User:TallKite/Solfeges: Difference between revisions

The vowel sequence varies depending on the edo or pergen. There is always -a for pl'''a'''in, and almost always -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or -i for dup (double-up) and -e for dud (double-down).

!3 vowels

!14-22, etc,

=== Example Scales ===

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

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! rowspan="2" |3-limit

If 81/80 maps to 1 edostep, then gu/yo = up/down. Likewise with the other commas. The table below shows that almost every edo has at least one such correlation. Parentheses are used when the prime's relative error is high, e.g. 12edo's prime 11.

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colorspeak correlations for all 25 diatonic edos that have uniform solfeges with 5 vowels or less

== About the edo list ==

This list only includes edos that have uniform solfeges, which are edos with both sharpness and penta-sharpness of 5 or less. Smaller edos are included with numeric solfeges. Excluded edos: 30, 37, 42, 44, 47, 49, 51-52, 54, 56-59, and everything under 5 or over 60. A total of 43 edos, and 41 uniform solfeges.

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!

== 5edo ==

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various solfeges

|Da

|}

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uniform circle of fifths

== 6edo ==

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BC & numeric solfeges

== 7edo ==

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BC & uniform solfeges

|Da

|}

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circle of fifths

== 8edo ==

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numeric solfege

== 9edo ==

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numeric solfege

|Wa

|}

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uniform solfege (-a = plain)

== 10edo ==

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numeric solfege

|Wa

|}

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uniform solfege (-a = plain, -o = down)

|

|}

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'''circles of fifths'''

== 11edo ==

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numeric solfege, see also edos 8-10

|Wa

|}

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid)

|}

Of qustionable merit. Circle of 5ths: Da Sa/Fu Ra/Du La/Su Ma/Ri Ta/Li Mi/Fra Ti/Fla Na/Fo Tha/Do Fa/So Da

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someone's solfege from 11edo page, a subset of 22edo

== 12edo ==

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conventional solfege (-i = sharp, -e = flat, -a = flat Re)

|Do

|}

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'''circle of fifths (asymmetrical and major-centric)'''

! colspan="2" |perfect

|}

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uniform solfege #1 (-a = plain = perfect/major, -u = aug, -o = dim/minor) (7 consonants)

|Tu

|}

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'''circle of fifths (asymmetrical and major-centric)'''

|Da

|}

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uniform solfege #2 (-a = plain = perfect/major, -u = aug)

|

|}

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'''circle of fifths (asymmetrical and major-centric)'''

== 13b-edo ==

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uniform solfege  (-a = plain, -u = up, -o = down) (no Pa or Sha)

|Da

|}

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'''circle of fifths'''

== 14edo ==

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uniform solfege (-a = plain, -u = up, -o = down), see also 21edo

|Da

|}

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'''circles of fifths'''

== 15edo ==

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uniform solfege (-u = up, -o = down, -a = plain)

|

|}

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'''circles of fifths'''

|Ro

|}

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Kite's diatonic solfege (-i = minor, -u = upminor, -o = downmajor, -a = major), see 20edo, 22edo

|}

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

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someone's BC solfege from the 15edo page

== 16edo ==

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uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)

|

|}

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'''circle of fifths'''

! colspan="2" |perfect

|}

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Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo

== 17edo ==

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uniform solfege (-a = plain, -u = up, -o = down)

|

|}

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circle of fifths

! colspan="2" |perfect

|}

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Andrew's BC solfege (-u = mid)

== 18b-edo ==

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uniform solfege (-a = plain, -u = up, -o = down)

|

|}

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circles of fifths

== 19edo ==

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traditional solfege

|Do

|}

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uniform solfege (-a = plain, -u = up, -o = down)

|

|}

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circle of fifths

! colspan="2" |perfect

|}

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Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)

== 20edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid)

|

|}

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'''circles of fifths'''

|Ro

|}

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Kite's diatonic solfege (-i = minor, -u = upminor, -e = mid, -o = downmajor, -a = major), see 15edo, 22edo

== 21edo ==

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uniform solfege (-a = plain, -u = up, -o = down), see also 14edo

|Da

|}

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'''circles of fifths'''

== 22edo ==

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uniform solfege  (-u = up, -o = down, -a = plain)

|Tu

|}

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'''circle of fifths'''

! colspan="2" |perfect

|}

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Kite's diatonic solfege  (-i = minor, -u = upminor, -o = downmajor, -a = major), see 15edo

|Da

|}

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circle of 5ths (1 non-rhyming 5th, Ti-Fa)

|Da

|}

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Andrew's BC solfege

== 23edo ==

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uniform solfege  (-a = major/minor/perfect, -u = up/dim, -o = down/aug)

|

|}

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'''circle of fifths'''

== 24edo ==

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uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo

|}

Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it.

