User:TallKite/List of Solfeges

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This page is a work in progress!

To do: check all edo pages for others' solfeges, done up to 19

include subset solfeges (8 of 24, 9/18 of 36, 16 of 48, 15/20 of 60, others? 11 of 22? 13 of 26?)

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

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

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

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.

BC (backwards-compatible) solfeges are for mid-sized edos like 17 and 19. They expand on the conventional Do Re Mi (and Do Di/Ra Re RiMa Mi) and use traditional vowels plus new ones.

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 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- = flat Re = minor 2nd (mnemonic: F stands for flat)
  • N- = flat Mi = minor 3rd
  • 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)
  • Sh- = flat So = dim 5th
  • Fl- = flat La = minor 6th (mnemonic: F stands for flat)
  • Th- = flat Ti = minor 7th

Sharpening and flattening refers to adding/subtracting the 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 plain, and almost always -u for up and -o for down. Larger edos also have either -i for mid, or -i for dup (double-up) and -e for dud (double-down).

the three vowel sequences
3 vowels 14-22, etc, -o = down -a = plain -u = up
4 vowels 31, 41 -i = mid -o = down -a = plain -u = up -i = mid
5 vowels 53, 60 -e = dud -o = down -a = plain -u = up -i = dup

These 5 vowels cover all the more popular edos up to 60. Which edos aren't covered? The number of vowels a uniform solfege needs equals the edo's sharpness or penta-sharpness, whichever is larger. Thus an edo with a (penta)sharpness of 6 or higher needs 6 or more vowels and isn't covered. Every edo above 60 is such an edo. A 6th vowel could of course be added, which would cover most edos up to 72edo.

Examples

  • 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.

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

In flat-1 edos, to up an interval means to diminish it. Ra = Fro and Ru = Fra. Fo = Pa and Su = Sha

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

In edos with an even 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)
  • 3rd/4th = ford (thorth)
  • 4th/5th = tritone
  • 5th/6th = sifth (sexth)
  • 6th/7th = sexth? siventh?
  • 7th/8ve = setave? octenth?

Example Scales

(The prime limits assumes a larger edo in which both 81/80 and 64/63 = 1 edostep)

3-limit Plain major scale Da Ra Ma Fa Sa La Ta Da
Plain minor scale Da Ra Na Fa Sa Fla Tha Da
5-limit Downmajor scale Da Ra Mo Fa Sa Lo To Da
Upminor scale Da Ra Nu Fa Sa Flu Thu Da
7-limit Upmajor scale Da Ra Mu Fa Sa Lu Tu Da
Downminor scale Da Ra No Fa Sa Flo Tho Da

Octave Complement

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
  • 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.

The Circle of Fifths

The 13 -a notes form a chain of 5ths running from the dim 5th to the aug 4th:

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

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

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

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

Thus as long as one spells the tritone correctly, all 5ths rhyme. This makes interval arithmetic very easy.

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.

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

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.

In general, one can add or subtract any conventional (i.e. plain) interval from any note, and the result will be as expected. But only if the expected answer exists in the solfege. It must exist on the 13-note chain of 5ths from dim5 to aug4. In other words, the expected answer must not be augmented or diminished, unless it's an aug4 or a dim5. (Otherwise, one must use an enharmonic equivalent.) For example, one can easily add a M3 to any note other than a L-, M-, T- or P- note. Thus Ro + M3 = Po and Na + M3 = Sa, but La + M3 is a Fr- note. Beware, sometimes a chain is not 13 notes long, and when adding to or subtracting, the expected answer must exist on the shorter chain. For example, in 31edo, the -u chain runs from P4 to A4.

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

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.

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.

7 consonants 7 consonants + P- 13 consonants BC numeric
-a 7 5 12 5 7 12 5 6

8 9

10 11

-o -a -u 12 14 21 10 15 16 17 19 22 24

26 29 31 36

-i -o -a -u 20 25 27 41
-e -o -a -u -i 28 35 40 48 53 60

5edo

solfeges
5edo 0 1 2 3 4 5
notes C D / Eb E / F G / Ab A / Bb C
intervals P1 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
uniform circle of fifths
0 3 1 4 2 5
-a Da Sa Ra La
-a Na Tha Fa Da

6edo

BC & numeric solfeges
6edo 0 1 2 3 4 5 6
notes C D E F# / Gb G# / Ab A# / Bb C
intervals P1 M2 M3 A4 / d5 A5 / m6 A6 / m7 P8
BC solfege (12edo subset) Do Re Mi Fi / Se Si / Le Li / Te Do
numeric solfege Wa Tu Ti Fo Fa Si Wa

7edo

7edo 0 1 2 3 4 5 6 7
notes C D E F G A B C
intervals P1 P2 P3 P4 P5 P6 P7 P8
uniform solfege Da Ra Ma Fa Sa La Ta Da
BC solfege Do Re Mi Fa So La Ti Do
circle of fifths
0 4 1 5 2 6 3 7
uniform Da Sa Ra La Ma Ta Fa Da
BC Do So Re La Mi Ti Fa Do

8edo

numeric solfege, see also edos 9-11
8edo 0 1 2 3 4 5 6 7 8
solfege Wa Tu Ti Fo Fa Si Se E Wa

9edo

numeric solfege, see also 8edo, 10edo & 11edo
9edo 0 1 2 3 4 5 6 7 8 9
solfege Wa Tu Ti Fo Fa Si Se E Na Wa

10edo

numeric solfege, see also 8edo, 9edo & 11edo
10edo 0 1 2 3 4 5 6 7 8 9 10
solfege Wa Tu Ti Fo Fa Si Se E Na Te Wa
uniform solfege (-a = plain, -o = down)
10edo 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 ~2 M2 / m3 ~3 P4 ~4 / ~5 P5 ~6 M6 / m7 ~7 P8
solfege Da Ro Ra / Na Mo Fa Po / So Sa Lo La / Tha To Da
extra names Du / Fru Nu Ma Fu / Shu Fla Flu Thu / Do
circles of fifths
plain circle down circle
0 6 2 8 4 10 1 7 3 9 5 1
-a Da Sa Ra La -o Ro Lo Mo To Po
-a Na Tha Fa Da -o So Ro

11edo

numeric solfege, see also edos 8-10
11edo 0 1 2 3 4 5 6 7 8 9 10 11
solfege Wa Tu Ti Fo Fa Si Se E Na Te Le Wa
someone's solfege from 11edo page, subset of 22edo
11edo 0 1 2 3 4 5 6 7 8 9 10 11
solfege Do Ra Re Me Mo Fu Su Lo La Ta Ti Do

12edo

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# / 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 Do Di / Ra Re Ri / Me Mi Fa Fi / Se So Si / Le La Li / Te Ti Do
circle of fifths (asymmetrical and major-centric)
0 7 2 9 4 11 6 1 8 3 10 5 12
Do So Re La Mi Ti Fi Di Si Ri Li
Se Ra Le Me Te Fa Da
perfect major aug / minor perfect
uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)
12edo 0 1 2 3 4 5 6 7 8 9 10 11 12
notes 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 / Ro Ra Ru / Mo Ma Fa Fu / So Sa Su / Lo La Lu / To Ta Da
extras Fo Mu Do Tu
circle of fifths (asymmetrical and major-centric)
0 7 2 9 4 11 6 1 8 3 10 5 12
-a Da Sa Ra La Ma Ta
-o So Ro Lo Mo To
-u Fu Du Su Ru Lu
-a Fa Da
uniform solfege #2 (-a = plain = perfect/major, -u = aug)
12edo 0 1 2 3 4 5 6 7 8 9 10 11 12
notes 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 Do
circle of fifths (asymmetrical and major-centric)
0 7 2 9 4 11 6 1 8 3 10 5 12
-a Da Sa Ra La Ma Ta Pa
-u Du Su Ru Lu
-a Sha Fra Fla Na Tha Fa Da

