List of uniform solfeges for EDOs

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Enharmonic equivalents are listed as "extras". See Uniform solfege for a full explanation.

the 13 consonants
D- Fr- R- N- M- F- P- Sh- S- Fl- L- Th- T- D-
Do flat Re Re flat Mi Mi Fa sharp Fa flat Sol Sol flat La La flat Ti Ti Do
the four vowel sequences
1 vowel -a = plain
3 vowels -o = down -a = plain -u = up
4 vowels -i = mid -o = down -a = plain -u = up -i = mid
5 vowels -e = dud -o = down -a = plain -u = up -i = dup
  • In sharp-1 edos, -u/-o = augmented/diminished and -i/-e = doubly augmented/diminished.
  • In flat-1 edos, -u = diminished and -o = augmented.

5edo (1 vowel)

No Fra, Pa, Sha or Ta.

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
solfege Da Ra / Na Fa Sa La / Tha Da
extras Ma Fla

Circle of 5ths: Da Sa Ra/Na La/Tha Fa Da

Solfege string: MaThaFaLaDaNa

7edo (1 vowel)

Only 7 consonants.

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
solfege Da Ra Ma Fa Sa La Ta Da

Circle of 5ths: Da Sa Ra La Ma Ta Fa Da

Solfege string: MaTaFaLaRaMa

9edo (1 vowel)

9edo 0 1 2 3 4 5 6 7 8 9
cents 0 133 267 400 533 667 800 933 1067 1200
notes C D Db / E Eb / F# F G Gb / A Ab / B Bb C
intervals P1 M2 m2 / M3 m3 / A4 P4 P5 d5 / M6 m6 / M7 m7 P8
solfege Da Ra Fra / Ma Na / Pa Fa Sa Sha / La Fla / Ta Tha Da

Circle of 5ths: Da Sa Ra La/Sha Ma/Fra Ta/Fla Pa/Na Tha Fa Da

Solfege string: NaTaFaLaRaMa

10edo (3 vowels)

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
extras Du / Fru Nu Ma Fu / Shu Fla Flu Thu / Do
  • plain circle of 5ths: Da Sa Ra/Na La/Tha Fa Da
  • down circle of 5ths: Ro Lo Mo To Po/So Ro

Solfege string: MoThaPoLoRoNa

11edo (4 vowels)

No Pa or Sha.

11edo 0 1 2 3 4 5 6 7 8 9 10 11
cents 0 109 218 327 436 545 655 764 873 982 1091 1200
notes C ^C / D ^D / E Db / ^E Eb / vF F / vG ^F / G ^G / A ^A / B Ab / ^B Bb / vC C
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 Du / Ra Ri / Ma Fra / Mi Na / Fo Fa / So Fu / Sa Su / La Li / Ta Fla / Ti Tha / Do Da

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

Solfege string: NaTiFaLiRaMi

12edo (conventional and uniform)

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 (-a = plain, -u = aug, -o = dim)
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 Tho 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

Solfege string: MaThaPaFlaFraNa

13b-edo (3 vowels)

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

Solfege string: NoTuFaLuRaMu

14edo (3 vowels)

Only 7 consonants.

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
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

Solfege string: MuToFaLaRoMo

15edo (3 vowels)

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 Ma Fla 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

Solfege string: MoThaFuLoFruNu

16edo (3 vowels)

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

Solfege string: NaTaFaLaRoNo

17edo (3 vowels)

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

Solfege string: MoThaFuLoFraNa

18b-edo (3 vowels)

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

vGb / 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

Solfege string: NaThoFaLuRaMa

19edo (3 vowels)

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

Solfege string: MaThoPaFlaFraNa

20edo (4 vowels)

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 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 Fra Du Fri Ni Ma Fi Fla Fli Thi Do Ta
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

Solfege string: MiThaFuLiRiNu

21edo (3 vowels)

Only 7 consonants.

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
  • plain circle of 5ths: Da Sa Ra La Ma Ta Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Fu Du
  • down circle of 5ths: Do So Ro Lo Mo To Fo Do

Solfege string: MuToFuLaRoMo

22edo (3 vowels)

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

Gb

vF#

^Gb

F#

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

d5

vA4

^d5

A4

v5

P5 m6 ^m6 vM6 M6 m7 ^m7 vM7 M7

v8

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

The extra names Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 4 names.

