User:TallKite/Solfeges

This page is a work in progress!

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

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

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

discuss performerr vs composer solfeges? example: 12-edo numeric solfege

maybe break up into several pages?

• uniform solfeges page has explanations and examples
• microtonal solfeges page discusses BC, uniform and numeric solfeges
• list of solfeges page has all edos and pergens, with all 3 types of solfeges

Classification

Numeric solfeges are for small edos that aren't heptatonic-friendly, like 5, 6, and 8-11. All other edos use the conventional consonants D R M F S L T.

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

Uniform solfeges are for larger edos like 41 and 53. They use a uniform vowel sequence for all degrees. They add 6 altered consonants: Fr- N- P- Sh- Fl- and Th-. Uniform diatonic solfeges don't add them.

Uniform solfeges

Uniform solfeges are a type of solfege developed by Kite Giedraitis. They are closely related to his ups and downs notation. A uniform solfege lets one perform basic interval arithmetic directly within the solfege, without having to translate to note names or interval names and back. They use a uniform vowel sequence for each degree, hence the name. They use the conventional consonants D R M F S L T. But all consonants except D have an alternate form that indicates flattening or sharpening:

• Fr- = flat Re = minor 2nd (mnemonic: F stands for flat)
• N- = flat Mi = minor 3rd
• P- = sharp Fa = aug 4th (mnemonic: Sh- sharpens to S-, and Th- sharpens to T-, so if Fa were spelled Pha, it would sharpen to Pa)
• Sh- = flat So = dim 5th
• Fl- = flat La = minor 6th (mnemonic: F stands for flat)
• Th- = flat Ti = minor 7th

Sharpening and flattening refers to adding/subtracting the lawa unison Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out. Some other edos (12, ??) also omit them.

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

the three vowel sequences

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

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

Examples

• 12edo: Da Fra Ra Na Ma Fa Pa/Sha Sa Fla La Tha Ta Da
• 21edo: Da Du Ro Ra Ru Mo Ma Mu Fo Fa Fu So Sa Su Lo La Lu To Ta Tu Do Da

Edos 5, 7 and 12 have only -a. 10edo has -a and -o but no -u.

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

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

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

In edos with an even penta-sharpness, there are "in-between" notes with two names. For example, 4\19 (Ru/No) is named as both a 2nd and a 3rd, a "serd".

• 1sn/2nd = unisecond (secison)
• 2nd/3rd = serd (thecond)
• 3rd/4th = ford (thorth)
• 4th/5th = tritone
• 5th/6th = sifth (sexth)
• 6th/7th = sexth? siventh?
• 7th/8ve = setave? octenth?

Example Scales

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

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

Octave Complement

To find the octave complement of any interval:

• change the degree as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
• change the quality as usual: major <--> minor and aug <--> dim, but perfect and mid are unchanged
• find the consonant via the quality and degree
• change the vowel as expected: -u <--> -o, but -a is unchanged. If -e is used, -i <--> -e, otherwise -i is unchanged.

For example, Fru = minor-Re-up becomes major-Ti-down = To.

The Circle of Fifths

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

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

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

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

Da Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo Do So Ro Lo Mo To Po/Fu Du Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa Da

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

Adding/subtracting 4ths and 5ths

The note a 4th or 5th above any note always rhymes, and the consonant is as would be expected from conventional interval arithmetic. Ra plus a 4th is Sa, Fro plus a 5th is Flo, etc. Thus in the example scales above, the 3rd, 6th and 7th always rhyme, as do the tonic, 2nd, 4th and 5th.

However, consider the aug 4th, a P- note. The note a 5th above it would be an augmented 8ve, which doesn't exist in a uniform solfege. Therefore one must rename the tritone as a dim or mid 5th. Thus in 31edo Pa + 5th = Sho + 5th = Fro. Likewise, Sho and Sha need renaming when adding a 4th: Sha + 4th = Pu + 4th = Tu.

Adding/subtracting other intervals

The same rule for 4ths and 5ths mostly holds for plain major 2nds. Keep the vowel, and change the consonant as expected. Ra + M2 = Ma. But an aug 4th must be renamed as a 5th. Beware, this rule breaks down entirely for major and mid 7ths (the T- notes), due to the lack of aug and mid 8ves.

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

One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. 3-vowel solfeges lack double-ups and double-downs. 4-vowel solfeges lack double-upmajor and double-downminor. 5-vowel solfeges lack triple-ups and triple-downs.

Suggestion for learning

Even with many familiar consonants and a consistent vowel sequence, it can take a while to master a large solfege. One might want to divide-and-conquer. Start with using this simple solfege:

Da - Ra - Ma - Fa - Sa - La - Ta - Da

This helps with unlearning the syllables Do, Mi, So and Ti, which are still present but have a changed meaning. (For those familiar with the full 17-name solfege, note that Ra, Ri, Fi, Si and Li are also present but changed.)

Next add in the 6 altered consonants, making a 12-edo-like solfege:

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

Once this is fully internalized, add in the other vowels, and learn how to respell the various tritones.

Multi-ring edos mostly have one vowel (or two equivalent vowels) per ring, e.g. 10, 14, 15, 24 and 36.