13b-edo

uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
13edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13
notes C ^C/D ^D/E vDb/^E Db/vEb Eb/vF F G ^G/A ^A/B vAb/^B Ab/vBb Bb/vC C
intervals P1 ^1/M2 ^M2/M3 vm2/^M3 m2/vm3 m3/v4 P4 P5 ^5/M6 ^M6/M7 vm6/^M7 m6/vm7 m7/v8 P8
solfege Da Du/Ra Ru/Ma Fro/Mu Fra/No Na/Fo Fa Sa Su/La Lu/Ta Flo/Tu Fla/Tho Tha/Do Da
circle of fifths
0 7 1 8 2 9 3 10 4 11 5 12 6 13
-a Da Sa Ra La Ma Ta
-u Du Su Ru Lu Mu Tu
-o Fro Flo No Tho Fo Do
-a Fra Fla Na Tha Fa Da

14edo

uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
14edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
notes C ^C/vD D ^D/vE E ^E/vF F ^F/vG G ^G/vA A ^A/vB B ^B/vC C
intervals P1 ^1/v2 P2 ^2/v3 P3 ^3/v4 P4 ^4/v5 P5 ^5/v6 P6 ^6/v7 P7 ^7/v8 P8
uniform solfege Da Du/Ro Ra Ru/Mo Ma Mu/Fo Fa Fu/So Sa Su/Lo La Lu/To Ta Tu/Do Da
circles of fifths
plain circle up/down circle
0 8 2 10 4 12 6 14 7 1 9 3 11 5 13 7
-a Da Sa Ra La Ma Ta Fa Da -u Fu Du Su Ru Lu Mu Tu Fu
-o So Ro Lo Mo To Fo Do So

15edo

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 0 80 160 240 320 400 480 560 640 720 800 880 960 1040 1120 1200
notes C ^Db vD D / Eb ^Eb vE E / F ^F / ^Gb vF# / vG G / Ab ^Ab vA A / Bb ^Bb vB C
intervals P1 ^m2 vM2 M2 / m3 ^m3 vM3 M3 / P4 ^4 / ^d5 vA4 / v5 P5 / m6 ^m6 vM6 M6 / m7 ^m7 vM7 P8
solfege Da Fru Ro Ra / Na Nu Mo Fa Fu / Shu Po / So Sa Flu Lo La / Tha Thu To Da
extras Du Do
circles of fifths
plain circle up circle down circle
0 9 3 12 6 15 1 10 4 13 7 1 2 11 5 14 8 2
Da Sa Ra La Fru Flu Nu Thu Fu Ro Lo Mo To Po
Na Tha Fa Da Shu Fru So Ro
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 20edo, 22edo
15edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
cents 0 80 160 240 320 400 480 560 640 720 800 880 960 1040 1120 1200
notes C ^Db vD D/Eb ^Eb vE E/F ^F vG G/Ab ^Ab vA A/Bb ^Bb vB C
intervals P1 ^m2 vM2 M2/m3 ^m3 vM3 M3/P4 ^4 v5 P5/m6 ^m6 vM6 M6/m7 ^m7 vM7 P8
solfege Da Ru Ro Ra/Mi Mu Mo Ma/Fa Fu So Sa/Li Lu Lo La/Ti Tu To Da

circles of 5ths: Fu Ru Lu Mu Tu Fu --- Da Sa/Li Ra/Mi La/Ti Ma/Fa Da --- So Ro Lo Mo To So

someone's BC solfege from the 15edo page
15edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
notes C ^C vD D ^Eb vE F ^F vG G ^Ab vA Bb ^Bb vB C
intervals P1 ^1 vM2 M2 ^m3 vM3 P4 ^4 v5 P5 ^m6 vM6 m7 ^m7 vM7 P8
solfege Do Di Ru Re Me Mi Fa Fu Su So Le La Ta Tu Ti Do

16edo

uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
16edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
cents 0 75 150 225 300 375 450 525 600 675 750 825 900 975 1050 1125 1200
notes C Cb/D# D Db E Eb Ebb/F# F Fb/G# G Gb/A# A Ab B Bb Bbb/C# C
intervals P1 d1/A2 M2 m2 M3 m3 d3/A4 P4 d4/A5 P5 d5/A6 M6 m6 M7 m7 d7/A8 P8
solfege Da Du/Ro Ra Fra Ma Na Nu/Pa Fa Fu/So Sa Sha/Lo La Fla Ta Tha Thu/Do Da
extras Fro Ru No Mu Fo Su Flo Lu Tho Tu
circle of fifths
0 9 2 11 4 13 6 15 8 1 10 3 12 5 14 7 16
-a Da Sa Ra La Ma Ta Pa
-u Nu Thu Fu Du
-o Do So Ro Lo
-a Sha Fra Fla Na Tha Fa Da
perfect major in-between minor perfect
Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
16edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
notes C Cb/D# D Db/E# E Eb F# F Fb/G# G Gb/A# A Ab/B# B Bb C# C
intervals P1 d1/A2 M2 m2/A3 M3 m3 A4 P4 d4/A5 P5 d5/A6 M6 m6/A7 M7 m7 A8 P8
solfege Do De/Ri Re Ra/Ma Mi Me Fi Fa Fe/Si So Se/Li La Le/Ta Ti Te Di Do

17edo

uniform solfege (-a = plain, -u = up, -o = down)
17edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 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 Du / Fra Ro Ra Na Mo Ma Fa Fu / Sha Pa / So Sa Fla Lo La Tha To Ta / Do Da
extras Fru No Ru Nu Fo Su Flu Tho Lu Thu
circle of fifths
0 10 3 13 6 16 9 2 12 5 15 8 1 11 4 14 7 17
-a Da Sa Ra La Ma Ta Pa
-o Do So Ro Lo Mo To
-u (Fru) (Flu) (Nu) (Thu) Fu Du
-a Sha Fra Fla Na Tha Fa Da
perfect major mid minor perfect
Andrew's BC solfege (-u = mid)
17edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
notes C ^C / Db C# / vD D ^D / Eb D# / vE E F ^F / Gb F# / vG G ^G / Ab G# / vA A ^A / Bb A# / vB B C
intervals P1 ^1 / m2 A1 / ~2 M2 ^M2 / m3 A2 / ~3 M3 P4 ~4 / d5 A4 / ~5 P5 ^5 / m6 A5 / ~6 M6 ^M6 / m7 A6 / ~7 M7 P8
solfege Do Da / Ra Di / Ru Re Ro / Me Ri / Mu Mi Fa Fu / Se Fi / Su So Sa / Le Si / Lu La Lo / Te Li / Tu Ti Do