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

Solfege string: MoThaFuFluFruNa

23edo (3 vowels)

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

Solfege string: NaTaFuLaRoNo

24edo (3 vowels)

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

^A4

~5

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

The extra names Fru, Nu, Flu and Thu are included to complete the -u circle, so that one can do interval arithmetic within it.

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

Solfege string: MaThoPoLoFraNa

25edo (4 vowels)

-i = dup/dud = downmid/upmid

25edo edosteps solfege ups and downs names
unisons 0 Da P1 C
1 Du / Fru ^1 / ^m2 ^C / ^Db
2nds 2-4 Fri Ri Ro v~2 ^~2 vM2 ^^Db vvD vD
5 Ra / Na M2 / m3 D / Eb
3rds 6-9 Nu Ni Mi Mo ^m3 v~3 ^~3 vM3 ^Eb ^^Eb vvE vE
4ths 10-11 Fa Fu P4 ^4 F ^F
12-13 Fi/Shi Pi/Si v~4/v~5 ^~4/^~5 ^^F/^^Gb vvF#/vvG
5ths 14-15 So Sa v5 P5 vG G
6ths 16-19 Flu Fli Li Lo ^m6 v~6 ^~6 vM6 ^Ab ^^Ab vvA vA
20 La / Tha M6 / m7 A / Bb
7ths 21-23 Thu Thi Ti ^m7 v~7 ^~7 ^Bb ^^Bb vvB
24 To / Do vM7 / v8 vB / vC
8ves 25 Da P8 C

Extra names: Fra=Da, Ma=Fa, Fla=Sa, Ta=Da

  • plain circle of 5ths: Da Sa Ra/Na La/Tha Fa Da
  • up circle of 5ths: Fu Du/Fru Flu Nu Thu Fu
  • downmid circle of 5ths: Fi/Shi Fri Fli Ni Thi Fi/Shi
  • upmid circle of 5ths: Pi/Si Ri Li Mi Ti Pi/Si
  • down circle of 5ths: So Ro Lo Mo To/Do So

Solfege string: MiThaFuLiFriNu

26edo (3 vowels)

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 Do Da d8 P8 Cb 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

Solfege string: MaThoPaFlaFroNo

27edo (4 vowels)

27edo edosteps solfege ups and downs names
unisons 0 Da P1 C
2nds 1-5 Fra(Du) Fru Ri Ro Ra m2(^1) ^m2 ~2 vM2 M2 Db(^C) ^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 27 Da P8 C

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

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

Solfege string: MoThaFuLiFruNu

28edo (5 vowels)

Only 7 consonants.

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

Solfege string: MuToFuLaReMo

29edo (3 vowels)

29edo edosteps solfege ups and downs names
unisons 0 Da P1 C
1 Du/Fro ^1/vm2 ^C/vDb
2nds 2-5 Fra Fru Ro Ra m2 ^m2 vM2 M2 Db ^Db vD D
6 Ru/No ^M2/vm3 ^D/vEb
3rds 7-10 Na Nu Mo Ma m3 ^m3 vM3 M3 Eb ^Eb vE E
11 Mu/Fo ^M3/v4 ^E/vF
4ths 12-13 Fa Fu P4 ^4 F ^F
14-15 Po/Sha Pa/Shu vA4/d5 A4/^d5 vF#/Gb F#/^Gb
5ths 16-17 So Sa v5 P5 vG G
18 Su/Flo ^5/vm6 ^G/vAb
6ths 19-22 Fla Flu Lo La m6 ^m6 vM6 M6 Ab ^Ab vA A
23 Lu/Tho ^M6/vm7 ^A/vBb
7ths 24-27 Tha Thu To Ta m7 ^m7 vM7 M7 Bb ^Bb vB B
28 Tu/Do ^M7/v8 ^B/vC
8ves 29 Da P8 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

Solfege string: MoThoFuFluFruNa

31edo (3 vowels)

31edo edosteps solfege 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 Do Da v8 P8 vC C

Extra names: Fru=Ro, Nu=Mo, Shu=So, Flu=Lo, Thu=To. (Po is needed to connect the -o fifthchain to the -u fifthchain.)