About the edo list

Thsi list only includes edos that have uniform solfeges, which are edos with both sharpness and penta-sharpness of 5 or less. Smaller edos are included with numeric solfeges. Excluded edos: 30, 37, 42, 44, 47, 49, 51-52, 54, 56-59, and everything 61 and over.

	7 consonants	7 consonants + P-	13 consonants	BC	numeric
-a	7		5 12	5 7 12	5 6 8 9 10 11
-o -a -u	12 14 21		10 15 16 17 19 22 24 26 29 31 36
-i -o -a -u			20 25 27 41
-e -o -a -u -i	28 35		40 48 53 60

5edo

solfeges

5edo	0	1	2	3	4	5
notes	C	D / Eb	E / F	G / Ab	A / Bb	C
intervals	P1	M2 / m3	M3 / P4	P5 / m6	M6 / m7	P8
numeric solfege	Wa	Tu	Ti	Fo	Fa	Wa
uniform solfege	Da	Ra / Na	Fa	Sa	La / Tha	Da
BC solfege	Do	Re / Me	Fa	So	La / Te	Do

uniform circle of fifths

	0	3	1	4	2	5
-a	Da	Sa	Ra	La
-a			Na	Tha	Fa	Da

6edo

BC & numeric solfeges

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

7edo

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

circle of fifths

	0	4	1	5	2	6	3	7
uniform	Da	Sa	Ra	La	Ma	Ta	Fa	Da
BC	Do	So	Re	La	Mi	Ti	Fa	Do

8edo

numeric solfege, see also edos 9-11

8edo	0	1	2	3	4	5	6	7	8
solfege	Wa	Tu	Ti	Fo	Fa	Si	Se	E	Wa

9edo

numeric solfege, see also 8edo, 10edo & 11edo

9edo	0	1	2	3	4	5	6	7	8	9
solfege	Wa	Tu	Ti	Fo	Fa	Si	Se	E	Na	Wa

10edo

numeric solfege, see also 8edo, 9edo & 11edo

10edo	0	1	2	3	4	5	6	7	8	9	10
solfege	Wa	Tu	Ti	Fo	Fa	Si	Se	E	Na	Te	Wa

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

10edo	0	1	2	3	4	5	6	7	8	9	10
cents	0	120	240	360	480	600	720	840	960	1080	1200
notes	C	vD	D / Eb	vE	F	vF# / vG	G	vA	A / Bb	vB	C
intervals	P1	~2	M2 / m3	~3	P4	~4 / ~5	P5	~6	M6 / m7	~7	P8
solfege	Da	Ro	Ra / Na	Mo	Fa	Po / So	Sa	Lo	La / Tha	To	Da
extra names		Du / Fru		Nu	Ma	Fu / Shu	Fla	Flu		Thu / Do

circles of fifths

plain circle								down circle
	0	6	2	8	4	10			1	7	3	9	5	1
-a	Da	Sa	Ra	La				-o	Ro	Lo	Mo	To	Po
-a			Na	Tha	Fa	Da		-o					So	Ro

11edo

numeric solfege, see also edos 8-10

11edo	0	1	2	3	4	5	6	7	8	9	10	11
solfege	Wa	Tu	Ti	Fo	Fa	Si	Se	E	Na	Te	Le	Wa

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

11edo	0	1	2	3	4	5	6	7	8	9	10	11
solfege	Do	Ra	Re	Me	Mo	Fu	Su	Lo	La	Ta	Ti	Do

12edo

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

12edo	0	1	2	3	4	5	6	7	8	9	10	11	12
notes	C	C# / Db	D	D# / Eb	E	F	F# / Gb	G	G# / Ab	A	A# / Bb	B	C
intervals	P1	A1 / m2	M2	A2 / m3	M3	P4	A4 / d5	P5	A5 / m6	M6	A6 / m7	M7	P8
solfege	Do	Di / Ra	Re	Ri / Me	Mi	Fa	Fi / Se	So	Si / Le	La	Li / Te	Ti	Do

circle of fifths (asymmetrical and major-centric)

0	7	2	9	4	11	6	1	8	3	10	5	12
Do	So	Re	La	Mi	Ti	Fi	Di	Si	Ri	Li
						Se	Ra	Le	Me	Te	Fa	Da
perfect		major				aug / minor					perfect

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

12edo	0	1	2	3	4	5	6	7	8	9	10	11	12
notes	C	C# / Db	D	D# / Eb	E	F	F# / Gb	G	G# / Ab	A	A# / Bb	B	C
intervals	P1	A1 / m2	M2	A2 / m3	M3	P4	A4 / d5	P5	A5 / m6	M6	A6 / m7	M7	P8
solfege	Da	Du / Ro	Ra	Ru / Mo	Ma	Fa	Fu / So	Sa	Su / Lo	La	Lu / To	Ta	Da
extras					Fo	Mu						Do	Tu

circle of fifths (asymmetrical and major-centric)

	0	7	2	9	4	11	6	1	8	3	10	5	12
-a	Da	Sa	Ra	La	Ma	Ta
-o							So	Ro	Lo	Mo	To
-u							Fu	Du	Su	Ru	Lu
-a												Fa	Da