18b-edo

uniform solfege (-a = plain, -u = up, -o = down)
18edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
notes C ^C

vD

D ^D

vDb

Db

E

^E

vEb

Eb ^Eb / ^F#

vF

F ^F

vG

G ^G

^Gb / vA

A ^A

vAb

Ab

B

^B

vBb

Bb ^Bb

vC

C
intervals P1 ^1

vM2

M2 ~2 m2

M3

~3 m3 ^m3 / ^A4

v4

P4 ^4

v5

P5 ^5

vd5 / vM6

M6 ~6 m6

M7

~7 m7 ^m7

v8

P8
solfege Da Du

Ro

Ra Ru

Fro

Fra

Ma

Mu

No

Na Nu / Pu

Fo

Fa Fu

So

Sa Su

Sho / Lo

La Lu

Flo

Fla

Ta

Tu

Tho

Tha Thu

Do

Da
extras Pa Sha
circles of fifths
plain circle up/down circle
0 10 2 12 4 14 6 16 8 18 9 1 11 3 13 5 15 7 17 9
-a Da Sa Ra La Ma Ta -u Fu Du Su Ru Lu Mu Tu Pu/Nu Thu Fu
-a Fra Fla Na Tha Fa Da -o So Ro Lo/Sho Fro Flo No Tho Fo Do So

19edo

traditional solfege
19edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
notes C C#/Dbb Db D D#/Ebb Eb 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 Do Di/Ro Ra Re Ri/Ma Me Mi Mo/Fe Fa Fi Se So Si/Lo Le La Li/Ta Te Ti To/Da Do
uniform solfege (-a = plain, -u = up, -o = down)
19edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
notes C C#/Dbb Db D D#/Ebb Eb E E#/Fb F F#/Gbb Fx/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/dd5 AA4/d5 P5 A5/d6 m6 M6 A6/d7 m7 M7 A7/d8 P8
solfege Da Du/Fro Fra Ra Ru/No Na Ma Mu/Fo Fa Pa/Sho Pu/Sha Sa Su/Flo Fla La Lu/Tho Tha Ta Tu/Do Da
extras Po Fu So Shu
circle of fifths
0 11 3 14 6 17 9 1 12 4 15 7 18 10 2 13 5 16 8 19
-a Da Sa Ra La Ma Ta Pa
-o Sho Fro Flo No Tho Fo Do
-u Du Su Ru Lu Mu Tu Pu
-a Sha Fra Fla Na Tha Fa Da
perfect major in-between minor perfect
Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
19edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
notes C C#/Dbb Db D D#/Ebb Eb 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 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

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
cents 0 60 120 180 240 300 360 420 480 540 600 660 720 780 840 900 960 1020 1080 1140 1200
notes C ^Db vvD vD D/Eb ^Eb vvE vE F ^F/^Gb ^^F/vvG vF#/vG G ^Ab vvA vA A/Bb ^Bb vvB vB C
intervals P1 ^m2 ~2 vM2 M2/m3 ^m3 ~3 vM3 P4 ^4/^d5 ~4/~5 vA4/v5 P5 ^m6 ~6 vM6 M6/m7 ^m7 ~7 vM7 P8
solfege Da Fru Ri Ro Ra/Na Nu Mi Mo Fa Fu/Shu Fi/Si Po/So Sa Flu Li Lo La/Tha Thu Ti To Da
extras Du Ma Fla Do
circles of fifths
plain circle up circle mid circle down circle
0 12 4 16 8 20 1 13 5 17 9 1 2 14 6 18 10 2 2 11 5 14 8 2
Da Sa Ra La Fru Flu Nu Thu Fu Ri Li Mi Ti Pi Ro Lo Mo To Po
Na Tha Fa Da Shu Fru Si Ri So Ro
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
notes C/Db ^Db vvD vD D/Eb ^Eb vvE vE E/F ^F ^^F/vvG vG G/Ab ^Ab vvA vA A/Bb ^Bb vvB vB B/C
intervals P1/m2 ^m2 ~2 vM2 M2/m3 ^m3 ~3 vM3 M3/P4 ^4 ~4/~5 v5 P5/m6 ^m6 ~6 vM6 M6/m7 ^m7 ~7 vM7 M7/P8
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

21edo

uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
21edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
notes C ^C vD D ^D vE E ^E vF F ^F vG G ^G vA A ^A vB B ^B vC C
intervals P1 ^1 v2 P2 ^2 v3 P3 ^3 v4 P4 ^4 v5 P5 ^5 v6 P6 ^6 v7 P7 ^7 v8 P8
solfege Da Du Ro Ra Ru Mo Ma Mu Fo Fa Fu So Sa Su Lo La Lu To Ta Tu Do Da
circles of fifths
plain circle up circle down circle
0 12 3 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

uniform solfege (-u = up, -o = down, -a = plain)
22edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
notes C Db ^Db vD D Eb ^Eb vE E F ^F/Gb vF#/^Gb F#/vG G Ab ^Ab vA A Bb ^Bb vB B C
intervals P1 m2 ^m2 vM2 M2 m3 ^m3 vM3 M3 P4 ^4/d5 vA4/^d5 A4/v5 P5 m6 ^m6 vM6 M6 m7 ^m7 vM7 M7 P8
solfege Da Du

Fra

Fru Ro Ra Na Nu Mo Ma Fa Fu

Sha

Po

Shu

Pa

So

Sa Fla Flu Lo La Tha Thu To Ta

Do

Da
extras Fro No Ru Fo Mu

Sho

Pu

Flo

Su Tho Lu Tu
circle of fifths
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 Pa
-o Do So Ro Lo Mo To Po
-u Shu Fru Flu Nu Thu Fu Du
-a Sha Fra Fla Na Tha Fa Da
perfect major downmajor upminor minor perfect
Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 15edo
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 C ^C/Db ^Db vD D Eb ^Eb vE E F ^F vF#/^Gb vG G Ab ^Ab vA A Bb ^Bb vB B/vC C
intervals P1 ^1/m2 ^m2 vM2 M2 m3 ^m3 vM3 M3 P4 ^4 vA4/^d5 v5 P5 m6 ^m6 vM6 M6 m7 ^m7 vM7 M7/v8 P8
solfege Da Du/Ri Ru Ro Ra Mi Mu Mo Ma Fa Fu Po/Shu So Sa Li Lu Lo La Ti Tu To Ta/Do Da
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
-o Do So Ro Lo Mo To Po
-u Shu Ru Lu Mu Tu Fu Du
-i Ri Li Mi Ti
-a Fa Da
Andrew's BC solfege
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 C Db ^Db vD D Eb ^Eb vE E F ^F/Gb vF#/^Gb F#/vG G Ab ^Ab vA A Bb ^Bb vB B C
intervals P1 m2 ^m2 vM2 M2 m3 ^m3 vM3 M3 P4 ^4/d5 vA4/^d5 A4/v5 P5 m6 ^m6 vM6 M6 m7 ^m7 vM7 M7 P8
solfege Do Di Ra Ru Re Ma Me Mi Mo Fa Fu Fi Su Sol Lo Le La Li Ta Tu Ti Da Do

23edo

uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
23edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
notes C Cb D# D Db Dbb

E#

E Eb Ebb F# F Fb G# G Gb A# A Ab Abb

B#

B Bb Bbb C# C
intervals P1 d1 A2 M2 m2 d2

A3

M3 m3 d3 A4 P4 d4 A5 P5 d5 A6 M6 m6 d6

A7

M7 m7 d7 A8 P8
solfege Da Du Ro Ra Fra Fru

Mo

Ma Na Nu Fo

Pa

Fa Fu So Sa Su

Sha

Lo La Fla Flu

To

Ta Tha Thu Do Da
extras Fro Ru No Mu Pu Sho Flo Lu Tho Tu
circle of fifths
0 13 3 16 6 19 9 22 12 2 15 5 18 8 21 11 1 14 4 17 7 20 10 23
-a Da Sa Ra La Ma Ta Pa
-o Fo Do So Ro Lo Mo To
-u Fru Flu Nu Thu Fu Du Su
-a Sha Fra Fla Na Tha Fa Da

