2" |Gb G G# Gx
|-
|-
!6ths
!6ths
|34-42
|26-31
|Lo Leh Le Lu Luh La Laa Li Law
|Fle Flo Fla
|vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
|La Lu Li
|dd6 d6 m6
|M6 A6 AA6
|Abbb Abb Ab
|A A# Ax
|-
|-
!7ths
!7ths
|43-51
|32-37
|Ta Teh Te Tu Tuh Ti Tih To Taw
|The Tho Tha
|vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
|Ta Tu Ti
|dd7 d7 m7
|M7 A7 AA7
|Bbbb Bbb Bb
|B B# Bx
|-
|-
!8ves
!8ves
|52-(55)
|38-40 (41-42)
|Da Do (Di Daw)
| colspan="2" |De Do Da (Du Di)
|v8 P8 (^8 ^^8)
| colspan="2" |dd8 d8 P8 (A8 AA8)
| colspan="2" |Cbb Cb C (C# Cx)
|}
|}
==60edo==
'''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'''
{| class="wikitable"
 
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 48edo
== 41edo ==
![[36edo]]
{| class="wikitable center-all"
|+
Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
![[41edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |Da Ra Mo names
! colspan="4" |[[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
| colspan="2" |Da Du
| colspan="2" |P1 ^1 ^^1
| colspan="2" |P1 ^1
| colspan="2" |C ^C ^^C
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|3-12
|2-8
|Fre Fro Fra Fru Fri
|Fro Fra Fru
|Re Ro Ra Ru Ri
|Ri Ro Ra Ru
|vvm2 vm2 m2 ^m2 v~2
|vm2 m2 ^m2
|^~2 vM2 M2 ^M2 ^^M2
|~2 vM2 M2 ^M2
|vvDb vDb Db ^Db ^^Db
|vDb Db ^Db
|vvD vD D ^D ^^D
|vvD vD D ^D
|-
|-
!3rds
!3rds
|13-22
|9-15
|Ne No Na Nu Ni
|No Na Nu
|Me Mo Ma Mu Mi
|Mi Mo Ma Mu
|vvm3 vm3 m3 ^m3 v~3
|vm3 m3 ^m3
|^~3 vM3 M3 ^M3 ^^M3
|~3 vM3 M3 ^M3
|vvEb vEb Eb ^Eb ^^Eb
|vEb Eb ^Eb
|vvE vE E ^E ^^E
|vvE vE E ^E
|-
|-
!4ths
!4ths
|23-27
|16-18
| colspan="2" |Fe Fo Fa Fu Fi
| colspan="2" |Fo Fa Fu
| colspan="2" |vv4 v4 P4 ^4 v~4
| colspan="2" |v4 P4 ^4
| colspan="2" |vvF vF F ^F ^^F
| colspan="2" |vF F ^F
|-
|-
!tritones
!tritones
|28-32
|19-22
| colspan="2" |Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi
| colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" |^~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/v~5
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
| colspan="2" |^^F/vGb vF#/Gb F#/^Gb ^F#/vvG
|-
|-
!5ths
!5ths
|33-37
|23-25
| colspan="2" |Se So Sa Su Si
| colspan="2" |So Sa Su
| colspan="2" |^~5 v5 P5 ^5 ^^5
| colspan="2" |v5 P5 ^5
| colspan="2" |vvG vG G ^G ^^G
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|38-47
|26-32
|Fle Flo Fla Flu Fli
|Flo Fla Flu
|Le Lo La Lu Li
|Li Lo La Lu
|vvm6 vm6 m6 ^m6 v~6
|vm6 m6 ^m6
|^~6 vM6 M6 ^M6 ^^M6
|~6 vM6 M6 ^M6
|vvAb vAb Ab ^Ab ^^Ab
|vAb Ab ^Ab
|vvA vA A ^A ^^A
|vvA vA A ^A
|-
|-
!7ths
!7ths
|48-57
|33-39
|The Tho Tha Thu Thi
|Tho Tha Thu
|Te To Ta Tu Ti
|Ti To Ta Tu
|vvm7 vm7 m7 ^m7 v~7
|vm7 m7 ^m7
|^~7 vM7 M7 ^M7 ^^M7
|~7 vM7 M7 ^M7
|vvBb vBb Bb ^Bb ^^Bb
|vBb Bb ^Bb
|vvB vB B ^B ^^B
|vvB vB B ^B
|-
|-
!8ves
!8ves
|58-60
|40-41 (42)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |Do Da (Du)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |vvC vC C (^C ^^C)
| colspan="2" |vC C (^C)
|}
|}
{| class="wikitable"
'''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'''
|+'''circles of fifths'''
 
