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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).
{| class="wikitable center-all"
{| class="wikitable center-all"
|+the three vowel sequences
|+ the three vowel sequences
|-
!3 vowels
!3 vowels
!14-22, etc,
!14-22, etc,
|
|
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
|
|
|-
|-
!4 vowels
!4 vowels
!31, 41
!31, 41
| -i = mid
|<nowiki>-i = mid</nowiki>
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
| -i = mid
|<nowiki>-i = mid</nowiki>
|-
|-
!5 vowels
!5 vowels
!53, 60
!53, 60
| -e = dud
|<nowiki>-e = dud</nowiki>
| -o = down
|<nowiki>-o = down</nowiki>
| -a = plain
|<nowiki>-a = plain</nowiki>
| -u = up
|<nowiki>-u = up</nowiki>
| -i = dup
|<nowiki>-i = dup</nowiki>
|}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.
|}
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.


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?
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
=== Examples ===
*21edo: Da Du Ro Ra Ru Mo Ma Mu Fo Fa Fu So Sa Su Lo La Lu To Ta Tu Do Da
 
*
* 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.


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In edos with an even [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 (Ru/No) is named as both a 2nd and a 3rd, a "serd".
In 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".
*1sn/2nd = unisecond (secison)
 
*2nd/3rd = serd (thecond)
* 1sn/2nd = unisecond (secison)
*3rd/4th = ford (thorth)
* 2nd/3rd = serd (thecond)
*4th/5th = tritone
* 3rd/4th = ford (thorth)
*5th/6th = sifth (sexth)
* 4th/5th = tritone
*6th/7th =  sexth? siventh?
* 5th/6th = sifth (sexth)
*7th/8ve = setave? octenth?
* 6th/7th =  sexth? siventh?
===Example Scales===
* 7th/8ve = setave? octenth?
 
=== Example Scales ===
(The prime limits assumes a larger edo in which both 81/80 and 64/63 = 1 edostep)
(The prime limits assumes a larger edo in which both 81/80 and 64/63 = 1 edostep)
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
! rowspan="2" |3-limit
! rowspan="2" |3-limit
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|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 divide-and-conquer. Start with using this simple solfege:
 
Da - Ra - Ma - Fa - Sa - La - Ta - Da
 
This helps with unlearning 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.
* find the '''consonant''' via 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:


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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 176: Line 204:


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 correlation.


Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
If 81/80 maps to 1 edostep, then gu/yo = up/down. Likewise with the other commas. The table below shows that almost every edo has at least one such correlation. Parentheses are used when the prime's relative error is high, e.g. 12edo's prime 11.
 
{| class="wikitable center-all"
Once this is fully internalized, add in the other vowels, and learn how to respell the various tritones.
==About the edo list==
Thsi list only includes edos that have uniform solfeges, which are edos with both sharpness and penta-sharpness of 5 or less. Smaller edos are included with numeric solfeges. Excluded edos: 30, 37, 42, 44, 47, 49, 51-52, 54, 56-59, and everything 61 and over.
{| class="wikitable center-all"
|+
|+
colorspeak correlations for all 25 diatonic edos that have uniform solfeges with 5 vowels or less
!
!
!7 consonants
!12
!7 consonants + P-
!17
!13 consonants
!19
!BC
!22
!numeric
!24
!26
!27
!29
!31
!32
!33
!34
!36
!38
!39
!40
!41
!43
!45
!46
!48
!50
!53
!55
!60
|-
|-
!-a
! rowspan="2" |ya
|7
|
|(gu)
|
|gu
|
|
|gu
|gu
|
|
|
|gu
|
|
|(gu)
|
|gu
|
|
|gu
|(gu)
|
|gu
|
|
|5 12
|gu
| 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
|(yo)
26 29 31 36
|
|yo
|
|
|yo
|yo
|
|
|
|yo
|
|
|(yo)
|
|yo
|
|
|yo
|(yo)
|
|yo
|
|yo
|-
|-
!-i -o -a -u
! rowspan="2" |za
|
|
|ru
|
|ru
|ru
|
|ru
|ru
|
|ru
|ru
|ru
|ru
|(ru)
|
|ru
|ru
|
|ru
|ru
|
|ru
|
|
|
|
|20 25 27 41
|-
|-
!-e -o -a -u -i
|28 35
|
|
|40 48 53 60
|
|}
|zo
==5edo==
|
{| class="wikitable center-all"
|zo
|+solfeges
|zo
![[5edo]]
|
!0
|zo
!1
|zo
!2
|
!3
|zo
!4
|zo
!5
|zo
|zo
|(zo)
|
|zo
|zo
|
|zo
|zo
|
|zo
|
|
|-
|-
!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 center-all"
|+uniform circle of fifths
!
!0
!3
!1
!4
!2
!5
|-
!-a
|Da
|Sa
|Ra
|La
|
|
|
|
|-
|
!-a
|(ilo)
|(ilo)
|
|
|
|ilo
|
|
|
|ilo
|
|
|
|
|
|Na
|Tha
|Fa
|Da
|}
==6edo==
{| class="wikitable center-all"
|+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
!numeric solfege
|
|Wa
|thu
|Tu
|
|Ti
|
|Fo
|thu
|Fa
|
|Si
|thu
|Wa
|
|
|(thu)
|
|
|
|
|
|
|}
|}
==7edo==
 
{| class="wikitable center-all"
== 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. Smaller edos are included with numeric solfeges. Excluded edos: 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"
|+
|+
![[7edo]]
!
!0
!7 consonants
!1
!7 consonants + P-
!2
!13 consonants
!3
!BC
!4
!numeric
!5
!6
!7
|-
|-
!notes
!-a
|C
|7
|D
|
|E
|5 12
|F
| rowspan="4" |5 7 12
|G
| rowspan="4" |5 6
|A
 
|B
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
|-
!-e -o -a -u -i
|28 35
|
|40 48 53 60
|}
 
== 5edo ==
{| class="wikitable  center-all"
|+
various solfeges
![[5edo]]
!0
!1
!2
!3
!4
!5
|-
!notes
|C
|D / Eb
|E / F
|G / Ab
|A / Bb
|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
|}
|-
{| class="wikitable center-all"
!uniform solfege
|+circle of fifths
|Da
|Ra / Na
|Fa
|Sa
|La / Tha
|Da
|}
{| class="wikitable center-all"
|+
uniform circle of fifths
!
!
!0
!0
!3
!1
!4
!4
!1
!2
!5
!5
!2
!6
!3
!7
|-
|-
!uniform
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|
|Ta
|
|-
!-a
|
|
|Na
|Tha
|Fa
|Fa
|Da
|Da
|-
!BC
|Do
|So
|Re
|La
|Mi
|Ti
|Fa
|Do
|}
|}
==8edo==
 
{| class="wikitable center-all"
== 6edo ==
|+numeric solfege, see also edos 9-11
{| class="wikitable center-all"
![[8edo]]
|+
BC & numeric solfeges
![[6edo]]
!0
!0
!1
!1
Line 446: Line 591:
!5
!5
!6
!6
!7
!8
|-
|-
!solfege
!notes
|Wa
|C
|Tu
|D
|Ti
|Fo
|Fa
|Si
|Se
|E
|E
|Wa
|F# / Gb
|}
|G# / Ab
==9edo==
|A# / Bb
{| class="wikitable center-all"
|C
|+numeric solfege, see also 8edo, 10edo & 11edo
|-
![[9edo]]
!intervals
!0
|P1
!1
|M2
!2
|M3
!3
|A4 / d5
!4
|A5 / m6
!5
|A6 / m7
!6
|P8
!7
|-
!8
!BC solfege (12edo subset)
!9
|Do
|Re
|Mi
|Fi / Se
|Si / Le
|Li / Te
|Do
|-
|-
!solfege
!numeric solfege
|Wa
|Wa
|Tu
|Tu
Line 482: Line 626:
|Fa
|Fa
|Si
|Si
|Se
|E
|Na
|Wa
|Wa
|}
|}
==10edo==
 
{| class="wikitable center-all"
== 7edo ==
|+numeric solfege, see also 8edo, 9edo & 11edo
{| class="wikitable center-all"
![[10edo]]
|+
BC & uniform solfeges
![[7edo]]
!0
!0
!1
!1
Line 499: Line 642:
!6
!6
!7
!7
!8
!9
!10
|-
|-
!solfege
!notes
|Wa
|C
|Tu
|D
|Ti
|Fo
|Fa
|Si
|Se
|E
|E
|Na
|F
|Te
|G
|Wa
|A
|}
|B
{| class="wikitable center-all"
|C
|+uniform solfege (-a = plain, -o = down)
|-
![[10edo]]
!intervals
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
!cents
|0
|120
|240
|360
|480
|600
|720
|840
|960
|1080
|1200
|-
!notes
|C
|vD
|D / Eb
|vE
|F
|vF# / vG
|G
|vA
|A / Bb
|vB
|C
|-
!intervals
|P1
|P1
|~2
|P2
|M2 / m3
|P3
|~3
|P4
|P4
|~4 / ~5
|P5
|P5
|~6
|P6
|M6 / m7
|P7
|~7
|P8
|P8
|-
|-
!solfege
!BC solfege
|Do
|Re
|Mi
|Fa
|So
|La
|Ti
|Do
|-
!uniform solfege
|Da
|Da
|Ro
|Ra
|Ra / Na
|Ma
|Mo
|Fa
|Fa
|Po / So
|Sa
|Sa
|Lo
|La
|La / Tha
|Ta
|To
|Da
|Da
|-
!extra names
|
|Du / Fru
|
|Nu
|Ma
|Fu / Shu
|Fla
|Flu
|
|Thu / Do
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="7" |plain circle
circle of fifths
| rowspan="4" |
! colspan="7" |down circle
|-
!
!
!0
!0
!6
!2
!8
!4
!4
!10
!
!1
!1
!5
!2
!6
!3
!7
!7
!3
!9
!5
!1
|-
|-
!-a
!BC
|Do
|So
|Re
|La
|Mi
|Ti
|Fa
|Do
|-
!uniform
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|
|Ma
|
|Ta
!-o
|Ro
|Lo
|Mo
|To
|Po
|
|-
!-a
|
|
|Na
|Tha
|Fa
|Fa
|Da
|Da
!-o
|}
|
 
|
== 8edo ==
|
{| class="wikitable center-all"
|
|+
|So
numeric solfege
|Ro
![[8edo]]
|}
==11edo==
{| class="wikitable center-all"
|+numeric solfege, see also edos 8-10
![[11edo]]
!0
!0
!1
!1
Line 660: Line 731:
!7
!7
!8
!8
!9
!10
!11
|-
|-
!solfege
!solfege
Line 673: Line 741:
|Se
|Se
|E
|E
|Na
|Te
|Le
|Wa
|Wa
|}
|}
{| class="wikitable center-all"
 
|+someone's solfege from 11edo page, subset of 22edo
== 9edo ==
![[11edo]]
{| class="wikitable center-all"
|+
numeric solfege
![[9edo]]
!0
!0
!1
!1
Line 691: Line 759:
!8
!8
!9
!9
!10
!11
|-
|-
!solfege
!solfege
|Do
|Wa
|Ra
|Tu
|Re
|Me
|Mo
|Fu
|Su
|Lo
|La
|Ta
|Ti
|Ti
|Do
|Fo
|Fa
|Si
|Se
|E
|Na
|Wa
|}
|}
==12edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+conventional solfege (-i = sharp, -e = flat, -a = flat Re)
uniform solfege (-a = plain)
![[12edo]]
![[9edo]]
!0
!0
!1
!1
Line 722: Line 786:
!8
!8
!9
!9
!10
|-
!11
!cents
!12
|0
|133
|267
|400
|533
|667
|800
|933
|1067
|1200
|-
|-
!notes
!notes
|C
|C
|C# / Db
|D
|D
|D# / Eb
|Db/E
|E
|Eb/F#
|F
|F
|F# / Gb
|G
|G
|G# / Ab
|Gb/A
|A
|Ab/B
|A# / Bb
|Bb
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1 / m2
|M2
|M2
|A2 / m3
|m2/M3
|M3
|m3/A4
|P4
|P4
|A4 / d5
|P5
|P5
|A5 / m6
|d5/M6
|M6
|m6/M7
|A6 / m7
|m7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di / Ra
|Ra
|Re
|Fra/Ma
|Ri / Me
|Na/Pa
|Mi
|Fa
|Fa
|Fi / Se
|Sa
|So
|Sha/La
|Si / Le
|Fla/Ta
|La
|Tha
|Li / Te
|Da
|Ti
|Do
|}
|}
{| class="wikitable center-all"
Of qustionable merit. Circle of 5ths: Da Sa Ra La/Sha Ma/Fra Ta/Fla Pa/Na Tha Fa Da
|+'''circle of fifths (asymmetrical and major-centric)'''
 
== 10edo ==
{| class="wikitable center-all"
|+
numeric solfege
![[10edo]]
!0
!0
!7
!1
!2
!2
!9
!3
!4
!4
!11
!5
!6
!6
!1
!7
!8
!8
!3
!9
!10
!10
!5
!12
|-
|-
|Do
!solfege
|So
|Wa
|Re
|Tu
|La
|Mi
|Ti
|Ti
|Fi
|Fo
|Di
|Fa
|Si
|Si
|Ri
|Li
|
|
|-
|
|
|
|
|
|
|Se
|Se
|Ra
|E
|Le
|Na
|Me
|Te
|Te
|Fa
|Wa
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
|+
![[12edo]]
uniform solfege (-a = plain, -o = down)
![[10edo]]
!0
!0
!1
!1
Line 834: Line 882:
!9
!9
!10
!10
!11
|-
!12
!cents
|0
|120
|240
|360
|480
|600
|720
|840
|960
|1080
|1200
|-
|-
!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
|Da
|Da
|Du / Ro
|Ro
|Ra
|Ra / Na
|Ru / Mo
|Mo
|Ma
|Fa
|Fa
|Fu / So
|Po / So
|Sa
|Sa
|Su / Lo
|Lo
|La
|La / Tha
|Lu / To
|To
|Ta
|Da
|Da
|-
|-
!extras
!extra names
|
|
|Du / Fru
|
|
|Nu
|Ma
|Fu / Shu
|Fla
|Flu
|
|
|Thu / Do
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Tu
|}
|}
{| class="wikitable center-all"
{| 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
|-
|-
!-a
!-a
Line 919: Line 975:
|Ra
|Ra
|La
|La
|Ma
|Ta
|
|
|
|
!-o
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
!-a
|
|
|
|
|
|Na
|
|Tha
|-
|Fa
|Da
!-o
!-o
|
|
|
|
|
|
Line 938: Line 999:
|So
|So
|Ro
|Ro
|Lo
|}
|Mo
 
|To
== 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
|-
|-
!-u
!solfege
|
|Wa
|
|Tu
|
|Ti
|
|Fo
|
|
|Fu
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Fa
|Da
|Si
|Se
|E
|Na
|Te
|Le
|Wa
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #2 (-a = plain = perfect/major, -u = aug)
|+
![[12edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[11edo]]
!0
!0
!1
!1
Line 989: Line 1,049:
!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
|-
!intervals
|P1
|A1 / m2
|M2
|A2 / m3
|M3
|P4
|A4 / d5
|P5
|A5 / m6
|M6
|A6 / m7
|M7
|P8
|-
!solfege
|Da
|Du / Fra
|Ra
|Ru / Na
|Ma
|Fa
|Pa / Sha
|Sa
|Su / Fla
|La
|Lu / Tha
|Ta
|Da
|-
!extras
|
|
|
|
|
|
|
|
|Fo
|Mu
|
|
|
|
Line 1,048: Line 1,075:
|
|
|
|
|Do
|
|
|}
|C
{| class="wikitable center-all"
|+'''circle of fifths (asymmetrical and major-centric)'''
!
!0
!7
!2
!9
!4
!11
!6
!1
!8
!3
!10
!5
!12
|-
|-
!-a
!intervals
|P1
|^1/M2
|~2/M3
|m2/~3
|m3/v4
|P4/v5
|^4/P5
|^5/M6
|~6/M7
|m6/~7
|m7/v8
|P8
|-
!solfege
|Da
|Da
|Sa
|Du/Ra
|Ra
|Ri/Ma
|La
|Fra/Mi
|Ma
|Na/Fo
|Ta
|Fa/So
|Pa
|Fu/Sa
|
|Su/La
|
|Li/Ta
|
|Fla/Ti
|
|Tha/Do
|
|
|-
!-u
|
|
|
|
|
|
|
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|Da
|}
|}
==13b-edo==
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
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
|+
![[13edo]]
someone's solfege from 11edo page, a subset of 22edo
![[11edo]]
!0
!0
!1
!1
Line 1,129: Line 1,123:
!10
!10
!11
!11
!12
!13
|-
|-
!notes
!solfege
|C
|Do
|^C/D
|Ra
|^D/E
|Re
|vDb/^E
|Me
|Db/vEb
|Mo
|Eb/vF
|Fu
|Su
|Lo
|La
|Ta
|Ti
|Do
|}
 
== 12edo ==
{| class="wikitable  center-all"
|+
conventional solfege (-i = sharp, -e = flat, -a = flat Re)
![[12edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
!notes
|C
|C# / Db
|D
|D# / Eb
|E
|F
|F
|F# / Gb
|G
|G
|^G/A
|G# / Ab
|^A/B
|A
|vAb/^B
|A# / Bb
|Ab/vBb
|B
|Bb/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/M2
|A1 / m2
|^M2/M3
|M2
|vm2/^M3
|A2 / m3
|m2/vm3
|M3
|m3/v4
|P4
|P4
|A4 / d5
|P5
|P5
|^5/M6
|A5 / m6
|^M6/M7
|M6
|vm6/^M7
|A6 / m7
|m6/vm7
|M7
|m7/v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Ra
|Di / Ra
|Ru/Ma
|Re
|Fro/Mu
|Ri / Me
|Fra/No
|Mi
|Na/Fo
|Fa
|Fa
|Sa
|Fi / Se
|Su/La
|So
|Lu/Ta
|Si / Le
|Flo/Tu
|La
|Fla/Tho
|Li / Te
|Tha/Do
|Ti
|Da
|Do
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circle of fifths'''
|+
!
'''circle of fifths (asymmetrical and major-centric)'''
!0
!0
!7
!7
!2
!9
!4
!11
!6
!1
!1
!8
!8
!2
!9
!3
!3
!10
!10
!4
!11
!5
!5
!12
!12
!6
!13
|-
|-
!-a
|Do
|Da
|So
|Sa
|Re
|Ra
|La
|La
|Ma
|Mi
|Ta
|Ti
|Fi
|Di
|Si
|Ri
|Li
|
|
|
|
|-
|
|
|
|
Line 1,213: Line 1,240:
|
|
|
|
|Se
|Ra
|Le
|Me
|Te
|Fa
|Da
|-
|-
!-u
! colspan="2" |perfect
|
! colspan="4" |major
|
! colspan="5" |aug / minor
|Du
! colspan="2" |perfect
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|-
!-a
|
|
|
|
|
|
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
==14edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
![[14edo]]
![[12edo]]
!0
!0
!1
!1
Line 1,279: Line 1,270:
!11
!11
!12
!12
!13
!14
|-
|-
!notes
!notes
|C
|C
|^C/vD
|C# / Db
|D
|D
|^D/vE
|D# / Eb
|E
|E
|^E/vF
|F
|F
|^F/vG
|F# / Gb
|G
|G
|^G/vA
|G# / Ab
|A
|A
|^A/vB
|A# / Bb
|B
|B
|^B/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/v2
|A1 / m2
|P2
|M2
|^2/v3
|A2 / m3
|P3
|M3
|^3/v4
|P4
|P4
|^4/v5
|A4 / d5
|P5
|P5
|^5/v6
|A5 / m6
|P6
|M6
|^6/v7
|A6 / m7
|P7
|M7
|^7/v8
|P8
|P8
|-
|-
!uniform solfege
!solfege
|Da
|Da
|Du/Ro
|Du / Ro
|Ra
|Ra
|Ru/Mo
|Ru / Mo
|Ma
|Ma
|Mu/Fo
|Fa
|Fa
|Fu/So
|Fu / So
|Sa
|Sa
|Su/Lo
|Su / Lo
|La
|La
|Lu/To
|Lu / To
|Ta
|Ta
|Tu/Do
|Da
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|
|
|
|
|
|Do
|Tu
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="9" |plain circle
'''circle of fifths (asymmetrical and major-centric)'''
| rowspan="4" |
! colspan="9" |up/down circle
|-
!
!
!0
!0
!8
!7
!2
!2
!10
!9
!4
!4
!12
!11
!6
!6
!14
!
!7
!1
!1
!9
!8
!3
!3
!11
!10
!5
!5
!13
!12
!7
|-
|-
!-a
!-a
Line 1,365: Line 1,356:
|Ma
|Ma
|Ta
|Ta
|Fa
|
|Da
|
!-u
|
|Fu
|
|Du
|
|Su
|
|Ru
|
|Lu
|Mu
|Tu
|Fu
|-
|-
| colspan="9" |
!-o
!-o
|
|
|
|
|
|
|So
|So
|Ro
|Ro
Line 1,384: Line 1,376:
|Mo
|Mo
|To
|To
|Fo
|
|Do
|
|So
|}
==15edo==
{| class="wikitable center-all"
|+uniform solfege (-u = up, -o = down, -a = plain)
![[15edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|-
!cents
!-u
|0
|
|80
|
|160
|
|240
|
|320
|
|400
|
|480
|Fu
|560
|Du
|640
|Su
|720
|Ru
|800
|Lu
|880
|
|960
|
|1040
|-
|1120
!-a
|1200
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
{| class="wikitable  center-all"
|+
uniform solfege #2 (-a = plain = perfect/major, -u = aug)
![[12edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|-
!notes
!notes
|C
|C
|^Db
|C# / Db
|vD
|D
|D / Eb
|D# / Eb
|^Eb
|E
|vE
|F
|E / F
|F# / Gb
|^F / ^Gb
|G
|vF# / vG
|G# / Ab
|G / Ab
|A
|^Ab
|A# / Bb
|vA
|B
|A / Bb
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|A1 / m2
|vM2
|M2
|M2 / m3
|A2 / m3
|^m3
|M3
|vM3
|P4
|M3 / P4
|A4 / d5
|^4 / ^d5
|P5
|vA4 / v5
|A5 / m6
|P5 / m6
|M6
|^m6
|A6 / m7
|vM6
|M7
|M6 / m7
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du / Fra
|Ro
|Ra
|Ra / Na
|Ru / Na
|Nu
|Ma
|Mo
|Fa
|Fa
|Fu / Shu
|Pa / Sha
|Po / So
|Sa
|Sa
|Flu
|Su / Fla
|Lo
|La
|La / Tha
|Lu / Tha
|Thu
|Ta
|To
|Da
|Da
|-
|-
!extras
!extras
|
|Du
|
|
|
|
|
|
|
|
|
|
|
|Fo
|Mu
|
|
|
|
Line 1,499: Line 1,487:
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="6" |plain circle
'''circle of fifths (asymmetrical and major-centric)'''
| rowspan="4" |
!
! colspan="6" |up circle
!0
| rowspan="4" |
!7
! colspan="6" |down circle
!2
|-
!0
!9
!9
!3
!4
!12
!11
!6
!6
!15
!1
!1
!8
!3
!10
!10
!4
!13
!7
!1
!2
!11
!5
!5
!14
!12
!8
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|-
!-u
|
|
|
|
|Na
|Tha
|Fa
|Da
|
|
|
|
|
|
|
|
|Shu
|
|Fru
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|So
|Sha
|Ro
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
|}
{| class="wikitable center-all"
 
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 20edo, 22edo
== 13b-edo ==
![[15edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
![[13edo]]
!0
!0
!1
!1
Line 1,581: Line 1,570:
!12
!12
!13
!13
!14
!15
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|^Db
|^C/D
|vD
|^D/E
|D/Eb
|vDb/^E
|^Eb
|Db/vEb
|vE
|Eb/vF
|E/F
|F
|^F
|G
|vG
|^G/A
|G/Ab
|^A/B
|^Ab
|vAb/^B
|vA
|Ab/vBb
|A/Bb
|Bb/vC
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1/M2
|vM2
|^M2/M3
|M2/m3
|vm2/^M3
|^m3
|m2/vm3
|vM3
|m3/v4
|M3/P4
|P4
|^4
|P5
|v5
|^5/M6
|P5/m6
|^M6/M7
|^m6
|vm6/^M7
|vM6
|m6/vm7
|M6/m7
|m7/v8
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Ru
|Du/Ra
|Ro
|Ru/Ma
|Ra/Mi
|Fro/Mu
|Mu
|Fra/No
|Mo
|Na/Fo
|Ma/Fa
|Fa
|Fu
|Sa
|So
|Su/La
|Sa/Li
|Lu/Ta
|Lu
|Flo/Tu
|Lo
|Fla/Tho
|La/Ti
|Tha/Do
|Tu
|To
|Da
|Da
|}circles of 5ths: Fu Ru Lu Mu Tu Fu --- Da Sa/Li Ra/Mi La/Ti Ma/Fa Da --- So Ro Lo Mo To So
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+someone's BC solfege from the 15edo page
|+
![[15edo]]
'''circle of fifths'''
!
!0
!0
!7
!1
!1
!8
!2
!2
!9
!3
!3
!10
!4
!4
!11
!5
!5
!12
!6
!6
!7
!8
!9
!10
!11
!12
!13
!13
!14
!15
|-
|-
!notes
!-a
|C
|Da
|^C
|Sa
|vD
|Ra
|D
|La
|^Eb
|Ma
|vE
|Ta
|F
|
|^F
|
|vG
|
|G
|
|^Ab
|
|vA
|
|Bb
|
|^Bb
|
|vB
|C
|-
|-
!intervals
!-u
|P1
|
|^1
|
|vM2
|Du
|M2
|Su
|^m3
|vM3
|P4
|^4
|v5
|P5
|^m6
|vM6
|m7
|^m7
|vM7
|P8
|-
!solfege
|Do
|Di
|Ru
|Ru
|Re
|Lu
|Me
|Mu
|Mi
|Fa
|Fu
|Su
|So
|Le
|La
|Ta
|Tu
|Tu
|Ti
|
|Do
|
|}
|
==16edo==
|
{| class="wikitable center-all"
|
|+uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
|
![[16edo]]
|-
!-o
|
|
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|-
!-a
|
|
|
|
|
|
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|}
 
== 14edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
![[14edo]]
!0
!0
!1
!1
Line 1,749: Line 1,723:
!13
!13
!14
!14
!15
!16
|-
!cents
|0
|75
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^C/vD
|D
|D
|Db
|^D/vE
|E
|E
|Eb
|^E/vF
|Ebb/F#
|F
|F
|Fb/G#
|^F/vG
|G
|G
|Gb/A#
|^G/vA
|A
|A
|Ab
|^A/vB
|B
|B
|Bb
|^B/vC
|Bbb/C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^1/v2
|M2
|P2
|m2
|^2/v3
|M3
|P3
|m3
|^3/v4
|d3/A4
|P4
|P4
|d4/A5
|^4/v5
|P5
|P5
|d5/A6
|^5/v6
|M6
|P6
|m6
|^6/v7
|M7
|P7
|m7
|^7/v8
|d7/A8
|P8
|P8
|-
|-
!solfege
!uniform solfege
|Da
|Da
|Du/Ro
|Du/Ro
|Ra
|Ra
|Fra
|Ru/Mo
|Ma
|Ma
|Na
|Mu/Fo
|Nu/Pa
|Fa
|Fa
|Fu/So
|Fu/So
|Sa
|Sa
|Sha/Lo
|Su/Lo
|La
|La
|Fla
|Lu/To
|Ta
|Ta
|Tha
|Tu/Do
|Thu/Do
|Da
|Da
|}
{| class="wikitable  center-all"
|+
'''circles of fifths'''
! colspan="9" |plain circle
| rowspan="4" |
! colspan="9" |up/down circle
|-
|-
!extras
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|}
{| class="wikitable center-all"
|+'''circle of fifths'''
!
!
!0
!0
!8
!2
!10
!4
!12
!6
!14
!
!7
!1
!9
!9
!2
!3
!11
!11
!4
!5
!13
!13
!6
!15
!8
!1
!10
!3
!12
!5
!14
!7
!7
!16
|-
|-
!-a
!-a
Line 1,875: Line 1,808:
|Ma
|Ma
|Ta
|Ta
|Pa
|Fa
|
|Da
|
|
|
|
|
|
|
|
|
|-
!-u
!-u
|
|
|
|
|
|
|Nu
|Thu
|Fu
|Fu
|Du
|Du
|
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Fu
|
|-
|-
| colspan="9" |
!-o
!-o
|
|So
|
|Ro
|
|Lo
|
|Mo
|
|To
|
|Fo
|
|Do
|Do
|So
|So
|Ro
|Lo
|
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
 
|+Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
== 15edo ==
![[16edo]]
{| class="wikitable center-all"
|+
uniform solfege (-u = up, -o = down, -a = plain)
![[15edo]]
!0
!0
!1
!1
Line 1,970: Line 1,853:
!14
!14
!15
!15
!16
|-
|-
!notes
!cents
|C
|0
|Cb/D#
|80
|D
|160
|Db/E#
|240
|E
|320
|Eb
|400
|F#
|480
|F
|560
|Fb/G#
|640
|G
|720
|Gb/A#
|800
|A
|880
|Ab/B#
|960
|B
|1040
|Bb
|1120
|C#
|1200
|-
!notes
|C
|^Db
|vD
|D / Eb
|^Eb
|vE
|E / F
|^F / ^Gb
|vF# / vG
|G / Ab
|^Ab
|vA
|A / Bb
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^m2
|M2
|vM2
|m2/A3
|M2 / m3
|M3
|^m3
|m3
|vM3
|A4
|M3 / P4
|P4
|^4 / ^d5
|d4/A5
|vA4 / v5
|P5
|P5 / m6
|d5/A6
|^m6
|M6
|vM6
|m6/A7
|M6 / m7
|M7
|^m7
|m7
|vM7
|A8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|De/Ri
|Fru
|Re
|Ro
|Ra/Ma
|Ra / Na
|Mi
|Nu
|Me
|Mo
|Fi
|Fa
|Fa
|Fe/Si
|Fu / Shu
|So
|Po / So
|Se/Li
|Sa
|La
|Flu
|Le/Ta
|Lo
|Ti
|La / Tha
|Te
|Thu
|Di
|To
|Da
|-
!extras
|
|Du
|
|
|
|
|
|
|
|
|
|
|
|
|Do
|Do
|
|}
|}
==17edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down)
'''circles of fifths'''
![[17edo]]
! colspan="6" |plain circle
| rowspan="4" |
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |down circle
|-
!0
!0
!1
!9
!2
!3
!3
!4
!12
!5
!6
!6
!7
!15
!8
!1
!9
!10
!10
!11
!4
!12
!13
!13
!7
!1
!2
!11
!5
!14
!14
!15
!8
!16
!2
!17
|-
!notes
|C
|^C / Db
|vD
|D
|^D / Eb
|vE
|E
|F
|^F / Gb
|F# / vG
|G
|Ab
|vA
|A
|^A / Bb
|vB
|B / vC
|C
|-
|-
!intervals
|P1
|^1 / m2
|~2
|M2
|^M2 / m3
|~3
|M3
|P4
|~4 / d5
|A4 / ~5
|P5
|m6
|~6
|M6
|^M6 / m7
|~7
|M7 / v8
|P8
|-
!solfege
|Da
|Da
|Du / Fra
|Sa
|Ro
|Ra
|Ra
|Na
|Mo
|Ma
|Fa
|Fu / Sha
|Pa / So
|Sa
|Fla
|Lo
|La
|La
|Tha
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|Ro
|Lo
|Mo
|To
|To
|Ta / Do
|Po
|
|-
|
|
|Na
|Tha
|Fa
|Da
|Da
|-
!extras
|
|
|
|
|Fru
|No
|Ru
|Nu
|Fo
|
|
|
|
|Shu
|Fru
|
|
|
|
|Su
|Flu
|Tho
|Lu
|Thu
|
|
|
|
|So
|Ro
|}
|}
{| class="wikitable center-all"
{| 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
!10
!1
!2
!3
!3
!13
!4
!5
!6
!6
!16
!7
!8
!9
!9
!2
!10
!11
!12
!12
!5
!13
!14
!15
!15
!8
!1
!11
!4
!14
!7
!17
|-
|-
!-a
!cents
|Da
|0
|Sa
|80
|Ra
|160
|La
|240
|Ma
|320
|Ta
|400
|Pa
|480
|
|560
|
|640
|
|720
|
|800
|
|880
|
|960
|
|1040
|
|1120
|
|1200
|
|
|-
|-
!-o
!notes
|
|C
|
|^Db
|
|vD
|
|D/Eb
|
|^Eb
|Do
|vE
|So
|E/F
|Ro
|^F
|Lo
|vG
|Mo
|G/Ab
|To
|^Ab
|
|vA
|
|A/Bb
|
|^Bb
|
|vB
|
|C
|
|
|-
|-
!-u
!intervals
|
|P1
|
|^m2
|
|vM2
|
|M2/m3
|
|^m3
|
|vM3
|
|M3/P4
|(Fru)
|^4
|(Flu)
|v5
|(Nu)
|P5/m6
|(Thu)
|^m6
|Fu
|vM6
|Du
|M6/m7
|
|^m7
|
|vM7
|
|P8
|
|
|-
|-
!-a
!solfege
|
|Da
|
|Ru
|
|Ro
|
|Ra/Mi
|
|Mu
|
|Mo
|
|Ma/Fa
|
|Fu
|
|So
|
|Sa/Li
|
|Lu
|Sha
|Lo
|Fra
|La/Ti
|Fla
|Tu
|Na
|To
|Tha
|Fa
|Da
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="6" |mid
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
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
|+Andrew's BC solfege (-u = mid)
{| class="wikitable center-all"
![[17edo]]
|+
someone's BC solfege from the 15edo page
![[15edo]]
!0
!0
!1
!1
Line 2,260: Line 2,124:
!14
!14
!15
!15
!16
!17
|-
|-
!notes
!notes
|C
|C
|^C / Db
|^C
|C# / vD
|vD
|D
|D
|^D / Eb
|^Eb
|D# / vE
|vE
|E
|F
|F
|^F / Gb
|^F
|F# / vG
|vG
|G
|G
|^G / Ab
|^Ab
|G# / vA
|vA
|A
|Bb
|^A / Bb
|^Bb
|A# / vB
|vB
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|^1
|A1 / ~2
|vM2
|M2
|M2
|^M2 / m3
|^m3
|A2 / ~3
|vM3
|M3
|P4
|P4
|~4 / d5
|^4
|A4 / ~5
|v5
|P5
|P5
|^5 / m6
|^m6
|A5 / ~6
|vM6
|M6
|m7
|^M6 / m7
|^m7
|A6 / ~7
|vM7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Da / Ra
|Di
|Di / Ru
|Ru
|Re
|Re
|Ro / Me
|Me
|Ri / Mu
|Mi
|Mi
|Fa
|Fa
|Fu / Se
|Fu
|Fi / Su
|Su
|So
|So
|Sa / Le
|Le
|Si / Lu
|La
|La
|Lo / Te
|Ta
|Li / Tu
|Tu
|Ti
|Ti
|Do
|Do
|}
|}
==18b-edo==
 
