List of uniform solfeges for EDOs
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Enharmonic equivalents are listed as "extras". See Uniform solfege for a full explanation.
| 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 |
| 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)
| 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 |
| 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 | |||||||||
| 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 |
| 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 |
| 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 |
| 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 |
| 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 |
| 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 | interordinal | 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 |
| 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 |
| 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 |
| 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 | interordinal | 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 |
| 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.
| 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 |
| 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.
| 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
| 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 | ^^m2 | vvM2 vM2 | ^^Db | vvD vD |
| 5 | Ra / Na | M2 / m3 | D / Eb | ||||
| 3rds | 6-9 | Nu Ni | Mi Mo | ^m3 ^^m3 | vvM3 vM3 | ^Eb ^^Eb | vvE vE |
| 4ths | 10-11 | Fa Fu | P4 ^4 | F ^F | |||
| 12-13 | Fi/Shi Pi/Si | ^^4/^^d5 vvA4/vv5 | ^^F/^^Gb vvF#/vvG | ||||
| 5ths | 14-15 | So Sa | v5 P5 | vG G | |||
| 6ths | 16-19 | Flu Fli | Li Lo | ^m6 ^^m6 | vvM6 vM6 | ^Ab ^^Ab | vvA vA |
| 20 | La / Tha | M6 / m7 | A / Bb | ||||
| 7ths | 21-23 | Thu Thi | Ti | ^m7 ^^m7 | vvM7 | ^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
- dup circle of 5ths: Fi/Shi Fri Fli Ni Thi Fi/Shi
- dud 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
- interordinal 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
| 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 ^^m2 | vvM2 vM2 M2 | Db(^C) ^Db ^^Db | vvD vD D |
| 3rds | 7-12 | Na Nu Ni | Mi Mo Ma | m3 ^m3 ^^m2 | vvM3 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 ^^4/^d5 vvA4/^^d5 vA4/vv5 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 ^^m6 | vvM6 vM6 M6 | Ab ^Ab ^^Ab | vvA vA A |
| 7ths | 26-31 | Tha Thu Thi | Ti To Ta(Do) | m7 ^m7 ^^m7 | vvM7 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.
| 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 | interordinal | 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
| 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 | interordinal | 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
| 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 ^^m2 | vvM2 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 ^^m3 | vvM3 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 | ^^4/d5 vvA4/^d5 vA4/^^d5 A4/vv5 | ^^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 ^^m6 | vvM6 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 ^^m7 | vvM7 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/interordinal 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. Could use 5 vowels by using -e for dud.
| 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 ^^m2 | vvM2 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 ^^m3 | vvM3 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 | ^^4/vd5 vvA4/d5 vA4/^d5 A4/^^d5 ^A4/vv5 | ^^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 ^^m6 | vvM6 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 ^^m7 | vvM7 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 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 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/interordinal 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 ^^m2 | vvM2 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 ^^m3 | vvM3 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 |
^^4/vvd5 vvA4/vd5 vA4/d5 A4/^d5 ^A4/^^d5 ^^A4/vv5 |
^^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 ^^m6 | vvM6 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 ^^m7 | vvM7 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 ^^m2 | vvM2 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 ^^m3 | vvM3 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 ^^4 | vvF vF F ^F ^^F | |||
| tritones | 28-32 | 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 | 33-37 | Se So Sa Su Si | vv5 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 ^^m6 | vvM6 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 ^^m7 | vvM7 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