24edo

uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
24edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
notes C ^C

vDb

Db ^Db

vD

D ^D

vEb

Eb ^Eb

vE

E ^E

vF

F ^F

vF# vGb

F#

Gb

^F#

^Gb vG

G ^G

vAb

Ab ^Ab

vA

A ^A

vBb

Bb ^Bb

vB

B ^B

vC

C
intervals P1 ^1

vm2

m2 ~2 M2 ^M2

vm3

m3 ~3 M3 ^M3

v4

P4 ~4

vd5

A4

d5

~5

v5

P5 ^5

vm6

m6 ~6 M6 ^M6

vm7

m7 ~7 M7 ^M7

v8

P8
solfege Da Du

Fro

Fra Fru

Ro

Ra Ru

No

Na Nu

Mo

Ma Mu

Fo

Fa Fu

Po

Sho

Pa

Sha

Pu

Shu So

Sa Su

Flo

Fla Flu

Lo

La Lu

Tho

Tha Thu

To

Ta Tu

Do

Da

Fru, Nu, Flu andThu are included to complete the -u circle

circles of fifths
plain

circle

0 14 4 18 8 22 12 2 16 6 20 10 24
-a Da Sa Ra La Ma Ta Pa
-a Sha Fra Fla Na Tha Fa Da
1 15 5 19 9 23 13 3 17 7 21 11 1
up

circle

-u Du Su Ru Lu Mu Tu Pu
-u Shu Fru Flu Nu Thu Fu Du
down

circle

-o Fro Flo No Tho Fo Do So Ro Lo Mo To Po
-o Sho Fro
uniform solfege #2 (-a = plain, -i = mid/down)
24edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
notes C vDb Db vD D vEb Eb vE E vF F vF#/vGb F#/Gb vG G vAb Ab vA A vBb Bb vB B vC C
intervals P1 vm2 m2 ~2 M2 vm3 m3 ~3 M3 v4 P4 vA4/vd5 A4/d5 v5 P5 vm6 m6 ~6 M6 vm7 m7 ~7 M7 v8 P8
solfege Da Fri Fra Ri Ra Ni Na Mi Ma Fi Fa Pi/Shi Pa/Sha Si Sa Fli Fla Li 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.

Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
24edo 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
notes C ^C

vDb

Db vD D ^D

vEb

Eb vE E ^E

vF

F ^F

vGb

F#

Gb

^F#

vG

G ^G

vAb

Ab vA A ^A

vBb

Bb vB B ^B

vC

C
intervals P1 ^1

vm2

m2 ~2 M2 ^M2

vm3

m3 ~3 M3 ^M3

v4

P4 ^4

vd5

A4

d5

^A4

v5

P5 ^5

vm6

m6 ~6 M6 ^M6

vm7

m7 ~7 M7 ^M7

v8

P8
solfege Do Da

Ru

Ro Ra Re Ri

Mu

Mo Ma Me Mi

Fu

Fo Fa

Su

Fe

So

Fi

Sa

Se Si

Lu

Lo La Le Li

Tu

To Ta Te Ti

Du

Do

25edo

uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
25edo edosteps solfege names ups and downs names
unisons 0-1 Da Du/Fru P1 ^1/^m2 C ^C/^Db
2nds 1-5 Du/Fru Fri Ri Ro Ra/Na ^1/^m2 v~2 ^~2 vM2 M2/m3 ^C/^Db ^^Db vvD vD D/Eb
3rds 5-9 Ra/Na Nu Ni Mi Mo M2/m3 ^m3 v~3 ^~3 vM3 D/Eb ^Eb ^^Eb vvE vE
4ths 10 Fa P4 F
tritones 11-14 Fu/Shu Fi/Shi Pi/Si Po/So ^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5 ^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
5ths 15 Sa P5 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 M6/m7 ^~7 vM7/v8 A/Bb ^Bb ^^Bb vvB vB/vC
8ves 24-25 (26) To/Do Da (Du) vM7/v8 P8 (^8) vB/vC C (^C)
Uniform solfege (-a = plain, -u = up, -o = down, -i = mid) (duplicate names are bolded)
25edo edosteps solfege names ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2nds 1-5 Fru Fri Ri Ro Ra ^m2 v~2 ^~2 vM2 M2 ^Db ^^Db vvD vD D
3rds 5-9 Na Nu Ni Mi Mo m3 ^m3 v~3 ^~3 vM3 Eb ^Eb ^^Eb vvE vE
4ths 10 Fa P4 F
tritones 11-14 Fu/Shu Fi/Shi Pi/Si Po/So ^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5 ^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
5ths 15 Sa P5 G
6ths 16-20 Flu Fli Li Lo La ^m6 v~6 ^~6 vM6 M6 ^Ab ^^Ab vvA vA A
7ths 20-24 Tha Thu Thi Ti To m7 ^~7 vM7 Bb ^Bb ^^Bb vvB vB
8ves 24-25 (26) Do Da (Du) v8 P8 (^8) vC C (^C)

plain ring: Da Sa Ra/Na La/Tha Fa Da

up ring: Fu/Shu Fru Flu Nu Thu Fu/Shu

downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi

upmid ring: Pi/Si Ri Li Mi Ti Pi/Si

down ring: Po/So Ro Lo Mo To/Do Po/So

26edo

uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
26edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 A1 C C#
2nds 2-5 Fro Fra Ra Ru d2 m2 M2 A2 Dbb Db D D#
3rds 6-9 No Na Ma Mu d3 m3 M3 A3 Ebb Eb E E#
4ths 10-12 Fo Fa Fu/Pa d4 P4 A4 Fb F F#
tritone 13 Pu/Sho AA4/dd5 Fx/Gbb
5ths 14-16 Sha/So Sa Su d5 P5 A5 Gb G G#
6ths 17-20 Flo Fla La Lu d6 m6 M6 A6 Abb Ab A A#
7ths 21-24 Tho Tha Ta Tu d7 m7 M7 A7 Bbb Bb B B#
8ves 25-26 (27) Do Da (Du) d8 P8 (A8) Cb C (C#)

circle of 5ths: Da Sa Ra La Ma Ta Pa/Fu Du Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo Do So/Sha Fra Fla Na Tha Fa Da

Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
26edo edosteps Kite's Phylingual's ups and downs names
unisons 0-1 Da Du Do Di P1 A1 C C#
2nds 2-5 Ro Ri Ra Ru Rih Ru Re Ri d2 m2 M2 A2 Dbb Db D D#
3rds 6-9 Mo Mi Ma Mu Ma Me Muh/Mi Maa d3 m3 M3 A3 Ebb Eb E E#
4ths 10-12 Fo Fa Fu/Pa Fe Fa Fu d4 P4 A4 Fb F F#
tritone 13 Pu/Sho Fi/Se AA4/dd5 Fx/Gbb
5ths 14-16 Sha/So Sa Su Su So Si d5 P5 A5 Gb G G#
6ths 17-20 Lo Li La Lu Leh Le/Lu La Li d6 m6 M6 A6 Abb Ab A A#
7ths 21-24 To Ti Ta Tu Ta Te Tu/Ti To d7 m7 M7 A7 Bbb Bb B B#
8ves 25-26 (27) Do Da (Du) Da Do (Di) d8 P8 (A8) 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 So Ri Li Mi Ti Fa Da