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'''circles of fifths'''

|Fro

|}

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uniform solfege #2 (-a = plain, -i = mid/down)

''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''

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Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo

== 25edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid)

| colspan="2" |vB/vC C (^C)

|}

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Uniform solfege (-a = plain, -u = up, -o = down, -i = mid)  (duplicate names are '''bolded)'''

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

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'''circles of fifths'''

== 26edo ==

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uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)

|}

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'''

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Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)

== 27edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid)

== 28edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)

|^^B/vvC vC C (^C ^^C)

|}

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'''circles of fifths'''

== 29edo ==

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uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo

|}

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'''

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Phylingual's solfege

== 31edo ==

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uniform solfege (-a = plain, -u = up, -o = down)

|}

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'''

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Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo

'''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'''

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Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)

|}

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'''

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Andrew's solfege

== 32edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid)

== 33edo ==

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uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)

== 34edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded

| colspan="2" |'''vC''' C (^C)

|}

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circles of fifths

== 35edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

|vvC vC C (^C ^^C)

|}

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'''circles of fifths'''

== 36edo ==

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uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo

| colspan="2" |vC C (^C)

|}

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'''circles of fifths'''

== 38edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), contains 19edo's solfege, but with u --> i and o --> e

| colspan="2" |^^B/vvC vC C (^C ^^C)

|}

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circles of fifths

== 39edo ==

Could use only 4 vowels by replacing -e with -i.

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) in-between notes are bolded

== 40edo ==

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uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim)

== 41edo ==

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Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo

* plain: Sha Fra Fla Na Tha Fa '''Da'''

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Andrew's solfege

== 43edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded

== 45edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim)

== 46edo ==

Could use only 4 vowels by replacing -e with -i.

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid)

== 48edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

| colspan="3" |^^B/vvC vC C (^C ^^C)

|}

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), inbetween names are bolded

|}

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

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'''circles of fifths'''

== 50edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

== 53edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

* plain: Sha Fra Fla Na Tha Fa '''Da'''

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Phylingual's solfege

== 55edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

== 60edo ==

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uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)

| colspan="2" |vvC vC C (^C ^^C)

|}

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'''circles of fifths'''

=== List of MOS scales ===

Some combos of pergens and MOS scales require a very sharp or flat 5th. Just as with superflat edos, a uniform solfege can still be used, but the sound of the interval won't match what its name implies. Better to use a different pergen.

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MOS scales and good pergens for them (bolded = requires more than 5 vowels)

* 12 = 7L5s or 5L7s (extended solfege only)

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'''uniform solfege (-a = plain)'''

|F#

|}

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'''extended uniform solfege (-a = plain, -u = up = aug, -o = down = dim)'''

|E#

|}

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2L3s MOS scales (L = m3, s = M2)

|Da

|}

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5L2s MOS scales (L = M2, s = m2)

|Da

|}

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5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege

* scales of 6 or fewer notes are subsets of these

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'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''

|^C

|}

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2L6s MOS scales using solfege #1 (L = m3/vvA3, s = vA1/^m2)

|}

The same solfege can be used for 6L2s, but Sa will be > 5\8 = 750¢.

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2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)

|}

The same solfege can be used for 8L2s, but Sa will be > 3\5 = 720¢.

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10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)

|}

↵____________________________________________________________________________________

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'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''

|vC

|}

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2L6s MOS scales using solfege #2 (L = m3/vvA3, s = vA1/^m2)

|Da

|}

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2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)

|Da

|}

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2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)

|Da

|}

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12L2s MOS scales using solfege #2 (L = ^A1/vm2, s = ^1) P5 must be < 700¢, or s will be < 0¢

* 14 = 9L5s or 5L9s (Sa < 4\7 = 686¢)

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'''uniform solfege (-a = plain, -u = up, -o = down)'''

|vE

|}

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4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)

|Da

|}

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5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)

* 13 = 10L3s (Sa > 3\5 = 720¢) or 3L10s (Sa > 8\13)

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'''uniform solfege (-a = plain, -u = up, -o = down, -i = mid)'''

|^A

|}

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3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)

* 21= 12L9s (extended solfege only)

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'''uniform solfege (-a = plain, -u = up, -o = down)'''

|^Bb

|}

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'''extended uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''

|^D

|}

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3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)

|Da

|}

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3L6s MOS scales (L = M2 = rhymes, s = ^m2/vvA1)

|}

6L3s means Sa < 5\9 = 667¢

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3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1) Sa must be > 700¢

* scales of 6 or fewer notes are subsets of these

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'''uniform solfege (-a = plain, -u = up, -o = down)'''

|^D

|}

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1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)

|Da

|}

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7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)

* 16 = 5L11s

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'''uniform solfege (-a = plain, -u = up, -o = down)'''

|B

|}

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1L4s MOS scales (L = ^^M2/vm3, s = ^M2/vvm3)

|Da

|}

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5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)

The up is quite large. ^1 = 67¢ + 0.67 * c, where Sa = 700¢ + c

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'''uniform solfege (-a = plain, -u = up, -o = down)'''