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

12edo	0	1	2	3	4	5	6	7	8	9	10	11	12
notes	C	C# / Db	D	D# / Eb	E	F	F# / Gb	G	G# / Ab	A	A# / Bb	B	C
intervals	P1	A1 / m2	M2	A2 / m3	M3	P4	A4 / d5	P5	A5 / m6	M6	A6 / m7	M7	P8
solfege	Da	Du / Fra	Ra	Ru / Na	Ma	Fa	Pa / Sha	Sa	Su / Fla	La	Lu / Tha	Ta	Da
extras					Fo	Mu						Do

circle of fifths (asymmetrical and major-centric)

	0	7	2	9	4	11	6	1	8	3	10	5	12
-a	Da	Sa	Ra	La	Ma	Ta	Pa
-u								Du	Su	Ru	Lu
-a							Sha	Fra	Fla	Na	Tha	Fa	Da

13b-edo

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

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

circle of fifths

	0	7	1	8	2	9	3	10	4	11	5	12	6	13
-a	Da	Sa	Ra	La	Ma	Ta
-u			Du	Su	Ru	Lu	Mu	Tu
-o							Fro	Flo	No	Tho	Fo	Do
-a									Fra	Fla	Na	Tha	Fa	Da

14edo

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

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

circles of fifths

plain circle										up/down circle
	0	8	2	10	4	12	6	14			7	1	9	3	11	5	13	7
-a	Da	Sa	Ra	La	Ma	Ta	Fa	Da		-u	Fu	Du	Su	Ru	Lu	Mu	Tu	Fu
										-o	So	Ro	Lo	Mo	To	Fo	Do	So

15edo

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

15edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
cents	0	80	160	240	320	400	480	560	640	720	800	880	960	1040	1120	1200
notes	C	^Db	vD	D / Eb	^Eb	vE	E / F	^F / ^Gb	vF# / vG	G / Ab	^Ab	vA	A / Bb	^Bb	vB	C
intervals	P1	^m2	vM2	M2 / m3	^m3	vM3	M3 / P4	^4 / ^d5	vA4 / v5	P5 / m6	^m6	vM6	M6 / m7	^m7	vM7	P8
solfege	Da	Fru	Ro	Ra / Na	Nu	Mo	Fa	Fu / Shu	Po / So	Sa	Flu	Lo	La / Tha	Thu	To	Da
extras		Du													Do

circles of fifths

plain circle							up circle							down circle
0	9	3	12	6	15		1	10	4	13	7	1		2	11	5	14	8	2
Da	Sa	Ra	La				Fru	Flu	Nu	Thu	Fu			Ro	Lo	Mo	To	Po
		Na	Tha	Fa	Da						Shu	Fru						So	Ro

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

15edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15
cents	0	80	160	240	320	400	480	560	640	720	800	880	960	1040	1120	1200
notes	C	^Db	vD	D/Eb	^Eb	vE	E/F	^F	vG	G/Ab	^Ab	vA	A/Bb	^Bb	vB	C
intervals	P1	^m2	vM2	M2/m3	^m3	vM3	M3/P4	^4	v5	P5/m6	^m6	vM6	M6/m7	^m7	vM7	P8
solfege	Da	Ru	Ro	Ra/Mi	Mu	Mo	Ma/Fa	Fu	So	Sa/Li	Lu	Lo	La/Ti	Tu	To	Da

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

someone's BC solfege from the 15edo page

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

16edo

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

16edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
cents	0	75	150	225	300	375	450	525	600	675	750	825	900	975	1050	1125	1200
notes	C	Cb/D#	D	Db	E	Eb	Ebb/F#	F	Fb/G#	G	Gb/A#	A	Ab	B	Bb	Bbb/C#	C
intervals	P1	d1/A2	M2	m2	M3	m3	d3/A4	P4	d4/A5	P5	d5/A6	M6	m6	M7	m7	d7/A8	P8
solfege	Da	Du/Ro	Ra	Fra	Ma	Na	Nu/Pa	Fa	Fu/So	Sa	Sha/Lo	La	Fla	Ta	Tha	Thu/Do	Da
extras			Fro	Ru	No	Mu	Fo				Su	Flo	Lu	Tho	Tu

circle of fifths

	0	9	2	11	4	13	6	15	8	1	10	3	12	5	14	7	16
-a	Da	Sa	Ra	La	Ma	Ta	Pa
-u							Nu	Thu	Fu	Du
-o								Do	So	Ro	Lo
-a											Sha	Fra	Fla	Na	Tha	Fa	Da

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

16edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16
notes	C	Cb/D#	D	Db/E#	E	Eb	F#	F	Fb/G#	G	Gb/A#	A	Ab/B#	B	Bb	C#	C
intervals	P1	d1/A2	M2	m2/A3	M3	m3	A4	P4	d4/A5	P5	d5/A6	M6	m6/A7	M7	m7	A8	P8
solfege	Do	De/Ri	Re	Ra/Ma	Mi	Me	Fi	Fa	Fe/Si	So	Se/Li	La	Le/Ta	Ti	Te	Di	Do