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

Solfege string: MaThoPoLoFraNa

32edo (4 vowels)

-i = dup/dud = downmid/upmid

32edo edosteps solfege ups and downs names
unisons 0 Da P1 C
2nds 1-6 Fra(Du) Fru Fri Ri Ro Ra m2(^1) ^m2 v~2 ^~2 vM2 M2 Db(^C) ^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 32 Da P8 C

The extra names Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 6 names.

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

Solfege string: MiThaFiFliFriNu

33edo (5 vowels)

33edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 A1 C C#
2 Di/Fre AA1/dd2 Cx/Dbb
2nds 3-6 Fro Fra Ra Ru d2 m2 M2 A2 Dbb Db D D#
7 Ri/Ne AA2/dd3 Dx/Ebbb
3rds 8-11 No Na Ma Mu d3 m3 M3 A3 Ebb Eb E E#
12 Mi/Fe AA3/dd4 Ex/Fbb
4ths 13-15 Fo Fa Fu/Pa d4 P4 A4 Fb F F#
tritones 16-17 Fi/Pu/She Pi/Sho/Se AA4/ddd5 AAA4/dd5 Fx/Gbbb Fx#/Gbb
5ths 18-20 Sha/So Sa Su d5 P5 A5 Gb G G#
21 Si/Fle AA5/dd6 Gx/Abbb
6ths 22-25 Flo Fla La Lu d6 m6 M6 A6 Abb Ab A A#
26 Li/The AA6/dd7 Ax/Bbbb
7ths 27-30 Tho Tha Ta Tu d7 m7 M7 A7 Bbb Bb B B#
31 Ti/De AA7/dd8 Bx/Cbb
8ves 32-33 Do Da d8 P8 Cb C

Circle of 5ths: 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

Solfege string: MuThoPaFlaFroNo

34edo (4 vowels)

See also 17edo's solfege.

34edo edosteps solfege ups and downs names
unisons 0 Da P1 C
1 Du / Fro ^1/vm2 ^C/vDb
2nds 2-6 Fra Fru Ri Ro Ra m2 ^m2 ~2 vM2 M2 Db ^Db vvD vD D
7 Ru / No ^M2/vm3 ^D/vEb
3rds 8-12 Na Nu Mi Mo Ma m3 ^m3 ~3 vM3 M3 Eb ^Eb vvE vE E
13 Mu / Fo ^M3/v4 ^E/vF
4ths 14-15 Fa Fu P4 ^4 F ^F
tritones 16-18 Fi/Sha Po/Shu Pa/Si ~4/d5 vA4/^d5 A4/~5 ^^F/Gb vF#/^Gb F#/vvG
5ths 19-20 So Sa v5 P5 vG G
21 Su / Flo ^5/vm6 ^G/vAb
6ths 22-26 Fla Flu Li Lo La m6 ^m6 ~6 vM6 M6 Ab ^Ab vvA vA A
27 Lu / Tho ^M6/vm7 ^A/vBb
7ths 28-32 Tha Thu Ti To Ta m7 ^m7 ~7 vM7 M7 Bb ^Bb vvB vB B
33 Tu / Do ^M7/v8 ^B/vC
8ves 34 Da P8 C

Extra names: Fri=Ri, Ni=Mi, Fli=Li, Thi=Ti.

circles 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

Solfege string: MoThoFiLiFruNa

35edo (5 vowels)

Only 7 consonants.

35edo edosteps solfege 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 De Do Da vv8 v8 P8 vvC vC C
  • plain circle of 5ths: Da Sa Ra La Ma Ta Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Fu Du
  • dup circle of 5ths: Di Si Ri Li Mi Ti Fi Di
  • dud circle of 5ths: De Se Re Le Me Te Fe De
  • down circle of 5ths: Do So Ro Lo Mo To Fo Do

Solfege string: MuTeFuLaReMo

36edo (3 vowels)

36edo edosteps solfege 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 Do Da v8 P8 vC C
  • plain circle of 5ths: Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Pu/ShuFru Flu Nu Thu Fu Du
  • down circle of 5ths: Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do

Solfege string: MaThoPoFluFraNa

38edo (5 vowels)

contains 19edo's solfege, but with u --> i and o --> e.

38edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2 Di/Fre ^^1/vvm2 ^^C/vvDb
2nds 3-7 Fro Fra Ro Ra Ru vm2 m2 ~2 M2 ^M2 vDb Db vD D ^D
8 Ri/Ne ^^M2/vvm3 ^^D/vvEb
3rds 9-13 No Na Mo Ma Mu vm3 m3 ~3 M3 ^M3 vEb Eb vE E ^E
14 Mi/Fe ^^M3/vv4 ^^E/vvF
4ths 15-17 Fo Fa Fu/Po v4 P4 ~4 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 21-23 So Sa Su ~5 P5 ^5 vG G ^G
24 Si/Fle ^^5/vvm6 ^^G/vvAb
6ths 25-29 Flo Fla Lo La Lu vm6 m6 ~6 M6 ^M6 vAb Ab vA A ^A
30 Li/The ^^M6/vvm7 ^^A/vvBb
7ths 31-35 Tho Tha To Ta Tu vm7 m7 ~7 M7 ^M7 vBb Bb vB B ^B
36 Ti/De ^^M7/vv8 ^^B/vvC
8ves 37-38 Do Da v8 P8 vC C

Extra names: Fru=Ro, Nu=Mo, Shu=So, Flu=Lo, Thu=To

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

Solfege string: MaThoPoLoFroNo

39edo (4 vowels)

-i = dup/dud = downmid/upmid

39edo edosteps solfege ups and downs names
unisons 0 Da P1 C
1 Du/Fro ^1/vm2 ^C/vDb
2nds 2-7 Fra Fru Fri Ri Ro Ra m2 ^m2 v~2 ^~2 vM2 M2 Db ^Db ^^Db vvD vD D
8 Ru/No ^M2/vm3 ^D/vEb
3rds 9-14 Na Nu Ni Mi Mo Ma m3 ^m3 v~3 ^~3 vM3 M3 Eb ^Eb ^^Eb vvE vE E
15 Mu/Fo ^M3/v4 ^E/vF
4ths 16-17 Fa Fu P4 ^4 F ^F
tritones 18-21 Fi/Sha Pi/Shu Po/Shi Pa/Si v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5 ^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG
5ths 22-23 So Sa v5 P5 vG G
24 Su/Flo ^5/vm6 ^G/vAb
6ths 25-30 Fla Flu Fli Li Lo La m6 ^m6 v~6 ^~6 vM6 M6 Ab ^Ab ^^Ab vvA vA A
31 Lu/Tho ^M6/vm7 ^A/vBb
7ths 32-37 Tha Thu Thi Ti To Ta m7 ^m7 v~7 ^~7 vM7 M7 Bb ^Bb ^^Bb vvB vB B
38 Tu/Do ^M7/v8 ^B/vC
8ves 39 Da P8 C

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu Du/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/Do So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa Da

Solfege string: MoThoFiFliFruNu

40edo (5 vowels)

40edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di P1 A1 AA1 C C# Cx
2nds 3-8 Fre Fro Fra Ra Ru Ri dd2 d2 m2 M2 A2 AA2 Dbbb Dbb Db D D# Dx
3rds 9-14 Ne No Na Ma Mu Mi dd3 d3 m3 M3 A3 AA3 Ebbb Ebb Eb E E# Ex
4ths 15-18 Fe Fo Fa Fu/Pa dd4 d4 P4 A4 Fbb Fb F F#
tritone 19-21 Fi/Pu Pi/She Sho/Se AA4 AAA4/ddd5 dd5 Fx Fx#/Gbbb Gbb
5ths 22-25 Sha/So Sa Su Si d5 P5 A5 AA5 Gb G G# Gx
6ths 26-31 Fle Flo Fla La Lu Li dd6 d6 m6 M6 A6 AA6 Abbb Abb Ab A A# Ax
7ths 32-37 The Tho Tha Ta Tu Ti dd7 d7 m7 M7 A7 AA7 Bbbb Bbb Bb B B# Bx
8ves 38-40 De Do Da dd8 d8 P8 Cbb Cb C

Circle of 5ths: 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

Solfege string: MuThePaFlaFreNo

41edo (4 vowels)

41edo edosteps solfege 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 Do Da v8 P8 vC C

Extra names: Fri=Ri, Ni=Mi, Fli=Li, Thi=Ti.

