22edo solfege

Andrew Heathwaite's solfege

Andrew's solfege expands on the conventional Do - Di/Ra - Re - Ri/Me - Mi - Fa - Fi/Se - Sol - Si/Le - La - Li/Te - Ti - Do.

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

See also 17edo Solfege

Example scales

Plain major scale	Do	Re	Mo	Fa	Sol	Li	Da	Do
Downmajor scale	Do	Re	Mi	Fa	Sol	La	Ti	Do
Upminor scale	Do	Re	Me	Fa	Sol	Le	Tu	Do
Plain minor scale	Do	Re	Ma	Fa	Sol	Lo	Ta	Do
Triyo/Porcupine[7] 4th	Do	Ru	Me	Fa	Sol	La	Tu	Do

Uniform Solfege

See Uniform Solfege for a full explanation.

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

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

circle of fifths

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

Example scales

Plain major scale	Da	Ra	Ma	Fa	Sa	La	Ta	Da
Downmajor scale	Da	Ra	Mo	Fa	Sa	Lo	To	Da
Upminor scale	Da	Ra	Nu	Fa	Sa	Flu	Thu	Da
Plain minor scale	Da	Ra	Na	Fa	Sa	Fla	Tha	Da
Triyo/Porcupine[7] 4th	Da	Ro	Nu	Fa	Sa	Lo	Thu	Da

Kite Giedraitis's solfege

Kite's solfege uses the conventional consonants D R M F S L T but unconventional vowels. The vowel sequence is -i -u -o -a for minor-upminor-downmajor-major, pronounced "meener oop-meener doe-n-mah-jur mah-jur".

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	Ri	Ru	Ro	Ra	Mi	Mu	Mo	Ma	Fi	Fu/Si	Fo/Su	Fa/So	Sa	Li	Lu	Lo	La	Ti	Tu	To	Ta	Da

The four 2nds illustrate the solfege's logic:

• Ri = Re-minor = m2
• Ru = Re-upminor = ^m2
• Ro = Re-downmajor = vM2
• Ra = Re-major = M2

Example scales

Plain major scale	Da	Ra	Ma	Fi	Sa	La	Ta	Da
Downmajor scale	Da	Ra	Mo	Fi	Sa	Lo	To	Da
Upminor scale	Da	Ra	Mu	Fi	Sa	Lu	Tu	Da
Plain minor scale	Da	Ra	Mi	Fi	Sa	Li	Ti	Da
Triyo/Porcupine[7] 4th	Da	Ro	Mu	Fi	Sa	Lo	Tu	Da

To find the octave complement of any interval:

• change the degree as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
• change the vowel as expected: -i <--> -a and -o <--> -u

The 25 note names in circle-of-5ths order (read left-to-right, top-row-to-bottom-row)

1sns	5ths	2nds	6ths	3rds	7ths	4ths (5ths)	1sns
Da	Sa	Ra	La	Ma	Ta	Fa (So)
	So	Ro	Lo	Mo	To	Fo (Su)
	Su	Ru	Lu	Mu	Tu	Fu (Si)
	Si	Ri	Li	Mi	Ti	Fi	Da

If spelled properly, all 4ths and 5ths rhyme, except for Da-Fi and Fi-Da.