{| class="wikitable center-all"
== 16edo ==
|+uniform solfege (-a = plain, -u = up, -o = down)
{| class="wikitable center-all"
![[18edo]]
|+
uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[16edo]]
!0
!0
!1
!1
Line 2,344: Line 2,202:
!15
!15
!16
!16
!17
|-
!18
!cents
|0
|75
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
|-
!notes
!notes
|C
|C
|^C
|Cb/D#
vD
|D
|D
|^D
vDb
|Db
|Db
E
|E
|^E
vEb
|Eb
|Eb
|^Eb / ^F#
|Ebb/F#
vF
|F
|F
|^F
|Fb/G#
vG
|G
|G
|^G
|Gb/A#
^Gb / vA
|A
|A
|^A
vAb
|Ab
|Ab
B
|B
|^B
vBb
|Bb
|Bb
|^Bb
|Bbb/C#
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|d1/A2
vM2
|M2
|M2
|~2
|m2
|m2
M3
|M3
|~3
|m3
|m3
|^m3 / ^A4
|d3/A4
v4
|P4
|P4
|^4
|d4/A5
v5
|P5
|P5
|^5
|d5/A6
vd5 / vM6
|M6
|M6
|~6
|m6
|m6
M7
|M7
|~7
|m7
|m7
|^m7
|d7/A8
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du/Ro
Ro
|Ra
|Ra
|Ru
Fro
|Fra
|Fra
Ma
|Ma
|Mu
No
|Na
|Na
|Nu / Pu
|Nu/Pa
Fo
|Fa
|Fa
|Fu
|Fu/So
So
|Sa
|Sa
|Su
|Sha/Lo
Sho / Lo
|La
|La
|Lu
Flo
|Fla
|Fla
Ta
|Ta
|Tu
Tho
|Tha
|Tha
|Thu
|Thu/Do
Do
|Da
|Da
|-
|-
Line 2,442: Line 2,282:
|
|
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|Pa
|
|
|
|}
|
{| class="wikitable center-all"
|
|+
|
'''circle of fifths'''
|Sha
!
|
!0
|
!9
|
|
|
|
|}
{| class="wikitable center-all"
|+circles of fifths
! colspan="11" |plain circle
| rowspan="4" |
! colspan="11" |up/down circle
|-
!
!0
!10
!2
!2
!12
!11
!4
!4
!14
!13
!6
!6
!16
!15
!8
!8
!18
!
!9
!1
!1
!11
!10
!3
!3
!13
!12
!5
!5
!15
!14
!7
!7
!17
!16
!9
|-
|-
!-a
!-a
Line 2,496: Line 2,327:
|Ma
|Ma
|Ta
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
!-u
!-u
|
|
|
|
|
|
|Nu
|Thu
|Fu
|Fu
|Du
|Du
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Pu/Nu
|
|Thu
|
|Fu
|-
|-
!-a
!-o
|
|
|
|
|
|
|
|
|
|
|
|Do
|So
|Ro
|Lo
|
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fra
|Fla
|Fla
Line 2,523: Line 2,395:
|Fa
|Fa
|Da
|Da
!-o
|-
|So
!
|Ro
! colspan="2" |perfect
|Lo/Sho
! colspan="4" |major
|Fro
! colspan="5" |in-between
|Flo
! colspan="4" |minor
|No
! colspan="2" |perfect
|Tho
|Fo
|Do
|So
|}
|}
==19edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+traditional solfege
Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[19edo]]
![[16edo]]
!0
!0
!1
!1
Line 2,556: Line 2,424:
!15
!15
!16
!16
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|Cb/D#
|Db
|D
|D
|D#/Ebb
|Db/E#
|E
|Eb
|Eb
|E
|F#
|E#/Fb
|F
|F
|F#
|Fb/G#
|Gb
|G
|G
|G#/Abb
|Gb/A#
|Ab
|A
|A
|A#/Bbb
|Ab/B#
|B
|Bb
|Bb
|B
|C#
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|d1/A2
|m2
|M2
|M2
|A2/d3
|m2/A3
|M3
|m3
|m3
|M3
|A4
|A3/d4
|P4
|P4
|A4
|d4/A5
|d5
|P5
|P5
|A5/d6
|d5/A6
|m6
|M6
|M6
|A6/d7
|m6/A7
|M7
|m7
|m7
|M7
|A8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Di/Ro
|De/Ri
|Ra
|Re
|Re
|Ri/Ma
|Ra/Ma
|Mi
|Me
|Me
|Mi
|Fi
|Mo/Fe
|Fa
|Fa
|Fi
|Fe/Si
|Se
|So
|So
|Si/Lo
|Se/Li
|Le
|La
|La
|Li/Ta
|Le/Ta
|Ti
|Te
|Te
|Ti
|Di
|To/Da
|Do
|Do
|}
|}
{| class="wikitable center-all"
 
|+uniform solfege (-a = plain, -u = up, -o = down)
== 17edo ==
![[19edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down)
![[17edo]]
!0
!0
!1
!1
Line 2,647: Line 2,506:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|vE
|E
|E
|E#/Fb
|F
|F
|F#/Gbb
|^F / Gb
|Fx/Gb
|F# / vG
|G
|G
|G#/Abb
|Ab
|Ab
|vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|vB
|B
|B / vC
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1 / m2
|m2
|~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|~3
|M3
|M3
|A3/d4
|P4
|P4
|A4/dd5
|~4 / d5
|AA4/d5
|A4 / ~5
|P5
|P5
|A5/d6
|m6
|m6
|~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|~7
|M7
|M7 / v8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du/Fro
|Du / Fra
|Fra
|Ro
|Ra
|Ra
|Ru/No
|Na
|Na
|Mo
|Ma
|Ma
|Mu/Fo
|Fa
|Fa
|Pa/Sho
|Fu / Sha
|Pu/Sha
|Pa / So
|Sa
|Sa
|Su/Flo
|Fla
|Fla
|Lo
|La
|La
|Lu/Tho
|Tha
|Tha
|Ta
|To
|Tu/Do
|Ta / Do
|Da
|Da
|-
|-
Line 2,719: Line 2,570:
|
|
|
|
|Fru
|No
|Ru
|Nu
|Fo
|
|
|
|
|
|
|
|
|Su
|Flu
|Tho
|Lu
|Thu
|
|
|
|
|Po
|}
|Fu
{| class="wikitable center-all"
|So
|+
|Shu
circle of fifths
|
!
|
!0
|
!10
|
|
|
|
|
|}
{| class="wikitable center-all"
|+circle of fifths
!
!0
!11
!3
!3
!14
!13
!6
!6
!17
!16
!9
!9
!2
!12
!5
!15
!8
!1
!1
!12
!11
!4
!4
!15
!14
!7
!7
!18
!17
!10
!2
!13
!5
!16
!8
!19
|-
|-
!-a
!-a
Line 2,770: Line 2,618:
|Ta
|Ta
|Pa
|Pa
|
|
|
|
|
|
Line 2,790: Line 2,636:
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|Do
|So
|Ro
|Lo
|Mo
|To
|
|
|
|
Line 2,814: Line 2,658:
|
|
|
|
|(Fru)
|(Flu)
|(Nu)
|(Thu)
|Fu
|Du
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
Line 2,829: Line 2,671:
|-
|-
!-a
!-a
|
|
|
|
|
|
Line 2,853: Line 2,693:
! colspan="2" |perfect
! colspan="2" |perfect
! colspan="4" |major
! colspan="4" |major
! colspan="8" |in-between
! colspan="6" |mid
! colspan="4" |minor
! colspan="4" |minor
! colspan="2" |perfect
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
|+
![[19edo]]
Andrew's BC solfege (-u = mid)
![[17edo]]
!0
!0
!1
!1
Line 2,878: Line 2,719:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|C# / vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|D# / vE
|E
|E
|E#/Fb
|F
|F
|F#
|^F / Gb
|Gb
|F# / vG
|G
|G
|G#/Abb
|^G / Ab
|Ab
|G# / vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|A# / vB
|B
|B
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1 / m2
|m2
|A1 / ~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|A2 / ~3
|M3
|M3
|A3/d4
|P4
|P4
|A4
|~4 / d5
|d5
|A4 / ~5
|P5
|P5
|A5/d6
|^5 / m6
|m6
|A5 / ~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|A6 / ~7
|M7
|M7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du
|Da / Ra
|Ro
|Di / Ru
|Ra
|Re
|Ru
|Ro / Me
|Mo
|Ri / Mu
|Ma
|Mi
|Mu
|Fa
|Fa/Po
|Fu / Se
|Fu/Pa
|Fi / Su
|So
|So
|Sa
|Sa / Le
|Su
|Si / Lu
|Lo
|La
|La
|Lu
|Lo / Te
|To
|Li / Tu
|Ta
|Ti
|Tu/Do
|Do
|Da
|}
|-
 
!extras
== 18b-edo ==
|
{| class="wikitable center-all"
|
|+
|
uniform solfege (-a = plain, -u = up, -o = down)
|
![[18edo]]
|
|
|
|Fo
|
|Sho
|Pu
|Shu
|
|
|
|
|
|
|
|
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu/'''Do''' So Ro Lo Mo To Po/Fa '''Da'''
==20edo==
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!0
!1
!1
Line 2,992: Line 2,805:
!17
!17
!18
!18
!19
!20
|-
|-
!cents
!notes
|0
|C
|60
|^C
|120
 
|180
vD
|240
|D
|300
|^D
|360
 
|420
vDb
|480
|Db
|540
 
|600
E
|660
|^E
|720
 
|780
vEb
|840
|Eb
|900
|^Eb / ^F#
|960
 
|1020
vF
|1080
|1140
|1200
|-
!notes
|C
|^Db
|vvD
|vD
|D/Eb
|^Eb
|vvE
|vE
|F
|F
|^F/^Gb
|^F
|^^F/vvG
 
|vF#/vG
vG
|G
|G
|^Ab
|^G
|vvA
 
|vA
^Gb / vA
|A/Bb
|A
|^A
 
vAb
|Ab
 
B
|^B
 
vBb
|Bb
|^Bb
|^Bb
|vvB
 
|vB
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1
 
vM2
|M2
|~2
|~2
|vM2
|m2
|M2/m3
 
|^m3
M3
|~3
|~3
|vM3
|m3
|^m3 / ^A4
 
v4
|P4
|P4
|^4/^d5
|^4
|~4/~5
 
|vA4/v5
v5
|P5
|P5
|^m6
|^5
 
vd5 / vM6
|M6
|~6
|~6
|vM6
|m6
|M6/m7
 
M7
|~7
|m7
|^m7
|^m7
|~7
 
|vM7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du
|Ri
 
|Ro
Ro
|Ra/Na
|Ra
|Nu
|Ru
|Mi
 
|Mo
Fro
|Fra
 
Ma
|Mu
 
No
|Na
|Nu / Pu
 
Fo
|Fa
|Fa
|Fu/Shu
|Fu
|Fi/Si
 
|Po/So
So
|Sa
|Sa
|Flu
|Su
|Li
 
|Lo
Sho / Lo
|La/Tha
|La
|Lu
 
Flo
|Fla
 
Ta
|Tu
 
Tho
|Tha
|Thu
|Thu
|Ti
 
|To
Do
|Da
|Da
|-
|-
!extras
!extras
|
|
|Du
|
|
|
|
Line 3,095: Line 2,934:
|
|
|
|
|Pa
|
|
|Ma
|
|
|
|
|
|
|Fla
|
|
|Sha
|
|
|
|
Line 3,107: Line 2,946:
|
|
|
|
|Do
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! colspan="6" |plain circle
circles of fifths
! colspan="11" |plain circle
| rowspan="4" |
| rowspan="4" |
! colspan="6" |up circle
! colspan="11" |up/down circle
| rowspan="4" |
! colspan="6" |mid circle
| rowspan="4" |
! colspan="6" |down circle
|-
|-
!
!0
!0
!10
!2
!12
!12
!4
!4
!14
!6
!16
!16
!8
!8
!20
!18
!
!9
!1
!1
!11
!3
!13
!13
!5
!5
!15
!7
!17
!17
!9
!9
!1
!2
!14
!6
!18
!10
!2
!2
!11
!5
!14
!8
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
|Ra
|Ra
|La
|La
|Ma
|Ta
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|
|Ri
!-u
|Li
|Fu
|Mi
|Du
|Ti
|Su
|Pi
|Ru
|Lu
|Mu
|Tu
|Pu/Nu
|Thu
|Fu
|-
!-a
|
|
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
|
|
|
|
|Fra
|Fla
|Na
|Na
|Tha
|Tha
|Fa
|Fa
|Da
|Da
|
!-o
|
|
|
|Shu
|Fru
|
|
|
|
|Si
|Ri
|
|
|
|
|So
|So
|Ro
|Ro
|Lo/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|}
|}
{| class="wikitable center-all"
 
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -e = mid, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo, 22edo
== 19edo ==
![[20edo]]
{| class="wikitable center-all"
|+
traditional solfege
![[19edo]]
!0
!0
!1
!1
Line 3,218: Line 3,050:
!18
!18
!19
!19
!20
|-
|-
!notes
!notes
|C/Db
|C
|^Db
|C#/Dbb
|vvD
|Db
|vD
|D
|D/Eb
|D#/Ebb
|^Eb
|Eb
|vvE
|E
|vE
|E#/Fb
|E/F
|F
|^F
|F#
|^^F/vvG
|Gb
|vG
|G
|G/Ab
|G#/Abb
|^Ab
|Ab
|vvA
|A
|vA
|A#/Bbb
|A/Bb
|Bb
|^Bb
|B
|vvB
|B#/Cb
|vB
|C
|B/C
|-
|-
!intervals
!intervals
|P1/m2
|P1
|^m2
|A1/d2
|~2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|~3
|M3
|vM3
|A3/d4
|M3/P4
|P4
|^4
|A4
|~4/~5
|d5
|v5
|P5
|P5/m6
|A5/d6
|^m6
|m6
|~6
|M6
|vM6
|A6/d7
|M6/m7
|m7
|^m7
|M7
|~7
|A7/d8
|vM7
|P8
|M7/P8
|-
|-
!solfege
!solfege
|Da/Ri
|Do
|Ru
|Di/Ro
|Ra
|Re
|Re
|Ro
|Ri/Ma
|Ra/Mi
|Mu
|Me
|Me
|Mo
|Mi
|Ma/Fa
|Mo/Fe
|Fu
|Fa
|Fe/Se
|Fi
|Se
|So
|So
|Sa/Li
|Si/Lo
|Lu
|Le
|Le
|Lo
|La
|La/Ti
|Li/Ta
|Tu
|Te
|Te
|To
|Ti
|Ta/Da
|To/Da
|Do
|}
|}
==21edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
uniform solfege (-a = plain, -u = up, -o = down)
![[21edo]]
![[19edo]]
!0
!0
!1
!1
Line 3,313: Line 3,141:
!18
!18
!19
!19
!20
!21
|-
|-
!notes
!notes
|C
|C
|^C
|C#/Dbb
|vD
|Db
|D
|D
|^D
|D#/Ebb
|vE
|Eb
|E
|E
|^E
|E#/Fb
|vF
|F
|F
|^F
|F#/Gbb
|vG
|Fx/Gb
|G
|G
|^G
|G#/Abb
|vA
|Ab
|A
|A
|^A
|A#/Bbb
|vB
|Bb
|B
|B
|^B
|B#/Cb
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|A1/d2
|v2
|m2
|P2
|M2
|^2
|A2/d3
|v3
|m3
|P3
|M3
|^3
|A3/d4
|v4
|P4
|P4
|^4
|A4/dd5
|v5
|AA4/d5
|P5
|P5
|^5
|A5/d6
|v6
|m6
|P6
|M6
|^6
|A6/d7
|v7
|m7
|P7
|M7
|^7
|A7/d8
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du/Fro
|Ro
|Fra
|Ra
|Ra
|Ru
|Ru/No
|Mo
|Na
|Ma
|Ma
|Mu
|Mu/Fo
|Fo
|Fa
|Fa
|Fu
|Pa/Sho
|So
|Pu/Sha
|Sa
|Sa
|Su
|Su/Flo
|Lo
|Fla
|La
|La
|Lu
|Lu/Tho
|To
|Tha
|Ta
|Ta
|Tu
|Tu/Do
|Do
|Da
|Da
|}
{| class="wikitable center-all"
|+'''circles of fifths'''
! colspan="8" |plain circle
| rowspan="3" |
! colspan="8" |up circle
| rowspan="3" |
! colspan="8" |down circle
|-
|-
!extras
|
|
|
|
|
|
|
|
|Po
|Fu
|So
|Shu
|
|
|
|
|
|
|
|
|}
{| class="wikitable  center-all"
|+
circle of fifths
!
!0
!0
!12
!11
!3
!3
!15
!14
!6
!6
!18
!17
!9
!9
!21
!1
!1
!13
!12
!4
!4
!16
!15
!7
!7
!19
!18
!10
!10
!1
!2
!2
!14
!13
!5
!5
!17
!16
!8
!8
!20
!19
!11
!2
|-
|-
!-a
|Da
|Da
|Sa
|Sa
Line 3,427: Line 3,262:
|Ma
|Ma
|Ta
|Ta
|Fa
|Pa
|Da
|
|Du
|
|Su
|
|Ru
|
|Lu
|
|Mu
|
|Tu
|
|Fu
|
|Du
|
|Do
|
|So
|
|Ro
|
|Lo
|
|Mo
|-
|To
!-o
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Fo
|Do
|Do
|}
|
==22edo==
|
{| class="wikitable center-all"
|
|+uniform solfege  (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
|
![[22edo]]
|
!0
|
!1
|
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
|-
!notes
!-u
|C
|
|Db
|
|^Db
|
|vD
|
|D
|
|Eb
|
|^Eb
|
|vE
|Du
|E
|Su
|F
|Ru
|^F/Gb
|Lu
|vF#/^Gb
|Mu
|F#/vG
|Tu
|G
|Pu
|Ab
|
|^Ab
|
|vA
|
|A
|
|Bb
|
|^Bb
|
|vB
|B
|C
|-
|-
!intervals
!-a
|P1
|
|m2
|
|^m2
|
|vM2
|
|M2
|
|m3
|
|^m3
|
|vM3
|
|M3
|
|P4
|
|^4/d5
|
|vA4/^d5
|
|A4/v5
|
|P5
|Sha
|m6
|Fra
|^m6
|Fla
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Da
|Du
Fra
|Fru
|Ro
|Ra
|Na
|Na
|Nu
|Tha
|Mo
|Ma
|Fa
|Fa
|Fu
Sha
|Po
Shu
|Pa
So
|Sa
|Fla
|Flu
|Lo
|La
|Tha
|Thu
|To
|Ta
Do
|Da
|Da
|-
|-
!extras
|Fro
|
|
|
|No
|Ru
|
|
|Fo
|Mu
Sho
|
|
|
|Pu
Flo
|Su
|
|
|Tho
|Lu
|
|
|
|Tu
|}
{| class="wikitable center-all"
|+'''circle of fifths'''
!
!
!0
! colspan="2" |perfect
!13
! colspan="4" |major
! colspan="8" |in-between
! colspan="4" |minor
! colspan="2" |perfect
|}
{| class="wikitable  center-all"
|+
Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
![[19edo]]
!0
!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
!20
!18
!11
!2
!15
!6
!19
!19
!10
!1
!14
!5
!18
!9
!22
|-
|-
!-a
!notes
|Da
|C
|Sa
|C#/Dbb
|Ra
|Db
|La
|D
|Ma
|D#/Ebb
|Ta
|Eb
|Pa
|E
|
|E#/Fb
|
|F
|
|F#
|
|Gb
|
|G
|
|G#/Abb
|
|Ab
|A
|A#/Bbb
|Bb
|B
|B#/Cb
|C
|-
!intervals
|P1
|A1/d2
|m2
|M2
|A2/d3
|m3
|M3
|A3/d4
|P4
|A4
|d5
|P5
|A5/d6
|m6
|M6
|A6/d7
|m7
|M7
|A7/d8
|P8
|-
!solfege
|Da
|Du
|Ro
|Ra
|Ru
|Mo
|Ma
|Mu
|Fa/Po
|Fu/Pa
|So
|Sa
|Su
|Lo
|La
|Lu
|To
|Ta
|Tu/Do
|Da
|-
!extras
|
|
|
|
Line 3,630: Line 3,449:
|
|
|
|
|Fo
|
|
|
|Sho
|-
|Pu
!-o
|Shu
|
|
|
|
|
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|
Line 3,657: Line 3,462:
|
|
|
|
|}
'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu/'''Do''' So Ro Lo Mo To Po/Fa '''Da'''
== 20edo ==
{| class="wikitable  center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[20edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
|-
|-
!-u
!cents
|
|0
|
|60
|
|120
|
|180
|
|240
|
|300
|
|360
|
|420
|
|480
|
|540
|
|600
|Shu
|660
|Fru
|720
|Flu
|780
|Nu
|840
|Thu
|900
|Fu
|960
|Du
|1020
|
|1080
|
|1140
|
|1200
|
|
|-
|-
!-a
!notes
|
|C
|
|^Db
|
|vvD
|
|vD
|
|D/Eb
|
|^Eb
|
|vvE
|
|vE
|
|F
|
|^F/^Gb
|
|^^F/vvG
|
|vF#/vG
|
|G
|
|^Ab
|
|vvA
|
|vA
|Sha
|A/Bb
|Fra
|^Bb
|Fla
|vvB
|Na
|vB
|Tha
|C
|Fa
|Da
|-
|-
!
!intervals
! colspan="2" |perfect
|P1
! colspan="4" |major
|^m2
|
|~2
! colspan="4" |downmajor
|vM2
|M2/m3
|^m3
|~3
|vM3
|P4
|^4/^d5
|~4/~5
|vA4/v5
|P5
|^m6
|~6
|vM6
|M6/m7
|^m7
|~7
|vM7
|P8
|-
!solfege
|Da
|Fru
|Ri
|Ro
|Ra/Na
|Nu
|Mi
|Mo
|Fa
|Fu/Shu
|Fi/Si
|Po/So
|Sa
|Flu
|Li
|Lo
|La/Tha
|Thu
|Ti
|To
|Da
|-
!extras
|
|
! colspan="4" |upminor
|Du
|
|
|
|
|
|
|Ma
|
|
|
|Fla
|
|
|
|
|
|
|Do
|
|
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege  (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo
|+
![[22edo]]
'''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
!0
!12
!4
!16
!8
!20
!1
!13
!5
!17
!9
!1
!1
!2
!2
!3
!14
!4
!5
!6
!6
!7
!18
!8
!9
!10
!10
!2
!2
!11
!11
!12
!5
!13
!14
!14
!15
!8
!16
!2
!17
!18
!19
!20
!21
!22
|-
|-
!notes
|Da
|C
|Sa
|^C/Db
|Ra
|^Db
|La
|vD
|
|D
|
|Eb
|Fru
|^Eb
|Flu
|vE
|Nu
|E
|Thu
|F
|Fu
|^F
|
|vF#/^Gb
|Ri
|vG
|Li
|G
|Mi
|Ab
|Ti
|^Ab
|Pi
|vA
|
|A
|Bb
|^Bb
|vB
|B/vC
|C
|-
!intervals
|P1
|^1/m2
|^m2
|vM2
|M2
|m3
|^m3
|vM3
|M3
|P4
|^4
|vA4/^d5
|v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7/v8
|P8
|-
!solfege
|Da
|Du/Ri
|Ru
|Ro
|Ro
|Ra
|Lo
|Mi
|Mu
|Mo
|Mo
|Ma
|To
|Po
|
|-
|
|
|Na
|Tha
|Fa
|Fa
|Fu
|Da
|Po/Shu
|So
|Sa
|Li
|Lu
|Lo
|La
|Ti
|Tu
|To
|Ta/Do
|Da
|}
{| class="wikitable center-all"
|+circle of 5ths (1 non-rhyming 5th, Ti-Fa)
!
!0
!13
!4
!17
!8
!21
!12
!3
!16
!7
!20
!11
!2
!15
!6
!19
!10
!1
!14
!5
!18
!9
!22
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|
|
|
|
|
|
|
|
|
|
|
|
|
|Shu
|Fru
|
|
|
|
|
|
|
|
|Si
|Ri
|
|
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|Do
|So
|So
|Ro
|Ro
|Lo
|}
|Mo
{| class="wikitable  center-all"
|To
|+
|Po
Kite's diatonic solfege (-i = minor, -u = upminor, -e = mid, -o = downmajor, -a = major), see 15edo, 22edo
|
![[20edo]]
|
!0
|
!1
|
!2
|
!3
|
!4
|
!5
|
!6
|
!7
|
!8
|
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
|-
|-
!-u
!notes
|
|C/Db
|
|^Db
|
|vvD
|
|vD
|
|D/Eb
|
|^Eb
|
|vvE
|
|vE
|
|E/F
|
|^F
|
|^^F/vvG
|Shu
|vG
|Ru
|G/Ab
|Lu
|^Ab
|Mu
|vvA
|Tu
|vA
|Fu
|A/Bb
|Du
|^Bb
|
|vvB
|
|vB
|
|B/C
|
|
|-
|-
!-i
!intervals
|
|P1/m2
|
|^m2
|
|~2
|
|vM2
|
|M2/m3
|
|^m3
|
|~3
|
|vM3
|
|M3/P4
|
|^4
|
|~4/~5
|
|v5
|
|P5/m6
|
|^m6
|
|~6
|
|vM6
|
|M6/m7
|Ri
|^m7
|Li
|~7
|Mi
|vM7
|Ti
|M7/P8
|
|
|-
|-
!-a
!solfege
|
|Da/Ri
|
|Ru
|
|Re
|
|Ro
|
|Ra/Mi
|
|Mu
|
|Me
|
|Mo
|
|Ma/Fa
|
|Fu
|
|Fe/Se
|
|So
|
|Sa/Li
|
|Lu
|
|Le
|
|Lo
|
|La/Ti
|
|Tu
|
|Te
|
|To
|
|Ta/Da
|Fa
|Da
|}
|}
{| class="wikitable center-all"
 
|+Andrew's BC solfege
== 21edo ==
![[22edo]]
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
![[21edo]]
!0
!0
!1
!1
Line 3,998: Line 3,816:
!20
!20
!21
!21
!22
|-
|-
!notes
!notes
|C
|C
|Db
|^C
|^Db
|vD
|vD
|D
|D
|Eb
|^D
|^Eb
|vE
|vE
|E
|E
|^E
|vF
|F
|F
|^F/Gb
|^F
|vF#/^Gb
|vG
|F#/vG
|G
|G
|Ab
|^G
|^Ab
|vA
|vA
|A
|A
|Bb
|^A
|^Bb
|vB
|vB
|B
|B
|^B
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|m2
|^1
|^m2
|v2
|vM2
|P2
|M2
|^2
|m3
|v3
|^m3
|P3
|vM3
|^3
|M3
|v4
|P4
|P4
|^4/d5
|^4
|vA4/^d5
|v5
|A4/v5
|P5
|P5
|m6
|^5
|^m6
|v6
|vM6
|P6
|M6
|^6
|m7
|v7
|^m7
|P7
|vM7
|^7
|M7
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Du
|Ro
|Ra
|Ra
|Ru
|Ru
|Re
|Mo
|Ma
|Ma
|Me
|Mu
|Mi
|Fo
|Mo
|Fa
|Fa
|Fu
|Fu
|Fi
|So
|Sa
|Su
|Su
|Sol
|Lo
|Lo
|Le
|La
|La
|Li
|Lu
|To
|Ta
|Ta
|Tu
|Tu
|Ti
|Do
|Da
|Da
|Do
|}
|}
==23edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
'''circles of fifths'''
![[23edo]]
! colspan="8" |plain circle
| rowspan="3" |
! colspan="8" |up circle
| rowspan="3" |
! colspan="8" |down circle
|-
!0
!0
!1
!12
!2
!3
!3
!4
!15
!6
!18
!9
!21
!1
!13
!4
!16
!7
!19
!10
!1
!2
!14
!5
!17
!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
!5
!6
!6
Line 4,102: Line 3,977:
!21
!21
!22
!22
!23
|-
|-
!notes
!notes
|C
|C
|Cb
|Db
|D#
|^Db
|vD
|D
|D
|Db
|Dbb
E#
|E
|Eb
|Eb
|Ebb
|^Eb
|F#
|vE
|E
|F
|F
|Fb
|^F/Gb
|G#
|vF#/^Gb
|F#/vG
|G
|G
|Gb
|Ab
|A#
|^Ab
|vA
|A
|A
|Ab
|Bb
|Abb
|^Bb
B#
|vB
|B
|B
|Bb
|Bbb
|C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1
|m2
|A2
|^m2
|vM2
|M2
|M2
|m2
|m3
|d2
|^m3
A3
|vM3
|M3
|M3
|m3
|d3
|A4
|P4
|P4
|d4
|^4/d5
|A5
|vA4/^d5
|A4/v5
|P5
|P5
|d5
|m6
|A6
|^m6
|vM6
|M6
|M6
|m6
|m7
|d6
|^m7
A7
|vM7
|M7
|M7
|m7
|d7
|A8
|P8
|P8
|-
|-
Line 4,163: Line 4,031:
|Da
|Da
|Du
|Du
Fra
|Fru
|Ro
|Ro
|Ra
|Ra
|Fra
|Fru
Mo
|Ma
|Na
|Na
|Nu
|Nu
|Fo
|Mo
Pa
|Ma
|Fa
|Fa
|Fu
|Fu
|So
 