27edo

uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
27edo edosteps solfege names ups and downs names
unisons 0-1 Da Du/Fra P1 ^1/m2 C ^C/Db
2nds 1-5 Du/Fra Fru Ri Ro Ra ^1/m2 ^m2 ~2 vM2 M2 ^C/Db ^Db vvD vD D
3rds 6-10 Na Nu Mi Mo Ma m3 ^m3 ~3 vM3 M3 Eb ^Eb vvE vE E
4ths 11 Fa P4 F
tritones 12-15 Fu/Sha Fi/Shu Po/Si Pa/So ^4/b5 ~4/^d5 vA4/~5 A4/v5 ^F/Gb ^^F/^Gb vF#/vvG F#/vG
5ths 16 Sa P5 G
6ths 17-21 Fla Flu Li Lo La m6 ^m6 ~6 vM6 M6 Ab ^Ab vvA vA A
7ths 22-26 Tha Thu Ti To Ta/Do m7 ^m7 ~7 vM7 M7/v8 Bb ^Bb vvB vB B/vC
8ves 26-27 (28) Ta/Do Da (Du) M7/v8 P8 (^8) B/vC C (^C)

Da Sa Ra La Ma Ta/Do Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha Du/Fra Fla Na Tha Fa Da

Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes.

28edo

uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
28edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di/Re P1 ^1 ^^1/vv2 C ^C ^^C/vvD
2nds 2-6 Di/Re Ro Ra Ru Ri/Me ^^1/vv2 v2 P2 ^2 ^^2/vv3 ^^C/vvD vD D ^D ^^D/vvE
3rds 6-10 Ri/Me Mo Ma Mu Mi/Fe ^^2/vv3 v3 P3 ^3 ^^3/vv4 ^^D/vvE vE E ^E ^^E/vvF
4ths 10-14 Mi/Fe Fo Fa Fu Fi/Se ^^3/vv4 v4 P4 ^4 ^^4/vv5 ^^E/vvF vF F ^F ^^F/vvG
5ths 14-18 Fi/Se So Sa Su Si/Le ^^4/vv5 v5 P5 ^5 ^^5/vv6 ^^F/vvG vG G ^G ^^G/vvA
6ths 18-22 Si/Le Lo La Lu Li/Te ^^5/vv6 v6 P6 ^6 ^^6/vv7 ^^G/vvA vA A ^A ^^A/vvB
7ths 22-26 Li/Te To Ta Tu Ti/De ^^6/vv7 v7 P7 ^7 ^^7/vv8 ^^A/vvB vB B ^B ^^B/vvC
8ves 26-28 (29 30) Ti/De Do Da (Du Di) ^^7/vv8 v8 P8 (^8 ^^8) ^^B/vvC vC C (^C ^^C)
circles of fifths
plain circle 0 16 4 20 8 24 12 28
Da Sa Ra La Ma Ta Fa Da
up circle 1 17 5 21 9 25 13 1
Du Su Ru Lu Mu Tu Fu Du
down circle 27 15 3 19 7 23 11 27
Do So Ro Lo Mo To Fo Do
in-between circle 2 18 6 22 10 26 14 2
Di Si Ri Li Mi Ti Fi Di
Re Le Me Te Fe De Se Re

29edo

uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
29edo edosteps solfege names ups and downs names
unisons 0-1 Da Du/Fro P1 ^1/vm2 C ^C/vDb
2nds 1-6 Du/Fro Fra Fru Ro Ra Ru/No ^1/vm2 m2 ^m2 vM2 M2 ^M2/vm3 ^C/vDb Db ^Db vD D ^D/vEb
3rds 6-11 Ru/No Na Nu Mo Ma Mu/Fo ^M2/vm3 m3 ^m3 vM3 M3 ^M3/v4 ^D/vEb Eb ^Eb vE E ^E/vF
4ths 11-13 Mu/Fo Fa Fu ^M3/v4 P4 ^4 ^E/vF F ^F
tritones 14-15 Po/Sha Pa/Shu vA4/d5 A4/^d5 vF#/Gb F#/^Gb
5ths 16-18 So Sa Su/Flo v5 P5 ^5/vm6 vG G ^G/vAb
6ths 18-23 Su/Flo Fla Flu Lo La Lu/Tho ^5/vm6 m6 ^m6 vM6 M6 ^M6/vm7 ^G/vAb Ab ^Ab vA A ^A/vBb
7ths 23-28 Lu/Tho Tha Thu To Ta Tu/Do ^M6/vm7 m7 ^m7 vM7 M7 ^M7/v8 ^A/vBb Bb ^Bb vB B ^B/vC
8ves 28-29 (30) Tu/Do Da (Du) ^M7/v8 P8 (^8) ^B/vC 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

Phylingual's solfege
29edo edosteps solfege names ups and downs names
unisons 0-1 Do Di P1 ^1 C ^C
2nds 2-6 Rih Ra Ru Re Raw m2 ^m2 vM2 M2 ^M2 Db ^Db vD D ^D
3rds 7-11 Meh Me Mi Maa Maw m3 ^m3 vM3 M3 ^M3 Eb ^Eb vE E ^E
4ths 12-14 Fa Fu Fi P4 ^4 ^^4 F ^F ^^F
5ths 15-18 Se Su So Saw vv5 v5 P5 ^5 vvG vG G ^G
6ths 19-23 Leh Le La Laa Law m6 ^m6 vM6 M6 ^M6 Ab ^Ab vA A ^A
7ths 24-27 Teh Te Ti Taa m7 ^m7 vM7 M7 Bb ^Bb vB B
8ves 28-29 (30) Da Do (Di) v8 P8 (^8) vC C (^C)

31edo

uniform solfege (-a = plain, -u = up, -o = down)
31edo edosteps solfege names ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2nds 2-6 Fro Fra Ro Ra Ru vm2 m2 ~2 M2 ^M2 vDb Db vD D ^D
3rds 7-11 No Na Mo Ma Mu vm3 m3 ~3 M3 ^M3 vEb Eb vE E ^E
4ths 12-14 Fo Fa Fu/Po v4 P4 ^4 vF F ^F/vF#
tritones 15-16 Pa/Sho Pu/Sha A4/vd5 ^A4/d5 F#/vGb ^F#/Gb
5ths 17-19 So Sa Su v5 P5 ^5 vG G ^G
6ths 20-24 Flo Fla Lo La Lu vm6 m6 ~6 M6 ^M6 vAb Ab vA A ^A
7ths 25-29 Tho Tha To Ta Tu vm7 m7 ~7 M7 ^M7 vBb Bb vB B ^B
8ves 30-31 (32) Do Da (Du) v8 P8 (^8) 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

Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
31edo solfege names ups and downs names edosteps
unisons Do Da P1 ^1 C ^C 0-1
2nds Ru Ro Ra Re Ri vm2 m2 ~2 M2 ^M2 vDb Db vD D ^D 2-6
3rds Mu Mo Ma Me Mi vm3 m3 ~3 M3 ^M3 vEb Eb vE E ^E 7-11
4ths Fu Fo Fa v4 P4 ^4 vF F ^F 12-14
tritones Fe/Su Fi/So A4/vd5 ^A4/d5 F#/vGb ^F#/Gb 15-16
5ths Sa Se Si v5 P5 ^5 vG G ^G 17-19
6ths Lu Lo La Le Li vm6 m6 ~6 M6 ^M6 vAb Ab vA A ^A 20-24
7ths Tu To Ta Te Ti vm7 m7 ~7 M7 ^M7 vBb Bb vB B ^B 25-29
8ves Du Do (Da) v8 P8 (^8) vC C (^C) 30-31 (32)