! rowspan="3" |plain
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Shu
circle
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si
!0
* mid segment: Si Ri Li Mi Ti Fi/Sho
!35
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha
!10
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
!45
 
!20
{| class="wikitable center-all"
!55
|+
!30
Andrew's solfege
!5
![[41edo]]
!40
!edosteps
!15
!solfege names
!50
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!25
!60
|-
|-
|Da
!unisons
|Sa
|0-1
|Ra
|Do Di
|La
|P1 ^1
|Ma
|C ^C
|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
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
| colspan="14" |
!3rds
|9-15
|Ma Meh Me Mu Mi Maa Mo
|vm3 m3 ^m3 ~3 vM3 M3 ^M3
|vEb Eb ^Eb vvE vE E ^E
|-
|-
! rowspan="3" |up
!4ths
circle
|16-20
!1
|Fe Fa Fih Fu Fi
!36
|v4 P4 ^4 ~4 vA4
!11
|vF F ^F ^^F vF#
!46
!21
!56
!31
!6
!41
!16
!51
!26
!1
|-
|-
|Du
!5ths
|Su
|21-25
|Ru
|Se Su Sih So (or Sol) Si
|Lu
|^d5 ~5 v5 P5 ^5
|Mu
|^Gb vvG vG G ^G
|Tu
|Pu
|
|
|
|
|
|
|-
|-
|
!6ths
|
|26-32
|
|Lo Leh Le Lu La Laa Li
|
|vm6 m6 ^m6 ~6 vM6 M6 ^M6
|
|vAb Ab ^Ab vvA vA A ^A
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
| colspan="14" |
!7ths
|33-39
|Ta Teh Te Tu Ti Taa To
|vm7 m7 ^m7 ~7 vM7 M7 ^M7
|vBb Bb ^Bb vvB vB B ^B
|-
|-
! rowspan="3" |down
!8ves
circle
|40-41 (42)
!59
|Da Do (Di)
!34
|v8 P8 (^8)
!9
|vC C (^C)
!44
|}
!19
 
!54
== 43edo ==
!29
{| class="wikitable center-all"
!64
|+
!39
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded
!74
![[43edo]]
!49
!edosteps
!84
! colspan="2" |solfege names
!59
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-'''2'''
| colspan="2" |Da Du '''Di=Fre'''
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
!2nds
|'''2-9'''
|'''Fre''' Fro Fra Fru
|Ro Ra Ru '''Ri=Ne'''
|vvm2 vm2 m2 ^m2
|vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db
|vD D ^D ^^D
|-
!3rds
|'''9-16'''
|'''Ne''' No Na Nu
|Mo Ma Mu '''Mi=Fe'''
|vvm3 vm3 m3 ^m3
|vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|vE E ^E ^^E
|-
|-
|Do
!4ths
|So
|'''16'''-19
|Ro
| colspan="2" |'''Fe''' Fo Fa Fu
|Lo
| colspan="2" |vv4 v4 P4 ^4
|Mo
| colspan="2" |vvF vF F ^F
|To
|Po
|
|
|
|
|
|
|-
|-
|
!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
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
|-
| colspan="14" |
!5ths
|24-'''27'''
| colspan="2" |So Sa Su '''Si=Fle'''
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |vG G ^G ^^G
|-
|-
! rowspan="3" |dup
!6ths
circle
|'''27-34'''
!2
|'''Fle''' Flo Fla Flu
!37
|Lo La Lu '''Li=The'''
!12
|vvm6 vm6 m6 ^m6
!47
|vM6 M6 ^M6 ^^M6
!22
|vvAb vAb Ab ^Ab
!57
|vA A ^A ^^A
!32
|-
!7
!7ths
!42
|'''34-41'''
!17
|'''The''' Tho Tha Thu
!52
|To Ta Tu '''Ti=De'''
!27
|vvm7 vm7 m7 ^m7
!2
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|vB B ^B ^^B
|-
|-
|Di
!8ves
|Si
|'''41'''-43
|Ri
| colspan="2" |'''De''' Do Da (Du Di)
|Li
| colspan="2" |vv8 v8 P8 (^8 ^^8)
|Mi
| colspan="2" |vvC vC C (^C ^^C)
|Ti
|}
|Pi
'''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'''
|
 
|
* 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
|
* dup/dud/inbetween segment: She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' 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'''
 