Sha
|Po
 
Shu
|Pa
 
So
|Sa
|Sa
|Su
|Fla
Sha
|Flu
|Lo
|Lo
|La
|La
|Fla
|Flu
To
|Ta
|Tha
|Tha
|Thu
|Thu
|Do
|To
|Ta
 
Do
|Da
|Da
|-
|-
!extras
!extras
|Fro
|
|
|
|
|
|
|Fro
|No
|Ru
|Ru
|
|
|No
|
|Fo
|Mu
|Mu
Sho
|
|
|
|
|
|Pu
|Pu
Flo
|Su
|
|
|
|
|Sho
|Tho
|Lu
|
|
|
|
|Flo
|Lu
|
|
|Tho
|Tu
|Tu
|
|
|
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circle of fifths'''
|+
'''circle of fifths'''
!
!
!0
!0
!13
!13
!4
!17
!8
!21
!12
!3
!3
!16
!16
!7
!20
!11
!2
!15
!6
!6
!19
!19
!10
!1
!14
!5
!18
!9
!9
!22
!22
!12
|-
!2
!-a
!15
|Da
!5
!18
!8
!21
!11
!1
!14
!4
!17
!7
!20
!10
!23
|-
!-a
|Da
|Sa
|Sa
|Ra
|Ra
Line 4,252: Line 4,128:
|Ta
|Ta
|Pa
|Pa
|
|
|
|
|
Line 4,276: Line 4,151:
|
|
|
|
|
|Fo
|Do
|Do
|So
|So
Line 4,284: Line 4,157:
|Mo
|Mo
|To
|To
|Po
|
|
|
|
Line 4,308: Line 4,182:
|
|
|
|
|Shu
|Fru
|Fru
|Flu
|Flu
Line 4,314: Line 4,189:
|Fu
|Fu
|Du
|Du
|Su
|
|
|
|
|
Line 4,323: Line 4,196:
|-
|-
!-a
!-a
|
|
|
|
|
Line 4,347: Line 4,219:
|Fa
|Fa
|Da
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
|
! colspan="4" |downmajor
|
! colspan="4" |upminor
|
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
==24edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
|+
![[24edo]]
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 15edo
![[22edo]]
!0
!0
!1
!1
Line 4,375: Line 4,258:
!21
!21
!22
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
|^C/Db
vDb
|Db
|^Db
|^Db
vD
|vD
|D
|D
|^D
vEb
|Eb
|Eb
|^Eb
|^Eb
vE
|vE
|E
|E
|^E
vF
|F
|F
|^F
|^F
vF# vGb
|vF#/^Gb
|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/vC
|^B
|C
vC
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|^1/m2
vm2
|^m2
|m2
|vM2
|~2
|M2
|M2
|^M2
vm3
|m3
|m3
|~3
|^m3
|vM3
|M3
|M3
|^M3
v4
|P4
|P4
|~4
|^4
vd5
|vA4/^d5
|A4
|v5
d5
|~5
v5
|P5
|P5
|^5
vm6
|m6
|m6
|~6
|^m6
|vM6
|M6
|M6
|^M6
vm7
|m7
|m7
|~7
|^m7
|M7
|vM7
|^M7
|M7/v8
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du/Ri
Fro
|Ru
|Fra
|Ro
|Fru
Ro
|Ra
|Ra
|Ru
|Mi
No
|Mu
|Na
|Mo
|Nu
Mo
|Ma
|Ma
|Mu
Fo
|Fa
|Fa
|Fu
|Fu
Po
|Po/Shu
 
|So
Sho
|Pa
Sha
|Pu
Shu So
|Sa
|Sa
|Su
|Li
Flo
|Lu
|Fla
|Lo
|Flu
Lo
|La
|La
|Lu
|Ti
Tho
|Tha
|Thu
To
|Ta
|Tu
|Tu
Do
|To
|Ta/Do
|Da
|Da
|}
|}
Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
circle of 5ths (1 non-rhyming 5th, Ti-Fa)
circle
!
!
!0
!0
!14
!13
!4
!4
!18
!17
!8
!8
!22
!21
!12
!12
!3
!16
!7
!20
!11
!2
!2
!16
!15
!6
!6
!20
!19
!10
!10
!24
!1
!14
!5
!18
!9
!22
|-
|-
!-a
!-a
Line 4,523: Line 4,369:
|Ma
|Ma
|Ta
|Ta
|Pa
|
|
|
|
Line 4,530: Line 4,375:
|
|
|
|
|-
!-a
|
|
|
|
Line 4,538: Line 4,381:
|
|
|
|
|Sha
|
|Fra
|
|Fla
|
|Na
|
|Tha
|
|Fa
|Da
|-
|-
| colspan="15" |
!-o
|-
|
!
|
!
|
!1
|
!15
|
!5
|Do
!19
|So
!9
|Ro
!23
|Lo
!13
|Mo
!3
|To
!17
|Po
!7
!21
!11
!1
|-
! rowspan="2" |up
circle
!-u
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
Line 4,580: Line 4,406:
|
|
|
|
|-
!-u
|
|
|
|
Line 4,587: Line 4,411:
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
! rowspan="2" |down
!-u
circle
!-o
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|-
!-o
|
|
|
|
Line 4,624: Line 4,424:
|
|
|
|
|
|Shu
|Sho
|Ru
|Fro
|Lu
|Mu
|Tu
|Fu
|Du
|
|
|
|
|
|-
!-i
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Ri
|Li
|Mi
|Ti
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege #2 (-a = plain, -i = mid/down)
|+
![[24edo]]
Andrew's BC solfege
![[22edo]]
!0
!0
!1
!1
Line 4,654: Line 4,514:
!21
!21
!22
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|vDb
|Db
|Db
|^Db
|vD
|vD
|D
|D
|vEb
|Eb
|Eb
|^Eb
|vE
|vE
|E
|E
|vF
|F
|F
|vF#/vGb
|^F/Gb
|F#/Gb
|vF#/^Gb
|vG
|F#/vG
|G
|G
|vAb
|Ab
|Ab
|^Ab
|vA
|vA
|A
|A
|vBb
|Bb
|Bb
|^Bb
|vB
|vB
|B
|B
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|vm2
|m2
|m2
|~2
|^m2
|vM2
|M2
|M2
|vm3
|m3
|m3
|~3
|^m3
|vM3
|M3
|M3
|v4
|P4
|P4
|vA4/vd5
|^4/d5
|A4/d5
|vA4/^d5
|v5
|A4/v5
|P5
|P5
|vm6
|m6
|m6
|~6
|^m6
|vM6
|M6
|M6
|vm7
|m7
|m7
|~7
|^m7
|vM7
|M7
|M7
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Fri
|Di
|Fra
|Ri
|Ra
|Ra
|Ni
|Ru
|Na
|Re
|Ma
|Me
|Mi
|Mi
|Ma
|Mo
|Fa
|Fu
|Fi
|Fi
|Fa
|Su
|Pi/Shi
|Sol
|Pa/Sha
|Lo
|Si
|Le
|Sa
|La
|Fli
|Fla
|Li
|Li
|La
|Ta
|Thi
|Tu
|Tha
|Ti
|Ti
|Ta
|Di
|Da
|Da
|}plain/mid rings:
|Do
 
|}
Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da


Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
== 23edo ==
 
''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
|+
![[24edo]]
uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[23edo]]
!0
!0
!1
!1
Line 4,771: Line 4,620:
!22
!22
!23
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
|Cb
vDb
|D#
|D
|Db
|Db
|vD
|Dbb
|D
 
|^D
E#
vEb
|E
|Eb
|Eb
|vE
|Ebb
|E
|F#
|^E
vF
|F
|F
|^F
|Fb
vGb
|G#
|F#
Gb
|^F#
vG
|G
|G
|^G
|Gb
vAb
|A#
|A
|Ab
|Ab
|vA
|Abb
|A
 
|^A
B#
vBb
|B
|Bb
|Bb
|vB
|Bbb
|B
|C#
|^B
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|d1
vm2
|A2
|M2
|m2
|m2
|~2
|d2
|M2
 
|^M2
A3
vm3
|M3
|m3
|m3
|~3
|d3
|M3
|A4
|^M3
v4
|P4
|P4
|^4
|d4
vd5
|A5
|A4
d5
|^A4
v5
|P5
|P5
|^5
|d5
vm6
|A6
|M6
|m6
|m6
|~6
|d6
|M6
 
|^M6
A7
vm7
|M7
|m7
|m7
|~7
|d7
|M7
|A8
|^M7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Da
Ru
|Du
|Ro
|Ro
|Ra
|Ra
|Re
|Fra
|Ri
|Fru
Mu
 
|Mo
Mo
|Ma
|Ma
|Me
|Na
|Mi
|Nu
Fu
|Fo
|Fo
Pa
|Fa
|Fa
Su
|Fu
|Fe
|So
So
|Sa
|Fi
|Su
Sa
 
|Se
Sha
|Si
Lu
|Lo
|Lo
|La
|La
|Le
|Fla
|Li
|Flu
Tu
 
|To
To
|Ta
|Ta
|Te
|Tha
|Ti
|Thu
Du
|Do
|Do
|Da
|-
!extras
|
|
|
|Fro
|Ru
|
|No
|Mu
|
|
|Pu
|
|
|Sho
|
|
|Flo
|Lu
|
|Tho
|Tu
|
|
|
|}
|}
==25edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[25edo]]
'''circle of fifths'''
!edosteps
!
! colspan="2" |solfege names
!0
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!13
|-
!3
!unisons
!16
|0-1
!6
| colspan="2" |Da Du/Fru
!19
| colspan="2" |P1 ^1/^m2
!9
| colspan="2" |C ^C/^Db
!22
!12
!2
!15
!5
!18
!8
!21
!11
!1
!14
!4
!17
!7
!20
!10
!23
|-
|-
!2nds
!-a
|1-5
|Da
|Du/Fru Fri
|Sa
|Ri Ro Ra/Na
|Ra
|^1/^m2 v~2
|La
|^~2 vM2 M2/m3
|Ma
|^C/^Db ^^Db
|Ta
|vvD vD D/Eb
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!3rds
!-o
|5-9
|
|Ra/Na Nu Ni
|
|Mi Mo
|
|M2/m3 ^m3 v~3
|
|^~3 vM3
|
|D/Eb ^Eb ^^Eb
|
|vvE vE
|Fo
|-
|Do
!4ths
|So
|10
|Ro
| colspan="2" |Fa
|Lo
| colspan="2" |P4
|Mo
| colspan="2" |F
|To
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!tritones
!-u
|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
|
|
|
|
|
|
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|
|
|
|
|
|
|-
|-
!5ths
!-a
|15
|
| colspan="2" |Sa
|
| colspan="2" |P5
|
| colspan="2" |G
|
|-
|
!6ths
|
|16-20
|
|Flu Fli
|
|Li Lo La/Tha
|
|^m6 v~6
|
|^~6 vM6 M6/m7
|
|^Ab ^^Ab
|
|vvA vA A/Bb
|
|-
|
!7ths
|
|20-24
|
|La/Tha Thu Thi
|
|Ti To/Do
|Sha
|M6/m7
|Fra
|^~7 vM7/v8
|Fla
|A/Bb ^Bb ^^Bb
|Na
|vvB vB/vC
|Tha
|-
|Fa
!8ves
|Da
|24-25 (26)
| colspan="2" |To/Do Da (Du)
| colspan="2" |vM7/v8 P8 (^8)
| colspan="2" |vB/vC C (^C)
|}
|}
== 24edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Uniform solfege (-a = plain, -u = up, -o = down, -i = mid)  (duplicate names are '''bolded)'''
|+
![[25edo]]
uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
!edosteps
![[24edo]]
! colspan="2" |solfege names
!0
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!1
|-
!2
!unisons
!3
|0-'''1'''
!4
| colspan="2" |Da '''Du'''
!5
| colspan="2" |P1 '''^1'''
!6
| colspan="2" |C '''^C'''
!7
|-
!8
!2nds
!9
|'''1-5'''
!10
|'''Fru''' Fri
!11
|Ri Ro '''Ra'''
!12
|'''^m2''' v~2
!13
|^~2 vM2 '''M2'''
!14
|'''^Db''' ^^Db
!15
|vvD vD '''D'''
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
|-
!3rds
!notes
|'''5'''-9
|C
|'''Na''' Nu Ni
|^C
|Mi Mo
 
|'''m3''' ^m3 v~3
vDb
|^~3 vM3
|Db
|'''Eb''' ^Eb ^^Eb
|^Db
|vvE vE
 
|-
vD
!4ths
|D
|10
|^D
| colspan="2" |Fa
 
| colspan="2" |P4
vEb
| colspan="2" |F
|Eb
|-
|^Eb
!tritones
 
|11-14
vE
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
|E
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
|^E
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
 
|-
vF
!5ths
|F
|15
|^F
| colspan="2" |Sa
 
| colspan="2" |P5
vF# vGb
| colspan="2" |G
|F#
|-
 
!6ths
Gb
|16-'''20'''
|^F#
|Flu Fli
 
|Li Lo '''La'''
^Gb vG
|^m6 v~6
|G
|^~6 vM6 '''M6'''
|^G
|^Ab ^^Ab
|vvA vA '''A'''
|-
!7ths
|'''20-24'''
|'''Tha''' Thu Thi
|Ti '''To'''
|'''m7'''
|^~7 '''vM7'''
|'''Bb''' ^Bb ^^Bb
|vvB '''vB'''
|-
!8ves
|'''24'''-25 (26)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |'''vC''' C (^C)
|}plain ring: Da Sa Ra/Na La/Tha Fa Da


up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu
vAb
|Ab
|^Ab


downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
vA
|A
|^A


upmid ring: Pi/Si Ri Li Mi Ti Pi/Si
vBb
|Bb
|^Bb


down ring: Po/So Ro Lo Mo To/Do Po/So
vB
|B
|^B


{| class="wikitable center-all"
vC
|+'''circles of fifths'''
|C
!
! colspan="6" |plain circle
|-
|-
! rowspan="3" |plain
!intervals
|P1
|^1


circle
vm2
!0
|m2
!15
|~2
!5
|M2
!20
|^M2
!10
 
!25
vm3
|m3
|~3
|M3
|^M3
 
v4
|P4
|~4
 
vd5
|A4
 
d5
|~5
 
v5
|P5
|^5
 
vm6
|m6
|~6
|M6
|^M6
 
vm7
|m7
|~7
|M7
|^M7
 
v8
|P8
|-
|-
!solfege
|Da
|Da
|Sa
|Du
 
Fro
|Fra
|Fru
 
Ro
|Ra
|Ra
|La
|Ru
|
 
|
No
|-
|
|
|Na
|Na
|Tha
|Nu
 
Mo
|Ma
|Mu
 
Fo
|Fa
|Fa
|Da
|Fu
|-
 
| colspan="7" |
Po
|-
 
! rowspan="3" |up
Sho
|Pa
 
Sha
|Pu
 
Shu So
|Sa
|Su
 
Flo
|Fla
|Flu
 
Lo
|La
|Lu
 
Tho
|Tha
|Thu
 
To
|Ta
|Tu
 
Do
|Da
|}
Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain
 
circle
circle
!1
!
!0
!14
!4
!18
!8
!22
!12
!2
!16
!16
!6
!6
!21
!20
!11
!10
!1
!24
|-
|-
|Fru
!-a
|Flu
|Da
|Nu
|Sa
|Thu
|Ra
|Fu
|La
|Du
|Ma
|-
|Ta
|Du
|Pa
|
|
|
|
|
|
|Shu
|Fru
|-
| colspan="7" |
|-
! rowspan="3" |downmid
circle
!2
!17
!7
!22
!12
!2
|-
|Fri
|Fli
|Ni
|Thi
|Fi
|
|
|-
|
|
|
|
|-
!-a
|
|
|
|
|Shi
|Fri
|-
| colspan="7" |
|-
! rowspan="3" |upmid
circle
!3
!18
!8
!23
!13
!3
|-
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|-
|
|
|
|
|
|
|
|Sha
|Si
|Fra
|Ri
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
| colspan="7" |
| colspan="15" |
|-
|-
! rowspan="3" |down
!
circle
!
!4
!1
!15
!5
!19
!19
!9
!9
!24
!23
!14
!13
!4
!3
!17
!7
!21
!11
!1
|-
! rowspan="2" |up
 
circle
!-u
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
! rowspan="2" |down
circle
!-o
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Ro
|Lo
|Lo
Line 5,159: Line 5,180:
|
|
|-
|-
!-o
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|So
|Sho
|Ro
|Fro
|}
|}
==26edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
|+
![[26edo]]
uniform solfege #2 (-a = plain, -i = mid/down)
!edosteps
![[24edo]]
! colspan="2" |solfege
!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
|vDb
| colspan="2" |P1 A1
|Db
| colspan="2" |C C#
|vD
|D
|vEb
|Eb
|vE
|E
|vF
|F
|vF#/vGb
|F#/Gb
|vG
|G
|vAb
|Ab
|vA
|A
|vBb
|Bb
|vB
|B
|vC
|C
|-
|-
!2nds
!intervals
|2-5
|P1
|Fro Fra
|vm2
|Ra Ru
|m2
|d2 m2
|~2
|M2 A2
|M2
|Dbb Db
|vm3
|D D#
|m3
|~3
|M3
|v4
|P4
|vA4/vd5
|A4/d5
|v5
|P5
|vm6
|m6
|~6
|M6
|vm7
|m7
|~7
|M7
|v8
|P8
|-
|-
!3rds
!solfege
|6-9
|Da
|No Na
|Fri
|Ma Mu
|Fra
|d3 m3
|Ri
|M3 A3
|Ra
|Ebb Eb
|Ni
|E E#
|Na
|-
|Mi
!4ths
|Ma
|10-12
|Fi
| colspan="2" |Fo Fa Fu/Pa
|Fa
| colspan="2" |d4 P4 A4
|Pi/Shi
| colspan="2" |Fb F F#
|Pa/Sha
|-
|Si
!tritone
|Sa
|13
|Fli
| colspan="2" |Pu/Sho
|Fla
| colspan="2" |AA4/dd5
|Li
| colspan="2" |Fx/Gbb
|La
|Thi
|Tha
|Ti
|Ta
|Di
|Da
|}
plain/mid rings:
 
Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
 
Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
 
''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''
{| class="wikitable center-all"
|+
Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
![[24edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
|-
|-
!5ths
!notes
|14-16
|C
| colspan="2" |Sha/So Sa Su
|^C
| colspan="2" |d5 P5 A5
 
| colspan="2" |Gb G G#
vDb
|-
|Db
!6ths
|vD
|17-20
|D
|Flo Fla
|^D
|La Lu
 
|d6 m6
vEb
|M6 A6
|Eb
|Abb Ab
|vE
|A A#
|E
|-
|^E
!7ths
 
|21-24
vF
|Tho Tha
|F
|Ta Tu
|^F
|d7 m7
 
|M7 A7
vGb
|Bbb Bb
|F#
|B B#
 
Gb
|^F#
 
vG
|G
|^G
 
vAb
|Ab
|vA
|A
|^A
 
vBb
|Bb
|vB
|B
|^B
 
vC
|C
|-
|-
!8ves
!intervals
|25-26 (27)
|P1
| colspan="2" |Do Da (Du)
|^1
| colspan="2" |d8 P8 (A8)
 
| colspan="2" |Cb C (C#)
vm2
|}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'''
|m2
{| class="wikitable center-all"
|~2
|+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
|M2
![[26edo]]
|^M2
!edosteps
 
!Kite's
vm3
!Phylingual's
|m3
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|~3
|-
|M3
!unisons
|^M3
|0-1
 
|Da Du
v4
|Do Di
|P4
|P1 A1
|^4
|C C#
 
vd5
|A4
 
d5
|^A4
 
v5
|P5
|^5
 
vm6
|m6
|~6
|M6
|^M6
 
vm7
|m7
|~7
|M7
|^M7
 
v8
|P8
|-
|-
!2nds
!solfege
|2-5
|Do
|Ro Ri Ra Ru
|Da
|Rih Ru Re Ri
 
|d2 m2 M2 A2
Ru
|Dbb Db D D#
|Ro
|-
|Ra
!3rds
|Re
|6-9
|Ri
|Mo Mi Ma Mu
 
|Ma Me Muh/Mi Maa
Mu
|d3 m3 M3 A3
|Mo
|Ebb Eb E E#
|Ma
|-
|Me
!4ths
|Mi
|10-12
 
|Fo Fa Fu/Pa
Fu
|Fe Fa Fu
|Fo
|d4 P4 A4
|Fa
|Fb F F#
 
Su
|Fe
 
So
|Fi
 
Sa
|Se
|Si
 
Lu
|Lo
|La
|Le
|Li
 
Tu
|To
|Ta
|Te
|Ti
 
Du
|Do
|}
 
== 25edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[25edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!tritone
!unisons
|13
|0-1
|Pu/Sho
| colspan="2" |Da Du/Fru
|Fi/Se
| colspan="2" |P1 ^1/^m2
|AA4/dd5
| colspan="2" |C ^C/^Db
|Fx/Gbb
|-
|-
!5ths
!2nds
|14-16
|1-5
|Sha/So Sa Su
|Du/Fru Fri
|Su So Si
|Ri Ro Ra/Na
|d5 P5 A5
|^1/^m2 v~2
|Gb G G#
|^~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
|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
!6ths
|17-20
|16-20
|Lo Li La Lu
|Flu Fli
|Leh Le/Lu La Li
|Li Lo La/Tha
|d6 m6 M6 A6
|^m6 v~6
|Abb Ab A A#
|^~6 vM6 M6/m7
|^Ab ^^Ab
|vvA vA A/Bb
|-
|-
!7ths
!7ths
|21-24
|20-24
|To Ti Ta Tu
|La/Tha Thu Thi
|Ta Te Tu/Ti To
|Ti To/Do
|d7 m7 M7 A7
|M6/m7
|Bbb Bb B B#
|^~7 vM7/v8
|A/Bb ^Bb ^^Bb
|vvB vB/vC
|-
|-
!8ves
!8ves
|25-26 (27)
|24-25 (26)
|Do Da (Du)
| colspan="2" |To/Do Da (Du)
|Da Do (Di)
| colspan="2" |vM7/v8 P8 (^8)
|d8 P8 (A8)
| colspan="2" |vB/vC C (^C)
|Cb C (C#)
|}
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo '''Do''' <u>So Ri</u> Li Mi <u>Ti Fa</u> '''Da'''
 
== 27edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[27edo]]
Uniform solfege (-a = plain, -u = up, -o = down, -i = mid) (duplicate names are '''bolded)'''
![[25edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,321: Line 5,563:
|-
|-
!unisons
!unisons
|0-1
|0-'''1'''
| colspan="2" |Da Du/Fra
| colspan="2" |Da '''Du'''
| colspan="2" |P1 ^1/m2
| colspan="2" |P1 '''^1'''
| colspan="2" |C ^C/Db
| colspan="2" |C '''^C'''
|-
|-
!2nds
!2nds
|1-5
|'''1-5'''
|Du/Fra Fru
|'''Fru''' Fri
|Ri Ro Ra
|Ri Ro '''Ra'''
|^1/m2 ^m2
|'''^m2''' v~2
|~2 vM2 M2
|^~2 vM2 '''M2'''
|^C/Db ^Db
|'''^Db''' ^^Db
|vvD vD D
|vvD vD '''D'''
|-
|-
!3rds
!3rds
|6-10
|'''5'''-9
|Na Nu
|'''Na''' Nu Ni
|Mi Mo Ma
|Mi Mo
|m3 ^m3
|'''m3''' ^m3 v~3
|~3 vM3 M3
|^~3 vM3
|Eb ^Eb
|'''Eb''' ^Eb ^^Eb
|vvE vE E
|vvE vE
|-
|-
!4ths
!4ths
|11
|10
| colspan="2" |Fa
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |P4
Line 5,351: Line 5,593:
|-
|-
!tritones
!tritones
|12-15
|11-14
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
|-
!5ths
!5ths
|16
|15
| colspan="2" |Sa
| colspan="2" |Sa
| colspan="2" |P5
| colspan="2" |P5
Line 5,363: Line 5,605:
|-
|-
!6ths
!6ths
|17-21
|16-'''20'''
|Fla Flu
|Flu Fli
|Li Lo La
|Li Lo '''La'''
|m6 ^m6
|^m6 v~6
|~6 vM6 M6
|^~6 vM6 '''M6'''
|Ab ^Ab
|^Ab ^^Ab
|vvA vA A
|vvA vA '''A'''
|-
|-
!7ths
!7ths
|22-26
|'''20-24'''
|Tha Thu
|'''Tha''' Thu Thi
|Ti To Ta/Do
|Ti '''To'''
|m7 ^m7
|'''m7'''
|~7 vM7 M7/v8
|^~7 '''vM7'''
|Bb ^Bb
|'''Bb''' ^Bb ^^Bb
|vvB vB B/vC
|vvB '''vB'''
|-
|-
!8ves
!8ves
|26-27 (28)
|'''24'''-25 (26)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |B/vC C (^C)
| colspan="2" |'''vC''' C (^C)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
|}
plain ring: Da Sa Ra/Na La/Tha Fa Da
 
up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu
 
downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi
 
upmid ring: Pi/Si Ri Li Mi Ti Pi/Si


Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
down ring: Po/So Ro Lo Mo To/Do Po/So
==28edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
|+
![[28edo]]
'''circles of fifths'''
!edosteps
!
!solfege names
! colspan="6" |plain circle
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
! rowspan="3" |plain
|0-2
 
|Da Du Di/Re
circle
|P1 ^1 ^^1/vv2
!0
|C ^C ^^C/vvD
!15
!5
!20
!10
!25
|-
|-
!2nds
|Da
|2-6
|Sa
|Di/Re Ro Ra Ru Ri/Me
|Ra
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|La
|^^C/vvD vD D ^D ^^D/vvE
|
|
|-
|-
!3rds
|
|6-10
|
|Ri/Me Mo Ma Mu Mi/Fe
|Na
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|Tha
|^^D/vvE vE E ^E ^^E/vvF
|Fa
|-
!4ths
|10-14
|Mi/Fe Fo Fa Fu Fi/Se
|^^3/vv4 v4 P4 ^4 ^^4/vv5
|^^E/vvF vF F ^F ^^F/vvG
|-
!5ths
|14-18
|Fi/Se So Sa Su Si/Le
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|^^F/vvG vG G ^G ^^G/vvA
|-
!6ths
|18-22
|Si/Le Lo La Lu Li/Te
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|^^G/vvA vA A ^A ^^A/vvB
|-
!7ths
|22-26
|Li/Te To Ta Tu Ti/De
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|^^A/vvB vB B ^B ^^B/vvC
|-
!8ves
|26-28 (29 30)
|Ti/De Do Da (Du Di)
|^^7/vv8 v8 P8 (^8 ^^8)
|^^B/vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+'''circles of fifths'''
|-
! rowspan="2" |plain circle
!0
!16
!4
!20
!8
!24
!12
!28
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Fa
|Da
|Da
|-
|-
| colspan="9" |
| colspan="7" |
|-
|-
! rowspan="2" |up circle
! rowspan="3" |up
 
circle
!1
!1
!17
!16
!5
!6
!21
!21
!9
!11
!25
!13
!1
!1
|-
|-
|Du
|Fru
|Su
|Flu
|Ru
|Nu
|Lu
|Thu
|Mu
|Tu
|Fu
|Fu
|Du
|Du
|-
|-
| colspan="9" |
|Du
|
|
|
|Shu
|Fru
|-
|-
! rowspan="2" |down circle
| colspan="7" |
!27
!15
!3
!19
!7
!23
!11
!27
|-
|-
|Do
! rowspan="3" |downmid
|So
 
|Ro
circle
|Lo
|Mo
|To
|Fo
|Do
|-
| colspan="9" |
|-
! rowspan="3" |in-between circle
!2
!2
!18
!17
!6
!7
!22
!22
!10
!12
!26
!14
!2
!2
|-
|-
|Di
|Fri
|Si
|Fli
|Ri
|Ni
|Li
|Thi
|Mi
|Ti
|Fi
|Fi
|Di
|
|-
|-
|Re
|
|Le
|
|Me
|
|Te
|
|Fe
|Shi
|De
|Fri
|Se
|-
|Re
| colspan="7" |
|-
! rowspan="3" |upmid
 
circle
!3
!18
!8
!23
!13
!3
|-
|Ri
|Li
|Mi
|Ti
|Pi
|
|-
|
|
|
|
|Si
|Ri
|-
| colspan="7" |
|-
! rowspan="3" |down
 
circle
!4
!19
!9
!24
!14
!4
|-
|Ro
|Lo
|Mo
|To
|Po
|
|-
|
|
|
|
|So
|Ro
|}
|}
==29edo==
 