17edo

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

17edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
notes	C	^C / Db	vD	D	^D / Eb	vE	E	F	^F / Gb	F# / vG	G	Ab	vA	A	^A / Bb	vB	B / vC	C
intervals	P1	^1 / m2	~2	M2	^M2 / m3	~3	M3	P4	~4 / d5	A4 / ~5	P5	m6	~6	M6	^M6 / m7	~7	M7 / v8	P8
solfege	Da	Du / Fra	Ro	Ra	Na	Mo	Ma	Fa	Fu / Sha	Pa / So	Sa	Fla	Lo	La	Tha	To	Ta / Do	Da
extras			Fru	No	Ru	Nu	Fo		Po	Shu		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	(Po)
-u							(Shu)	(Fru)	(Flu)	(Nu)	(Thu)	Fu	Du
-a												Sha	Fra	Fla	Na	Tha	Fa	Da
	perfect		major				mid						minor				perfect

Andrew's BC solfege (-u = mid)

17edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17
notes	C	^C / Db	C# / vD	D	^D / Eb	D# / vE	E	F	^F / Gb	F# / vG	G	^G / Ab	G# / vA	A	^A / Bb	A# / vB	B	C
intervals	P1	^1 / m2	A1 / ~2	M2	^M2 / m3	A2 / ~3	M3	P4	~4 / d5	A4 / ~5	P5	^5 / m6	A5 / ~6	M6	^M6 / m7	A6 / ~7	M7	P8
solfege	Do	Da / Ra	Di / Ru	Re	Ro / Me	Ri / Mu	Mi	Fa	Fu / Se	Fi / Su	So	Sa / Le	Si / Lu	La	Lo / Te	Li / Tu	Ti	Do

18b-edo

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

18edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18
notes	C	^C vD	D	^D vDb	Db E	^E vEb	Eb	^Eb / ^F# vF	F	^F vG	G	^G ^Gb / vA	A	^A vAb	Ab B	^B vBb	Bb	^Bb vC	C
intervals	P1	^1 vM2	M2	~2	m2 M3	~3	m3	^m3 / ^A4 v4	P4	^4 v5	P5	^5 vd5 / vM6	M6	~6	m6 M7	~7	m7	^m7 v8	P8
solfege	Da	Du Ro	Ra	Ru Fro	Fra Ma	Mu No	Na	Nu / Pu Fo	Fa	Fu So	Sa	Su Sho / Lo	La	Lu Flo	Fla Ta	Tu Tho	Tha	Thu Do	Da
extras							Pa						Sha

circles of fifths

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

19edo

traditional solfege

19edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
notes	C	C#/Dbb	Db	D	D#/Ebb	Eb	E	E#/Fb	F	F#	Gb	G	G#/Abb	Ab	A	A#/Bbb	Bb	B	B#/Cb	C
intervals	P1	A1/d2	m2	M2	A2/d3	m3	M3	A3/d4	P4	A4	d5	P5	A5/d6	m6	M6	A6/d7	m7	M7	A7/d8	P8
solfege	Do	Di/Ro	Ra	Re	Ri/Ma	Me	Mi	Mo/Fe	Fa	Fi	Se	So	Si/Lo	Le	La	Li/Ta	Te	Ti	To/Da	Do

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

19edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
notes	C	C#/Dbb	Db	D	D#/Ebb	Eb	E	E#/Fb	F	F#/Gbb	Fx/Gb	G	G#/Abb	Ab	A	A#/Bbb	Bb	B	B#/Cb	C
intervals	P1	A1/d2	m2	M2	A2/d3	m3	M3	A3/d4	P4	A4/dd5	AA4/d5	P5	A5/d6	m6	M6	A6/d7	m7	M7	A7/d8	P8
solfege	Da	Du/Fro	Fra	Ra	Ru/No	Na	Ma	Mu/Fo	Fa	Pa/Sho	Pu/Sha	Sa	Su/Flo	Fla	La	Lu/Tho	Tha	Ta	Tu/Do	Da
extras									Po	Fu	So	Shu

circle of fifths

	0	11	3	14	6	17	9	1	12	4	15	7	18	10	2	13	5	16	8	19
-a	Da	Sa	Ra	La	Ma	Ta	Pa
-o							Sho	Fro	Flo	No	Tho	Fo	Do
-u								Du	Su	Ru	Lu	Mu	Tu	Pu
-a														Sha	Fra	Fla	Na	Tha	Fa	Da
	perfect		major				in-between								minor				perfect

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

19edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19
notes	C	C#/Dbb	Db	D	D#/Ebb	Eb	E	E#/Fb	F	F#	Gb	G	G#/Abb	Ab	A	A#/Bbb	Bb	B	B#/Cb	C
intervals	P1	A1/d2	m2	M2	A2/d3	m3	M3	A3/d4	P4	A4	d5	P5	A5/d6	m6	M6	A6/d7	m7	M7	A7/d8	P8
solfege	Da	Du	Ro	Ra	Ru	Mo	Ma	Mu	Fa/Po	Fu/Pa	So	Sa	Su	Lo	La	Lu	To	Ta	Tu/Do	Da
extras								Fo		Sho	Pu	Shu