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

Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
31edo solfege names ups and downs names edosteps
unisons Da Du P1 ^1 C ^C 0-1
2nds Ro Ri Re Ra Ru vm2 m2 ~2 M2 ^M2 vDb Db vD D ^D 2-6
3rds Mo Mi Me Ma Mu vm3 m3 ~3 M3 ^M3 vEb Eb vE E ^E 7-11
4ths Fo Fi Fe v4 P4 ^4 vF F ^F 12-14
tritones Fa/So Fu/Si A4/vd5 ^A4/d5 F#/vGb ^F#/Gb 15-16
5ths Se Sa Su v5 P5 ^5 vG G ^G 17-19
6ths Lo Li Le La Lu vm6 m6 ~6 M6 ^M6 vAb Ab vA A ^A 20-24
7ths To Ti Te Ta Tu vm7 m7 ~7 M7 ^M7 vBb Bb vB B ^B 25-29
8ves De Da (Du) v8 P8 (^8) vC 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

Andrew's solfege
31edo edosteps solfege names ups and downs names
unisons 0-1 Do Di P1 ^1 C ^C
2nds 2-6 Ro Ra Ru Re Ri vm2 m2 ~2 M2 ^M2 vDb Db vD D ^D
3rds 7-11 Ma Me Mu Mi Mo vm3 m3 ~3 M3 ^M3 vEb Eb vE E ^E
4ths 12-15 Fe Fa Fu Fi v4 P4 ^4 A4 vF F ^F F#
5ths 16-19 Se Su So (or Sol) Si d5 v5 P5 ^5 Gb vG G ^G
6ths 20-24 Lo Le Lu La Li vm6 m6 ~6 M6 ^M6 vAb Ab vA A ^A
7ths 25-29 Ta Te Tu Ti To vm7 m7 ~7 M7 ^M7 vBb Bb vB B ^B
8ves 30-31 (32) Da Do (Di) v8 P8 (^8) vC C (^C)

32edo

uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
32edo edosteps solfege names ups and downs names
unisons 0-1 Da Du/Fra P1 ^1/m2 C ^C/Db
2nds 1-6 Du/Fra Fru Fri Ri Ro Ra ^1/m2 ^m2 v~2 ^~2 vM2 M2 ^C/Db ^Db ^^Db vvD vD D
3rds 7-12 Na Nu Ni Mi Mo Ma m3 ^m3 v~2 ^~3 vM3 M3 Eb ^Eb ^^Eb vvE vE E
4ths 13 Fa P4 F
tritones 14-18 Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So ^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5 ^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG
5ths 19 Sa P5 G
6ths 20-25 Fla Flu Fli Li Lo La 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) Ta/Do Da (Du) M7/v8 P8 (^8) 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

uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)
33edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di/Fre P1 A1 AA1/dd2 C C# Cx
2nds 2-7 Di/Fre Fro Fra Ra Ru Ri/Ne AA1/dd2 d2 m2 M2 A2 AA2/dd3 Dbbb Dbb Db D D# Dx/Ebbb
3rds 7-12 Ri/Ne No Na Ma Mu Mi/Fe AA2/dd3 d3 m3 M3 A3 AA3/dd4 Dx/Ebbb Ebb Eb E E# Ex/Fbb
4ths 12-15 Mi/Fe Fo Fa Fu/Pa AA3/dd4 d4 P4 A4 Ex/Fbb Fb F F#
tritone 16-17 Fi/Pu/She Pi/Sho/Se AA4/ddd5 AAA4/dd5 Fx/Gbbb Fx#/Gbb
5ths 18-21 Sha/So Sa Su Si/Fle d5 P5 A5 AA5/dd6 Gb G G# Gx/Abbb
6ths 21-26 Si/Fle Flo Fla La Lu Li/The AA5/dd6 d6 m6 M6 A6 AA6/dd7 Gx/Abbb Abb Ab A A# Ax/Bbbb
7ths 26-31 Li/The Tho Tha Ta Tu Ti/De AA6/dd7 d7 m7 M7 A7 AA7/dd8 Ax/Bbbb Bbb Bb B B# Bx/Cbb
8ves 31-33 (34-35) Ti/De Do Da (Du Di) AA7/dd8 d8 P8 (A8 AA8) 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

uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
34edo edosteps solfege names ups and downs names
unisons 0-1 Da Du Du=Fro P1 ^1 C ^C
2nds 1-7 Fro Fra Fru Ri Ro Ra Ru Ru=No vm2 m2 ^m2 ~2 vM2 M2 ^M2 vDb Db ^Db vvD vD D ^D
3rds 7-13 No Na Nu Mi Mo Ma Mu Mu=Fo vm3 m3 ^m3 ~3 vM3 M3 ^M3 vEb Eb ^Eb vvE vE E ^E
4ths 13-15 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 16-18 Fi/Sha Po/Shu Pa/Si ~4/d5 vA4/^d5 A4/~5 ^^F/Gb vF#/^Gb F#/vvG
5ths 19-21 So Sa Su Su=Flo v5 P5 ^5 vG G ^G
6ths 21-27 Flo Fla Flu Li Lo La Lu Lu=Tho vm6 m6 ^m6 ~6 vM6 M6 ^M6 vAb Ab ^Ab vvA vA A ^A
7ths 27-33 Tho Tha Thu Ti To Ta Tu Tu=Do vm7 m7 ^m7 ~7 vM7 M7 ^M7 vBb Bb ^Bb vvB vB B ^B
8ves 33-34 (35) Do Da (Du) v8 P8 (^8) vC C (^C)
circle of fifths
plain/mid

circle

0 20 6 26 12 32 18 4 24 10 30 16 2 22 8 28 14 34
-a Da Sa Ra La Ma Ta Pa
-i Si Ri Li Mi Ti Fi
-a Sha Fra Fla Na Tha Fa Da
perfect major mid minor perfect
up/down

circle

17 3 23 9 29 15 1 21 7 27 13 33 19 5 25 11 31 17
-o Po
-u Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu
-o Fro Flo No Tho Fo Do So Ro Lo Mo To Po
-u Shu
upminor in-between downmajor

35edo

uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
35edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
2nds 3-7 Re Ro Ra Ru Ri vv2 v2 P2 ^2 ^^2 vvD vD D ^D ^^D
3rds 8-12 Me Mo Ma Mu Mi vv3 v3 P3 ^3 ^^3 vvE vE E ^E ^^E
4ths 13-17 Fe Fo Fa Fu Fi vv4 v4 P4 ^4 ^^4 vvF vF F ^F ^^F
5ths 18-22 Se So Sa Su Si vv5 v5 P5 ^5 ^^5 vvG vG G ^G ^^G
6ths 23-27 Le Lo La Lu Li vv6 v6 P6 ^6 ^^6 vvA vA A ^A ^^A
7ths 28-32 Te To Ta Tu Ti vv7 v7 P7 ^7 ^^7 vvB vB B ^B ^^B
8ves 33-35 (36 37) De Do Da (Du Di) vv8 v8 P8 (^8 ^^8) vvC vC C (^C ^^C)
circles of fifths
plain circle 0 20 5 25 10 30 15 35
Da Sa Ra La Ma Ta Fa Da
up circle 1 21 6 26 11 31 16 1
Du Su Ru Lu Mu Tu Fu Du
dup circle 2 22 7 27 12 32 17 2
Di Si Ri Li Mi Ti Fi Di
down circle 34 19 4 24 9 29 14 34
Do So Ro Lo Mo To Fo Do
dud circle 33 18 3 23 8 28 13 33
De Se Re Le Me Te Fe De