== 26edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
|+
![[29edo]]
uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
![[26edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du/Fro
| colspan="2" |Da Du
| colspan="2" |P1 ^1/vm2
| colspan="2" |P1 A1
| colspan="2" |C ^C/vDb
| colspan="2" |C C#
|-
|-
!2nds
!2nds
|1-6
|2-5
|Du/Fro Fra Fru
|Fro Fra
|Ro Ra Ru/No
|Ra Ru
|^1/vm2 m2 ^m2
|d2 m2
|vM2 M2 ^M2/vm3
|M2 A2
|^C/vDb Db ^Db
|Dbb Db
|vD D ^D/vEb
|D D#
|-
|-
!3rds
!3rds
|6-11
|6-9
|Ru/No Na Nu
|No Na
|Mo Ma Mu/Fo
|Ma Mu
|^M2/vm3 m3 ^m3
|d3 m3
|vM3 M3 ^M3/v4
|M3 A3
|^D/vEb Eb ^Eb
|Ebb Eb
|vE E ^E/vF
|E E#
|-
|-
!4ths
!4ths
|11-13
|10-12
| colspan="2" |Mu/Fo Fa Fu
| colspan="2" |Fo Fa Fu/Pa
| colspan="2" |^M3/v4 P4 ^4
| colspan="2" |d4 P4 A4
| colspan="2" |^E/vF F ^F
| colspan="2" |Fb F F#
|-
|-
!tritones
!tritone
|14-15
|13
| colspan="2" |Po/Sha Pa/Shu
| colspan="2" |Pu/Sho
| colspan="2" |vA4/d5 A4/^d5
| colspan="2" |AA4/dd5
| colspan="2" |vF#/Gb F#/^Gb
| colspan="2" |Fx/Gbb
|-
|-
!5ths
!5ths
|16-18
|14-16
| colspan="2" |So Sa Su/Flo
| colspan="2" |Sha/So Sa Su
| colspan="2" |v5 P5 ^5/vm6
| colspan="2" |d5 P5 A5
| colspan="2" |vG G ^G/vAb
| colspan="2" |Gb G G#
|-
|-
!6ths
!6ths
|18-23
|17-20
|Su/Flo Fla Flu
|Flo Fla
|Lo La Lu/Tho
|La Lu
|^5/vm6 m6 ^m6
|d6 m6
|vM6 M6 ^M6/vm7
|M6 A6
|^G/vAb Ab ^Ab
|Abb Ab
|vA A ^A/vBb
|A A#
|-
|-
!7ths
!7ths
|23-28
|21-24
|Lu/Tho Tha Thu
|Tho Tha
|To Ta Tu/Do
|Ta Tu
|^M6/vm7 m7 ^m7
|d7 m7
|vM7 M7 ^M7/v8
|M7 A7
|^A/vBb Bb ^Bb
|Bbb Bb
|vB B ^B/vC
|B B#
|-
|-
!8ves
!8ves
|28-29 (30)
|25-26 (27)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |d8 P8 (A8)
| colspan="2" |^B/vC C (^C)
| colspan="2" |Cb C (C#)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Phylingual's solfege
|+
![[29edo]]
Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
![[26edo]]
!edosteps
!edosteps
!solfege names
!Kite's
!Phylingual's
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-1
|0-1
|Da Du
|Do Di
|Do Di
|P1 ^1
|P1 A1
|C ^C
|C C#
|-
|-
!2nds
!2nds
|2-6
|2-5
|Rih Ra Ru Re Raw
|Ro Ri Ra Ru
|m2 ^m2 vM2 M2 ^M2
|Rih Ru Re Ri
|Db ^Db vD D ^D
|d2 m2 M2 A2
|Dbb Db D D#
|-
|-
!3rds
!3rds
|7-11
|6-9
|Meh Me Mi Maa Maw
|Mo Mi Ma Mu
|m3 ^m3 vM3 M3 ^M3
|Ma Me Muh/Mi Maa
|Eb ^Eb vE E ^E
|d3 m3 M3 A3
|Ebb Eb E E#
|-
|-
!4ths
!4ths
|12-14
|10-12
|Fa Fu Fi
|Fo Fa Fu/Pa
|P4 ^4 ^^4
|Fe Fa Fu
|F ^F ^^F
|d4 P4 A4
|Fb F F#
|-
!tritone
|13
|Pu/Sho
|Fi/Se
|AA4/dd5
|Fx/Gbb
|-
|-
!5ths
!5ths
|15-18
|14-16
|Se Su So Saw
|Sha/So Sa Su
|vv5 v5 P5 ^5
|Su So Si
|vvG vG G ^G
|d5 P5 A5
|Gb G G#
|-
|-
!6ths
!6ths
|19-23
|17-20
|Leh Le La Laa Law
|Lo Li La Lu
|m6 ^m6 vM6 M6 ^M6
|Leh Le/Lu La Li
|Ab ^Ab vA A ^A
|d6 m6 M6 A6
|Abb Ab A A#
|-
|-
!7ths
!7ths
|24-27
|21-24
|Teh Te Ti Taa
|To Ti Ta Tu
|m7 ^m7 vM7 M7
|Ta Te Tu/Ti To
|Bb ^Bb vB B
|d7 m7 M7 A7
|Bbb Bb B B#
|-
|-
!8ves
!8ves
|28-29 (30)
|25-26 (27)
|Do Da (Du)
|Da Do (Di)
|Da Do (Di)
|v8 P8 (^8)
|d8 P8 (A8)
|vC C (^C)
|Cb C (C#)
|}
|}
==31edo==
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo '''Do''' So Ri Li Mi Ti Fa '''Da'''
 
== 27edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+
![[31edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[27edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,677: Line 5,933:
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1
| colspan="2" |P1 ^1/m2
| colspan="2" |C ^C
| colspan="2" |C ^C/Db
|-
|-
!2nds
!2nds
|2-6
|1-5
|Fro Fra
|Du/Fra Fru
|Ro Ra Ru
|Ri Ro Ra
|vm2 m2
|^1/m2 ^m2
|~2 M2 ^M2
|~2 vM2 M2
|vDb Db
|^C/Db ^Db
|vD D ^D
|vvD vD D
|-
|-
!3rds
!3rds
|7-11
|6-10
|No Na
|Na Nu
|Mo Ma Mu
|Mi Mo Ma
|vm3 m3
|m3 ^m3
|~3 M3 ^M3
|~3 vM3 M3
|vEb Eb
|Eb ^Eb
|vE E ^E
|vvE vE E
|-
|-
!4ths
!4ths
|12-14
|11
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |Fa
| colspan="2" |v4 P4 ^4
| colspan="2" |P4
| colspan="2" |vF F ^F/vF#
| colspan="2" |F
|-
|-
!tritones
!tritones
|15-16
|12-15
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5
| colspan="2" |F#/vGb ^F#/Gb
| colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG
|-
|-
!5ths
!5ths
|17-19
|16
| colspan="2" |So Sa Su
| colspan="2" |Sa
| colspan="2" |v5 P5 ^5
| colspan="2" |P5
| colspan="2" |vG G ^G
| colspan="2" |G
|-
|-
!6ths
!6ths
|20-24
|17-21
|Flo Fla
|Fla Flu
|Lo La Lu
|Li Lo La
|vm6 m6
|m6 ^m6
|~6 M6 ^M6
|~6 vM6 M6
|vAb Ab
|Ab ^Ab
|vA A ^A
|vvA vA A
|-
|-
!7ths
!7ths
|25-29
|22-26
|Tho Tha
|Tha Thu
|To Ta Tu
|Ti To Ta/Do
|vm7 m7
|m7 ^m7
|~7 M7 ^M7
|~7 vM7 M7/v8
|vBb Bb
|Bb ^Bb
|vB B ^B
|vvB vB B/vC
|-
|-
!8ves
!8ves
|30-31 (32)
|26-27 (28)
| colspan="2" |Do Da (Du)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |B/vC C (^C)
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
 
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
 
== 28edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
|+
![[31edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
![[28edo]]
!edosteps
!solfege names
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!edosteps
|-
|-
!unisons
!unisons
|Do Da
|0-2
|P1 ^1
|Da Du Di/Re
|C ^C
|P1 ^1 ^^1/vv2
|0-1
|C ^C ^^C/vvD
|-
|-
!2nds
!2nds
|Ru Ro Ra Re Ri
|vm2 m2 ~2 M2 ^M2
|vDb Db vD D ^D
|2-6
|2-6
|Di/Re Ro Ra Ru Ri/Me
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|^^C/vvD vD D ^D ^^D/vvE
|-
|-
!3rds
!3rds
|Mu Mo Ma Me Mi
|6-10
|vm3 m3 ~3 M3 ^M3
|Ri/Me Mo Ma Mu Mi/Fe
|vEb Eb vE E ^E
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|7-11
|^^D/vvE vE E ^E ^^E/vvF
|-
|-
!4ths
!4ths
|Fu Fo Fa
|10-14
|v4 P4 ^4
|Mi/Fe Fo Fa Fu Fi/Se
|vF F ^F
|^^3/vv4 v4 P4 ^4 ^^4/vv5
|12-14
|^^E/vvF vF F ^F ^^F/vvG
|-
!tritones
|Fe/Su Fi/So
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
!5ths
|Sa Se Si
|14-18
|v5 P5 ^5
|Fi/Se So Sa Su Si/Le
|vG G ^G
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|17-19
|^^F/vvG vG G ^G ^^G/vvA
|-
|-
!6ths
!6ths
|Lu Lo La Le Li
|18-22
|vm6 m6 ~6 M6 ^M6
|Si/Le Lo La Lu Li/Te
|vAb Ab vA A ^A
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|20-24
|^^G/vvA vA A ^A ^^A/vvB
|-
|-
!7ths
!7ths
|Tu To Ta Te Ti
|22-26
|vm7 m7 ~7 M7 ^M7
|Li/Te To Ta Tu Ti/De
|vBb Bb vB B ^B
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|25-29
|^^A/vvB vB B ^B ^^B/vvC
|-
|-
!8ves
!8ves
|Du Do (Da)
|26-28 (29 30)
|v8 P8 (^8)
|Ti/De Do Da (Du Di)
|vC C (^C)
|^^7/vv8 v8 P8 (^8 ^^8)
|30-31 (32)
|^^B/vvC vC C (^C ^^C)
|}As a circle of 5ths:
|}
 
<u>'''Do''' Se</u> Re Le Me Te Fe/Su Ru Lu Mu Tu Fu <u>'''Du''' Sa</u> Ra La Ma Ta Fa <u>'''Da''' Si</u> Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
|+
![[31edo]]
'''circles of fifths'''
!solfege names
! rowspan="2" |plain circle
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!0
!edosteps
!16
!4
!20
!8
!24
!12
!28
|-
|-
!unisons
|Da
|Da Du
|Sa
|P1 ^1
|Ra
|C ^C
|La
|0-1
|Ma
|Ta
|Fa
|Da
|-
|-
!2nds
| colspan="9" |
|Ro Ri Re Ra Ru
|vm2 m2 ~2 M2 ^M2
|vDb Db vD D ^D
|2-6
|-
|-
!3rds
! rowspan="2" |up circle
|Mo Mi Me Ma Mu
!1
|vm3 m3 ~3 M3 ^M3
!17
|vEb Eb vE E ^E
!5
|7-11
!21
!9
!25
!13
!1
|-
|-
!4ths
|Du
|Fo Fi Fe
|Su
|v4 P4 ^4
|Ru
|vF F ^F
|Lu
|12-14
|Mu
|Tu
|Fu
|Du
|-
|-
!tritones
| colspan="9" |
|Fa/So Fu/Si
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
! rowspan="2" |down circle
|Se Sa Su
!27
|v5 P5 ^5
!15
|vG G ^G
!3
|17-19
!19
!7
!23
!11
!27
|-
|-
!6ths
|Do
|Lo Li Le La Lu
|So
|vm6 m6 ~6 M6 ^M6
|Ro
|vAb Ab vA A ^A
|Lo
|20-24
|Mo
|To
|Fo
|Do
|-
|-
!7ths
| colspan="9" |
|To Ti Te Ta Tu
|vm7 m7 ~7 M7 ^M7
|vBb Bb vB B ^B
|25-29
|-
|-
!8ves
! rowspan="3" |in-between circle
|De Da (Du)
!2
|v8 P8 (^8)
!18
|vC C (^C)
!6
|30-31 (32)
!22
|}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>
!10
{| class="wikitable center-all"
!26
|+Andrew's solfege
!14
![[31edo]]
!2
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
|Di
|0-1
|Si
|Do Di
|Ri
|P1 ^1
|Li
|C ^C
|Mi
|Ti
|Fi
|Di
|-
|-
!2nds
|Re
|2-6
|Le
|Ro Ra Ru Re Ri
|Me
|vm2 m2 ~2 M2 ^M2
|Te
|vDb Db vD D ^D
|Fe
|-
|De
!3rds
|Se
|7-11
|Re
|Ma Me Mu Mi Mo
|vm3 m3 ~3 M3 ^M3
|vEb Eb vE E ^E
|-
!4ths
|12-15
|Fe Fa Fu Fi
|v4 P4 ^4 A4
|vF F ^F F#
|-
!5ths
|16-19
|Se Su So (or Sol) Si
|d5 v5 P5 ^5
|Gb vG G ^G
|-
!6ths
|20-24
|Lo Le Lu La Li
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|-
!7ths
|25-29
|Ta Te Tu Ti To
|vm7 m7 ~7 M7 ^M7
|vBb Bb vB B ^B
|-
!8ves
|30-31 (32)
|Da Do (Di)
|v8 P8 (^8)
|vC C (^C)
|}
|}


== 32edo ==
== 29edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
|+
![[32edo]]
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 5,931: Line 6,164:
!unisons
!unisons
|0-1
|0-1
| colspan="2" |Da Du/Fra
| colspan="2" |Da Du/Fro
| colspan="2" |P1 ^1/m2
| colspan="2" |P1 ^1/vm2
| colspan="2" |C ^C/Db
| colspan="2" |C ^C/vDb
|-
|-
!2nds
!2nds
|1-6
|1-6
|Du/Fra Fru Fri
|Du/Fro Fra Fru
|Ri Ro Ra
|Ro Ra Ru/No
|^1/m2 ^m2 v~2
|^1/vm2 m2 ^m2
|^~2 vM2 M2
|vM2 M2 ^M2/vm3
|^C/Db ^Db ^^Db
|^C/vDb Db ^Db
|vvD vD D
|vD D ^D/vEb
|-
|-
!3rds
!3rds
|7-12
|6-11
|Na Nu Ni
|Ru/No Na Nu
|Mi Mo Ma
|Mo Ma Mu/Fo
|m3 ^m3 v~2
|^M2/vm3 m3 ^m3
|^~3 vM3 M3
|vM3 M3 ^M3/v4
|Eb ^Eb ^^Eb
|^D/vEb Eb ^Eb
|vvE vE E
|vE E ^E/vF
|-
|-
!4ths
!4ths
|13
|11-13
| colspan="2" |Fa
| colspan="2" |Mu/Fo Fa Fu
| colspan="2" |P4
| colspan="2" |^M3/v4 P4 ^4
| colspan="2" |F
| colspan="2" |^E/vF F ^F
|-
|-
!tritones
!tritones
|14-18
|14-15
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
| colspan="2" |Po/Sha Pa/Shu
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
| colspan="2" |vA4/d5 A4/^d5
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
| colspan="2" |vF#/Gb F#/^Gb
|-
|-
!5ths
!5ths
|19
|16-18
| colspan="2" |Sa
| colspan="2" |So Sa Su/Flo
| colspan="2" |P5
| colspan="2" |v5 P5 ^5/vm6
| colspan="2" |G
| colspan="2" |vG G ^G/vAb
|-
|-
!6ths
!6ths
|20-25
|18-23
|Fla Flu Fli
|Su/Flo Fla Flu
|Li Lo La
|Lo La Lu/Tho
|m6 ^m6 v~6
|^5/vm6 m6 ^m6
|^~6 vM6 M6
|vM6 M6 ^M6/vm7
|Ab ^Ab ^^Ab
|^G/vAb Ab ^Ab
|vvA vA A
|vA A ^A/vBb
|-
|-
!7ths
!7ths
|26-31
|23-28
|Tha Thu Thi
|Lu/Tho Tha Thu
|Ti To Ta/Do
|To Ta Tu/Do
|m7 ^m7 v~7
|^M6/vm7 m7 ^m7
|^~7 vM7 M7/v8
|vM7 M7 ^M7/v8
|Bb ^Bb ^^Bb
|^A/vBb Bb ^Bb
|vvB vB B/vC
|vB B ^B/vC
|-
|-
!8ves
!8ves
|31-32 (33)
|28-29 (30)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |B/vC C (^C)
| colspan="2" |^B/vC C (^C)
|}'''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Pi/ShiFri Fli Ni Thi Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
|}
 
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da'''
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
==33edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
|+
![[33edo]]
Phylingual's solfege
![[29edo]]
!edosteps
!edosteps
! colspan="2" |solfege
!solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
|0-2
|0-1
| colspan="2" |Da Du Di/Fre
|Do Di
| colspan="2" |P1 A1 AA1/dd2
|P1 ^1
| colspan="2" |C C# Cx
|C ^C
|-
|-
!2nds
!2nds
|2-7
|2-6
|Di/Fre Fro Fra
|Rih Ra Ru Re Raw
|Ra Ru Ri/Ne
|m2 ^m2 vM2 M2 ^M2
|AA1/dd2 d2 m2
|Db ^Db vD D ^D
|M2 A2 AA2/dd3
|Dbbb Dbb Db
|D D# Dx/Ebbb
|-
|-
!3rds
!3rds
|7-12
|7-11
|Ri/Ne No Na
|Meh Me Mi Maa Maw
|Ma Mu Mi/Fe
|m3 ^m3 vM3 M3 ^M3
|AA2/dd3 d3 m3
|Eb ^Eb vE E ^E
|M3 A3 AA3/dd4
|Dx/Ebbb Ebb Eb
|E E# Ex/Fbb
|-
|-
!4ths
!4ths
|12-15
|12-14
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
|Fa Fu Fi
| colspan="2" |AA3/dd4 d4 P4 A4
|P4 ^4 ^^4
| colspan="2" |Ex/Fbb Fb F F#
|F ^F ^^F
|-
!tritone
|16-17
| colspan="2" |Fi/Pu/She Pi/Sho/Se
| colspan="2" |AA4/ddd5 AAA4/dd5
| colspan="2" |Fx/Gbbb Fx#/Gbb
|-
|-
!5ths
!5ths
|18-21
|15-18
| colspan="2" |Sha/So Sa Su Si/Fle
|Se Su So Saw
| colspan="2" |d5 P5 A5 AA5/dd6
|vv5 v5 P5 ^5
| colspan="2" |Gb G G# Gx/Abbb
|vvG vG G ^G
|-
|-
!6ths
!6ths
|21-26
|19-23
|Si/Fle Flo Fla
|Leh Le La Laa Law
|La Lu Li/The
|m6 ^m6 vM6 M6 ^M6
|AA5/dd6 d6 m6
|Ab ^Ab vA A ^A
|M6 A6 AA6/dd7
|Gx/Abbb Abb Ab
|A A# Ax/Bbbb
|-
|-
!7ths
!7ths
|26-31
|24-27
|Li/The Tho Tha
|Teh Te Ti Taa
|Ta Tu Ti/De
|m7 ^m7 vM7 M7
|AA6/dd7 d7 m7
|Bb ^Bb vB B
|M7 A7 AA7/dd8
|Ax/Bbbb Bbb Bb
|B B# Bx/Cbb
|-
|-
!8ves
!8ves
|31-33 (34-35)
|28-29 (30)
| colspan="2" |Ti/De Do Da (Du Di)
|Da Do (Di)
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
|v8 P8 (^8)
| colspan="2" |Bx/Cbb Cb C (C# Cx)
|vC C (^C)
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
|}
==34edo==
 
== 31edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded
|+
![[34edo]]
uniform solfege (-a = plain, -u = up, -o = down)
![[31edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 6,080: Line 6,296:
|-
|-
!unisons
!unisons
|0-'''1'''
|0-1
| colspan="2" |Da '''Du=Fro'''
| colspan="2" |Da Du
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |P1 ^1
| colspan="2" |C '''^C=vDb'''
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|'''1-7'''
|2-6
|'''Fro''' Fra Fru
|Fro Fra
|Ri Ro Ra '''Ru=No'''
|Ro Ra Ru
|'''vm2''' m2 ^m2
|vm2 m2
|~2 vM2 M2 '''^M2=vm3'''
|~2 M2 ^M2
|'''vDb''' Db ^Db
|vDb Db
|vvD vD D '''^D=vEb'''
|vD D ^D
|-
|-
!3rds
!3rds
|'''7-13'''
|7-11
|'''No''' Na Nu
|No Na
|Mi Mo Ma '''Mu=Fo'''
|Mo Ma Mu
|'''vm3''' m3 ^m3
|vm3 m3
|~3 vM3 M3 '''^M3=v4'''
|~3 M3 ^M3
|'''vEb''' Eb ^Eb
|vEb Eb
|vvE vE E '''^E=vF'''
|vE E ^E
|-
|-
!4ths
!4ths
|'''13'''-15
|12-14
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |v4 P4 ^4
| colspan="2" |'''vF''' F ^F
| colspan="2" |vF F ^F/vF#
|-
|-
!tritones
!tritones
|16-18
|15-16
| colspan="2" |Fi/Sha Po/Shu Pa/Si
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |~4/d5 vA4/^d5 A4/~5
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
| colspan="2" |F#/vGb ^F#/Gb
|-
|-
!5ths
!5ths
|19-'''21'''
|17-19
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |v5 P5 ^5
| colspan="2" |vG G '''^G=vAb'''
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|'''21-27'''
|20-24
|'''Flo''' Fla Flu
|Flo Fla
|Li Lo La '''Lu=Tho'''
|Lo La Lu
|'''vm6''' m6 ^m6
|vm6 m6
|~6 vM6 M6 '''^M6=vm7'''
|~6 M6 ^M6
|'''vAb''' Ab ^Ab
|vAb Ab
|vvA vA A '''^A=vBb'''
|vA A ^A
|-
|-
!7ths
!7ths
|'''27-33'''
|25-29
|'''Tho''' Tha Thu
|Tho Tha
|Ti To Ta '''Tu=Do'''
|To Ta Tu
|'''vm7''' m7 ^m7
|vm7 m7
|~7 vM7 M7 '''^M7=v8'''
|~7 M7 ^M7
|'''vBb''' Bb ^Bb
|vBb Bb
|vvB vB B '''^B=vC'''
|vB B ^B
|-
|-
!8ves
!8ves
|'''33'''-34 (35)
|30-31 (32)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |Do Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |'''vC''' C (^C)
| colspan="2" |vC C (^C)
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+circles of fifths
|+
! rowspan="5" |plain/mid
Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
circle
![[31edo]]
!
!solfege names
!0
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!20
!edosteps
!6
!26
!12
!32
!18
!4
!24
!10
!30
!16
!2
!22
!8
!28
!14
!34
|-
|-
!-a
!unisons
|Da
|Do Da
|Sa
|P1 ^1
|Ra
|C ^C
|La
|0-1
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-i
!2nds
|
|Ru Ro Ra Re Ri
|
|vm2 m2 ~2 M2 ^M2
|
|vDb Db vD D ^D
|
|2-6
|
|
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|
|
|
|
|
|
|-
|-
!-a
!3rds
|
|Mu Mo Ma Me Mi
|
|vm3 m3 ~3 M3 ^M3
|
|vEb Eb vE E ^E
|
|7-11
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!
!4ths
! colspan="2" |perfect
|Fu Fo Fa
! colspan="4" |major
|v4 P4 ^4
! colspan="6" |mid
|vF F ^F
! colspan="4" |minor
|12-14
! colspan="2" |perfect
|-
|-
| colspan="20" |
!tritones
|Fe/Su Fi/So
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
! rowspan="6" |up/down
!5ths
circle
|Sa Se Si
!
|v5 P5 ^5
!17
|vG G ^G
!3
|17-19
!23
|-
!9
!6ths
!29
|Lu Lo La Le Li
!15
|vm6 m6 ~6 M6 ^M6
!1
|vAb Ab vA A ^A
!21
|20-24
!7
!27
!13
!33
!19
!5
!25
!11
!31
!17
|-
|-
!-o
!7ths
|Po
|Tu To Ta Te Ti
|
|vm7 m7 ~7 M7 ^M7
|
|vBb Bb vB B ^B
|
|25-29
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-u
!8ves
|Shu
|Du Do (Da)
|Fru
|v8 P8 (^8)
|Flu
|vC C (^C)
|Nu
|30-31 (32)
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
!-o
|
|
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|-
!-u
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Shu
|-
!
|
! colspan="4" |upminor
|
! colspan="6" |in-between
|
! colspan="4" |downmajor
|
|}
|}
==35edo==
As a circle of 5ths:
 
'''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'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|+
![[35edo]]
Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
!edosteps
![[31edo]]
!solfege names
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!edosteps
|-
|-
!unisons
!unisons
|0-2
|Da Du
|Da Du Di
|P1 ^1
|P1 ^1 ^^1
|C ^C
|C ^C ^^C
|0-1
|-
|-
!2nds
!2nds
|3-7
|Ro Ri Re Ra Ru
|Re Ro Ra Ru Ri
|vm2 m2 ~2 M2 ^M2
|vv2 v2 P2 ^2 ^^2
|vDb Db vD D ^D
|vvD vD D ^D ^^D
|2-6
|-
|-
!3rds
!3rds
|8-12
|Mo Mi Me Ma Mu
|Me Mo Ma Mu Mi
|vm3 m3 ~3 M3 ^M3
|vv3 v3 P3 ^3 ^^3
|vEb Eb vE E ^E
|vvE vE E ^E ^^E
|7-11
|-
|-
!4ths
!4ths
|13-17
|Fo Fi Fe
|Fe Fo Fa Fu Fi
|v4 P4 ^4
|vv4 v4 P4 ^4 ^^4
|vF F ^F
|vvF vF F ^F ^^F
|12-14
|-
!tritones
|Fa/So Fu/Si
|A4/vd5 ^A4/d5
|F#/vGb ^F#/Gb
|15-16
|-
|-
!5ths
!5ths
|18-22
|Se Sa Su
|Se So Sa Su Si
|v5 P5 ^5
|vv5 v5 P5 ^5 ^^5
|vG G ^G
|vvG vG G ^G ^^G
|17-19
|-
|-
!6ths
!6ths
|23-27
|Lo Li Le La Lu
|Le Lo La Lu Li
|vm6 m6 ~6 M6 ^M6
|vv6 v6 P6 ^6 ^^6
|vAb Ab vA A ^A
|vvA vA A ^A ^^A
|20-24
|-
|-
!7ths
!7ths
|28-32
|To Ti Te Ta Tu
|Te To Ta Tu Ti
|vm7 m7 ~7 M7 ^M7
|vv7 v7 P7 ^7 ^^7
|vBb Bb vB B ^B
|vvB vB B ^B ^^B
|25-29
|-
|-
!8ves
!8ves
|33-35 (36 37)
|De Da (Du)
|De Do Da (Du Di)
|v8 P8 (^8)
|vv8 v8 P8 (^8 ^^8)
|vC C (^C)
|vvC vC C (^C ^^C)
|30-31 (32)
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To Fo '''De''' Se Re Le Me Te Fe '''Du''' Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti Fi '''Da'''
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
Andrew's solfege
![[31edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
! rowspan="2" |plain circle
!unisons
!0
|0-1
!20
|Do Di
!5
|P1 ^1
!25
|C ^C
!10
!30
!15
!35
|-
|-
|Da
!2nds
|Sa
|2-6
|Ra
|Ro Ra Ru Re Ri
|La
|vm2 m2 ~2 M2 ^M2
|Ma
|vDb Db vD D ^D
|Ta
|Fa
|Da
|-
|-
| colspan="9" |
!3rds
|7-11
|Ma Me Mu Mi Mo
|vm3 m3 ~3 M3 ^M3
|vEb Eb vE E ^E
|-
|-
! rowspan="2" |up circle
!4ths
!1
|12-15
!21
|Fe Fa Fu Fi
!6
|v4 P4 ^4 A4
!26
|vF F ^F F#
!11
!31
!16
!1
|-
|-
|Du
!5ths
|Su
|16-19
|Ru
|Se Su So (or Sol) Si
|Lu
|d5 v5 P5 ^5
|Mu
|Gb vG G ^G
|Tu
|Fu
|Du
|-
|-
| colspan="9" |
!6ths
|20-24
|Lo Le Lu La Li
|vm6 m6 ~6 M6 ^M6
|vAb Ab vA A ^A
|-
|-
! rowspan="2" |dup circle
!7ths
!2
|25-29
!22
|Ta Te Tu Ti To
!7
|vm7 m7 ~7 M7 ^M7
!27
|vBb Bb vB B ^B
!12
!32
!17
!2
|-
|-
|Di
!8ves
|Si
|30-31 (32)
|Ri
|Da Do (Di)
|Li
|v8 P8 (^8)
|Mi
|vC C (^C)
|Ti
|}
|Fi
 
|Di
== 32edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[32edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
| colspan="9" |
!unisons
|0-1
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1/m2
| colspan="2" |C ^C/Db
|-
|-
! rowspan="2" |down circle
!2nds
!34
|1-6
!19
|Du/Fra Fru Fri
!4
|Ri Ro Ra
!24
|^1/m2 ^m2 v~2
!9
|^~2 vM2 M2
!29
|^C/Db ^Db ^^Db
!14
|vvD vD D
!34
|-
|-
|Do
!3rds
|So
|7-12
|Ro
|Na Nu Ni
|Lo
|Mi Mo Ma
|Mo
|m3 ^m3 v~2
|To
|^~3 vM3 M3
|Fo
|Eb ^Eb ^^Eb
|Do
|vvE vE E
|-
|-
| colspan="9" |
!4ths
|13
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |F
|-
|-
! rowspan="2" |dud circle
!tritones
!33
|14-18
!18
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So
!3
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5
!23
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
!8
!28
!13
!33
|-
|-
|De
!5ths
|Se
|19
|Re
| colspan="2" |Sa
|Le
| colspan="2" |P5
|Me
| colspan="2" |G
|Te
|Fe
|De
|}
==36edo==
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
![[36edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!6ths
|0-1
|20-25
| colspan="2" |Da Du
|Fla Flu Fli
| colspan="2" |P1 ^1
|Li Lo La
| colspan="2" |C ^C
|m6 ^m6 v~6
|^~6 vM6 M6
|Ab ^Ab ^^Ab
|vvA vA A
|-
!7ths
|26-31
|Tha Thu Thi
|Ti To Ta/Do
|m7 ^m7 v~7
|^~7 vM7 M7/v8
|Bb ^Bb ^^Bb
|vvB vB B/vC
|-
!8ves
|31-32 (33)
| 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 Pi/ShiFri Fli Ni Thi Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da'''
 
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.
 