Da Sa Ra La Ma Ta Pa/Fu Du Su Ru Lu Mu Tu/Do So Ro Lo Mo To Po/Fa Da

20edo

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

20edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
cents	0	60	120	180	240	300	360	420	480	540	600	660	720	780	840	900	960	1020	1080	1140	1200
notes	C	^Db	vvD	vD	D/Eb	^Eb	vvE	vE	F	^F/^Gb	^^F/vvG	vF#/vG	G	^Ab	vvA	vA	A/Bb	^Bb	vvB	vB	C
intervals	P1	^m2	~2	vM2	M2/m3	^m3	~3	vM3	P4	^4/^d5	~4/~5	vA4/v5	P5	^m6	~6	vM6	M6/m7	^m7	~7	vM7	P8
solfege	Da	Fru	Ri	Ro	Ra/Na	Nu	Mi	Mo	Fa	Fu/Shu	Fi/Si	Po/So	Sa	Flu	Li	Lo	La/Tha	Thu	Ti	To	Da
extras		Du							Ma				Fla							Do

circles of fifths

plain circle							up circle							mid circle							down circle
0	12	4	16	8	20		1	13	5	17	9	1		2	14	6	18	10	2		2	11	5	14	8	2
Da	Sa	Ra	La				Fru	Flu	Nu	Thu	Fu			Ri	Li	Mi	Ti	Pi			Ro	Lo	Mo	To	Po
		Na	Tha	Fa	Da						Shu	Fru						Si	Ri						So	Ro

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

20edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20
notes	C/Db	^Db	vvD	vD	D/Eb	^Eb	vvE	vE	E/F	^F	^^F/vvG	vG	G/Ab	^Ab	vvA	vA	A/Bb	^Bb	vvB	vB	B/C
intervals	P1/m2	^m2	~2	vM2	M2/m3	^m3	~3	vM3	M3/P4	^4	~4/~5	v5	P5/m6	^m6	~6	vM6	M6/m7	^m7	~7	vM7	M7/P8
solfege	Da/Ri	Ru	Re	Ro	Ra/Mi	Mu	Me	Mo	Ma/Fa	Fu	Fe/Se	So	Sa/Li	Lu	Le	Lo	La/Ti	Tu	Te	To	Ta/Da

21edo

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

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

circles of fifths

plain circle									up circle									down circle
0	12	3	15	6	18	9	21		1	13	4	16	7	19	10	1		2	14	5	17	8	20	11	2
Da	Sa	Ra	La	Ma	Ta	Fa	Da		Du	Su	Ru	Lu	Mu	Tu	Fu	Du		Do	So	Ro	Lo	Mo	To	Fo	Do

22edo

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

22edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22
notes	C	Db	^Db	vD	D	Eb	^Eb	vE	E	F	^F/Gb	vF#/^Gb	F#/vG	G	Ab	^Ab	vA	A	Bb	^Bb	vB	B	C
intervals	P1	m2	^m2	vM2	M2	m3	^m3	vM3	M3	P4	^4/d5	vA4/^d5	A4/v5	P5	m6	^m6	vM6	M6	m7	^m7	vM7	M7	P8
solfege	Da	Du Fra	Fru	Ro	Ra	Na	Nu	Mo	Ma	Fa	Fu Sha	Po Shu	Pa So	Sa	Fla	Flu	Lo	La	Tha	Thu	To	Ta Do	Da
extras	Fro				No	Ru			Fo	Mu Sho				Pu Flo	Su			Tho	Lu				Tu

circle of fifths

	0	13	4	17	8	21	12	3	16	7	20	11	2	15	6	19	10	1	14	5	18	9	22
-a	Da	Sa	Ra	La	Ma	Ta	Pa
-o						Do	So	Ro	Lo	Mo	To	Po
-u												Shu	Fru	Flu	Nu	Thu	Fu	Du
-a																	Sha	Fra	Fla	Na	Tha	Fa	Da
	perfect		major					downmajor					upminor					minor				perfect

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

22edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22
notes	C	^C/Db	^Db	vD	D	Eb	^Eb	vE	E	F	^F	vF#/^Gb	vG	G	Ab	^Ab	vA	A	Bb	^Bb	vB	B/vC	C
intervals	P1	^1/m2	^m2	vM2	M2	m3	^m3	vM3	M3	P4	^4	vA4/^d5	v5	P5	m6	^m6	vM6	M6	m7	^m7	vM7	M7/v8	P8
solfege	Da	Du/Ri	Ru	Ro	Ra	Mi	Mu	Mo	Ma	Fa	Fu	Po/Shu	So	Sa	Li	Lu	Lo	La	Ti	Tu	To	Ta/Do	Da

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

	0	13	4	17	8	21	12	3	16	7	20	11	2	15	6	19	10	1	14	5	18	9	22
-a	Da	Sa	Ra	La	Ma	Ta
-o						Do	So	Ro	Lo	Mo	To	Po
-u												Shu	Ru	Lu	Mu	Tu	Fu	Du
-i																		Ri	Li	Mi	Ti
-a																						Fa	Da

Andrew's BC solfege

22edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22
notes	C	Db	^Db	vD	D	Eb	^Eb	vE	E	F	^F/Gb	vF#/^Gb	F#/vG	G	Ab	^Ab	vA	A	Bb	^Bb	vB	B	C
intervals	P1	m2	^m2	vM2	M2	m3	^m3	vM3	M3	P4	^4/d5	vA4/^d5	A4/v5	P5	m6	^m6	vM6	M6	m7	^m7	vM7	M7	P8
solfege	Do	Di	Ra	Ru	Re	Ma	Me	Mi	Mo	Fa	Fu	Fi	Su	Sol	Lo	Le	La	Li	Ta	Tu	Ti	Da	Do