36edo

uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
36edo edosteps solfege names ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2nds 2-7 Fro Fra Fru Ro Ra Ru vm2 m2 ^m2 vM2 M2 ^M2 vDb Db ^Db vD D ^D
3rds 8-13 No Na Nu Mo Ma Mu vm3 m3 ^m3 vM3 M3 ^M3 vEb Eb ^Eb vE E ^E
4ths 14-16 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 17-19 Po/Sho Pa/Sha Pu/Shu vA4/vd5 A4/d5 ^A4/^d5 vF#/vGb F#/Gb ^F#/^Gb
5ths 20-22 So Sa Su v5 P5 ^5 vG G ^G
6ths 23-28 Flo Fla Flu Lo La Lu vm6 m6 ^m6 vM6 M6 ^M6 vAb Ab ^Ab vA A ^A
7ths 29-34 Tho Tha Thu To Ta Tu vm7 m7 ^m7 vM7 M7 ^M7 vBb Bb ^Bb vB B ^B
8ves 35-36 (37) Do Da (Du) v8 P8 (^8) vC C (^C)
circles of fifths
plain

circle

0 21 6 27 12 33 18 3 24 9 30 15 36
Da Sa Ra La Ma Ta Pa
Sha Fra Fla Na Tha Fa Da
up

circle

1 22 7 28 13 34 19 4 25 10 31 16 1
Du Su Ru Lu Mu Tu Pu
Shu Fru Flu Nu Thu Fu Du
down

circle

35 20 5 26 11 32 17 2 23 8 29 14 35
Do So Ro Lo Mo To Po
Sho Fro Flo No Tho Fo Do

38edo

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 solfege names ups and downs names
unisons 0-2 Da Du Di/Fre P1 ^1 ^^1/vvm2 C ^C ^^C/vvDb
2nds 2-8 Di/Fre Fro Fra Ro Ra Ru Ri/Ne ^^1/vvm2 vm2 m2 ~2 M2 ^M2 ^^M2/vvm3 ^^C/vvDb vDb Db vD D ^D ^^D/vvEb
3rds 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 14-17 Mi/Fe Fo Fa Fu/Po ^^M3/vv4 v4 P4 ~4 ^^E/vvF vF F ^F
tritones 18-20 Pa/She Pu/Sho Pi/Sha A4/vvd5 ^A4/vd5 ^^A4/d5 F#/vvGb ^F#/vGb ^^F#/Gb
5ths 21-24 So Sa Su Si/Fle ~5 P5 ^5 ^^5/vvm6 vG G ^G ^^G/vvAb
6ths 24-30 Si/Fle Flo Fla Lo La Lu Li/The ^^5/vvm6 vm6 m6 ~6 M6 ^M6 ^^M6/vvm7 ^^G/vvAb vAb Ab vA A ^A ^^A/vvBb
7ths 30-36 Li/The Tho Tha To Ta Tu Ti/De ^^M6/vvm7 vm7 m7 ~7 M7 ^M7 ^^M7/vv8 ^^A/vvBb vBb Bb vB B ^B ^^B/vvC
8ves 36-38 Ti/De Do Da (Du Di) ^^M7/vv8 v8 P8 (^8 ^^8) ^^B/vvC vC C (^C ^^C)
circles of fifths
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
-e She Fre Fle Ne The Fe De
-i Di Si Ri Li Mi Ti Pi
-a Sha Fra Fla Na Tha Fa Da
perfect major in-between minor perfect
up/

down

circle

1 23 7 29 13 35 19 3 25 9 31 15 37 21 5 27 11 33 17 1
-u Du Su Ru Lu Mu Tu Pu
-o Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po
-u Fu Du
upperfect upmajor downminor downperfect mid upperfect

39edo

7 edos left! You can do it!!!

39 40 43 45 46 50 55

41edo

Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
41edo edosteps Da Ra Mo names ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2nds 2-8 Fro Fra Fru Ri Ro Ra Ru vm2 m2 ^m2 ~2 vM2 M2 ^M2 vDb Db ^Db vvD vD D ^D
3rds 9-15 No Na Nu Mi Mo Ma Mu vm3 m3 ^m3 ~3 vM3 M3 ^M3 vEb Eb ^Eb vvE vE E ^E
4ths 16-18 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 19-22 Fi/Sho Po/Sha Pa/Shu Pu/Si ~4/vd5 vA4/d5 A4/^d5 ^A4/~5 ^^F/vGb vF#/Gb F#/^Gb ^F#/vvG
5ths 23-25 So Sa Su v5 P5 ^5 vG G ^G
6ths 26-32 Flo Fla Flu Li Lo La Lu vm6 m6 ^m6 ~6 vM6 M6 ^M6 vAb Ab ^Ab vvA vA A ^A
7ths 33-39 Tho Tha Thu Ti To Ta Tu vm7 m7 ^m7 ~7 vM7 M7 ^M7 vBb Bb ^Bb vvB vB B ^B
8ves 40-41 (42) Do Da (Du) v8 P8 (^8) 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

Andrew's solfege
41edo edosteps solfege names ups and downs names
unisons 0-1 Do Di P1 ^1 C ^C
2nds 2-8 Ro Rih Ra Ru Reh Re Ri vm2 m2 ^m2 ~2 vM2 M2 ^M2 vDb Db ^Db vvD vD D ^D
3rds 9-15 Ma Meh Me Mu Mi Maa Mo vm3 m3 ^m3 ~3 vM3 M3 ^M3 vEb Eb ^Eb vvE vE E ^E
4ths 16-20 Fe Fa Fih Fu Fi v4 P4 ^4 ~4 vA4 vF F ^F ^^F vF#
5ths 21-25 Se Su Sih So (or Sol) Si ^d5 ~5 v5 P5 ^5 ^Gb vvG vG G ^G
6ths 26-32 Lo Leh Le Lu La Laa Li vm6 m6 ^m6 ~6 vM6 M6 ^M6 vAb Ab ^Ab vvA vA A ^A
7ths 33-39 Ta Teh Te Tu Ti Taa To vm7 m7 ^m7 ~7 vM7 M7 ^M7 vBb Bb ^Bb vvB vB B ^B
8ves 40-41 (42) Da Do (Di) v8 P8 (^8) vC C (^C)