== 33edo ==
{| class="wikitable center-all"
|+
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
|-
!unisons
|0-2
| colspan="2" |Da Du Di/Fre
| colspan="2" |P1 A1 AA1/dd2
| colspan="2" |C C# Cx
|-
|-
!2nds
!2nds
|2-7
|2-7
|Fro Fra Fru
|Di/Fre Fro Fra
|Ro Ra Ru
|Ra Ru Ri/Ne
|vm2 m2 ^m2
|AA1/dd2 d2 m2
|vM2 M2 ^M2
|M2 A2 AA2/dd3
|vDb Db ^Db
|Dbbb Dbb Db
|vD D ^D
|D D# Dx/Ebbb
|-
|-
!3rds
!3rds
|8-13
|7-12
|No Na Nu
|Ri/Ne No Na
|Mo Ma Mu
|Ma Mu Mi/Fe
|vm3 m3 ^m3
|AA2/dd3 d3 m3
|vM3 M3 ^M3
|M3 A3 AA3/dd4
|vEb Eb ^Eb
|Dx/Ebbb Ebb Eb
|vE E ^E
|E E# Ex/Fbb
|-
|-
!4ths
!4ths
|14-16
|12-15
| colspan="2" |Fo Fa Fu
| colspan="2" |Mi/Fe Fo Fa Fu/Pa
| colspan="2" |v4 P4 ^4
| colspan="2" |AA3/dd4 d4 P4 A4
| colspan="2" |vF F ^F
| colspan="2" |Ex/Fbb Fb F F#
|-
|-
!tritones
!tritone
|17-19
|16-17
| colspan="2" |Po/Sho Pa/Sha Pu/Shu
| colspan="2" |Fi/Pu/She Pi/Sho/Se
| colspan="2" |vA4/vd5 A4/d5 ^A4/^d5
| colspan="2" |AA4/ddd5 AAA4/dd5
| colspan="2" |vF#/vGb F#/Gb ^F#/^Gb
| colspan="2" |Fx/Gbbb Fx#/Gbb
|-
|-
!5ths
!5ths
|20-22
|18-21
| colspan="2" |So Sa Su
| colspan="2" |Sha/So Sa Su Si/Fle
| colspan="2" |v5 P5 ^5
| colspan="2" |d5 P5 A5 AA5/dd6
| colspan="2" |vG G ^G
| colspan="2" |Gb G G# Gx/Abbb
|-
|-
!6ths
!6ths
|23-28
|21-26
|Flo Fla Flu
|Si/Fle Flo Fla
|Lo La Lu
|La Lu Li/The
|vm6 m6 ^m6
|AA5/dd6 d6 m6
|vM6 M6 ^M6
|M6 A6 AA6/dd7
|vAb Ab ^Ab
|Gx/Abbb Abb Ab
|vA A ^A
|A A# Ax/Bbbb
|-
|-
!7ths
!7ths
|29-34
|26-31
|Tho Tha Thu
|Li/The Tho Tha
|To Ta Tu
|Ta Tu Ti/De
|vm7 m7 ^m7
|AA6/dd7 d7 m7
|vM7 M7 ^M7
|M7 A7 AA7/dd8
|vBb Bb ^Bb
|Ax/Bbbb Bbb Bb
|vB B ^B
|B B# Bx/Cbb
|-
|-
!8ves
!8ves
|35-36 (37)
|31-33 (34-35)
| colspan="2" |Do Da (Du)
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |v8 P8 (^8)
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8)
| colspan="2" |vC C (^C)
| colspan="2" |Bx/Cbb Cb C (C# Cx)
|}
|}
'''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 ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''circles of fifths'''
|+
! rowspan="3" |plain
uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded
circle
![[34edo]]
!0
!edosteps
!21
! colspan="2" |solfege names
!6
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!27
|-
!12
!unisons
!33
|0-'''1'''
!18
| colspan="2" |Da '''Du=Fro'''
!3
| colspan="2" |P1 '''^1=vm2'''
!24
| colspan="2" |C '''^C=vDb'''
!9
!30
!15
!36
|-
|-
|Da
!2nds
|Sa
|'''1-7'''
|Ra
|'''Fro''' Fra Fru
|La
|Ri Ro Ra '''Ru=No'''
|Ma
|'''vm2''' m2 ^m2
|Ta
|~2 vM2 M2 '''^M2=vm3'''
|Pa
|'''vDb''' Db ^Db
|
|vvD vD D '''^D=vEb'''
|
|
|
|
|
|-
|-
|
!3rds
|
|'''7-13'''
|
|'''No''' Na Nu
|
|Mi Mo Ma '''Mu=Fo'''
|
|'''vm3''' m3 ^m3
|
|~3 vM3 M3 '''^M3=v4'''
|Sha
|'''vEb''' Eb ^Eb
|Fra
|vvE vE E '''^E=vF'''
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
| colspan="14" |
!4ths
|'''13'''-15
| colspan="2" |'''Fo''' Fa Fu
| colspan="2" |'''v4''' P4 ^4
| colspan="2" |'''vF''' F ^F
|-
|-
! rowspan="3" |up
!tritones
circle
|16-18
!1
| colspan="2" |Fi/Sha Po/Shu Pa/Si
!22
| colspan="2" |~4/d5 vA4/^d5 A4/~5
!7
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG
!28
!13
!34
!19
!4
!25
!10
!31
!16
!1
|-
|-
|Du
!5ths
|Su
|19-'''21'''
|Ru
| colspan="2" |So Sa '''Su=Flo'''
|Lu
| colspan="2" |v5 P5 '''^5=vm6'''
|Mu
| colspan="2" |vG G '''^G=vAb'''
|Tu
|Pu
|
|
|
|
|
|
|-
|-
|
!6ths
|
|'''21-27'''
|
|'''Flo''' Fla Flu
|
|Li Lo La '''Lu=Tho'''
|
|'''vm6''' m6 ^m6
|
|~6 vM6 M6 '''^M6=vm7'''
|Shu
|'''vAb''' Ab ^Ab
|Fru
|vvA vA A '''^A=vBb'''
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
| colspan="14" |
!7ths
|'''27-33'''
|'''Tho''' Tha Thu
|Ti To Ta '''Tu=Do'''
|'''vm7''' m7 ^m7
|~7 vM7 M7 '''^M7=v8'''
|'''vBb''' Bb ^Bb
|vvB vB B '''^B=vC'''
|-
|-
! rowspan="3" |down
!8ves
|'''33'''-34 (35)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |'''vC''' C (^C)
|}
{| class="wikitable center-all"
|+
circles of fifths
! rowspan="5" |plain/mid
 
circle
circle
!35
!
!0
!20
!20
!5
!6
!26
!26
!11
!12
!32
!32
!17
!18
!4
!24
!10
!30
!16
!2
!2
!23
!22
!8
!8
!29
!28
!14
!14
!35
!34
|-
|-
|Do
!-a
|So
|Da
|Ro
|Sa
|Lo
|Ra
|Mo
|La
|To
|Ma
|Po
|Ta
|Pa
|
|
|
|
|
|
|
|
|
Line 6,709: Line 6,824:
|
|
|-
|-
!-i
|
|
|
|
|
|
|Si
|Ri
|Li
|Mi
|Ti
|Fi
|
|
|
|
Line 6,715: Line 6,843:
|
|
|
|
|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
!-a
|0-2
|
| colspan="2" |Da Du Di/Fre
|
| colspan="2" |P1 ^1 ^^1/vvm2
|
| colspan="2" |C ^C ^^C/vvDb
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!2nds
!
|2-8
! colspan="2" |perfect
|Di/Fre Fro Fra
! colspan="4" |major
|Ro Ra Ru Ri/Ne
! colspan="6" |mid
|^^1/vvm2 vm2 m2
! colspan="4" |minor
|~2 M2 ^M2 ^^M2/vvm3
! colspan="2" |perfect
|^^C/vvDb vDb Db
|vD D ^D ^^D/vvEb
|-
|-
!3rds
| colspan="20" |
|8-14
|Ri/Ne No Na
|Mo Ma Mu Mi/Fe
|^^M2/vvm3 vm3 m3
|~3 M3 ^M3 ^^M3/vv4
|^^D/vvEb vEb Eb
|vE E ^E ^^E/vvF
|-
|-
!4ths
! rowspan="6" |up/down
|14-17
 
| colspan="2" |Mi/Fe Fo Fa Fu/Po
circle
| colspan="2" |^^M3/vv4 v4 P4 ~4
!
| colspan="2" |^^E/vvF vF F ^F
!17
|-
!3
!tritones
!23
|18-20
!9
| colspan="2" |Pa/She Pu/Sho Pi/Sha
!29
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5
!15
| colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb
!1
!21
!7
!27
!13
!33
!19
!5
!25
!11
!31
!17
|-
|-
!5ths
!-o
|21-24
|Po
| colspan="2" |So Sa Su Si/Fle
|
| colspan="2" |~5 P5 ^5 ^^5/vvm6
|
| colspan="2" |vG G ^G ^^G/vvAb
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!6ths
!-u
|24-30
|Shu
|Si/Fle Flo Fla
|Fru
|Lo La Lu Li/The
|Flu
|^^5/vvm6 vm6 m6
|Nu
|~6 M6 ^M6 ^^M6/vvm7
|Thu
|^^G/vvAb vAb Ab
|Fu
|vA A ^A ^^A/vvBb
|Du
|-
|Su
!7ths
|Ru
|30-36
|Lu
|Li/The Tho Tha
|Mu
|To Ta Tu Ti/De
|Tu
|^^M6/vvm7 vm7 m7
|~7 M7 ^M7 ^^M7/vv8
|^^A/vvBb vBb Bb
|vB B ^B ^^B/vvC
|-
!8ves
|36-38
| colspan="2" |Ti/De Do Da (Du Di)
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8)
| colspan="2" |^^B/vvC vC C (^C ^^C)
|}
{| class="wikitable center-all"
|+circles of fifths
! rowspan="6" |plain/
dup/
 
dud
 
circle
!
!0
!22
!6
!28
!12
!34
!18
!2
!24
!8
!30
!14
!36
!20
!4
!26
!10
!32
!16
!38
|-
!-a
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
Line 6,842: Line 6,935:
|
|
|
|
|-
!-o
|
|
|
|
Line 6,848: Line 6,943:
|
|
|
|
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|-
!-u
|
|
|-
!-e
|
|
|
|
Line 6,857: Line 6,964:
|
|
|
|
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|
|
|
|
|
|
|
|
|
|
|
|-
!-i
|
|
|
|
|
|
|
|Di
|Si
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
Line 6,893: Line 6,974:
|
|
|
|
|Shu
|-
|-
!-a
!
|
|
! colspan="4" |upminor
|
|
! colspan="6" |in-between
|
|
! colspan="4" |downmajor
|
|
|
|}
|
 
|
== 35edo ==
|
{| class="wikitable center-all"
|
|+
|
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|
![[35edo]]
|
!edosteps
|
!solfege names
|Sha
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!
!unisons
! colspan="2" |perfect
|0-2
! colspan="4" |major
|Da Du Di
! colspan="8" |in-between
|P1 ^1 ^^1
! colspan="4" |minor
|C ^C ^^C
! colspan="2" |perfect
|-
|-
| colspan="22" |
!2nds
|3-7
|Re Ro Ra Ru Ri
|vv2 v2 P2 ^2 ^^2
|vvD vD D ^D ^^D
|-
|-
! rowspan="5" |up/
!3rds
down
|8-12
 
|Me Mo Ma Mu Mi
circle
|vv3 v3 P3 ^3 ^^3
!
|vvE vE E ^E ^^E
!1
!23
!7
!29
!13
!35
!19
!3
!25
!9
!31
!15
!37
!21
!5
!27
!11
!33
!17
!1
|-
|-
!-u
!4ths
|Du
|13-17
|Su
|Fe Fo Fa Fu Fi
|Ru
|vv4 v4 P4 ^4 ^^4
|Lu
|vvF vF F ^F ^^F
|Mu
|Tu
|Pu
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!-o
!5ths
|
|18-22
|
|Se So Sa Su Si
|
|vv5 v5 P5 ^5 ^^5
|
|vvG vG G ^G ^^G
|
|-
|
!6ths
|Sho
|23-27
|Fro
|Le Lo La Lu Li
|Flo
|vv6 v6 P6 ^6 ^^6
|No
|vvA vA A ^A ^^A
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!-u
!7ths
|
|28-32
|
|Te To Ta Tu Ti
|
|vv7 v7 P7 ^7 ^^7
|
|vvB vB B ^B ^^B
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Fu
|Du
|-
|-
!
!8ves
! colspan="2" |upperfect
|33-35 (36 37)
! colspan="4" |upmajor
|De Do Da (Du Di)
!
|vv8 v8 P8 (^8 ^^8)
! colspan="4" |downminor
|vvC vC C (^C ^^C)
! colspan="3" |downperfect
! colspan="4" |mid
! colspan="2" |upperfect
|}
|}
 
{| class="wikitable center-all"
== 39edo ==
|+
Could use only 4 vowels by replacing -e with -i.
'''circles of fifths'''
{| class="wikitable center-all"
! rowspan="2" |plain circle
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) in-between notes are bolded
!0
![[39edo]]
!20
!edosteps
!5
! colspan="2" |solfege names
!25
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!10
!30
!15
!35
|-
|-
!unisons
|Da
|0-'''1'''
|Sa
| colspan="2" |Da '''Du=Fro'''
|Ra
| colspan="2" |P1 '''^1=vm2'''
|La
| colspan="2" |C '''^C=vDb'''
|Ma
|Ta
|Fa
|Da
|-
|-
!2nds
| colspan="9" |
|'''1-8'''
|'''Fro''' Fra Fru Fri
|Re Ro Ra '''Ru=No'''
|'''vm2''' m2 ^m2 v~2
|^~2 vM2 M2 '''^M2=vm3'''
|'''vDb''' Db ^Db ^^Db
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
! rowspan="2" |up circle
|'''8-15'''
!1
|'''No''' Na Nu Ni
!21
|Me Mo Ma '''Mu=Fo'''
!6
|'''vm3''' m3 ^m3 v~3
!26
|^~3 vM3 M3 '''^M3=v4'''
!11
|'''vEb''' Eb ^Eb ^^Eb
!31
|vvE vE E '''^E=vF'''
!16
!1
|-
|-
!4ths
|Du
|'''15'''-17
|Su
| colspan="2" |'''Fo''' Fa Fu
|Ru
| colspan="2" |'''v4''' P4 ^4
|Lu
| colspan="2" |'''vF''' F ^F
|Mu
|Tu
|Fu
|Du
|-
|-
!tritones
| colspan="9" |
|18-21
|-
| colspan="2" |Fi/Sha Pe/Shu Po/Shi Pa/Se
! rowspan="2" |dup circle
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5
!2
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
!22
!7
!27
!12
!32
!17
!2
|-
|-
!5ths
|Di
|22-'''24'''
|Si
| colspan="2" |So Sa '''Su=Flo'''
|Ri
| colspan="2" |v5 P5 '''^5=vm6'''
|Li
| colspan="2" |vG G ^G='''vAb'''
|Mi
|Ti
|Fi
|Di
|-
|-
!6ths
| colspan="9" |
|'''24-31'''
|'''Flo''' Fla Flu Fli
|Le Lo La '''Lu=Tho'''
|'''vm6''' m6 ^m6 v~6
|^~6 vM6 M6 '''^M6=vm7'''
|'''vAb''' Ab ^Ab ^^Ab
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
! rowspan="2" |down circle
|'''31-38'''
!34
|'''Tho''' Tha Thu Thi
!19
|Te To Ta '''Tu=Do'''
!4
|'''vm7''' m7 ^m7 v~7
!24
|^~7 vM7 M7 '''^M7=v8'''
!9
|'''vBb''' Bb ^Bb ^^Bb
!29
|vvB vB B '''^B=vC'''
!14
!34
|-
|-
!8ves
|Do
|'''38'''-39 (40)
|So
| colspan="2" |'''Do''' Da (Du)
|Ro
| colspan="2" |'''v8''' P8 (^8)
|Lo
| colspan="2" |'''vC''' C (^C)
|Mo
|}
|To
'''Da''' Sa Ra La Ma Ta Pa/Se Re Le Me Te Pe/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa '''Da'''
|Fo
 
|Do
==40edo==
|-
{| class="wikitable center-all"
| colspan="9" |
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
|-
![[40edo]]
! rowspan="2" |dud circle
!33
!18
!3
!23
!8
!28
!13
!33
|-
|De
|Se
|Re
|Le
|Me
|Te
|Fe
|De
|}
 
== 36edo ==
{| class="wikitable center-all"
|+
uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
![[36edo]]
!edosteps
!edosteps
! colspan="2" |solfege
! colspan="2" |solfege 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 A1 AA1
| colspan="2" |P1 ^1
| colspan="2" |C C# Cx
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
|3-8
|2-7
|Fre Fro Fra
|Fro Fra Fru
|Ra Ru Ri
|Ro Ra Ru
|dd2 d2 m2
|vm2 m2 ^m2
|M2 A2 AA2
|vM2 M2 ^M2
|Dbbb Dbb Db
|vDb Db ^Db
|D D# Dx
|vD D ^D
|-
|-
!3rds
!3rds
|9-14
|8-13
|Ne No Na
|No Na Nu
|Ma Mu Mi
|Mo Ma Mu
|dd3 d3 m3
|vm3 m3 ^m3
|M3 A3 AA3
|vM3 M3 ^M3
|Ebbb Ebb Eb
|vEb Eb ^Eb
|E E# Ex
|vE E ^E
|-
|-
!4ths
!4ths
|15-18
|14-16
| colspan="2" |Fe Fo Fa Fu/Pa
| colspan="2" |Fo Fa Fu
| colspan="2" |dd4 d4 P4 A4
| colspan="2" |v4 P4 ^4
| colspan="2" |Fbb Fb F F#
| colspan="2" |vF F ^F
|-
|-
!tritone
!tritones
|19-21
|17-19
| colspan="2" |Fi/Pu Pi/She Sho/Se
| colspan="2" |Po/Sho Pa/Sha Pu/Shu
| colspan="2" |AA4 AAA4/ddd5 dd5
| colspan="2" |vA4/vd5 A4/d5 ^A4/^d5
| colspan="2" |Fx Fx#/Gbbb Gbb
| colspan="2" |vF#/vGb F#/Gb ^F#/^Gb
|-
|-
!5ths
!5ths
|22-25
|20-22
| colspan="2" |Sha/So Sa Su Si
| colspan="2" |So Sa Su
| colspan="2" |d5 P5 A5 AA5
| colspan="2" |v5 P5 ^5
| colspan="2" |Gb G G# Gx
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
|26-31
|23-28
|Fle Flo Fla
|Flo Fla Flu
|La Lu Li
|Lo La Lu
|dd6 d6 m6
|vm6 m6 ^m6
|M6 A6 AA6
|vM6 M6 ^M6
|Abbb Abb Ab
|vAb Ab ^Ab
|A A# Ax
|vA A ^A
|-
|-
!7ths
!7ths
|32-37
|29-34
|The Tho Tha
|Tho Tha Thu
|Ta Tu Ti
|To Ta Tu
|dd7 d7 m7
|vm7 m7 ^m7
|M7 A7 AA7
|vM7 M7 ^M7
|Bbbb Bbb Bb
|vBb Bb ^Bb
|B B# Bx
|vB B ^B
|-
|-
!8ves
!8ves
|38-40 (41-42)
|35-36 (37)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |Do Da (Du)
| colspan="2" |dd8 d8 P8 (A8 AA8)
| colspan="2" |v8 P8 (^8)
| colspan="2" |Cbb Cb C (C# Cx)
| colspan="2" |vC C (^C)
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi '''Di''' Si Ri Li Mi Ti Pi/She Fre Fle Ne The Fe '''De''' Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da'''
|}
==41edo==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
|+
![[41edo]]
'''circles of fifths'''
!edosteps
! rowspan="3" |plain
! colspan="2" |Da Ra Mo names
 
! colspan="4" |[[Ups and downs notation|ups and downs]] names
circle
!0
!21
!6
!27
!12
!33
!18
!3
!24
!9
!30
!15
!36
|-
|Da
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
!unisons
|
|0-1
|
| colspan="2" |Da Du
|
| colspan="2" |P1 ^1
|
| colspan="2" |C ^C
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!2nds
| colspan="14" |
|2-8
|Fro Fra Fru
|Ri Ro Ra Ru
|vm2 m2 ^m2
|~2 vM2 M2 ^M2
|vDb Db ^Db
|vvD vD D ^D
|-
|-
!3rds
! rowspan="3" |up
|9-15
 
|No Na Nu
circle
|Mi Mo Ma Mu
!1
|vm3 m3 ^m3
!22
|~3 vM3 M3 ^M3
!7
|vEb Eb ^Eb
!28
|vvE vE E ^E
!13
!34
!19
!4
!25
!10
!31
!16
!1
|-
|-
!4ths
|Du
|16-18
|Su
| colspan="2" |Fo Fa Fu
|Ru
| colspan="2" |v4 P4 ^4
|Lu
| colspan="2" |vF F ^F
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!tritones
|
|19-22
|
| colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si
|
| colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5
|
| colspan="2" |^^F/vGb vF#/Gb F#/^Gb ^F#/vvG
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!5ths
| colspan="14" |
|23-25
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 ^5
| colspan="2" |vG G ^G
|-
|-
!6ths
! rowspan="3" |down
|26-32
 
|Flo Fla Flu
circle
|Li Lo La Lu
!35
|vm6 m6 ^m6
!20
|~6 vM6 M6 ^M6
!5
|vAb Ab ^Ab
!26
|vvA vA A ^A
!11
!32
!17
!2
!23
!8
!29
!14
!35
|-
|-
!7ths
|Do
|33-39
|So
|Tho Tha Thu
|Ro
|Ti To Ta Tu
|Lo
|vm7 m7 ^m7
|Mo
|~7 vM7 M7 ^M7
|To
|vBb Bb ^Bb
|Po
|vvB vB B ^B
|
|
|
|
|
|
|-
|-
!8ves
|
|40-41 (42)
|
| colspan="2" |Do Da (Du)
|
| colspan="2" |v8 P8 (^8)
|
| colspan="2" |vC C (^C)
|
|}'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/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'''
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|}


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


== 43edo ==
dud
{| class="wikitable center-all"
 
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded
circle
![[43edo]]
!
!edosteps
!0
! colspan="2" |solfege names
!22
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!6
!28
!12
!34
!18
!2
!24
!8
!30
!14
!36
!20
!4
!26
!10
!32
!16
!38
|-
|-
!unisons
!-a
|0-'''2'''
|Da
| colspan="2" |Da Du '''Di=Fre'''
|Sa
| colspan="2" |P1 ^1 ^^1
|Ra
| colspan="2" |C ^C ^^C
|La
|-
|Ma
!2nds
|Ta
|'''2-9'''
|Pa
|'''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
!-e
|'''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
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|
|
|
|
|
|
|
|-
|-
!4ths
!-i
|'''16'''-19
|
| colspan="2" |'''Fe''' Fo Fa Fu
|
| colspan="2" |vv4 v4 P4 ^4
|
| colspan="2" |vvF vF F ^F
|
|-
|
!tritones
|
|20-23
|
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu
|Di
| colspan="2" |vA4/vvd5  A4/vd5  ^A4/d5  ^^A4/^d5
|Si
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
|Ri
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|-
!5ths
!-a
|24-'''27'''
|
| colspan="2" |So Sa Su '''Si=Fle'''
|
| colspan="2" |v5 P5 ^5 ^^5
|
| colspan="2" |vG G ^G ^^G
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!6ths
!
|'''27-34'''
! colspan="2" |perfect
|'''Fle''' Flo Fla Flu
! colspan="4" |major
|Lo La Lu '''Li=The'''
! colspan="8" |in-between
|vvm6 vm6 m6 ^m6
! colspan="4" |minor
|vM6 M6 ^M6 ^^M6
! colspan="2" |perfect
|vvAb vAb Ab ^Ab
|vA A ^A ^^A
|-
|-
!7ths
| colspan="22" |
|'''34-41'''
|'''The''' Tho Tha Thu
|To Ta Tu '''Ti=De'''
|vvm7 vm7 m7 ^m7
|vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb
|vB B ^B ^^B
|-
|-
!8ves
! rowspan="5" |up/
|'''41'''-43
| 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 '''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'''


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


== 45edo ==
circle
{| class="wikitable center-all"
!
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim)
!1
![[45edo]]
!23
!edosteps
!7
! colspan="2" |solfege names
!29
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!13
!35
!19
!3
!25
!9
!31
!15
!37
!21
!5
!27
!11
!33
!17
!1
|-
|-
!unisons
!-u
|0-2
|Du
| colspan="2" |Da Du Di
|Su
| colspan="2" |P1 ^1 A1
|Ru
| colspan="2" |C ^C C#
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!2nds
!-o
|3-9
|
|Fre Fro Fra
|
|Ro Ra Ru Ri
|
|d2 vm2 m2
|
|~2 M2 ^M2 A2
|
|Dbb vDb Db
|
|vD D ^D D#
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!3rds
!-u
|10-16
|
|Ne No Na
|
|Mo Ma Mu Mi
|
|d3 vm3 m3
|
|~3 M3 ^M3 A3
|
|Ebb vEb Eb
|
|vE E ^E E#
|
|
|
|
|
|
|
|
|
|
|
|
|Fu
|Du
|-
|-
!4ths
!
|17-20
! colspan="2" |upperfect
| colspan="2" |Fe Fo Fa Fu/Po
! colspan="4" |upmajor
| colspan="2" |d4 v4 P4 ~4
!
| colspan="2" |Fb vF F ^F
! colspan="4" |downminor
|-
! colspan="3" |downperfect
!tritones
! colspan="4" |mid
|21-24
! colspan="2" |upperfect
| 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
== 39edo ==
|-
!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'''
 
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Fi
* <u>dup/aug</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Sho
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu
* <u>up</u>: Fu '''Du''' Su Ru Lu Mu Tu Pu/She
* <u>dud/dim</u>: She Fre Fle Ne The Fe '''De''' Se/Sha
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
 
== 46edo ==
Could use only 4 vowels by replacing -e with -i.
Could use only 4 vowels by replacing -e with -i.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid)
|+
![[46edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) in-between notes are bolded
![[39edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 7,488: Line 7,686:
|-
|-
!unisons
!unisons
|0-1
|0-'''1'''
| colspan="2" |Da Du
| colspan="2" |Da '''Du=Fro'''
| colspan="2" |P1 ^1
| colspan="2" |P1 '''^1=vm2'''
| colspan="2" |C ^C
| colspan="2" |C '''^C=vDb'''
|-
|-
!2nds
!2nds
|2-9
|'''1-8'''
|Fro Fra Fru Fri
|'''Fro''' Fra Fru Fri
|Re Ro Ra Ru
|Re Ro Ra '''Ru=No'''
|vm2 m2 ^m2 v~2
|'''vm2''' m2 ^m2 v~2
|^~2 vM2 M2 ^M2
|^~2 vM2 M2 '''^M2=vm3'''
|vDb Db ^Db ^^Db
|'''vDb''' Db ^Db ^^Db
|vvD vD D ^D
|vvD vD D '''^D=vEb'''
|-
|-
!3rds
!3rds
|10-17
|'''8-15'''
|No Na Nu Ni
|'''No''' Na Nu Ni
|Me Mo Ma Mu
|Me Mo Ma '''Mu=Fo'''
|vm3 m3 ^m3 v~3
|'''vm3''' m3 ^m3 v~3
|^~3 vM3 M3 ^M3
|^~3 vM3 M3 '''^M3=v4'''
|vEb Eb ^Eb ^^Eb
|'''vEb''' Eb ^Eb ^^Eb
|vvE vE E ^E
|vvE vE E '''^E=vF'''
|-
|-
!4ths
!4ths
|18-20
|'''15'''-17
| 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
|21-25
|18-21
| colspan="2" |Fi/Sho Pe/Sha Po/Shu Pa/Shi Pu/Se
| colspan="2" |Fi/Sha Pe/Shu Po/Shi Pa/Se
| colspan="2" |v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5
| colspan="2" |^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
|-
|-
!5ths
!5ths
|26-28
|22-'''24'''
| colspan="2" |So Sa Su
| colspan="2" |So Sa '''Su=Flo'''
| colspan="2" |v5 P5 ^5
| colspan="2" |v5 P5 '''^5=vm6'''
| colspan="2" |vG G ^G
| colspan="2" |vG G ^G='''vAb'''
|-
|-
!6ths
!6ths
|29-36
|'''24-31'''
|Flo Fla Flu Fli
|'''Flo''' Fla Flu Fli
|Le Lo La Lu
|Le Lo La '''Lu=Tho'''
|vm6 m6 ^m6 v~6
|'''vm6''' m6 ^m6 v~6
|^~6 vM6 M6 ^M6
|^~6 vM6 M6 '''^M6=vm7'''
|vAb Ab ^Ab ^^Ab
|'''vAb''' Ab ^Ab ^^Ab
|vvA vA A ^A
|vvA vA A '''^A=vBb'''
|-
|-
!7ths
!7ths
|37-44
|'''31-38'''
|Tho Tha Thu Thi
|'''Tho''' Tha Thu Thi
|Te To Ta Tu
|Te To Ta '''Tu=Do'''
|vm7 m7 ^m7 v~7
|'''vm7''' m7 ^m7 v~7
|^~7 vM7 M7 ^M7
|^~7 vM7 M7 '''^M7=v8'''
|vBb Bb ^Bb ^^Bb
|'''vBb''' Bb ^Bb ^^Bb
|vvB vB B ^B
|vvB vB B '''^B=vC'''
|-
|-
!8ves
!8ves
|45-46 (47)
|'''38'''-39 (40)
| colspan="2" |Do Da (Du)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |vC C (^C)
| colspan="2" |'''vC''' C (^C)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Shi Fri Fli Ni Thi Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Se Re Le Me Te Pe/Sha Fra Fla Na Tha Fa '''Da'''
'''Da''' Sa Ra La Ma Ta Pa/Se Re Le Me Te Pe/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa '''Da'''