== 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
|
| colspan="2" |Da Du Di
|
| colspan="2" |P1 ^1 A1
|
| colspan="2" |C ^C C#
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
|-
| colspan="14" |
!2nds
|3-9
|Fre Fro Fra
|Ro Ra Ru Ri
|d2 vm2 m2
|~2 M2 ^M2 A2
|Dbb vDb Db
|vD D ^D D#
|-
|-
! rowspan="3" |dud circle
!3rds
!58
|10-16
!33
|Ne No Na
!8
|Mo Ma Mu Mi
!43
|d3 vm3 m3
!18
|~3 M3 ^M3 A3
!53
|Ebb vEb Eb
!28
|vE E ^E E#
!3
|-
!38
!4ths
!13
|17-20
!48
| colspan="2" |Fe Fo Fa Fu/Po
!23
| colspan="2" |d4 v4 P4 ~4
!58
| colspan="2" |Fb vF F ^F
|-
!tritones
|21-24
| colspan="2" |Fi/Pa Pu/She Pi/Sho Sha/Se
| colspan="2" |A4 ^A4/dd5 AA4/vd5 d5
| colspan="2" |F# ^F#/Gbb Fx/vGb Gb
|-
!5ths
|25-28
| colspan="2" |So Sa Su Si
| colspan="2" |~5 P5 ^5 A5
| colspan="2" |vG G ^G G#
|-
!6ths
|29-35
|Fle Flo Fla
|Lo La Lu Li
|d6 vm6 m6
|~6 M6 ^M6 A6
|Abb vAb Ab
|vA A ^A A#
|-
!7ths
|36-42
|The Tho Tha
|To Ta Tu Ti
|d7 vm7 m7
|^~7 M7 ^M7 A7
|Bbb vBb Bb
|vB B ^B B#
|-
!8ves
|43-45 (46 47)
| colspan="2" |De Do Da (Du Di)
| 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'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Fi
* dup/aug segment: Fi '''Di''' Si Ri Li Mi Ti Pi/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu
* up segment: Fu '''Du''' Su Ru Lu Mu Tu Pu/She
* dud/dim segment: She Fre Fle Ne The Fe '''De''' Se/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
== 46edo ==
Could use 5 vowels by using -e for dud/upmid.
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup/dud = downmid/upmid)
![[46edo]]
!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
|2-9
|Fro Fra Fru Fri
|Ri Ro Ra Ru
|vm2 m2 ^m2 v~2
|^~2 vM2 M2 ^M2
|vDb Db ^Db ^^Db
|vvD vD D ^D
|-
|-
|De
!3rds
|Se
|10-17
|Re
|No Na Nu Ni
|Le
|Mi Mo Ma Mu
|Me
|vm3 m3 ^m3 v~3
|Te
|^~3 vM3 M3 ^M3
|Pe
|vEb Eb ^Eb ^^Eb
|
|vvE vE E ^E
|
|
|
|
|
|-
|-
|
!4ths
|
|18-20
|
| colspan="2" |Fo Fa Fu
|
| colspan="2" |v4 P4 ^4
|
| colspan="2" |vF F ^F
|
|-
|She
!tritones
|Fre
|21-25
|Fle
| colspan="2" |Fi/Sho Pi/Sha Po/Shu Pa/Shi Pu/Si
|Ne
| colspan="2" |v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5
|The
| colspan="2" |^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG
|Fe
|-
!5ths
|26-28
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 ^5
| colspan="2" |vG G ^G
|-
!6ths
|29-36
|Flo Fla Flu Fli
|Li Lo La Lu
|vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6
|vAb Ab ^Ab ^^Ab
|vvA vA A ^A
|-
!7ths
|37-44
|Tho Tha Thu Thi
|Ti To Ta Tu
|vm7 m7 ^m7 v~7
|^~7 vM7 M7 ^M7
|vBb Bb ^Bb ^^Bb
|vvB vB B ^B
|-
!8ves
|45-46 (47)
| colspan="2" |Do Da (Du)
| colspan="2" |v8 P8 (^8)
| 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/Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da'''
 