48edo

uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 24edo
48edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di/Fre P1 ^1 ^^1/vvm2 C ^C ^^C/vvDb
2nds 2-10 Di/Fre Fro Fra Fru Fri/Re Ro Ra Ru Ri/Ne ^^1/vvm2 vm2 m2 ^m2 ~2 vM2 M2 ^M2 ^^M2/vvm3 ^^C/vvDb vDb Db ^Db ^^Db/vvD vD D ^D ^^D/vvEb
3rds 10-18 Ri/Ne No Na Nu Ni/Me Mo Ma Mu Mi/Fe ^^M2/vvm3 vm3 m3 ^m3 ~3 vM3 M3 ^M3 ^^M3/vv4 ^^D/vvEb vEb Eb ^Eb ^^Eb/vvE vE E ^E ^^E/vvF
4ths 18-21 Mi/Fe Fo Fa Fu ^^M3/vv4 v4 P4 ^4 ^^E/vvF vF F ^F
tritones 22-26 Fi/Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi/Se ^^4/vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5/vv5 ^^F/vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb/vvG
5ths 27-30 So Sa Su Si/Fle v5 P5 ^5 ^^5/vvm6 vG G ^G ^^G/vvAb
6ths 30-38 Si/Fle Flo Fla Flu Fli/Le Lo La Lu Li/The ^^5/vvm6 vm6 m6 ^m6 ~6 vM6 M6 ^M6 ^^M6/vvm7 ^^G/vvAb vAb Ab ^Ab ^^Ab/vvA vA A ^A ^^A/vvBb
7ths 38-46 Li/The Tho Tha Thu Thi/Te To Ta Tu Ti/De ^^M6/vvm7 vm7 m7 ^m7 ~7 vM7 M7 ^M7 ^^M7/vv8 ^^A/vvBb vBb Bb ^Bb ^^Bb/vvB vB B ^B ^^B/vvC
8ves 46-48 Ti/De Do Da (Du Di) ^^M7/vv8 v8 P8 (^8 ^^8) ^^B/vvC vC C (^C ^^C)
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), duplicate names are bolded
48edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
2nds 2-10 Fre Fro Fra Fru Fri/Re Ro Ra Ru Ri vvm2 vm2 m2 ^m2 ~2 vM2 M2 ^M2 ^^M2 vvDb vDb Db ^Db ^^Db/vvD vD D ^D ^^D
3rds 10-18 Ne No Na Nu Ni/Me Mo Ma Mu Mi vvm3 vm3 m3 ^m3 ~3 vM3 M3 ^M3 ^^M3 vvEb vEb Eb ^Eb ^^Eb/vvE vE E ^E ^^E
4ths 18-22 Fe Fo Fa Fu Fi vv4 v4 P4 ^4 ^^4 vvF vF F ^F ^^F
tritones 22-26 Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5 vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
5ths 26-30 Se So Sa Su Si vv5 v5 P5 ^5 ^^5 vvG vG G ^G ^^G
6ths 30-38 Fle Flo Fla Flu Fli/Le Lo La Lu Li vvm6 vm6 m6 ^m6 ~6 vM6 M6 ^M6 ^^M6 vvAb vAb Ab ^Ab ^^Ab/vvA vA A ^A ^^A
7ths 38-46 The Tho Tha Thu Thi/Te To Ta Tu Ti vvm7 vm7 m7 ^m7 ~7 vM7 M7 ^M7 ^^M7 vvBb vBb Bb ^Bb ^^Bb/vvB vB B ^B ^^B
8ves 46-48 De Do Da (Du Di) vv8 v8 P8 (^8 ^^8) vvC vC C (^C ^^C)

Fri/Ni/Fli/Thi are included to make the -i circle complete

circles of fifths
plain

circle

0 28 8 36 16 44 24 4 32 12 40 20 48
Da Sa Ra La Ma Ta Pa
Sha Fra Fla Na Tha Fa Da
up

circle

1 29 9 37 17 45 25 5 33 13 41 21 1
Du Su Ru Lu Mu Tu Pu
Shu Fru Flu Nu Thu Fu Du
down

circle

47 27 7 35 15 43 23 3 31 11 39 19 47
Do So Ro Lo Mo To Po
Sho Fro Flo No Tho Fo Do
mid /

inbetween

circle

2 30 10 38 18 46 26 6 34 14 42 22 2
Di Si Ri Li Mi Ti Pi
Shi Fri Fli Ni Thi Fi Di
Fre Fle Ne The Fe De Se Re Le Me Te Pe
She De

53edo

uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
53edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di/Fre P1 ^1 ^^1/vvm2
2nds 2-11 Di/Fre Fro Fra Fru Fri Re Ro Ra Ru Ri/Ne ^^1/vvm2 vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2/vvm3
3rds 11-20 Ri/Ne No Na Nu Ni Me Mo Ma Mu Mi/Fe ^^M2/vvm3 vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3/vv4
4ths 20-23 Mi/Fe Fo Fa Fu ^^M3/vv4 v4 P4 ^4
tritones 24-29 Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5
5ths 30-33 So Sa Su Si/Fle v5 P5 ^5 ^^5/vvm6
6ths 33-42 Si/Fle Flo Fla Flu Fli Le Lo La Lu Li/The ^^5/vvm6 vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6/vvm7
7ths 42-51 Li/The Tho Tha Thu Thi Te To Ta Tu Ti/De ^^M6/vvm7 vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7/vv8
8ves 51-53 (54 55) Ti/De Do Da (Du Di) ^^M7/vv8 v8 P8 (^8 ^^8)
Phylingual's solfege
53edo edosteps solfege names ups and downs names
unisons 0-2 Do Di Daw P1 ^1 ^^1
2nds 3-11 Ro Rih Ra Ru Ruh Reh Re Ri Raw vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
3rds 12-20 Ma Meh Me Mu Muh Mi Maa Mo Maw vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
4ths 21-26 Fe Fa Fih Fu Fuh Fi v4 P4 ^4 v~4 ^~4 vA4
5ths 27-33 Se Suh Su Sih So (or Sol) Si Saw ^d5 v~5 ^~5 v5 P5 ^5 ^^5
6ths 34-42 Lo Leh Le Lu Luh La Laa Li Law vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
7ths 43-51 Ta Teh Te Tu Tuh Ti Tih To Taw vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
8ves 52-(55) Da Do (Di Daw) v8 P8 (^8 ^^8)

60edo

Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 48edo
36edo edosteps solfege names ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
2nds 3-12 Fre Fro Fra Fru Fri Re Ro Ra Ru Ri vvm2 vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2 vvDb vDb Db ^Db ^^Db vvD vD D ^D ^^D
3rds 13-22 Ne No Na Nu Ni Me Mo Ma Mu Mi vvm3 vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3 vvEb vEb Eb ^Eb ^^Eb vvE vE E ^E ^^E
4ths 23-27 Fe Fo Fa Fu Fi vv4 v4 P4 ^4 v~4 vvF vF F ^F ^^F
tritones 28-32 Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi ^~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/v~5 vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
5ths 33-37 Se So Sa Su Si ^~5 v5 P5 ^5 ^^5 vvG vG G ^G ^^G
6ths 38-47 Fle Flo Fla Flu Fli Le Lo La Lu Li vvm6 vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6 vvAb vAb Ab ^Ab ^^Ab vvA vA A ^A ^^A
7ths 48-57 The Tho Tha Thu Thi Te To Ta Tu Ti vvm7 vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7 vvBb vBb Bb ^Bb ^^Bb vvB vB B ^B ^^B
8ves 58-60 De Do Da (Du Di) vv8 v8 P8 (^8 ^^8) vvC vC C (^C ^^C)
circles of fifths
plain

circle

0 35 10 45 20 55 30 5 40 15 50 25 60
Da Sa Ra La Ma Ta Pa
Sha Fra Fla Na Tha Fa Da
up

circle

1 36 11 46 21 56 31 6 41 16 51 26 1
Du Su Ru Lu Mu Tu Pu
Shu Fru Flu Nu Thu Fu Du
down

circle

59 34 9 44 19 54 29 64 39 74 49 84 59
Do So Ro Lo Mo To Po
Sho Fro Flo No Tho Fo Do
dup

circle

2 37 12 47 22 57 32 7 42 17 52 27 2
Di Si Ri Li Mi Ti Pi
Shi Fri Fli Ni Thi Fi Di
dud circle 58 33 8 43 18 53 28 3 38 13 48 23 58
De Se Re Le Me Te Pe
She Fre Fle Ne The Fe De
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