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


== 50edo ==
== 45edo ==
{| class="wikitable center-all"
{| class="wikitable center-all"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|+
![[50edo]]
uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim)
![[45edo]]
!edosteps
!edosteps
! colspan="2" |solfege names
! colspan="2" |solfege names
Line 7,964: Line 8,065:
|0-2
|0-2
| colspan="2" |Da Du Di
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |P1 ^1 A1
| colspan="2" |C ^C ^^C
| colspan="2" |C ^C C#
|-
|-
!2nds
!2nds
|3-10
|3-9
|Fre Fro Fra Fru
|Fre Fro Fra
|Ro Ra Ru Ri
|Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2
|d2 vm2 m2
|vM2 M2 ^M2 ^^M2
|~2 M2 ^M2 A2
|vvDb vDb Db ^Db
|Dbb vDb Db
|vD D ^D ^^D
|vD D ^D D#
|-
|-
!3rds
!3rds
|11-18
|10-16
|Ne No Na Nu
|Ne No Na
|Mo Ma Mu Mi
|Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3
|d3 vm3 m3
|vM3 M3 ^M3 ^^M3
|~3 M3 ^M3 A3
|vvEb vEb Eb ^Eb
|Ebb vEb Eb
|vE E ^E ^^E
|vE E ^E E#
|-
|-
!4ths
!4ths
|19-22
|17-20
| colspan="2" |Fe Fo Fa Fu
| colspan="2" |Fe Fo Fa Fu/Po
| colspan="2" |vv4 v4 P4 ^4
| colspan="2" |d4 v4 P4 ~4
| colspan="2" |vvF vF F ^F
| colspan="2" |Fb vF F ^F
|-
|-
!tritones
!tritones
|23-27
|21-24
| colspan="2" |Fi/Po Pa/She Pu/Sho Pi/Sha Shu/Se
| colspan="2" |Fi/Pa Pu/She Pi/Sho Sha/Se
| colspan="2" |^^4/vA4 A4/vvd5 ^A4/vd5 ^^A4/d5 ^d5/vv5
| colspan="2" |A4 ^A4/dd5 AA4/vd5 d5
| colspan="2" |^^F/vF# F#/vvGb ^F#/vGb ^^F#/Gb ^Gb/vvG
| colspan="2" |F# ^F#/Gbb Fx/vGb Gb
|-
|-
!5ths
!5ths
|28-31
|25-28
| colspan="2" |So Sa Su Si
| colspan="2" |So Sa Su Si
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |~5 P5 ^5 A5
| colspan="2" |vG G ^G ^^G
| colspan="2" |vG G ^G G#
|-
|-
!6ths
!6ths
|32-39
|29-35
|Fle Flo Fla Flu
|Fle Flo Fla
|Lo La Lu Li
|Lo La Lu Li
|vvm6 vm6 m6 ^m6
|d6 vm6 m6
|vM6 M6 ^M6 ^^M6
|~6 M6 ^M6 A6
|vvAb vAb Ab ^Ab
|Abb vAb Ab
|vA A ^A ^^A
|vA A ^A A#
|-
|-
!7ths
!7ths
|40-47
|36-42
|The Tho Tha Thu
|The Tho Tha
|To Ta Tu Ti
|To Ta Tu Ti
|vvm7 vm7 m7 ^m7
|d7 vm7 m7
|vM7 M7 ^M7 ^^M7
|^~7 M7 ^M7 A7
|vvBb vBb Bb ^Bb
|Bbb vBb Bb
|vB B ^B ^^B
|vB B ^B B#
|-
|-
!8ves
!8ves
|48-50
|43-45 (46 47)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |De Do Da (Du Di)
| colspan="2" |vv8 v8 P8 (^8 ^^8)
| colspan="2" |d8 v8 P8 (^8 A8)
| colspan="2" |vvC vC C (^C ^^C)
| colspan="2" |Cb vC C (^C C#)
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/She Fre Fle Ne The Fe '''De''' Se/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi Di Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da'''  
'''Da''' Sa Ra La Ma Ta Pa/Fi '''Di''' Si Ri Li Mi Ti Pi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/She Fre Fle Ne The Fe '''De''' Se/Sha Fra Fla Na Tha Fa '''Da'''


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


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


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


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


* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Sho
circle
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
!0
* <u>dud</u>: She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi
!28
* <u>dup</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Shu
!8
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
!36
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da'''
!16
 
!44
==60edo==
!24
{| class="wikitable center-all"
!4
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
!32
![[60edo]]
!12
!edosteps
!40
! colspan="2" |solfege names
!20
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!48
|-
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
|-
!2nds
|Da
|3-12
|Sa
|Fre Fro Fra Fru Fri
|Ra
|Re Ro Ra Ru Ri
|La
|vvm2 vm2 m2 ^m2 v~2
|Ma
|^~2 vM2 M2 ^M2 ^^M2
|Ta
|vvDb vDb Db ^Db ^^Db
|Pa
|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
|Sha
|vvE vE E ^E ^^E
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!4ths
| colspan="14" |
|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
! rowspan="3" |up
|28-32
 
| colspan="2" |Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi
circle
| colspan="2" |^~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/v~5
!1
| colspan="2" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
!29
!9
!37
!17
!45
!25
!5
!33
!13
!41
!21
!1
|-
|-
!5ths
|Du
|33-37
|Su
| colspan="2" |Se So Sa Su Si
|Ru
| colspan="2" |^~5 v5 P5 ^5 ^^5
|Lu
| colspan="2" |vvG vG G ^G ^^G
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!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
|Shu
|vvA vA A ^A ^^A
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!7ths
| colspan="14" |
|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
! rowspan="3" |down
|58-60
 
| colspan="2" |De Do Da (Du Di)
circle
| colspan="2" |vv8 v8 P8 (^8 ^^8)
!47
| colspan="2" |vvC vC C (^C ^^C)
!27
|}
!7
{| class="wikitable center-all"
|+'''circles of fifths'''
! rowspan="3" |plain
circle
!0
!35
!35
!10
!45
!20
!55
!30
!5
!40
!15
!15
!50
!43
!25
!23
!60
!3
!31
!11
!39
!19
!47
|-
|-
|Da
|Do
|Sa
|So
|Ra
|Ro
|La
|Lo
|Ma
|Mo
|Ta
|To
|Pa
|Po
|
|
|
|
Line 8,349: Line 8,530:
|
|
|
|
|Sha
|Sho
|Fra
|Fro
|Fla
|Flo
|Na
|No
|Tha
|Tho
|Fa
|Fo
|Da
|Do
|-
|-
| colspan="14" |
| colspan="14" |
|-
|-
! rowspan="3" |up
! rowspan="5" |mid /
 
inbetween
 
circle
circle
!1
!2
!36
!30
!11
!10
!38
!18
!46
!46
!21
!26
!56
!31
!6
!6
!41
!34
!16
!14
!51
!42
!26
!22
!1
!2
|-
|-
|Du
|Di
|Su
|Si
|Ru
|Ri
|Lu
|Li
|Mu
|Mi
|Tu
|Ti
|Pu
|Pi
|
|
|
|
Line 8,395: Line 8,579:
|
|
|
|
|Shu
|Shi
|Fru
|Fri
|Flu
|Fli
|Nu
|Ni
|Thu
|Thi
|Fu
|Fi
|Du
|Di
|-
|-
| colspan="14" |
|Fre
|Fle
|Ne
|The
|Fe
|De
|Se
|Re
|Le
|Me
|Te
|Pe
|
|-
|-
! rowspan="3" |down
circle
!59
!34
!9
!44
!19
!54
!29
!64
!39
!74
!49
!84
!59
|-
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
Line 8,434: Line 8,607:
|
|
|
|
|
|
|
|
|
|She
|Fre
|-
|-
!
! colspan="6" |in-between
! colspan="6" |mid
|
|
|
|}
|
 
|
== 50edo ==
|
{| class="wikitable center-all"
|
|+
|Sho
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
|Fro
![[50edo]]
|Flo
!edosteps
|No
! colspan="2" |solfege names
|Tho
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|Fo
|Do
|-
|-
| colspan="14" |
!unisons
|0-2
| colspan="2" |Da Du Di
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
|-
! rowspan="3" |dup
!2nds
circle
|3-10
!2
|Fre Fro Fra Fru
!37
|Ro Ra Ru Ri
!12
|vvm2 vm2 m2 ^m2
!47
|vM2 M2 ^M2 ^^M2
!22
|vvDb vDb Db ^Db
!57
|vD D ^D ^^D
!32
|-
!7
!3rds
!42
|11-18
!17
|Ne No Na Nu
!52
|Mo Ma Mu Mi
!27
|vvm3 vm3 m3 ^m3
!2
|vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb
|vE E ^E ^^E
|-
|-
|Di
!4ths
|Si
|19-22
|Ri
| colspan="2" |Fe Fo Fa Fu
|Li
| colspan="2" |vv4 v4 P4 ^4
|Mi
| colspan="2" |vvF vF F ^F
|Ti
|Pi
|
|
|
|
|
|
|-
|-
|
!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
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
|-
| colspan="14" |
!5ths
|28-31
| colspan="2" |So Sa Su Si
| colspan="2" |v5 P5 ^5 ^^5
| colspan="2" |vG G ^G ^^G
|-
|-
! rowspan="3" |dud circle
!6ths
!58
|32-39
!33
|Fle Flo Fla Flu
!8
|Lo La Lu Li
!43
|vvm6 vm6 m6 ^m6
!18
|vM6 M6 ^M6 ^^M6
!53
|vvAb vAb Ab ^Ab
!28
|vA A ^A ^^A
!3
!38
!13
!48
!23
!58
|-
|-
|De
!7ths
|Se
|40-47
|Re
|The Tho Tha Thu
|Le
|To Ta Tu Ti
|Me
|vvm7 vm7 m7 ^m7
|Te
|vM7 M7 ^M7 ^^M7
|Pe
|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)
|
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|}
|}
'''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'''


== Rank-2 Uniform Solfeges by Pergen ==
* plain: '''Da''' Sa Ra La Ma Ta Pa/She
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 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 can only be 5 fifthchains. This covers 21 pergens.
* dud: She Fre Fle Ne The Fe '''De''' Se/Shu
* up: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho
* down: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi
* dup: Fi Di Si Ri Li Mi Ti Pi/Sha
* plain: Sha Fra Fla Na Tha Fa '''Da'''


Genchains are distinct from fifthchains. Consider a pergen (P8/m, M/n), where M is some perfect multigen, e.g. P4, P5, or P11. This pergen has m genchains, each containing n fifthchains, and needs m*n vowels. If the multigen is imperfect, such as (P8/2, M2/4), let t = the 3-count of M's monzo, and the pergen needs n*m/t vowels. However if m is even, the half-octave requires two names, and the pergen needs an additional vowel.
== 53edo ==
 
{| class="wikitable center-all"
The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval.
|+
 
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
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.
![[53edo]]
 
!edosteps
 
! colspan="2" |solfege names
To do: for each pergen, list the entire genchain in melodic order, if possible?
! colspan="2" |[[Ups and downs notation|ups and downs]] names
 
 
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"
|+MOS scales and good pergens for them (bolded = requires > 5 vowels)
!MOS scale
! colspan="2" |primary example
!secondary examples
|-
|-
!Pentatonic
!unisons
!
|0-2
!
| colspan="2" |Da Du Di/Fre
!
| colspan="2" |P1 ^1 ^^1/vvm2
|-
|-
|1L 4s
!2nds
|(P8, P5/3) [5]
|2-11
|third-5th pentatonic
|Di/Fre Fro Fra Fru Fri
|third-4th, quarter-4th, quarter-5th
|Re Ro Ra Ru Ri/Ne
|^^1/vvm2 vm2 m2 ^m2 v~2
|^~2 vM2 M2 ^M2 ^^M2/vvm3
|-
|-
|2L 3s
!3rds
|(P8, P5) [5]
|11-20
|unsplit pentatonic
|Ri/Ne No Na Nu Ni
|third-11th
|Me Mo Ma Mu Mi/Fe
|^^M2/vvm3 vm3 m3 ^m3 v~3
|^~3 vM3 M3 ^M3 ^^M3/vv4
|-
|-
|3L 2s
!4ths
|(P8, P12/4) [5]
|20-23
|quarter-12th pentatonic
| colspan="2" |Mi/Fe Fo Fa Fu
|quarter-11th
| colspan="2" |^^M3/vv4 v4 P4 ^4
|-
|-
|4L 1s
!tritones
|(P8, P4/2) [5]
|24-29
|half-4th pentatonic
| 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
|-
|-
!Hexatonic
!5ths
!
|30-33
!
| colspan="2" |So Sa Su Si/Fle
!
| colspan="2" |v5 P5 ^5 ^^5/vvm6
|-
|-
|1L 5s
!6ths
|(P8, P4/3) [6]
|33-42
|third-4th hexatonic
|Si/Fle Flo Fla Flu Fli
|quarter-4th, quarter-5th, fifth-4th, fifth-5th
|Le Lo La Lu Li/The
|^^5/vvm6 vm6 m6 ^m6 v~6
|^~6 vM6 M6 ^M6 ^^M6/vvm7
|-
|-
|2L 4s
!7ths
|(P8/2, P5) [6]
|42-51
|half-8ve hexatonic
|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
|-
|-
|3L 3s
!8ves
|(P8/3, P5) [6]
|51-53 (54 55)
|third-8ve hexatonic
| 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: '''Da''' Sa Ra La Ma Ta Pa/Shu
* up: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi
* dup/dud: Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se
* dud: Se Re Le Me Te Pe/Sho
* down: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha
* plain: 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
|-
|-
|4L 2s
!unisons
|(P8/2, P4/2) [6]
|0-2
|half-everything hexatonic
|Do Di Daw
|
|P1 ^1 ^^1
|-
|-
|5L 1s
!2nds
|(P8, P5/3) [6]
|3-11
|third-5th hexatonic
|Ro Rih Ra Ru Ruh Reh Re Ri Raw
|
|vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
|-
|-
!Heptatonic
!3rds
!
|12-20
!
|Ma Meh Me Mu Muh Mi Maa Mo Maw
!
|vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
|-
|-
|1L 6s
!4ths
|(P8, P4/3) [7]
|21-26
|third-4th heptatonic
|Fe Fa Fih Fu Fuh Fi
|quarter-4th, fifth-4th, fifth-5th, '''sixth-4th, sixth-5th'''
|v4 P4 ^4 v~4 ^~4 vA4
|-
|-
|2L 5s
!5ths
|(P8, P11/3) [7]
|27-33
|third-11th heptatonic
|Se Suh Su Sih So (or Sol) Si Saw
|fifth-coco-4th, '''sixth-coco-5th'''
|^d5 v~5 ^~5 v5 P5 ^5 ^^5
|-
|-
|3L 4s
!6ths
|(P8, P5/2) [7]
|34-42
|half-5th heptatonic
|Lo Leh Le Lu Luh La Laa Li Law
|fifth-12th
|vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
|-
|-
|4L 3s
!7ths
|(P8, P11/5) [7]
|43-51
|fifth-11th heptatonic
|Ta Teh Te Tu Tuh Ti Tih To Taw
|'''sixth-12th'''
|vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
|-
|-
|5L 2s
!8ves
|(P8, P5) [7]
|52-(55)
|unsplit heptatonic
|Da Do (Di Daw)
|'''sixth-coco-4th'''
|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
|-
|-
|6L 1s
!unisons
|(P8, P5/4) [7]
|0-2
|quarter-5th heptatonic
| colspan="2" |Da Du Di
|
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
|-
!Octotonic
!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
|-
|-
|1L 7s
!3rds
|(P8, P4/4) [8]
|12-20
|quarter-4th octotonic
|Ne No Na Nu
|fifth-4th, fifth-5th, '''sixth-4th, sixth-5th, seventh-4th, seventh-5th'''
|Me Mo Ma Mu Mi
|-
|vvm3 vm3 m3 ^m3
|2L 6s
|~3 vM3 M3 ^M3 ^^M3
|(P8/2, P5) [8]
|vvEb vEb Eb ^Eb
|half-8ve octotonic
|vvE vE E ^E ^^E
|
|-
|-
|3L 5s
!4ths
|(P8, P11/4) [8]
|21-25
|quarter-11th octotonic
| colspan="2" |Fe Fo Fa Fu Fi/Pe
|'''seventh-cc4th, seventh-cc5th'''
| colspan="2" |vv4 v4 P4 ^4 ~4
| colspan="2" |vvF vF F ^F ^^F
|-
|-
|4L 4s
!tritones
|(P8/4, P5) [8]
|26-29
|quarter-8ve octotonic
| 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
|-
|-
|5L 3s
!5ths
|(P8, P12/4) [8]
|30-34
|quarter-12th octotonic
| colspan="2" |Se So Sa Su Si
|(very lopsided, unless 5th is quite flat)
| colspan="2" |~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
|-
|-
|6L 2s
!6ths
|'''(P8/2, P4/3) [8]'''
|35-43
|'''half-8ve third-4th octotonic'''
|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
|-
|-
|7L 1s
!7ths
|(P8, P4/3) [8]
|44-52
|third-4th octotonic
|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
|-
|-
!Nonatonic
!8ves
!
|53-55
!
| colspan="2" |De Do Da (Du Di)
!
| colspan="2" |vv8 v8 P8 (^8 ^^8)
|-
| colspan="2" |vvC vC C (^C ^^C)
|1L 8s
|}
|(P8, P4/4) [9]
'''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'''
|quarter-4th nonatonic
 
|fifth-4th, '''sixth-4th, sixth-5th, seventh-4th/5th, eighth-4th/5th'''
* plain: '''Da''' Sa Ra La Ma Ta Pa/Sho
* down: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She
* dud: She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi
* dup: Fi '''Di''' Si Ri Li Mi Ti Pi/Shu
* up: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha
* plain: 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
|-
|-
|2L 7s
!unisons
|'''(P8, c<sup>3</sup>P5/8) [9]'''
|0-2
|'''eighth-trico-5th nonatonic'''
| colspan="2" |Da Du Di
|third-11th, fifth-coco-4th
| colspan="2" |P1 ^1 ^^1
| colspan="2" |C ^C ^^C
|-
|-
|3L 6s
!2nds
|(P8/3, P5) [9]
|3-12
|third-8ve nonatonic
|Fre Fro Fra Fru Fri
|'''third-8ve half-5th'''
|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
|-
|-
|4L 5s
!3rds
|'''(P8, P12/7) [9]'''
|13-22
|'''seventh-12th nonatonic'''
|Ne No Na Nu Ni
|'''sixth-11th'''
|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
|-
|-
|5L 4s
!4ths
|(P8, P4/2) [9]
|23-27
|half-4th nonatonic
| colspan="2" |Fe Fo Fa Fu Fi
|(lopsided unless 4th is sharp), '''seventh-11th'''
| colspan="2" |vv4 v4 P4 ^4 v~4
| colspan="2" |vvF vF F ^F ^^F
|-
|-
|6L 3s
!tritones
|'''(P8/3, P4/2) [9]'''
|28-32
|'''third-8ve half-4th nonatonic'''
| 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
|-
|-
|7L 2s
!5ths
|'''(P8, ccP5/6)[9]'''
|33-37
|'''sixth-coco-5th nonatonic'''
| colspan="2" |Se So Sa Su Si
|(lopsided unless 5th is sharp)
| colspan="2" |^~5 v5 P5 ^5 ^^5
| colspan="2" |vvG vG G ^G ^^G
|-
|-
|8L 1s
!6ths
|(P8, P5/5) [9]
|38-47
|fifth-5th nonatonic
|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
|-
|-
!Decatonic
!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
|-
|-
|1L 9s
!8ves
|'''(P8, P5/6) [10]'''
|58-60
|'''sixth-5th decatonic'''
| colspan="2" |De Do Da (Du Di)
|fifth-4th, '''sixth-4th, seventh-4th/5th, eighth-4th/5th, ninth-4th/5th'''
| 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
|-
|-
|2L 8s
|Da
|(P8/2, P5) [10]
|Sa
|half-8ve decatonic
|Ra
|half-8ve quartertone, '''half-8ve third-11th'''
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|-
|-
|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'''
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
|7L 3s
| colspan="14" |
|(P8, P5/2) [10]
|half-5th decatonic
|ninth-cc5th
|-
|-
|8L 2s
! rowspan="3" |up
|'''(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) ==
circle
 
!1
* P = P8, G = P5
!36
* EI = vA1
!11
 
!46
MOS scales covered:
!21
 
!56
* 5 = 2L3s (for 3L2s, use P11/4 or P12/4, to avoid Sa > 3\5= 720¢)
!31
* 7 = 5L2s (for 2L5s, perhaps use P11/3 or ccP4/5, to avoid Sa < 4\7 = 686¢)
!6
* 12 = 7L5s or 5L7s (extended solfege only)
!41
 
!16
{| class="wikitable center-all"
!51
|+'''uniform solfege (-a = plain)'''
!26
| rowspan="2" |
! colspan="13" |genspan
|-
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!1
!2
!3
!4
!5
!6
|-
|-
!solfege
|Du
|Sha
|Su
|Fra
|Ru
|Fla
|Lu
|Na
|Mu
|Tha
|Tu
|Fa
|Pu
|'''Da'''
|
|Sa
|
|Ra
|
|La
|
|Ma
|
|Ta
|
|Pa
|-
|-
!intervals
|
|d5
|
|m2
|
|m6
|
|m3
|
|m7
|
|P4
|Shu
|'''P1'''
|Fru
|P5
|Flu
|M2
|Nu
|M6
|Thu
|M3
|Fu
|M7
|Du
|A4
|-
|-
!notes
| colspan="14" |
|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)'''
| rowspan="2" |
! colspan="24" |genspan
!
|-
|-
!...
! rowspan="3" |down
!-11
 
!-10
circle
!-9
!59
!-8
!34
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!9
!10
!44
!11
!19
!...
!54
!29
!64
!39
!74
!49
!84
!59
|-
|-
!solfege
|Do
| rowspan="3" |...
|So
|Ro
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Sho
|Fro
|Flo
|Flo
|No
|No
Line 8,902: Line 9,125:
|Fo
|Fo
|Do
|Do
|So/Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa/Fu
|Du
|Su
|Ru
|Lu
|Mu
| rowspan="3" |...
|-
|-
!intervals
| colspan="14" |
|d6
|-
|d3
! rowspan="3" |dup
|d7
 
|d4
circle
|d8
!2
|d5
!37
|m2
!12
|m6
!47
|m3
!22
|m7
!57
|P4
!32
|'''P1'''
!7
|P5
!42
|M2
!17
|M6
!52
|M3
!27
|M7
|A4
|A1
|A5
|A2
|A6
|A3
|-
!notes
|Abb
|Ebb
|Bbb
|Fb
|Cb
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|C#
|G#
|D#
|A#
|E#
|}
{| class="wikitable center-all"
|+2L3s MOS scales (L = m3, s = M2)
|-
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!0
! 1
!2
!2
!3
!4
!5
|-
|-
!1st 2L3s
|Di
!ssLsL
|Si
!Ionian
|Ri
|Da
|Li
| Ra
|Mi
|'''Ma'''
|Ti
|Sa
|Pi
|La
|
|Da
|
|
|
|
|
|-
|-
!2nd 2L3s
|
!sLssL
|
!Mixolydian
|
|Da
|
| Ra
|
|'''Fa'''
|
|Sa
|Shi
|'''La'''
|Fri
|Da
|Fli
|Ni
|Thi
|Fi
|Di
|-
|-
!3rd 2L3s
| colspan="14" |
!sLsLs
!Dorian
|Da
|'''Ra'''
|Fa
|Sa
|'''Tha'''
|Da
|-
|-
!4th 2L3s
! rowspan="3" |dud circle
!LssLs
!58
!Aolian
!33
|Da
!8
|'''Na'''
!43
|Fa
!18
|'''Sa'''
!53
|Tha
!28
|Da
!3
!38
!13
!48
!23
!58
|-
|-
!5th 2L3s
|De
!LsLss
|Se
!Phrygian
|Re
|Da
|Le
|Na
|Me
|Fa
|Te
|'''Fla'''
|Pe
|Tha
|
|Da
|
|
|
|
|
|-
|
|
|
|
|
|
|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 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 can only be 5 fifthchains.
Genchains are distinct from fifthchains. Each pergen has one or more genchains, 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 20 or 21 pergens.
The EI (enharmonic interval) 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: for each pergen, list the entire genchain in melodic order, if possible?
=== 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"
{| class="wikitable center-all"
|+5L2s MOS scales (L = M2, s = m2)
|+
MOS scales and good pergens for them (bolded = requires more than 5 vowels)
!MOS scale
! colspan="2" |primary example
!secondary examples
|-
|-
![[Genchain mode numbering|GMN]] name
!Pentatonic
! colspan="2" |scale
!
!1sn
!
! 2nd
!
! 3rd
|-
!4th
|1L 4s
!5th
|(P8, P5/3) [5]
!6th
|third-5th pentatonic
!7th
|third-4th, quarter-4th, quarter-5th
!8ve
|-
|-
!1st 5L2s
|2L 3s
!LLLsLLs
|(P8, P5) [5]
!Lydian
|unsplit pentatonic
|Da
|third-11th
| Ra
| Ma
|'''Pa'''
|Sa
|La
|Ta
|Da
|-
|-
!2nd 5L2s
|3L 2s
!LLsLLLs
|(P8, P12/4) [5]
!Ionian
|quarter-12th pentatonic
|Da
|quarter-11th
| Ra
| Ma
|'''Fa'''
|Sa
|La
|'''Ta'''
|Da
|-
|-
!3rd 5L2s
|4L 1s
!LLsLLsL
|(P8, P4/2) [5]
!Mixolydian
|half-4th pentatonic
|Da
|
|Ra
|'''Ma'''
|Fa
|Sa
|La
|'''Tha'''
|Da
|-
|-
!4th 5L2s
!Hexatonic
!LsLLLsL
!
!Dorian
!
|Da
!
|Ra
|'''Na'''
|Fa
|Sa
|'''La'''
|Tha
|Da
|-
|-
!5th 5L2s
|1L 5s
!LsLLsLL
|(P8, P4/3) [6]
!Aolian
|third-4th hexatonic
|Da
|quarter-4th, quarter-5th, fifth-4th, fifth-5th
|'''Ra'''
|Na
|Fa
|Sa
|'''Fla'''
|Tha
|Da
|-
|-
!6th 5L2s
|2L 4s
!sLLLsLL
|(P8/2, P5) [6]
!Phrygian
|half-8ve hexatonic
|Da
|
|'''Fra'''
|Na
|Fa
|'''Sa'''
|Fla
|Tha
|Da
|-
|-
!7th 5L2s
|3L 3s
!sLLsLLL
|(P8/3, P5) [6]
!Locrian
|third-8ve hexatonic
|Da
|
|Fra
|Na
|Fa
|'''Sha'''
|Fla
|Tha
|Da
|}
{| class="wikitable center-all"
|+5L7s MOS scales (L = A1/^1, s = m2/vM2)
|-
|-
![[Genchain mode numbering|GMN]] name
|4L 2s
!scale
|(P8/2, P4/2) [6]
!0
|half-everything hexatonic
!1
|
! 2
!3
! 4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|-
!1st 5L7s
|5L 1s
!LsLsLssLsLss
|(P8, P5/3) [6]
|Da
|third-5th hexatonic
|Du
|
| Ra
|Ru
| Ma
|'''Mu'''
|Pa/Fu
|Sa
|Su
|La
|Lu
|Ta
|Da
|-
|-
!2nd 5L7s
!Heptatonic
!LsLssLsLsLss
!
|Da
!
|Du
!
| Ra
|-
|Ru
|1L 6s
| Ma
|(P8, P4/3) [7]
|'''Fa'''
|third-4th heptatonic
|Pa/Fu
|quarter-4th, fifth-4th, fifth-5th, '''sixth-4th, sixth-5th'''
|Sa
|Su
|La
|'''Lu'''
|Ta
|Da
|-
|-
!3rd 5L7s
|2L 5s
!LsLssLsLssLs
|(P8, P11/3) [7]
|Da
|third-11th heptatonic
|Du
|fifth-coco-4th, '''sixth-coco-5th'''
|Ra
|'''Ru'''
|Ma
|Fa
|Pa/Fu
|Sa
|Su
|La
|'''Tha'''
|Ta
|Da
|-
|-
!4th 5L7s
|3L 4s
!LssLsLsLssLs
|(P8, P5/2) [7]
|Da
|half-5th heptatonic
|Du
|fifth-12th
|Ra
|'''Na'''
|Ma
|Fa
|Pa/Fu
|Sa
|'''Su'''
|La
|Tha
|Ta
|Da
|-
|-
!5th 5L7s
|4L 3s
!LssLsLssLsLs
|(P8, P11/5) [7]
|Da
|fifth-11th heptatonic
|'''Du'''
|'''sixth-12th'''
|Ra
|Na
|Ma
|Fa
|Pa/Fu
|Sa
|'''Fla'''
|La
|Tha
|Ta
|Da
|-
|-
!6th 5L7s
|5L 2s
!sLsLsLssLsLs
|(P8, P5) [7]
|Da
|unsplit heptatonic
|'''Fra'''
|'''sixth-coco-4th'''
|Ra
|Na
|Ma
|Fa
|'''Pa'''
|Sa
|Fla
|La
|Tha
|Ta
|Da
|-
|-
!7th 5L7s
|6L 1s
!sLsLssLsLsLs
|(P8, P5/4) [7]
|Da
|quarter-5th heptatonic
|Fra
|
|Ra
|Na
|Ma
|Fa
|'''Sha'''
|Sa
|Fla
|La
|Tha
|'''Ta'''
|Da
|-
|-
!8th 5L7s
!Octotonic
!sLsLssLsLssL
!
|Da
!
|Fra
!
|Ra
|Na
|'''Ma'''
|Fa
|Sha/So
|Sa
|Fla
|La
|Tha
|'''Do'''
|Da
|-
|-
!9th 5L7s
|1L 7s
!sLssLsLsLssL
|(P8, P4/4) [8]
|Da
|quarter-4th octotonic
|Fra
|fifth-4th, fifth-5th, '''sixth-4th, sixth-5th, seventh-4th, seventh-5th'''
|Ra
|-
|Na
|2L 6s
|'''Fo'''
|(P8/2, P5) [8]
|Fa
|half-8ve octotonic
|Sha/So
|
|Sa
|Fla
|'''La'''
|Tha
|Do
|Da
|-
|-
!10th 5L7s
|3L 5s
!sLssLsLssLsL
|(P8, P11/4) [8]
|Da
|quarter-11th octotonic
|Fra
|'''seventh-cc4th, seventh-cc5th'''
|'''Ra'''
|Na
|Fo
|Fa
|Sha/So
|Sa
|Fla
|'''Tho'''
|Tha
|Do
|Da
|-
|-
!11th 5L7s
|4L 4s
!ssLsLsLssLsL
|(P8/4, P5) [8]
|Da
|quarter-8ve octotonic
|Fra
|
|'''No'''
|Na
|Fo
|Fa
|Sha/So
|'''Sa'''
|Fla
|Tho
|Tha
|Do
|Da
|-
|-
!12th 5L7s
|5L 3s
!ssLsLssLsLsL
|(P8, P12/4) [8]
|Da
|quarter-12th octotonic
|Fra
|(very lopsided, unless 5th is quite flat)
|No
|-
|Na
|6L 2s
|Fo
|'''(P8/2, P4/3) [8]'''
|Fa
|'''half-8ve third-4th octotonic'''
|Sha/So
|
|'''Flo'''
|Fla
|Tho
|Tha
|Do
|Da
|}
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
* etc.
 