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Fi/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa Da

  • plain segment: Da Sa Ra La Ma Ta Pa/Shu
  • up segment: Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Si
  • mid segment: Si Ri Li Mi Ti Fi/Sho
  • down segment: Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Sha
  • plain segment: Sha Fra Fla Na Tha Fa Da

Solfege string: MoThoFiLiFraNa

See also 41edo solfege.

43edo (5 vowels)

43edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2 Di/Fre ^^1/vvm2 ^^C/vvDb
2nds 3-8 Fro Fra Fru Ro Ra Ru vm2 m2 ^m2 vM2 M2 ^M2 vDb Db ^Db vD D ^D
9 Ri/Ne ^^M2/vvm3 ^^D/vvEb
3rds 10-15 No Na Nu Mo Ma Mu vm3 m3 ^m3 vM3 M3 ^M3 vEb Eb ^Eb vE E ^E
16 Mi/Fe ^^M3/vv4 ^^E/vvF
4ths 17-19 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 20-23 Po/She Pa/Sho Pu/Sha Pi/Shu vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5 vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
5ths 24-26 So Sa Su v5 P5 ^5 vG G ^G
27 Si/Fle ^^5/vvm6 ^^G/vvAb
6ths 28-33 Flo Fla Flu Lo La Lu vm6 m6 ^m6 vM6 M6 ^M6 vAb Ab ^Ab vA A ^A
34 Li/The ^^M6//vvm7 ^^A/vvBb
7ths 35-40 Tho Tha Thu To Ta Tu vm7 m7 ^m7 vM7 M7 ^M7 vBb Bb ^Bb vB B ^B
41 Ti/De ^^M7/vv8 ^^B/vvC
8ves 42-43 Do Da v8 P8 vC C

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/She Di/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/De Pi/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa Da

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

Solfege string: MaThoPoFluFraNa

45edo (5 vowels)

-i = dup = aug, -e = dud = dim.

45edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di P1 ^1 A1 C ^C C#
2nds 3-9 Fre Fro Fra Ro Ra Ru Ri d2 vm2 m2 ~2 M2 ^M2 A2 Dbb vDb Db vD D ^D D#
3rds 10-16 Ne No Na Mo Ma Mu Mi d3 vm3 m3 ~3 M3 ^M3 A3 Ebb vEb Eb vE E ^E E#
4ths 17-20 Fe Fo Fa Fu/Po d4 v4 P4 ~4 Fb vF F ^F
tritones 21-24 Fi/Pa Pu/She Pi/Sho Sha/Se A4 ^A4/dd5 AA4/vd5 d5 F# ^F#/Gbb Fx/vGb Gb
5ths 25-28 So Sa Su Si ~5 P5 ^5 A5 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 De Do Da d8 v8 P8 Cb vC C

Extra names: Fru=Ro, Nu=Mo, Shu=So, Flu=Lo, Thu=To.

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Fi Di Si Ri Li Mi Ti Pi/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Fu Du Su Ru Lu Mu Tu Pu/She Fre Fle Ne The Fe De Se/Sha Fra Fla Na Tha Fa Da

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

Solfege string: MaThePaLoFroNo

46edo (5 vowels)

-i = dup/dud = downmid/upmid. Could use 5 vowels by using -e for dud/upmid.

46edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2nds 2-9 Fro Fra Fru Fri Ri Ro Ra Ru vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 vDb Db ^Db ^^Db vvD vD D ^D
3rds 10-17 No Na Nu Ni Mi Mo Ma Mu vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 vEb Eb ^Eb ^^Eb vvE vE E ^E
4ths 18-20 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 21-25 Fi/Sho Pi/Sha Po/Shu Pa/Shi Pu/Si v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5 ^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG
5ths 26-28 So Sa Su v5 P5 ^5 vG G ^G
6ths 29-36 Flo Fla Flu Fli Li Lo La Lu vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 vAb Ab ^Ab ^^Ab vvA vA A ^A
7ths 37-44 Tho Tha Thu Thi Ti To Ta Tu vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 vBb Bb ^Bb ^^Bb vvB vB B ^B
8ves 45-46 Do Da v8 P8 vC C