23edo

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

23edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23
notes	C	Cb	D#	D	Db	Dbb E#	E	Eb	Ebb	F#	F	Fb	G#	G	Gb	A#	A	Ab	Abb B#	B	Bb	Bbb	C#	C
intervals	P1	d1	A2	M2	m2	d2 A3	M3	m3	d3	A4	P4	d4	A5	P5	d5	A6	M6	m6	d6 A7	M7	m7	d7	A8	P8
solfege	Da	Du	Ro	Ra	Fra	Fru Mo	Ma	Na	Nu	Fo Pa	Fa	Fu	So	Sa	Su Sha	Lo	La	Fla	Flu To	Ta	Tha	Thu	Do	Da
extras				Fro	Ru		No	Mu			Pu			Sho			Flo	Lu		Tho	Tu

circle of fifths

	0	13	3	16	6	19	9	22	12	2	15	5	18	8	21	11	1	14	4	17	7	20	10	23
-a	Da	Sa	Ra	La	Ma	Ta	Pa
-o							Fo	Do	So	Ro	Lo	Mo	To
-u												Fru	Flu	Nu	Thu	Fu	Du	Su
-a																		Sha	Fra	Fla	Na	Tha	Fa	Da

24edo

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

24edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
notes	C	^C vDb	Db	^Db vD	D	^D vEb	Eb	^Eb vE	E	^E vF	F	^F vF# vGb	F# Gb	^F# ^Gb vG	G	^G vAb	Ab	^Ab vA	A	^A vBb	Bb	^Bb vB	B	^B vC	C
intervals	P1	^1 vm2	m2	~2	M2	^M2 vm3	m3	~3	M3	^M3 v4	P4	~4 vd5	A4 d5	~5 v5	P5	^5 vm6	m6	~6	M6	^M6 vm7	m7	~7	M7	^M7 v8	P8
solfege	Da	Du Fro	Fra	Fru Ro	Ra	Ru No	Na	Nu Mo	Ma	Mu Fo	Fa	Fu Po Sho	Pa Sha	Pu Shu So	Sa	Su Flo	Fla	Flu Lo	La	Lu Tho	Tha	Thu To	Ta	Tu Do	Da

circles of fifths

plain		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	-u	Du	Su	Ru	Lu	Mu	Tu	Pu
	-u							Shu	Fru	Flu	Nu	Thu	Fu	Du
down	-o	Fro	Flo	No	Tho	Fo	Do	So	Ro	Lo	Mo	To	Po
	-o												Sho	Fro

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

24edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
notes	C	vDb	Db	vD	D	vEb	Eb	vE	E	vF	F	vF#/vGb	F#/Gb	vG	G	vAb	Ab	vA	A	vBb	Bb	vB	B	vC	C
intervals	P1	vm2	m2	~2	M2	vm3	m3	~3	M3	v4	P4	vA4/vd5	A4/d5	v5	P5	vm6	m6	~6	M6	vm7	m7	~7	M7	v8	P8
solfege	Da	Fri	Fra	Ri	Ra	Ni	Na	Mi	Ma	Fi	Fa	Pi/Shi	Pa/Sha	Si	Sa	Fli	Fla	Li	La	Thi	Tha	Ti	Ta	Di	Da

plain/mid rings:

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

Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di

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

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

24edo	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
notes	C	^C vDb	Db	vD	D	^D vEb	Eb	vE	E	^E vF	F	^F vGb	F# Gb	^F# vG	G	^G vAb	Ab	vA	A	^A vBb	Bb	vB	B	^B vC	C
intervals	P1	^1 vm2	m2	~2	M2	^M2 vm3	m3	~3	M3	^M3 v4	P4	^4 vd5	A4 d5	^A4 v5	P5	^5 vm6	m6	~6	M6	^M6 vm7	m7	~7	M7	^M7 v8	P8
solfege	Do	Da Ru	Ro	Ra	Re	Ri Mu	Mo	Ma	Me	Mi Fu	Fo	Fa Su	Fe So	Fi Sa	Se	Si Lu	Lo	La	Le	Li Tu	To	Ta	Te	Ti Du	Do

25edo

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

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

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

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

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

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

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

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

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

26edo

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

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

circle of 5ths: Da Sa Ra La Ma Ta Pa/Fu Du Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo Do So Ri Li Mi Ti Fa Da

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

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

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

27edo

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

27edo	edosteps	solfege names		ups and downs names
unisons	0-1	Da Du/Fra		P1 ^1/m2		C ^C/Db
2nds	1-5	Du/Fra Fru	Ri Ro Ra	^1/m2 ^m2	~2 vM2 M2	^C/Db ^Db	vvD vD D
3rds	6-10	Na Nu	Mi Mo Ma	m3 ^m3	~3 vM3 M3	Eb ^Eb	vvE vE E
4ths	11-12	Fa		P4 ^4		F ^F
tritones	13-14	Fu/Sha Fi/Shu Po/Si Pa/So		~4/^d5 vA4/~5		vvF#/^Gb vF#/^^Gb
5ths	15-16	Sa		v5 P5		vG G
6ths	17-21	Fla Flu	Li Lo La	m6 ^m6	~6 vM6 M6	Ab ^Ab	vvA vA A
7ths	22-26	Tha Thu	Ti To Ta/Do	m7 ^m7	~7 vM7 M7/v8	Bb ^Bb	vvB vB B/vC
8ves	26-27 (28)	Ta/Do Da (Du)		M7/v8 P8 (^8)		B/vC C (^C)