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) ==
There are two solfeges, choose depending on the size of the 5th.
 
* P = vA4/^d5 (#1 solfege) '''<u>or</u>''' ^A4/vd5 (#2 solfege)
* G = P5
* EI = ^^d2 (#1 solfege) '''<u>or</u>''' vvd2 (#2 solfege)
 
MOS scales covered:
 
* 8 = 2L6s or 6L2s (#1 solfege only, Sa > 5\8 = 750¢)
* 10 = 2L8s or 8L2s (#1 solfege only, Sa > 3\5 = 720¢)
* 12 = 10L2s (#1 solfege only) or 2L10s (#2 solfege only)
* 14 = 12L2s (#2 solfege only)
* scales of 6 or fewer notes are subsets of these
 
{| class="wikitable center-all"
|+'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
|-
!-6
|7L 1s
!-5
|(P8, P4/3) [8]
!-4
|third-4th octotonic
!-3
|
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
|-
! rowspan="3" |plain
!Nonatonic
genchain
!
!solfege
!
|Sha
!
|Fra
|-
|Fla
|1L 8s
|Na
|(P8, P4/4) [9]
|Tha
|quarter-4th nonatonic
|Fa
|fifth-4th, '''sixth-4th, sixth-5th, seventh-4th/5th, eighth-4th/5th'''
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
|-
!intervals
|2L 7s
|d5
|'''(P8, c<sup>3</sup>P5/8) [9]'''
|m2
|'''eighth-trico-5th nonatonic'''
|m6
|third-11th, fifth-coco-4th
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
|-
!notes
|3L 6s
|Gb
|(P8/3, P5) [9]
|Db
|third-8ve nonatonic
|Ab
|'''third-8ve half-5th'''
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
|-
| colspan="15" |
|4L 5s
|'''(P8, P12/7) [9]'''
|'''seventh-12th nonatonic'''
|'''sixth-11th'''
|-
|-
! rowspan="3" |up/down
|5L 4s
 
|(P8, P4/2) [9]
genchain
|half-4th nonatonic
!solfege
|(lopsided unless 4th is sharp), '''seventh-11th'''
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!intervals
|6L 3s
|v8
|'''(P8/3, P4/2) [9]'''
|v5
|'''third-8ve half-4th nonatonic'''
|vM2
|
|vM6
|vM3
|vM7
|vA4/^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|-
|-
!notes
|7L 2s
|vC
|'''(P8, ccP5/6)[9]'''
|vG
|'''sixth-coco-5th nonatonic'''
|vD
|(lopsided unless 5th is sharp)
|vA
|vE
|vB
|vF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|}
{| class="wikitable center-all"
|+2L6s MOS scales using solfege #1 (L = m3/vvA3, s = vA1/^m2)
|-
|-
![[Genchain mode numbering|GMN]] name
|8L 1s
!scale
|(P8, P5/5) [9]
!0
|fifth-5th nonatonic
!1
|
! 2
! 3
! 4
!5
!6
!7
!8
|-
|-
!1st 2L6s
!Decatonic
!sssL-sssL
!
|Da
!
| Fru
!
| Ra
| '''Nu'''
| Shu
| Sa
|Flu
|'''La'''
|Da
|-
|-
!2nd 2L6s
|1L 9s
!ssLs-ssLs
|'''(P8, P5/6) [10]'''
|Da
|'''sixth-5th decatonic'''
| Fru
|fifth-4th, '''sixth-4th, seventh-4th/5th, eighth-4th/5th, ninth-4th/5th'''
| '''Ra'''
| '''Fa'''
| Po/Shu
| Sa
|'''Flu'''
|'''To'''
|Da
|-
|-
!3rd 2L6s
|2L 8s
!sLss-sLss
|(P8/2, P5) [10]
|Da
|half-8ve decatonic
|'''Fru'''
|half-8ve quartertone, '''half-8ve third-11th'''
|'''Mo'''
|Fa
|Po/Shu
|'''Sa'''
|'''Tha'''
|To
|Da
|-
|-
!4th 2L6s
|3L 7s
!Lsss-Lsss
|(P8, P12/5) [10]
|Da
|fifth-12th decatonic
|'''Na'''
|eighth-cc4th, eighth-cc5th
|Mo
|Fa
|Po
|'''Lo'''
|Tha
|To
|Da
|}The same solfege can be used for 6L2s, but Sa will be > 5\8 = 750¢.
{| class="wikitable center-all"
|+2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
|-
|-
![[Genchain mode numbering|GMN]] name
|4L 6s
!scale
|(P8/2, P4/2) [10]
!1sn
|half-everything decatonic
!2nd
|
!
! 3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
|-
!1st 2L8s
|5L 5s
!ssssL-ssssL
|(P8/2, P5) [10]
|Da
|half-8ve decatonic
| Fru
|(lopsided unless 5th is quite flat)
| Ra
| Nu
| '''Ma'''
| Shu
|Sa
|Flu
|La
|'''Thu'''
|Da
|-
|-
!2nd 2L8s
|6L 4s
!sssLs-sssLs
|'''(P8/2, P5/3) [10]'''
|Da
|'''half-8ve third-5th decatonic'''
| Fru
|
| Ra
| '''Nu'''
| '''Fa'''
| Po/Shu
|Sa
|Flu
|'''La'''
|'''To'''
|Da
|-
|-
!3rd 2L8s
|7L 3s
!ssLss-ssLss
|(P8, P5/2) [10]
|Da
|half-5th decatonic
|Fru
|'''ninth-coco-5th'''
|'''Ra'''
|'''Mo'''
|Fa
|Po/Shu
|Sa
|'''Flu'''
|'''Tha'''
|To
|Da
|-
|-
!4th 2L8s
|8L 2s
!sLsss-sLsss
|'''(P8/2, P4/4) [10]'''
|Da
|'''half-8ve quarter-4th decatonic'''
|'''Fru'''
|'''half-8ve quarter-12th'''
|'''Na'''
|Mo
|Fa
|Po/Shu
|'''Sa'''
|'''Lo'''
|Tha
|To
|Da
|-
|-
!5th 2L8s
|9L 1s
!Lssss-Lssss
|(P8, P4/2) [10]
|Da
|quarter-4th decatonic
|'''Ro'''
|
|Na
|}
|Mo
 
|Fa
== #1 (P8, P5) ==
|Po
 
|'''Fla'''
* P = P8, G = P5
|Lo
* EI = vA1 (extended solfege only)
|Tha
 
|To
MOS scales covered:
|Da
 
|}The same solfege can be used for 8L2s, but Sa will be > 3\5 = 720¢.
* 5 = 2L3s (for 3L2s, use P11/4 or P12/4, to avoid Sa > 3\5= 720¢)
* 7 = 5L2s (for 2L5s, perhaps use P11/3 or ccP4/5, to avoid Sa < 4\7 = 686¢)
* 12 = 7L5s or 5L7s (extended solfege only)
 
{| class="wikitable center-all"
{| class="wikitable center-all"
|+10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
|+
'''uniform solfege (-a = plain)'''
| rowspan="2" |
! colspan="13" |genspan
|-
|-
![[Genchain mode numbering|GMN]] name
!-6
!scale
!-5
!1sn
!-4
! colspan="2" |2nd
!-3
! colspan="2" | 3rd
!-2
!4th
!-1
!tritone
!0
!5th
!1
! colspan="2" |6th
!2
! colspan="2" |7th
!3
!8ve
!4
!5
!6
|-
|-
!1st 10L2s
!solfege
!LLLLLs-LLLLLs
|Sha
|Da
|Fra
| Fru
|Fla
| Ra
|Na
| Nu
|Tha
| Ma
|Fa
|'''Fu'''
|'''Da'''
|Shu
|Sa
| Sa
|Ra
|Flu
|La
|La
|Thu
|Ma
|'''Ta'''
|Ta
|Da
|Pa
|-
|-
!2nd 10L2s
!intervals
!LLLLsL-LLLLsL
|d5
|Da
|m2
| Fru
|m6
| Ra
|m3
| Nu
|m7
| '''Ma'''
|P4
|'''Fa'''
|'''P1'''
|Po/Shu
|P5
| Sa
|M2
|Flu
|M6
|La
|M3
|'''Thu'''
|M7
|'''To'''
|A4
|Da
|-
|-
!3rd 10L2s
!notes
!LLLsLL-LLLsLL
|Gb
|Da
|Db
|Fru
|Ab
|Ra
|Eb
|'''Nu'''
|Bb
|'''Mo'''
|F
|Fa
|'''C'''
|Po/Shu
|G
|Sa
|D
|Flu
|A
|'''La'''
|E
|'''Tha'''
|B
|To
|F#
|Da
|}
{| class="wikitable center-all"
|+
'''extended uniform solfege (-a = plain, -u = up = aug, -o = down = dim)'''
| rowspan="2" |
! colspan="24" |genspan
!
|-
|-
!4th 10L2s
!...
!LLsLLL-LLsLLL
!-11
|Da
!-10
|Fru
!-9
|'''Ra'''
!-8
|'''Na'''
!-7
|Mo
!-6
|Fa
!-5
|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
|}
 
 
____________________________________________________________________________________
{| class="wikitable center-all"
|+'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
!-6
!-5
!-4
!-4
!-3
!-3
Line 9,767: Line 9,567:
!5
!5
!6
!6
!7
!8
!9
!10
!11
!...
|-
|-
! rowspan="3" |plain
genchain
!solfege
!solfege
|Sha
| rowspan="3" |...
|Flo
|No
|Tho
|Fo
|Do
|So/Sha
|Fra
|Fra
|Fla
|Fla
Line 9,783: Line 9,593:
|Ma
|Ma
|Ta
|Ta
|Pa
|Pa/Fu
|Du
|Su
|Ru
|Lu
|Mu
| rowspan="3" |...
|-
|-
!intervals
!intervals
|d6
|d3
|d7
|d4
|d8
|d5
|d5
|m2
|m2
Line 9,799: Line 9,620:
|M7
|M7
|A4
|A4
|A1
|A5
|A2
|A6
|A3
|-
|-
!notes
!notes
|Abb
|Ebb
|Bbb
|Fb
|Cb
|Gb
|Gb
|Db
|Db
Line 9,814: Line 9,645:
|B
|B
|F#
|F#
|C#
|G#
|D#
|A#
|E#
|}
{| class="wikitable center-all"
|+
2L3s MOS scales (L = m3, s = M2)
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!0
!1
!2
!3
!4
!5
|-
|-
| colspan="15" |
!1st 2L3s
!ssLsL
!Ionian
|Da
|Ra
|'''Ma'''
|Sa
|La
|Da
|-
!2nd 2L3s
!sLssL
!Mixolydian
|Da
|Ra
|'''Fa'''
|Sa
|'''La'''
|Da
|-
|-
! rowspan="3" |up/down
!3rd 2L3s
 
!sLsLs
genchain
!Dorian
!solfege
|Da
|Du
|'''Ra'''
|Su
|Fa
|Ru
|Sa
|Lu
|'''Tha'''
|Mu
|Da
|Tu
|Pu/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
|-
!intervals
!4th 2L3s
|^1
!LssLs
|^5
!Aolian
|^M2
|Da
|^M6
|'''Na'''
|^M3
|Fa
|^M7
|'''Sa'''
|^A4/vd5
|Tha
|vm2
|Da
|vm6
|vm3
|vm7
|v4
|v8
|-
|-
!notes
!5th 2L3s
|^C
!LsLss
|^G
!Phrygian
|^D
|Da
|^A
|Na
|^E
|Fa
|^B
|'''Fla'''
|^F#/vGb
|Tha
|vDb
|Da
|vAb
|vEb
|vBb
|vF
|vC
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+2L6s MOS scales using solfege #2 (L = m3/vvA3, s = vA1/^m2)
|+
|-
5L2s MOS scales (L = M2, s = m2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
! colspan="2" |scale
!0
!1sn
!1
!2nd
! 2
!3rd
! 3
!4th
! 4
!5th
!5
!6th
!6
!7th
!7
!8ve
!8
|-
|-
!1st 2L6s
!1st 5L2s
!sssL-sssL
!LLLsLLs
!Lydian
|Da
|Da
| Fro
|Ra
| Ra
|Ma
| '''No'''
|'''Pa'''
| Sho
|Sa
| Sa
|La
|Flo
|Ta
|'''La'''
|Da
|Da
|-
|-
!2nd 2L6s
!2nd 5L2s
!ssLs-ssLs
!LLsLLLs
!Ionian
|Da
|Da
| Fro
|Ra
| '''Ra'''
|Ma
| '''Fa'''
|'''Fa'''
| Pu/Sho
|Sa
| Sa
|La
|'''Flo'''
|'''Ta'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 2L6s
!3rd 5L2s
!sLss-sLss
!LLsLLsL
!Mixolydian
|Da
|Da
|'''Fro'''
|Ra
|'''Mu'''
|'''Ma'''
|Fa
|Fa
|Pu/Sho
|Sa
|'''Sa'''
|La
|'''Tha'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!4th 2L6s
!4th 5L2s
!Lsss-Lsss
!LsLLLsL
!Dorian
|Da
|Da
|Ra
|'''Na'''
|'''Na'''
|Mu
|Fa
|Fa
|Pu
|Sa
|'''Lu'''
|'''La'''
|Tha
|Tha
|Tu
|Da
|Da
|}
{| class="wikitable center-all"
|+2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
|-
|-
![[Genchain mode numbering|GMN]] name
!5th 5L2s
!scale
!LsLLsLL
!1sn
!Aolian
!2nd
!
! 3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
!1st 2L8s
!ssssL-ssssL
|Da
| Fro
| Ra
| No
| '''Ma'''
| Sho
|Sa
|Flo
|La
|'''Tho'''
|Da
|Da
|-
!2nd 2L8s
!sssLs-sssLs
|Da
| Fro
| Ra
| '''No'''
| '''Fa'''
| Pu/Sho
|Sa
|Flo
|'''La'''
|'''Tu'''
|Da
|-
!3rd 2L8s
!ssLss-ssLss
|Da
|Fro
|'''Ra'''
|'''Ra'''
|'''Mu'''
|Na
|Fa
|Fa
|Pu/Sho
|Sa
|Sa
|'''Flo'''
|'''Fla'''
|'''Tha'''
|Tha
|Tu
|Da
|Da
|-
|-
!4th 2L8s
!6th 5L2s
!sLsss-sLsss
!sLLLsLL
!Phrygian
|Da
|Da
|'''Fro'''
|'''Fra'''
|'''Na'''
|Na
|Mu
|Fa
|Fa
|Pu/Sho
|'''Sa'''
|'''Sa'''
|'''Lu'''
|Fla
|Tha
|Tha
|Tu
|Da
|Da
|-
|-
!5th 2L8s
!7th 5L2s
!Lssss-Lssss
!sLLsLLL
!Locrian
|Da
|Da
|'''Ru'''
|Fra
|Na
|Na
|Mu
|Fa
|Fa
|Pu
|'''Sha'''
|'''Fla'''
|Fla
|Lu
|Tha
|Tha
|Tu
|Da
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
|+
|-
5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!0
! colspan="2" |2nd
!1
! colspan="2" | 3rd
!2
!4th
!3
!tritone
!4
!5th
!5
! colspan="2" |6th
!6
! colspan="2" |7th
!7
!8ve
!8
!9
!10
!11
!12
|-
|-
!1st 2L10s
!1st 5L7s
!sssssL-sssssL
!LsLsLssLsLss
|Da
|Da
| Fro
|Du
| Ra
|Ra
| No
|Ru
| Ma
|Ma
|'''Fo'''
|'''Mu'''
|Pu/Sho
|Pa/Fu
| Sa
|Sa
|Flo
|Su
|La
|La
|Tho
|Lu
|'''Ta'''
|Ta
|Da
|Da
|-
|-
!2nd 2L10s
!2nd 5L7s
!ssssLs-ssssLs
!LsLssLsLsLss
|Da
|Da
| Fro
|Du
| Ra
|Ra
| No
|Ru
| '''Ma'''
|Ma
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Pa/Fu
| Sa
|Sa
|Flo
|Su
|La
|La
|'''Tho'''
|'''Lu'''
|'''Tu'''
|Ta
|Da
|Da
|-
|-
!3rd 2L10s
!3rd 5L7s
!sssLss-sssLss
!LsLssLsLssLs
|Da
|Da
|Fro
|Du
|Ra
|Ra
|'''No'''
|'''Ru'''
|'''Mu'''
|Ma
|Fa
|Fa
|Pu/Sho
|Pa/Fu
|Sa
|Sa
|Flo
|Su
|'''La'''
|La
|'''Tha'''
|'''Tha'''
|Tu
|Ta
|Da
|Da
|-
|-
!4th 2L10s
!4th 5L7s
!ssLsss-ssLsss
!LssLsLsLssLs
|Da
|Da
|Fro
|Du
|'''Ra'''
|Ra
|'''Na'''
|'''Na'''
|Mu
|Ma
|Fa
|Fa
|Pu/Sho
|Pa/Fu
|Sa
|Sa
|'''Flo'''
|'''Su'''
|'''Lu'''
|La
|Tha
|Tha
|Tu
|Ta
|Da
|Da
|-
|-
!5th 2L10s
!5th 5L7s
!sLssss-sLssss
!LssLsLssLsLs
|Da
|Da
|'''Fro'''
|'''Du'''
|'''Ru'''
|Ra
|Na
|Na
|Mu
|Ma
|Fa
|Fa
|Pu/Sho
|Pa/Fu
|'''Sa'''
|Sa
|'''Fla'''
|'''Fla'''
|Lu
|La
|Tha
|Tha
|Tu
|Ta
|Da
|Da
|-
|-
!6th 2L10s
!6th 5L7s
!Lsssss-Lsssss
!sLsLsLssLsLs
|Da
|Da
|'''Fra'''
|'''Fra'''
|Ru
|Ra
|Na
|Na
|Mu
|Ma
|Fa
|Fa
|Pu/Sho
|'''Pa'''
|'''Su'''
|Sa
|Fla
|Fla
|Lu
|La
|Tha
|Tha
|Tu
|Ta
|Da
|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
!7th 5L7s
!scale
!sLsLssLsLsLs
!1sn
!
! 2nd
!
! 3rd
!
!4th
!
!5th
!
!6th
!
!7th
!
!8ve
|-
!1st 12L2s
!LLLLLLs-LLLLLLs
|Da
|Da
| Fro
|Fra
| Ra
|Ra
| No
|Na
| Ma
|Ma
|Fo
|Fa
|'''Pa'''
|'''Sha'''
| Pu/Sho
|Sa
|Sa
|Flo
|Fla
|La
|La
|Tho
|Tha
|Ta
|'''Do'''
|Da
|-
!2nd 12L2s
!LLLLLsL-LLLLLsL
|Da
| Fro
| Ra
| No
| Ma
|'''Fo'''
|'''Fa'''
| Pu/Sho
|Sa
|Flo
|La
|Tho
|'''Ta'''
|'''Ta'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 12L2s
!8th 5L7s
!LLLLsLL-LLLLsLL
!sLsLssLsLssL
|Da
|Da
|Fro
|Fra
|Ra
|Ra
|No
|Na
|'''Ma'''
|'''Ma'''
|'''Mu'''
|Fa
|Fa
|Pu/Sho
|Sha/So
|Sa
|Sa
|Flo
|Fla
|La
|La
|'''Tho'''
|Tha
|'''Tha'''
|'''Do'''
|Tu
|Da
|Da
|-
|-
!4th 12L2s
!9th 5L7s
!LLLsLLL-LLLsLLL
!sLssLsLsLssL
|Da
|Da
|Fro
|Fra
|Ra
|Ra
|'''No'''
|Na
|'''Na'''
|'''Fo'''
|Mu
|Fa
|Fa
|Pu/Sho
|Sha/So
|Sa
|Sa
|Flo
|Fla
|'''La'''
|'''La'''
|'''Lu'''
|Tha
|Tha
|Tu
|Do
|Da
|Da
|-
|-
!5th 12L2s
!10th 5L7s
!LLsLLLL-LLsLLLL
!sLssLsLssLsL
|Da
|Da
|Fro
|Fra
|'''Ra'''
|'''Ra'''
|'''Ru'''
|Na
|Na
|Mu
|Fo
|Fa
|Fa
|Pu/Sho
|Sha/So
|Sa
|Sa
|'''Flo'''
|Fla
|'''Fla'''
|'''Tho'''
|Lu
|Tha
|Tha
|Tu
|Do
|Da
|Da
|-
|-
!6th 12L2s
!11th 5L7s
!LsLLLLL-LsLLLLL
!ssLsLsLssLsL
|Da
|Da
|'''Fro'''
|Fra
|'''Fra'''
|'''No'''
|Ru
|Na
|Na
|Mu
|Fo
|Fa
|Fa
|Pu/Sho
|Sha/So
|'''Sa'''
|'''Sa'''
|'''Su'''
|Fla
|Fla
|Lu
|Tho
|Tha
|Tha
|Tu
|Do
|Da
|Da
|-
|-
!7th 12L2s
!12th 5L7s
!sLLLLLL-sLLLLLL
!ssLsLssLsLsL
|Da
|Da
|'''Du'''
|Fra
|Fra
|Ru
|No
|Na
|Na
|Mu
|Fo
|Fa
|Fa
|Pu/Sho
|Sha/So
|'''Sha'''
|'''Flo'''
|Su
|Fla
|Fla
|Lu
|Tho
|Tha
|Tha
|Tu
|Do
|Da
|Da
|}
|}
The sequence of scales starts off with 6 sharps and ends with 7 flats and 3 double-flats:


== #3 (P8, P4/2) ==
* 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
* etc.
 
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) ==
There are two solfeges, choose depending on the size of the 5th.


* G = ^M2/vm3
* P = vA4/^d5 (#1 solfege) '''or''' ^A4/vd5 (#2 solfege)
* EI = vvm2
* G = P5
* EI = ^^d2 (#1 solfege) '''or''' vvd2 (#2 solfege)


MOS scales covered:  
MOS scales covered:


* 5 = 4L1s (for 1L4s use pergen #8, third-5th)  
* 8 = 2L6s or 6L2s (#1 solfege only, Sa > 5\8 = 750¢)
* 9 = 5L4s or 4L5s (Sa < 5\9 = 667¢)
* 10 = 2L8s or 8L2s (#1 solfege only, Sa > 3\5 = 720¢)
* 14 = 9L5s or 5L9s (Sa < 4\7 = 686¢)
* 12 = 10L2s (#1 solfege only) or 2L10s (#2 solfege only)
* 14 = 12L2s (#2 solfege only)
* scales of 6 or fewer notes are subsets of these


{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''uniform solfege (-a = plain, -u = up, -o = down)'''
|+
| rowspan="2" |
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
! colspan="27" |genspan
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
|-
!13
!-6
!12
!-5
!11
!-4
!10
!-3
!9
!-2
!8
!-1
!7
!0
!1
!2
!3
!4
!5
!6
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
! rowspan="3" |plain
genchain
!solfege
!solfege
|Flu
|Sha
|Sha
|Nu
|Fra
|Fra
|Thu
|Fla
|Fla
|Fu
Sho
|Na
|Na
|Du
Fro
|Tha
|Tha
|Su
Flo
|Fa
|Fa
|Ru
No
|'''Da'''
|'''Da'''
|Lu
Tho
|Sa
|Sa
|Mu
Fo
|Ra
|Ra
|Tu
Do
|La
|La
|Pu
So
|Ma
|Ma
|Ro
|Ta
|Ta
|Lo
|Pa
|Pa
|Mo
|-
|-
!intervals
!intervals
|^m6
|d5
|d5
|^m3
|m2
|m2
|^m7
|m6
|m6
|^4
vd5
|m3
|m3
|^1
vm2
|m7
|m7
|^5
vm6
|P4
|P4
|^M2
vm3
|'''P1'''
|'''P1'''
|^M6
vm7
|P5
|P5
|^M3
v4
|M2
|M2
|^M7
v8
|M6
|M6
|^A4
v5
|M3
|M3
|vM2
|M7
|M7
|vM6
|A4
|A4
|vM3
|-
|-
!notes
!notes
|^Ab
|Gb
|Gb
|^Eb
|Db
|Db
|^Bb
|Ab
|Ab
|^F
vGb
|Eb
|Eb
|^C
vDb
|Bb
|Bb
|^G
vAb
|F
|F
|^D
vEb
|'''C'''
|'''C'''
|^A
vBb
|G
|G
|^E
vF
|D
|D
|^B
vC
|A
|A
|^F#
vG
|E
|E
|vD
|B
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up/down
genchain
!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
|vA
|F#
|vE
|vE
|vB
|vF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)
|+
|-
2L6s MOS scales using solfege #1 (L = m3/vvA3, s = vA1/^m2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!0
!1
!1
! 2
!2
! 3
!3
! 4
!4
!5
!5
!6
!7
!8
|-
|-
!1st 4L1s
!1st 2L6s
!LLLLs
!sssL-sssL
|Da
|Da
| Ru/No
|Fru
| Fa
|Ra
| Su/Flo
|'''Nu'''
| '''Tha'''
|Shu
|Da
|Sa
|-
|Flu
!2nd 4L1s
|'''La'''
!LLLsL
|Da
| Ru/No
| Fa
| '''Su/Flo'''
| '''Lu/Tho'''
|Da
|Da
|-
|-
!3rd 4L1s
!2nd 2L6s
!LLsLL
!ssLs-ssLs
|Da
|Da
|Ru/No
|Fru
|'''Ra'''
|'''Fa'''
|'''Fa'''
|'''Sa'''
|Po/Shu
|Lu/Tho
|Sa
|'''Flu'''
|'''To'''
|Da
|Da
|-
|-
!4th 4L1s
!3rd 2L6s
!LsLLL
!sLss-sLss
|Da
|Da
|'''Ru/No'''
|'''Fru'''
|'''Mu/Fo'''
|'''Mo'''
|Sa
|Fa
|Lu/Tho
|Po/Shu
|'''Sa'''
|'''Tha'''
|To
|Da
|Da
|-
|-
!5th 4L1s
!4th 2L6s
!sLLLL
!Lsss-Lsss
|Da
|Da
|'''Ra'''
|'''Na'''
|Mu/Fo
|Mo
|Sa
|Fa
|Lu/Tho
|Po
|'''Lo'''
|Tha
|To
|Da
|Da
|}
|}
The same solfege can be used for 6L2s, but Sa will be > 5\8 = 750¢.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
|+
|-
2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!1sn
!1
!2nd
! 2
!
! 3
!3rd
! 4
!
!5
!tritone
!6
!
!7
!6th
!8
!
!9
!7th
!8ve
|-
|-
!1st 5L4s
!1st 2L8s
!sLsLsLsLL
!ssssL-ssssL
|Da
|Fru
|Ra
|Nu
|'''Ma'''
|Shu
|Sa
|Flu
|La
|'''Thu'''
|Da
|-
!2nd 2L8s
!sssLs-sssLs
|Da
|Da
| Du/Fro
|Fru
| Ru/No
|Ra
| Na
|'''Nu'''
| Fa
|'''Fa'''
|Fu/Sho
|Po/Shu
|Su/Flo
|Sa
|'''Fla'''
|Flu
|Tha
|'''La'''
|'''To'''
|Da
|Da
|-
|-
!2nd 5L4s
!3rd 2L8s
!sLsLsLLsL
!ssLss-ssLss
|Da
|Da
| Du/Fro
|Fru
| Ru/No
|'''Ra'''
| Na
|'''Mo'''
| Fa
|Fa
|'''Fu/Sho'''
|Po/Shu
|Su/Flo
|Sa
|'''Lu/Tho'''
|'''Flu'''
|Tha
|'''Tha'''
|To
|Da
|Da
|-
|-
!3rd 5L4s
!4th 2L8s
!sLsLLsLsL
!sLsss-sLsss
|Da
|Da
|Du/Fro
|'''Fru'''
|Ru/No
|'''Na'''
|'''Na'''
|Mo
|Fa
|Fa
|Po/Shu
|'''Sa'''
|'''Sa'''
|Su/Flo
|'''Lo'''
|Lu/Tho
|Tha
|Tha
|To
|Da
|Da
|-
|-
!4th 5L4s
!5th 2L8s
!sLLsLsLsL
!Lssss-Lssss
|Da
|Da
|'''Du/Fro'''
|'''Ro'''
|Ru/No
|Na
|'''Mu/Fo'''
|Mo
|Fa
|Fa
|Sa
|Po
|Su/Flo
|'''Fla'''
|Lu/Tho
|Lo
|Tha
|Tha
|To
|Da
|Da
|}
The same solfege can be used for 8L2s, but Sa will be > 3\5 = 720¢.
{| 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" |2nd
! colspan="2" |3rd
!4th
!tritone
!5th
! colspan="2" |6th
! colspan="2" |7th
!8ve
|-
|-
!5th 5L4s
!1st 10L2s
!LsLsLsLsL
!LLLLLs-LLLLLs
|Da
|Da
|'''Ra'''
|Fru
|Ru/No
|Ra
|Mu/Fo
|Nu
|Fa
|Ma
|'''Fu'''
|Shu
|Sa
|Sa
|Su/Flo
|Flu
|Lu/Tho
|La
|'''Tha'''
|Thu
|'''Ta'''
|Da
|Da
|-
|-
!6th 5L4s
!2nd 10L2s
!LsLsLsLLs
!LLLLsL-LLLLsL
|Da
|Da
|Fru
|Ra
|Ra
|Ru/No
|Nu
|Mu/Fo
|'''Ma'''
|Fa
|'''Fa'''
|Po/Shu
|Sa
|Sa
|'''Su/Flo'''
|Flu
|Lu/Tho
|La
|'''Tu/Do'''
|'''Thu'''
|'''To'''
|Da
|Da
|-
|-
!7th 5L4s
!3rd 10L2s
!LsLsLLsLs
!LLLsLL-LLLsLL
|Da
|Da
|Fru
|Ra
|Ra
|Ru/No
|'''Nu'''
|Mu/Fo
|'''Mo'''
|'''Fa'''
|Fa
|Po/Shu
|Sa
|Sa
|Flu
|'''La'''
|'''La'''
|Lu/Tho
|'''Tha'''
|Tu/Do
|To
|Da
|Da
|-
|-
!8th 5L4s
!4th 10L2s
!LsLLsLsLs
!LLsLLL-LLsLLL
|Da
|Da
|Ra
|Fru
|'''Ru/No'''
|'''Ra'''
|Mu/Fo
|'''Na'''
|'''Pu/So'''
|Mo
|Fa
|Po/Shu
|Sa
|Sa
|La
|'''Flu'''
|Lu/Tho
|'''Lo'''
|Tu/Do
|Tha
|To
|Da
|Da
|-
|-
!9th 5L4s
!5th 10L2s
!LLsLsLsLs
!LsLLLL-LsLLLL
|Da
|'''Fru'''
|'''Ro'''
|Na
|Mo
|Fa
|Po/Shu
|'''Sa'''
|'''Fla'''
|Lo
|Tha
|To
|Da
|Da
|Ra
|-
|'''Ma'''
!6th 10L2s
|Mu/Fo
!sLLLLL-sLLLLL
|Pu/So
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|Da
|}
|'''Fra'''
The same solfege can be used for 4L5s, but Sa will be < 5\9 = 667¢.
|Ro
 
|Na
A similar table can be made for 5L9s. The same solfege can be used for 9L5s, but Sa will be < 4\7 = 686¢.
|Mo
 
|Fa
== #4 (P8, P5/2) ==
|Po
 
|'''So'''
* G = ^m3/vM3 = ~3
|Fla
* EI = vvA1
|Lo
 
|Tha
MOS scales covered:
|To
 
|Da
* 7 = 3L4s or 4L3s (Sa < 4\7 = 686¢)
|}
* 10 = 7L3s or 3L7s (Sa > 3\5 = 720¢)
↵____________________________________________________________________________________
* 13 = 10L3s (Sa > 3\5 = 720¢) or 3L10s (Sa > 8\13)
 