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Shi Fri Fli Ni Thi Fi/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa Da

  • plain segment: Da Sa Ra La Ma Ta Pa/Shi
  • dup/downmid segment: Shi Fri Fli Ni Thi Fi/Sho
  • down segment: Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Shu
  • up segment: Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Si
  • dud/upmid segment: Si Ri Li Mi Ti Pi/Sha
  • plain segment: Sha Fra Fla Na Tha Fa Da

Solfege string: MoThoFiFliFruNa

48edo (5 vowels)

contains 24edo's solfege, but with u --> i and o --> e.

48edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2 Di/Fre ^^1/vvm2 ^^C/vvDb
2nds 3-9 Fro Fra Fru Fri/Re Ro Ra Ru vm2 m2 ^m2 ~2 vM2 M2 ^M2 vDb Db ^Db ^^Db/vvD vD D ^D
10 Ri/Ne ^^M2/vvm3 ^^D/vvEb
3rds 11-17 No Na Nu Ni/Me Mo Ma Mu ^vm3 m3 ^m3 ~3 vM3 M3 ^M3 vEb Eb ^Eb ^^Eb/vvE vE E ^E
18 Mi/Fe ^^M3/vv4 ^^E/vvF
4ths 19-21 Fo Fa Fu v4 P4 ^4 vF F ^F
tritones 22-26 Fi/Pe/She Po/Sho Pa/Sha
Pu/Shu Pi/Shi/Se 		~4/vvd5 vA4/vd5 A4/d5
^A4/^d5 ^^A4/~5 		^^F/vvF#/vvGb vF#/vGb F#/Gb
^F#/^Gb ^^F#/^^Gb/vvG
5ths 27-29 So Sa Su v5 P5 ^5 vG G ^G
30 Si/Fle ^^5/vvm6 ^^G/vvAb
6ths 31-37 Flo Fla Flu Fli/Le Lo La Lu vm6 m6 ^m6 ~6 vM6 M6 ^M6 vAb Ab ^Ab ^^Ab/vvA vA A ^A
38 Li/The ^^M6/vvm7 ^^A/vvBb
7ths 39-45 Tho Tha Thu Thi/Te To Ta Tu vm7 m7 ^m7 ~7 vM7 M7 ^M7 vBb Bb ^Bb ^^Bb/vvB vB B ^B
46 Ti/De ^^M7/vv8 ^^B/vvC
8ves 47-48 Do Da v8 P8 vC C

The extra names Fri/Ni/Fli/Thi are included to make the -i circle complete, so that one can do interval arithmetic within it.

  • plain circle of 5ths: Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Pu/ShuFru Flu Nu Thu Fu Du
  • down circle of 5ths: Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do
  • mid/inbetween circle of 5ths: Di/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/De Pi/Shi/Se Fri/Re Fli/Le Ni/Me Thi/Te Fi/Pe/She Di/Fre

Solfege string: MoThoPeLeFraNa

50edo (5 vowels)

50edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
2nds 3-10 Fre Fro Fra Fru Ro Ra Ru Ri vvm2 vm2 m2 ^m2 vM2 M2 ^M2 ^^M2 vvDb vDb Db ^Db vD D ^D ^^D
3rds 11-18 Ne No Na Nu Mo Ma Mu Mi vvm3 vm3 m3 ^m3 vM3 M3 ^M3 ^^M3 vvEb vEb Eb ^Eb vE E ^E ^^E
4ths 19-22 Fe Fo Fa Fu vv4 v4 P4 ^4 vvF vF F ^F
tritones 23-27 Fi/Po Pa/She Pu/Sho
Pi/Sha Shu/Se 		^^4/vA4 A4/vvd5 ^A4/vd5
^^A4/d5 ^d5/vv5 		^^F/vF# F#/vvGb ^F#/vGb
^^F#/Gb ^Gb/vvG
5ths 28-31 So Sa Su Si v5 P5 ^5 ^^5 vG G ^G ^^G
6ths 32-39 Fle Flo Fla Flu Lo La Lu Li vvm6 vm6 m6 ^m6 vM6 M6 ^M6 ^^M6 vvAb vAb Ab ^Ab vA A ^A ^^A
7ths 40-47 The Tho Tha Thu To Ta Tu Ti vvm7 vm7 m7 ^m7 vM7 M7 ^M7 ^^M7 vvBb vBb Bb ^Bb vB B ^B ^^B
8ves 48-50 De Do Da vv8 v8 P8 vvC vC C