* plain segment: '''Da''' Sa Ra La Ma Ta Pa/Shi
* dup/downmid segment: Shi Fri Fli Ni Thi Fi/Sho
* down segment: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu
* up segment: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si
* dud/upmid segment: Si Ri Li Mi Ti Pi/Sha
* plain segment: Sha Fra Fla Na Tha Fa '''Da'''
 
== 48edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[48edo]]
!edosteps
! colspan="3" |solfege names
! colspan="6" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-2
| colspan="3" |Da Du Di/Fre
| colspan="3" |P1 ^1 ^^1/vvm2
| colspan="3" |C ^C ^^C/vvDb
|-
!2nds
|2-10
|Di/Fre Fro Fra Fru
|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
|10-18
|Ri/Ne No Na Nu
|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
|18-21
| colspan="3" |Mi/Fe Fo Fa Fu
| 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
|27-30
| colspan="3" |So Sa Su Si/Fle
| colspan="3" |v5 P5 ^5 ^^5/vvm6
| colspan="3" |vG G ^G ^^G/vvAb
|-
!6ths
|30-38
|Si/Fle Flo Fla Flu
|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
|38-46
|Li/The Tho Tha Thu
|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
|46-48
| colspan="3" |Ti/De Do Da (Du Di)
| colspan="3" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="3" |^^B/vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), inbetween names are bolded
![[48edo]]
!edosteps
! colspan="3" |solfege names
! colspan="6" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-'''2'''
| colspan="3" |Da Du '''Di=Fre'''
| colspan="3" |P1 ^1 ^^1
| colspan="3" |C ^C ^^C
|-
!2nds
|'''2-10'''
|'''Fre''' Fro Fra Fru
|Fri/Re
|Ro Ra Ru '''Ri=Ne'''
|vvm2 vm2 m2 ^m2
|~2
|vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db
|^^Db/vvD
|vD D ^D ^^D
|-
!3rds
|'''10-18'''
|'''Ne''' No Na Nu
|Ni/Me
|Mo Ma Mu '''Mi=Fe'''
|vvm3 vm3 m3 ^m3
|~3
|vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|^^Eb/vvE
|vE E ^E ^^E
|-
!4ths
|'''18-22'''
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi=Pe/She'''
| colspan="3" |vv4 v4 P4 ^4 ~4
| colspan="3" |vvF vF F ^F ^^F
|-
!tritones
|'''22-26'''
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi=Se'''
| colspan="3" |~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/~5
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
|-
!5ths
|'''26-30'''
| colspan="3" |'''Se''' So Sa Su '''Si=Fle'''
| colspan="3" |~5 v5 P5 ^5 ^^5
| colspan="3" |vvG vG G ^G ^^G
|-
!6ths
|'''30-38'''
|'''Fle''' Flo Fla Flu
|Fli/Le
|Lo La Lu '''Li=The'''
|vvm6 vm6 m6 ^m6
|~6
|vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab
|^^Ab/vvA
|vA A ^A ^^A
|-
!7ths
|'''38-46'''
|'''The''' Tho Tha Thu
|Thi/Te
|To Ta Tu '''Ti=De'''
|vvm7 vm7 m7 ^m7
|~7
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|^^Bb/vvB
|vB B ^B ^^B
|-
!8ves
|'''46'''-48
| colspan="3" |'''De''' Do Da (Du Di)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="3" |vvC vC C (^C ^^C)
|}
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
 
circle
!0
!28
!8
!36
!16
!44
!24
!4
!32
!12
!40
!20
!48
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
| colspan="14" |
|-
! rowspan="3" |up
 
circle
!1
!29
!9
!37
!17
!45
!25
!5
!33
!13
!41
!21
!1
|-
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
| colspan="14" |
|-
! rowspan="3" |down
 
circle
!47
!27
!7
!35
!15
!43
!23
!3
!31
!11
!39
!19
!47
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
| colspan="14" |
|-
! rowspan="5" |mid /
 
inbetween
 
circle
!2
!30
!10
!38
!18
!46
!26
!6
!34
!14
!42
!22
!2
|-
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
|Fre
|Fle
|Ne
|The
|Fe
|De
|De
|Se
|Re
|Le
|Me
|Te
|Pe
|
|-
|
|
|
|
|
|
|
|
|
|
|
|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" |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
|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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