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''uniform solfege (-a = plain, -u = up, -o = down, -i = mid)'''
|+
| rowspan="2" |
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
! colspan="27" |genspan
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
|-
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-6
!-5
!-5
Line 10,659: Line 10,449:
!5
!5
!6
!6
!7
!8
!9
!10
!11
!12
!13
|-
|-
! rowspan="3" |plain
genchain
!solfege
!solfege
|No
|Sha
|Sha
|Tho
|Fra
|Fra
|Fo
|Fla
|Fla
|Do
|Na
|Na
|Si
|Tha
|Tha
|Ri
|Fa
|Fa
|Li
|'''Da'''
|'''Da'''
|Mi
|Sa
|Sa
|Ti
|Ra
|Ra
|Fi
|La
|La
|Du
|Ma
|Ma
|Su
|Ta
|Ta
|Ru
|Pa
|Pa
|Lu
|-
|-
!intervals
!intervals
|vm3
|d5
|d5
|vm7
|m2
|m2
|v4
|m6
|m6
|v8
|m3
|m3
|~5
|m7
|m7
|~2
|P4
|P4
|~6
|'''P1'''
|'''P1'''
|~3
|P5
|P5
|~7
|M2
|M2
|~4
|M6
|M6
|^1
|M3
|M3
|^5
|M7
|M7
|^M2
|A4
|A4
|^M6
|-
|-
!notes
!notes
|vEb
|Gb
|Gb
|vBb
|Db
|Db
|vF
|Ab
|Ab
|vC
|Eb
|Eb
|^Gb
vG
|Bb
|Bb
|^Db
vD
|F
|F
|^Ab
vA
|'''C'''
|'''C'''
|^Eb
vE
|G
|G
|^Bb
vB
|D
|D
|^F
vF#
|A
|A
|^C
|E
|E
|^G
|B
|B
|^D
|F#
|F#
|^A
|}
{| class="wikitable center-all"
|+3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
|-
|-
![[Genchain mode numbering|GMN]] name
| colspan="15" |
!scale
!1sn
!2nd
! 3rd
! 4th
! 5th
!6th
!7th
!8ve
|-
|-
!1st 3L4s
! rowspan="3" |up/down
!LsLsLss
 
|Da
genchain
| Ra
!solfege
| Mi
|Du
| Fi
|Su
| Sa
|Ru
|'''La'''
|Lu
|Ti
|Mu
|Da
|Tu
|Pu/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
|-
!2nd 3L4s
!intervals
!LsLssLs
|^1
|Da
|^5
| Ra
|^M2
| Mi
|^M6
| '''Fi'''
|^M3
| Sa
|^M7
|'''Li'''
|^A4/vd5
|Ti
|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"
|+
2L6s MOS scales using solfege #2 (L = m3/vvA3, s = vA1/^m2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
!1st 2L6s
!sssL-sssL
|Da
|Fro
|Ra
|'''No'''
|Sho
|Sa
|Flo
|'''La'''
|Da
|Da
|-
|-
!3rd 3L4s
!2nd 2L6s
!LssLsLs
!ssLs-ssLs
|Da
|Da
|Fro
|'''Ra'''
|'''Ra'''
|Mi
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Sa
|Sa
|Li
|'''Flo'''
|Ti
|'''Tu'''
|Da
|Da
|-
|-
!4th 3L4s
!3rd 2L6s
!sLsLsLs
!sLss-sLss
|Da
|Da
|'''Ri'''
|'''Fro'''
|Mi
|'''Mu'''
|Fa
|Sa
|Li
|'''Ti'''
|Da
|-
!5th 3L4s
!sLsLssL
|Da
|Ri
|Mi
|Fa
|Fa
|Pu/Sho
|'''Sa'''
|'''Sa'''
|Li
|'''Tha'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!6th 3L4s
!4th 2L6s
!sLssLsL
!Lsss-Lsss
|Da
|Da
|Ri
|'''Mi'''
|Fa
|'''Si'''
|Li
|Tha
|Da
|-
!7th 3L4s
!ssLsLsL
|Da
|Ri
|'''Na'''
|'''Na'''
|Mu
|Fa
|Fa
|Si
|Pu
|Li
|'''Lu'''
|Tha
|Tha
|Tu
|Da
|Da
|}
|}
Similar tables can be made for every mode of 7L3s, 10L3s or 3L10s
== #5 (P8/2, P4/2) ==
== #6 (P8/3, P5) ==
== #7 (P8, P4/3) ==
* G = vM2/^^m2 = ^~2
* EI = v<sup>3</sup>A1
MOS scales covered:
* 7 = 1L6s (for 6L1s use quarter-5th)
* 8 = 6L1s or 1L6s
* 15 = 7L8s (all but 2 modes)
* scales of 6 or fewer notes are subsets of these
{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''uniform solfege (-a = plain, -u = up, -o = down)'''
|+
| rowspan="2" |
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
! colspan="27" |genspan
![[Genchain mode numbering|GMN]] name
|-
!scale
!13
!1sn
!12
!2nd
!11
!
!10
!3rd
!9
!
!8
!tritone
!7
!
!6
!6th
!5
!
!4
!7th
!3
!8ve
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
!solfege
!1st 2L8s
|Tho
!ssssL-ssssL
|Fla
|Da
|Shu
|Fro
|Fo
|Ra
|Na
|No
|Fru
|'''Ma'''
|Do
|Sho
|Tha
|Flu
|So
|Fa
|Nu
|Ro
|'''Da'''
|Thu
|Lo
|Sa
|Sa
|Fu
|Flo
|Mo
|Ra
|Du
|To
|La
|La
|Su
|'''Tho'''
|Po
|Da
|Ma
|Ru
|-
|-
!intervals
!2nd 2L8s
|vm7
!sssLs-sssLs
|m6
|Da
|^d5
|Fro
|v4
|Ra
|m3
|'''No'''
|^m2
|'''Fa'''
|v8
|Pu/Sho
|m7
|Sa
|^m6
|Flo
|v5
|'''La'''
|P4
|'''Tu'''
|^m3
|Da
|vM2
|'''P1'''
|^m7
|vM6
|P5
|^4
|vM3
|M2
|^1
|vM7
|M6
|^5
|vA4
|M3
|^M2
|-
|-
!notes
!3rd 2L8s
|vBb
!ssLss-ssLss
|Ab
|Da
|^Gb
|Fro
|vF
|'''Ra'''
|Eb
|'''Mu'''
|^Db
|Fa
|vC
|Pu/Sho
|Bb
|Sa
|^Ab
|'''Flo'''
|vG
|'''Tha'''
|F
|Tu
|^Eb
|Da
|vD
|-
|'''C'''
!4th 2L8s
|^Bb
!sLsss-sLsss
|vA
|Da
|G
|'''Fro'''
|^F
|'''Na'''
|vE
|Mu
|D
|Fa
|^C
|Pu/Sho
|vB
|'''Sa'''
|A
|'''Lu'''
|^G
|Tha
|vF#
|Tu
|E
|Da
|^D
|-
!5th 2L8s
!Lssss-Lssss
|Da
|'''Ru'''
|Na
|Mu
|Fa
|Pu
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
|+
|-
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!1sn
!2nd
! colspan="2" |2nd
! 3rd
! colspan="2" |3rd
! 4th
!4th
! 5th
!tritone
!6th
!5th
!7th
! colspan="2" |6th
! colspan="2" |7th
!8ve
!8ve
|-
|-
!1st 1L6s
!1st 2L10s
!ssssssL
!sssssL-sssssL
|Da
|Da
| Ro
|Fro
| Nu
|Ra
| Fa
|No
| So
|Ma
|Flu
|'''Fo'''
|'''Tha'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|'''Ta'''
|Da
|Da
|-
|-
!2nd 1L6s
!2nd 2L10s
!sssssLs
!ssssLs-ssssLs
|Da
|Da
| Ro
|Fro
| Nu
|Ra
| Fa
|No
| So
|'''Ma'''
|'''Flu'''
|'''Fa'''
|'''Thu'''
|Pu/Sho
|Sa
|Flo
|La
|'''Tho'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 1L6s
!3rd 2L10s
!ssssLss
!sssLss-sssLss
|Da
|Da
|Ro
|Fro
|Nu
|Ra
|'''No'''
|'''Mu'''
|Fa
|Fa
|'''So'''
|Pu/Sho
|'''Lo'''
|Sa
|Thu
|Flo
|'''La'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!4th 1L6s
!4th 2L10s
!sssLsss
!ssLsss-ssLsss
|Da
|Da
|Ro
|Fro
|Nu
|'''Ra'''
|'''Fa'''
|'''Na'''
|'''Sa'''
|Mu
|Lo
|Fa
|Thu
|Pu/Sho
|Sa
|'''Flo'''
|'''Lu'''
|Tha
|Tu
|Da
|Da
|-
|-
!5th 1L6s
!5th 2L10s
!ssLssss
!sLssss-sLssss
|Da
|Da
|Ro
|'''Fro'''
|'''Nu'''
|'''Ru'''
|'''Fu'''
|Na
|Sa
|Mu
|Lo
|Fa
|Thu
|Pu/Sho
|'''Sa'''
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!6th 1L6s
!6th 2L10s
!sLsssss
!Lsssss-Lsssss
|Da
|Da
|'''Ro'''
|'''Fra'''
|'''Mo'''
|Ru
|Fu
|Na
|Sa
|Mu
|Lo
|Fa
|Thu
|Pu/Sho
|Da
|'''Su'''
|-
|Fla
!7th 1L6s
|Lu
!Lssssss
|Tha
|Da
|Tu
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)
|+
|-
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
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!1sn
!1
!
! 2
!2nd
! 3
!
! 4
!3rd
!5
!
!6
!4th
!7
!
!8
!5th
!
!6th
!
!7th
!
!8ve
|-
|-
!1st 7L1s
!1st 12L2s
!LLLLLLLs
!LLLLLLs-LLLLLLs
|Da
|Da
| Ro
|Fro
| Nu
|Ra
| Fa
|No
| So
|Ma
|Flu
|Fo
|Tha
|'''Pa'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|Ta
|'''Do'''
|'''Do'''
|Da
|Da
|-
|-
!2nd 7L1s
!2nd 12L2s
!LLLLLLsL
!LLLLLsL-LLLLLsL
|Da
|Da
| Ro
|Fro
| Nu
|Ra
| Fa
|No
| So
|Ma
|Flu
|'''Fo'''
|'''Tha'''
|'''Fa'''
|'''Thu'''
|Pu/Sho
|Sa
|Flo
|La
|Tho
|'''Ta'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 7L1s
!3rd 12L2s
!LLLLLsLL
!LLLLsLL-LLLLsLL
|Da
|Da
|Ro
|Fro
|Nu
|Ra
|No
|'''Ma'''
|'''Mu'''
|Fa
|Fa
|So
|Pu/Sho
|'''Flu'''
|Sa
|'''Lo'''
|Flo
|Thu
|La
|'''Tho'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!4th 7L1s
!4th 12L2s
!LLLLsLLL
!LLLsLLL-LLLsLLL
|Da
|Da
|Ro
|Fro
|Nu
|Ra
|'''No'''
|'''Na'''
|Mu
|Fa
|Fa
|'''So'''
|Pu/Sho
|'''Sa'''
|Lo
|Thu
|Da
|-
!5th 7L1s
!LLLsLLLL
|Da
|Ro
|Nu
|'''Fa'''
|'''Fu'''
|Sa
|Sa
|Lo
|Flo
|Thu
|'''La'''
|'''Lu'''
|Tha
|Tu
|Da
|Da
|-
|-
!6th 7L1s
!5th 12L2s
!LLsLLLLL
!LLsLLLL-LLsLLLL
|Da
|Da
|Ro
|Fro
|'''Nu'''
|'''Ra'''
|'''Mo'''
|'''Ru'''
|Fu
|Na
|Mu
|Fa
|Pu/Sho
|Sa
|Sa
|Lo
|'''Flo'''
|Thu
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!7th 7L1s
!6th 12L2s
!LsLLLLLL
!LsLLLLL-LsLLLLL
|Da
|Da
|'''Ro'''
|'''Fro'''
|'''Ra'''
|'''Fra'''
|Mo
|Ru
|Fu
|Na
|Sa
|Mu
|Lo
|Fa
|Thu
|Pu/Sho
|'''Sa'''
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!8th 7L1s
!7th 12L2s
!sLLLLLLL
!sLLLLLL-sLLLLLL
|Da
|Da
|'''Du'''
|'''Du'''
|Ra
|Fra
|Mo
|Ru
|Fu
|Na
|Sa
|Mu
|Lo
|Fa
|Thu
|Pu/Sho
|'''Sha'''
|Su
|Fla
|Lu
|Tha
|Tu
|Da
|Da
|}
|}
A similar table can be made for 7L8s, but it will lack the 1st and 15th modes.


== #8 (P8, P5/3) ==
== #3 (P8, P4/2) ==


* G = ^M2/vvm3
* G = ^M2/vm3
* EI = v<sup>3</sup>m2
* EI = vvm2


MOS scales covered:  
MOS scales covered:


* 5 = 1L4s (for 4L1s use pergen #3, half-4th)
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 6 = 5L1s
* 9 = 5L4s or 4L5s (Sa < 5\9 = 667¢)
* 11 = 5L6s
* 14 = 9L5s or 5L9s (Sa < 4\7 = 686¢)
* 16 = 5L11s


{| class="wikitable center-all"
{| class="wikitable center-all"
|+'''uniform solfege (-a = plain, -u = up, -o = down)'''
|+
! colspan="31" |genspan
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| rowspan="2" |
! colspan="27" |genspan
|-
|-
!-15
!13
!-14
!12
!-13
!11
!-12
!10
!-11
!9
!-10
!8
!-9
!7
!-8
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-7
!-6
!-8
!-5
!-9
!-4
!-10
!-3
!-11
!-2
!-12
!-1
!-13
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|-
!solfege
|Flu
|Sha
|Nu
|Fra
|Fra
|Nu
|Thu
|Sho
|Fla
|Fla
|Thu
|Fu
|Fro
 
Sho
|Na
|Na
|Fu
|Du
|Flo
 
Fro
|Tha
|Tha
|Du
|Su
|No
 
Flo
|Fa
|Fa
|Su
|Tho
|'''Da'''
|Ru
|Ru
|Fo
 
No
|'''Da'''
|Lu
 
Tho
|Sa
|Sa
|Lu
|Mu
|Do
 
Fo
|Ra
|Ra
|Mu
|Tu
|So
 
Do
|La
|La
|Tu
|Pu
 
So
|Ma
|Ro
|Ro
|Ma
|Ta
|Pu
|Lo
|Lo
|Ta
|Pa
|Mo
|-
|-
!intervals
|^m6
|d5
|^m3
|m2
|m2
|^m3
|^m7
|vd5
|m6
|m6
|^m7
|^4
|vm2
 
vd5
|m3
|m3
|^4
|^1
|vm6
 
vm2
|m7
|m7
|^1
|^5
|vm3
 
vm6
|P4
|P4
|^5
|^M2
|vm7
 
vm3
|'''P1'''
|'''P1'''
|^M2
|^M6
|v4
 
vm7
|P5
|P5
|^M6
|^M3
|v8
 
v4
|M2
|M2
|^M3
|v5
|M6
|^M7
|^M7
v8
|M6
|^A4
v5
|M3
|vM2
|vM2
|M3
|M7
|^A4
|vM6
|vM6
|M7
|A4
|vM3
|-
|-
!notes
|^Ab
|Gb
|^Eb
|Db
|Db
|^Eb
|^Bb
|vGb
|Ab
|Ab
|^Bb
|^F
|vDb
 
vGb
|Eb
|Eb
|^F
|^C
|vAb
 
vDb
|Bb
|Bb
|^C
|^G
|vEb
 
vAb
|F
|F
|^G
|^D
|vBb
 
vEb
|'''C'''
|'''C'''
|^D
|^A
|vF
 
vBb
|G
|G
|^A
|^E
|vC
 
vF
|D
|D
|^E
|^B
|vG
 
vC
|A
|A
|^B
|^F#
 
vG
|E
|vD
|vD
|E
|B
|^F#
|vA
|vA
|B
|F#
|vE
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+1L4s MOS scales (L = ^^M2/vm3, s = ^M2/vvm3)
|+
|-
4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!0
!1
!1
! 2
!2
! 3
!3
! 4
!4
!5
!5
|-
|-
!1st 1L4s
!1st 4L1s
!ssssL
!LLLLs
|Da
|Da
| Ru
|Ru/No
| Fo
|Fa
| Sa
|Su/Flo
| '''Lu'''
|'''Tha'''
|Da
|Da
|-
|-
!2nd 1L4s
!2nd 4L1s
!sssLs
!LLLsL
|Da
|Da
| Ru
|Ru/No
| Fo
|Fa
| '''Sa'''
|'''Su/Flo'''
| '''Tho'''
|'''Lu/Tho'''
|Da
|Da
|-
|-
!3rd 1L4s
!3rd 4L1s
!ssLss
!LLsLL
|Da
|Da
|Ru
|Ru/No
|'''Fo'''
|'''Fa'''
|'''Su'''
|'''Sa'''
|Tho
|Lu/Tho
|Da
|Da
|-
|-
!4th 1L4s
!4th 4L1s
!sLsss
!LsLLL
|Da
|Da
|'''Ru'''
|'''Ru/No'''
|'''Fa'''
|'''Mu/Fo'''
|Su
|Sa
|Tho
|Lu/Tho
|Da
|Da
|-
|-
!5th 1L4s
!5th 4L1s
!Lssss
!sLLLL
|Da
|Da
|'''No'''
|'''Ra'''
|Fa
|Mu/Fo
|Su
|Sa
|Tho
|Lu/Tho
|Da
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
|+
|-
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!0
!1
!1
! 2
!2
! 3
!3
! 4
!4
!5
!5
!6
!6
!7
!8
!9
|-
|-
!1st 5L1s
!1st 5L4s
!LLLLLs
!sLsLsLsLL
|Da
|Da
| Ru
|Du/Fro
| Fo
|Ru/No
| Sa
|Na
| Lu
|Fa
|'''Do'''
|Fu/Sho
|Su/Flo
|'''Fla'''
|Tha
|Da
|Da
|-
|-
!2nd 5L1s
!2nd 5L4s
!LLLLsL
!sLsLsLLsL
|Da
|Da
| Ru
|Du/Fro
| Fo
|Ru/No
| Sa
|Na
| '''Lu'''
|Fa
|'''Tho'''
|'''Fu/Sho'''
|Su/Flo
|'''Lu/Tho'''
|Tha
|Da
|Da
|-
|-
!3rd 5L1s
!3rd 5L4s
!LLLsLL
!sLsLLsLsL
|Da
|Da
|Ru
|Du/Fro
|Fo
|Ru/No
|'''Na'''
|Fa
|'''Sa'''
|'''Sa'''
|'''Su'''
|Su/Flo
|Tho
|Lu/Tho
|Tha
|Da
|Da
|-
|-
!4th 5L1s
!4th 5L4s
!LLsLLL
!sLLsLsLsL
|Da
|Da
|Ru
|'''Du/Fro'''
|'''Fo'''
|Ru/No
|'''Fa'''
|'''Mu/Fo'''
|Su
|Fa
|Tho
|Sa
|Su/Flo
|Lu/Tho
|Tha
|Da
|Da
|-
|-
!5th 5L1s
!5th 5L4s
!LsLLLL
!LsLsLsLsL
|Da
|Da
|'''Ru'''
|'''Ra'''
|'''No'''
|Ru/No
|Mu/Fo
|Fa
|Fa
|Su
|Sa
|Tho
|Su/Flo
|Da
|Lu/Tho
|'''Tha'''
|Da
|-
|-
!6th 5L1s
!6th 5L4s
!sLLLLL
!LsLsLsLLs
|Da
|Da
|'''Du'''
|Ra
|No
|Ru/No
|Mu/Fo
|Fa
|Fa
|Su
|Sa
|Tho
|'''Su/Flo'''
|Lu/Tho
|'''Tu/Do'''
|Da
|-
!7th 5L4s
!LsLsLLsLs
|Da
|Ra
|Ru/No
|Mu/Fo
|'''Fa'''
|Sa
|'''La'''
|Lu/Tho
|Tu/Do
|Da
|-
!8th 5L4s
!LsLLsLsLs
|Da
|Ra
|'''Ru/No'''
|Mu/Fo
|'''Pu/So'''
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|-
!9th 5L4s
!LLsLsLsLs
|Da
|Ra
|'''Ma'''
|Mu/Fo
|Pu/So
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|Da
|}Similar tables can be made for 5L6s and 5L11s.
|}
The same solfege can be used for 4L5s, but Sa will be < 5\9 = 667¢.


== #9 (P8, P11/3) ==
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) ==


<nowiki>#</nowiki>16 (P8/4, P5)
* G = ^m3/vM3 = ~3
* EI = vvA1


MOS scales covered:


<nowiki>#</nowiki>17 (P8, P4/4)
* 7 = 3L4s or 4L3s (Sa < 4\7 = 686¢)
 
* 10 = 7L3s or 3L7s (Sa > 3\5 = 720¢)
 
* 13 = 10L3s (Sa > 3\5 = 720¢) or 3L10s (Sa > 8\13)
<nowiki>#</nowiki>18 (P8, P5/4)
 
 
<nowiki>#</nowiki>19 (P8, P11/4)


{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = mid)'''
| rowspan="2" |
! colspan="27" |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
|Si
|Tha
|Ri
|Fa
|Li
|'''Da'''
|Mi
|Sa
|Ti
|Ra
|Fi
|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


<nowiki>#</nowiki>20 (P8, P12/4)
vG
|Bb
|^Db


vD
|F
|^Ab


<nowiki>#</nowiki>22 (P8/2, M2/4)
vA
|'''C'''
|^Eb


vE
|G
|^Bb
vB
|D
|^F
vF#
|A
|^C
|E
|^G
|B
|^D
|F#
|^A
|}
{| class="wikitable center-all"
|+
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 3L4s
!LsLsLss
|Da
|Ra
|Mi
|Fi
|Sa
|'''La'''
|Ti
|Da
|-
!2nd 3L4s
!LsLssLs
|Da
|Ra
|Mi
|'''Fi'''
|Sa
|'''Li'''
|Ti
|Da
|-
!3rd 3L4s
!LssLsLs
|Da
|'''Ra'''
|Mi
|'''Fa'''
|Sa
|Li
|Ti
|Da
|-
!4th 3L4s
!sLsLsLs
|Da
|'''Ri'''
|Mi
|Fa
|Sa
|Li
|'''Ti'''
|Da
|-
!5th 3L4s
!sLsLssL
|Da
|Ri
|Mi
|Fa
|'''Sa'''
|Li
|'''Tha'''
|Da
|-
!6th 3L4s
!sLssLsL
|Da
|Ri
|'''Mi'''
|Fa
|'''Si'''
|Li
|Tha
|Da
|-
!7th 3L4s
!ssLsLsL
|Da
|Ri
|'''Na'''
|Fa
|Si
|Li
|Tha
|Da
|}
Similar tables can be made for every mode of 7L3s, 10L3s or 3L10s
== #5 (P8/2, P4/2) ==
It has only 4 fifthchains, but it uses lifts and drops, must think about this...
== #6 (P8/3, P5) ==
* P = vM3 = ^^d4, G = P5
* EI = ^<sup>3</sup>d2
MOS scales covered:
* 6 = 3L3s
* 9 = 3L6s
* 12 = 3L9s or 9L3s (extended solfege only)
* 15 = 12L3s (extended solfege only)
* 18 = 15L3s (extended solfege only) Sa > 3\5 = 720¢
* 21= 12L9s (extended solfege only)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="5" |genspan
|-
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |down
genchain
!solfege
|Ro
|Lo
|Mo
|To
|Po
|-
!intervals
|vM2
|vM6
|vM3
|vM7
|vA4
|-
!notes
|vD
|vA
|vE
|vB
|vF#
|-
| colspan="7" |
|-
! rowspan="3" |plain
genchain
!solfege
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|'''C'''
|G
|D
|-
| colspan="7" |
|-
! rowspan="3" |up
genchain
!solfege
|Shu
|Fru
|Flu
|Nu
|Thu
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|}
{| class="wikitable center-all"
|+
'''extended uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |down
genchain
!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
!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
!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"
|+
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
|}
6L3s means Sa < 5\9 = 667¢
{| class="wikitable center-all"
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1) Sa must be > 700¢
![[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
|}
If Sa is < 700¢, L and s switch and you get 9L3s. The 1st mode becomes sLLL-sLLL-sLLL. This solfege still works.
Similar tables can be made for 15, 18 and 21-note scales.
== #7 (P8, P4/3) ==
* G = vM2/^^m2 = ^~2
* EI = v<sup>3</sup>A1
MOS scales covered:
* 7 = 1L6s (for 6L1s use quarter-5th)
* 8 = 6L1s or 1L6s
* 15 = 7L8s (all but 2 modes)
* scales of 6 or fewer notes are subsets of these
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| rowspan="2" |
! colspan="27" |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"
|+
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
!ssssssL
|Da
|Ro
|Nu
|Fa
|So
|Flu
|'''Tha'''
|Da
|-
!2nd 1L6s
!sssssLs
|Da
|Ro
|Nu
|Fa
|So
|'''Flu'''
|'''Thu'''
|Da
|-
!3rd 1L6s
!ssssLss
|Da
|Ro
|Nu
|Fa
|'''So'''
|'''Lo'''
|Thu
|Da
|-
!4th 1L6s
!sssLsss
|Da
|Ro
|Nu
|'''Fa'''
|'''Sa'''
|Lo
|Thu
|Da
|-
!5th 1L6s
!ssLssss
|Da
|Ro
|'''Nu'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|-
!6th 1L6s
!sLsssss
|Da
|'''Ro'''
|'''Mo'''
|Fu
|Sa
|Lo
|Thu
|Da
|-
!7th 1L6s
!Lssssss
|Da
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|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
!LLLLLLLs
|Da
|Ro
|Nu
|Fa
|So
|Flu
|Tha
|'''Do'''
|Da
|-
!2nd 7L1s
!LLLLLLsL
|Da
|Ro
|Nu
|Fa
|So
|Flu
|'''Tha'''
|'''Thu'''
|Da
|-
!3rd 7L1s
!LLLLLsLL
|Da
|Ro
|Nu
|Fa
|So
|'''Flu'''
|'''Lo'''
|Thu
|Da
|-
!4th 7L1s
!LLLLsLLL
|Da
|Ro
|Nu
|Fa
|'''So'''
|'''Sa'''
|Lo
|Thu
|Da
|-
!5th 7L1s
!LLLsLLLL
|Da
|Ro
|Nu
|'''Fa'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|-
!6th 7L1s
!LLsLLLLL
|Da
|Ro
|'''Nu'''
|'''Mo'''
|Fu
|Sa
|Lo
|Thu
|Da
|-
!7th 7L1s
!LsLLLLLL
|Da
|'''Ro'''
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|-
!8th 7L1s
!sLLLLLLL
|Da
|'''Du'''
|Ra
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|}
A similar table can be made for 7L8s, but it will lack the 1st and 15th modes.
== #8 (P8, P5/3) ==
* G = ^M2/vvm3
* EI = v<sup>3</sup>m2
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)'''
! colspan="31" |genspan
|-
!-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 5L6s and 5L11s.
== #9 (P8, P11/3) ==
* G = ^4/vv5
* EI = v<sup>3</sup>M2
MOS scales covered:
* 5 = 2L3s
* 7 = 2L5s
* 9 = 2L7s
* 11 = 2L9s
* etc. up to 19 = 17L2s
The up is quite large. ^1 = 67¢ + 0.67 * c, where Sa = 700¢ + c
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
! colspan="37" |genspan
|-
!18
!17
!16
!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
!-16
!-17
!-18
|-
|Sha
|Fro
|Shu
|Fra
|Flo
|Fru
|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
|To
|Mu
|Ta
|Po
|Tu
|Pa
|-
|d5
|vm2
|^d5
|m2
|vm6
|^m2
|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
|vM7
|^M3
|M7
|vA4
|^M7
|A4
|-
|Gb
|vDb
|^Gb
|Db
|vAb
|^Db
|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
|vB
|^E
|B
|vF#
|^B
|F#
|}
<nowiki>#</nowiki>16 (P8/4, P5)


<nowiki>#</nowiki>33 (P8/5, P5)
↵#17 (P8, P4/4)


↵#18 (P8, P5/4)


<nowiki>#</nowiki>34 (P8, P4/5)
↵#19 (P8, P11/4)


↵#20 (P8, P12/4)


<nowiki>#</nowiki>35 (P8, P5/5)
↵#22 (P8/2, M2/4)


↵#33 (P8/5, P5)


<nowiki>#</nowiki>36 (P8, P11/5)
↵#34 (P8, P4/5)


↵#35 (P8, P5/5)


<nowiki>#</nowiki>37 (P8, P12/5)
↵#36 (P8, P11/5)


↵#37 (P8, P12/5)


<nowiki>#</nowiki>38 (P8, ccP4/5)
↵#38 (P8, ccP4/5)
Retrieved from "https://en.xen.wiki/w/User:TallKite/List_of_Solfeges"