Circle of 5ths: Da Sa Ra La Ma Ta Pa/She Fre Fle Ne The Fe De Se/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Fi Di Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa Da

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

Solfege string: MaThePoFluFroNo

53edo (5 vowels)

53edo edosteps solfege ups and downs names
unisons 0-1 Da Du P1 ^1 C ^C
2 Di/Fre ^^1/vvm2 ^^C/vvDb
2nds 3-10 Fro Fra Fru Fri Re Ro Ra Ru vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 vDb Db ^Db ^^Db vvD vD D ^D
11 Ri/Ne ^^M2/vvm3 ^^D/vvEb
3rds 12-19 No Na Nu Ni Me Mo Ma Mu vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 vEb Eb ^Eb ^^Eb vvE vE E ^E
20 Mi/Fe ^^M3/vv4 ^^E/vvF
4ths 21-23 Fo Fa Fu v4 P4 ^4 vF F ^F
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 		^^F/vvGb vvF#/vGb vF#/Gb
F#/^Gb ^F#/^^Gb ^^F#/vvG
5ths 30-32 So Sa Su v5 P5 ^5 vG G ^G
33 Si/Fle ^^5/vvm6 ^^G/vvAb
6ths 34-41 Flo Fla Flu Fli Le Lo La Lu vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 vAb Ab ^Ab ^^Ab vvA vA A ^A
42 Li/The ^^M6/vvm7 ^^A/vvBb
7ths 43-50 Tho Tha Thu Thi Te To Ta Tu vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 vBb Bb ^Bb ^^Bb vvB vB B ^B
51 Ti/De ^^M7/vv8 ^^B/vvC
8ves 52-53 Do Da v8 P8 vC C

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Shi Fri Fli Ni Thi Fi/She Di/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/De Pi/Se Re Le Me Te Pe/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa Da

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

Solfege string: MoThoFiFliFruNa

55edo (5 vowels)

55edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
2nds 3-11 Fre Fro Fra Fru Re Ro Ra Ru Ri vvm2 vm2 m2 ^m2 ~2 vM2 M2 ^M2 ^^M2 vvDb vDb Db ^Db vvD vD D ^D ^^D
3rds 12-20 Ne No Na Nu Me Mo Ma Mu Mi vvm3 vm3 m3 ^m3 ~3 vM3 M3 ^M3 ^^M3 vvEb vEb Eb ^Eb vvE vE E ^E ^^E
4ths 21-25 Fe Fo Fa Fu Fi/Pe vv4 v4 P4 ^4 ~4 vvF vF F ^F ^^F
tritones 26-29 Po/She Pa/Sho Pu/Sha Pi/Shu vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5 vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb
5ths 30-34 Se So Sa Su Si ~5 v5 P5 ^5 ^^5 vvG vG G ^G ^^G
6ths 35-43 Fle Flo Fla Flu Le Lo La Lu Li vvm6 vm6 m6 ^m6 ~6 vM6 M6 ^M6 ^^M6 vvAb vAb Ab ^Ab vvA vA A ^A ^^A
7ths 44-52 The Tho Tha Thu Te To Ta Tu Ti vvm7 vm7 m7 ^m7 ~7 vM7 M7 ^M7 ^^M7 vvBb vBb Bb ^Bb vvB vB B ^B ^^B
8ves 53-55 De Do Da vv8 v8 P8 vvC vC C

Extra names: Fri=Re, Ni=Me, Shi=Se Fli=Le, Thi=Te

Circle of 5ths: Da Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/She Fre Fle Ne The Fe De Se Re Le Me Te Pe/Fi Di Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu Du Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa Da

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

Solfege string: MaThePeLeFraNa

60edo (5 vowels)

60edo edosteps solfege 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 vv8 v8 P8 vvC vC C
  • plain circle of 5ths: Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Pu/ShuFru Flu Nu Thu Fu Du
  • down circle of 5ths: Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do
  • dup circle of 5ths: Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
  • dud circle of 5ths: De Se Re Le Me Te Pe/She Fre Fle Ne The Fe De

Solfege string: MoThePeFliFraNa

Bonus edo: 72edo (7 vowels)

-ih = trup and -uh = trud. If compound vowels are allowed, -ih could become -iyu ("dup-up") and -uh could become -eyo ("dud-down").