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

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

28edo

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

28edo	edosteps	solfege names	ups and downs names
unisons	0-2	Da Du Di/Re	P1 ^1 ^^1/vv2	C ^C ^^C/vvD
2nds	2-6	Di/Re Ro Ra Ru Ri/Me	^^1/vv2 v2 P2 ^2 ^^2/vv3	^^C/vvD vD D ^D ^^D/vvE
3rds	6-10	Ri/Me Mo Ma Mu Mi/Fe	^^2/vv3 v3 P3 ^3 ^^3/vv4	^^D/vvE vE E ^E ^^E/vvF
4ths	10-14	Mi/Fe Fo Fa Fu Fi/Se	^^3/vv4 v4 P4 ^4 ^^4/vv5	^^E/vvF vF F ^F ^^F/vvG
5ths	14-18	Fi/Se So Sa Su Si/Le	^^4/vv5 v5 P5 ^5 ^^5/vv6	^^F/vvG vG G ^G ^^G/vvA
6ths	18-22	Si/Le Lo La Lu Li/Te	^^5/vv6 v6 P6 ^6 ^^6/vv7	^^G/vvA vA A ^A ^^A/vvB
7ths	22-26	Li/Te To Ta Tu Ti/De	^^6/vv7 v7 P7 ^7 ^^7/vv8	^^A/vvB vB B ^B ^^B/vvC
8ves	26-28 (29 30)	Ti/De Do Da (Du Di)	^^7/vv8 v8 P8 (^8 ^^8)	^^B/vvC vC C (^C ^^C)

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

28edo	edosteps	solfege names	ups and downs names
unisons	0-2	Da Du Di/Re	P1 ^1 ^^1	C ^C ^^C
2nds	2-6	Re Ro Ra Ru Ri	^^1/vv2 v2 P2 ^2 ^^2/vv3	^^C/vvD vD D ^D ^^D/vvE
3rds	6-10	Ri/Me Mo Ma Mu Mi/Fe	^^2/vv3 v3 P3 ^3 ^^3/vv4	^^D/vvE vE E ^E ^^E/vvF
4ths	10-14	Mi/Fe Fo Fa Fu Fi/Se	^^3/vv4 v4 P4 ^4 ^^4/vv5	^^E/vvF vF F ^F ^^F/vvG
5ths	14-18	Fi/Se So Sa Su Si/Le	^^4/vv5 v5 P5 ^5 ^^5/vv6	^^F/vvG vG G ^G ^^G/vvA
6ths	18-22	Si/Le Lo La Lu Li/Te	^^5/vv6 v6 P6 ^6 ^^6/vv7	^^G/vvA vA A ^A ^^A/vvB
7ths	22-26	Li/Te To Ta Tu Ti/De	^^6/vv7 v7 P7 ^7 ^^7/vv8	^^A/vvB vB B ^B ^^B/vvC
8ves	26-28 (29 30)	Ti/De Do Da (Du Di)	^^7/vv8 v8 P8 (^8 ^^8)	^^B/vvC vC C (^C ^^C)

plain/up/down/inbetween circles:

Da Sa Ra La Ma Ta Fa Da

Du Su Ru Lu Mu Tu Fu Du

Do So Ro Lo Mo To Fo Do

Di/Re Si/Le Ri/Me Li/Te Mi/Fe Ti/De Fi/Se Di/Re

29edo

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

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

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

Phylingual's solfege

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

31edo

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

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

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

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

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

As a circle of 5ths:

Do Se Re Le Me Te Fe/Su Ru Lu Mu Tu Fu Du Sa Ra La Ma Ta Fa Da Si Ri Li Mi Ti Fi/So Ro Lo Mo To Fo Do

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

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

circle of 5ths: Da Sa Ra La Ma Ta Fa/So Ro Lo Mo To Fo De Se Re Le Me Te Fe Du Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti Fi Da

Andrew's solfege

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

34edo

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

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

plain/mid and up/down rings:

Da Sa Ra La Ma Ta Pa/Si Ri Li Mi Ti Fi/Sha Fra Fla Na Tha Fa Da

Po/Shu Fru Flu Nu Thu Fu/(Sho) Du/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/Do (Pu)/So Ro Lo Mo To Po/Shu (^min - ^maj/vmin - vmaj)

35edo

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

35edo	edosteps	solfege names	ups and downs names
unisons	0-2	Da Du Di	P1 ^1 ^^1	C ^C ^^C
2nds	3-7	Re Ro Ra Ru Ri	vv2 v2 P2 ^2 ^^2	vvD vD D ^D ^^D
3rds	8-12	Me Mo Ma Mu Mi	vv3 v3 P3 ^3 ^^3	vvE vE E ^E ^^E
4ths	13-17	Fe Fo Fa Fu Fi	vv4 v4 P4 ^4 ^^4	vvF vF F ^F ^^F
5ths	18-22	Se So Sa Su Si	vv5 v5 P5 ^5 ^^5	vvG vG G ^G ^^G
6ths	23-27	Le Lo La Lu Li	vv6 v6 P6 ^6 ^^6	vvA vA A ^A ^^A
7ths	28-32	Te To Ta Tu Ti	vv7 v7 P7 ^7 ^^7	vvB vB B ^B ^^B
8ves	33-35 (36 37)	De Do Da (Du Di)	vv8 v8 P8 (^8 ^^8)	vvC vC C (^C ^^C)

plain/up/dup/down/dud circles of 5ths:

Da Sa Ra La Ma Ta Fa Da

Du Su Ru Lu Mu Tu Fu Du

Di Si Ri Li Mi Ti Fi Di

Do So Ro Lo Mo To Fo Do

De Se Re Le Me Te Fe De

36edo

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

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

plain/up/down rings:

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

Du Su Ru Lu Mu Tu Pu/Shu Fru Flu Nu Thu Fu Du

Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do

41edo

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

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

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

Andrew's solfege

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

48edo

Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 24edo

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

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

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

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

plain/up/down/mid rings:

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

Du Su Ru Lu Mu Tu Pu/Shu Fru Flu Nu Thu Fu Du

Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do

Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di

De Se Re Le Me Te Pe/She Fre Fle Ne The Fe De

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

53edo

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

53edo	edosteps	solfege names		ups and downs names
unisons	0-2	Da Du Di/Fre		P1 ^1 ^^1/vvm2
2nds	2-11	Di/Fre Fro Fra Fru Fri	Re Ro Ra Ru Ri/Ne	^^1/vvm2 vm2 m2 ^m2 v~2	^~2 vM2 M2 ^M2 ^^M2/vvm3
3rds	11-20	Ri/Ne No Na Nu Ni	Me Mo Ma Mu Mi/Fe	^^M2/vvm3 vm3 m3 ^m3 v~3	^~3 vM3 M3 ^M3 ^^M3/vv4
4ths	20-23	Mi/Fe Fo Fa Fu		^^M3/vv4 v4 P4 ^4
tritones	24-29	Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se		v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5
5ths	30-33	So Sa Su Si/Fle		v5 P5 ^5 ^^5/vvm6
6ths	33-42	Si/Fle Flo Fla Flu Fli	Le Lo La Lu Li/The	^^5/vvm6 vm6 m6 ^m6 v~6	^~6 vM6 M6 ^M6 ^^M6/vvm7
7ths	42-51	Li/The Tho Tha Thu Thi	Te To Ta Tu Ti/De	^^M6/vvm7 vm7 m7 ^m7 v~7	^~7 vM7 M7 ^M7 ^^M7/vv8
8ves	51-53 (54 55)	Ti/De Do Da (Du Di)		^^M7/vv8 v8 P8 (^8 ^^8)

Phylingual's solfege

53edo	edosteps	solfege names	ups and downs names
unisons	0-2	Do Di Daw	P1 ^1 ^^1
2nds	3-11	Ro Rih Ra Ru Ruh Reh Re Ri Raw	vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2
3rds	12-20	Ma Meh Me Mu Muh Mi Maa Mo Maw	vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3
4ths	21-26	Fe Fa Fih Fu Fuh Fi	v4 P4 ^4 v~4 ^~4 vA4
5ths	27-33	Se Suh Su Sih So (or Sol) Si Saw	^d5 v~5 ^~5 v5 P5 ^5 ^^5
6ths	34-42	Lo Leh Le Lu Luh La Laa Li Law	vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6
7ths	43-51	Ta Teh Te Tu Tuh Ti Tih To Taw	vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7
8ves	52-(55)	Da Do (Di Daw)	v8 P8 (^8 ^^8)

60edo

Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 48edo

36edo	edosteps	solfege names		ups and downs names
unisons	0-2	Da Du Di		P1 ^1 ^^1		C ^C ^^C
2nds	3-12	Fre Fro Fra Fru Fri	Re Ro Ra Ru Ri	vvm2 vm2 m2 ^m2 v~2	^~2 vM2 M2 ^M2 ^^M2	vvDb vDb Db ^Db ^^Db	vvD vD D ^D ^^D
3rds	13-22	Ne No Na Nu Ni	Me Mo Ma Mu Mi	vvm3 vm3 m3 ^m3 v~3	^~3 vM3 M3 ^M3 ^^M3	vvEb vEb Eb ^Eb ^^Eb	vvE vE E ^E ^^E
4ths	23-27	Fe Fo Fa Fu Fi		vv4 v4 P4 ^4 ^^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 v~6	^~6 vM6 M6 ^M6 ^^M6	vvAb vAb Ab ^Ab ^^Ab	vvA vA A ^A ^^A
7ths	48-57	The Tho Tha Thu Thi	Te To Ta Tu Ti	vvm7 vm7 m7 ^m7 v~7	^~7 vM7 M7 ^M7 ^^M7	vvBb vBb Bb ^Bb ^^Bb	vvB vB B ^B ^^B
8ves	58-60	De Do Da (Du Di)		vv8 v8 P8 (^8 ^^8)		vvC vC C (^C ^^C)

plain/up/down/dup/dud rings:

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

Du Su Ru Lu Mu Tu Pu/Shu Fru Flu Nu Thu Fu Du

Do So Ro Lo Mo To Po/Sho Fro Flo No Tho Fo Do

Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di

De Se Re Le Me Te Pe/She Fre Fle Ne The Fe De