72edo edosteps solfege ups and downs names
unisons 0-2 Da Du Di P1 ^1 ^^1 C ^C ^^C
3 Dih/Fruh ^31 / v3m2 ^3C / v3Db
minor 2nds 4-8 Fre Fro Fra Fru Fri vvm2 vm2 m2 ^m2 v~2 vvDb vDb Db ^Db ^^Db
major 2nds 9-14 Ruh Re Ro Ra Ru Ri ~2 ^~2 vM2 M2 ^M2 ^^M2 v3D vvD vD D ^D ^^D
15 Rih/Nuh ^3M2 / v3m3 ^3D / v3Eb
minor 3rds 16-20 Ne No Na Nu Ni vvm3 vm3 m3 ^m3 v~3 vvEb vEb Eb ^Eb ^^Eb
major 3rds 21-26 Muh Me Mo Ma Mu Mi ~3 ^~3 vM3 M3 ^M3 ^^M3 v3E vvE vE E ^E ^^E
27 Mih/Fuh ^3M3 / v34 ^3E / v3F
4ths 28-32 Fe Fo Fa Fu Fi vv4 v4 P4 ^4 v~4 vvF vF F ^F ^^F
tritones 33-39 Puh/Shuh Pe/She Po/Sho Pa/Sha
Pu/Shu Pi/Shi Pih/Shih 		~4/v3d5 ^~4/vvd5 vA4/vd5 A4/d5
^A4/^d5 ^^A4/v~5 ^3A4/~5 		v3F#/v3Gb vvF#/vvGb vF#/vGb F#/Gb
^F#/^Gb ^^F#/^^Gb ^3F#/^3Gb
5ths 40-44 Se So Sa Su Si ^~5 v5 P5 ^5 ^^5 vvG vG G ^G ^^G
45 Sih/Fluh ^35 / v3m6 ^3G / v3Ab
minor 6ths 46-50 Fle Flo Fla Flu Fli vvm6 vm6 m6 ^m6 v~6 vvAb vAb Ab ^Ab ^^Ab
major 6ths 51-56 Luh Le Lo La Lu Li ~6 ^~6 vM6 M6 ^M6 ^^M6 v3A vvA vA A ^A ^^A
57 Lih/Thuh ^3M6 / v3m7 ^3A / v3Bb
minor 7ths 58-62 The Tho Tha Thu Thi vvm7 vm7 m7 ^m7 v~7 vvBb vBb Bb ^Bb ^^Bb
major 7ths 63-68 Tuh Te To Ta Tu Ti ~7 ^~7 vM7 M7 ^M7 ^^M7 v3B vvB vB B ^B ^^B
69 Tih/Duh ^3M7 / v38 ^3B / v3C
8ves 70-72 De Do Da vv8 v8 P8 vvC vC C

Extra names: Frih=Ruh, Nih=Muh, Fih=Puh, Suh=Shih, Flih=Luh, Thih=Tuh

  • plain circle of 5ths: Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
  • up circle of 5ths: Du Su Ru Lu Mu Tu Pu/ShuFru Flu Nu Thu Fu Du
  • down circle of 5ths: Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do
  • dup circle of 5ths: Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
  • dud circle of 5ths: De Se Re Le Me Te Pe/She Fre Fle Ne The Fe De
  • trup/trud circle of 5ths: Dih/Fruh Sih/Fluh Rih/Nuh Lih/Thuh Mih/Fuh Tih/Duh Pih/Shih Ruh Luh Muh Tuh Puh/Shuh Dih/Fruh

Solfege string: MoThePuhFliFraNa

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