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


== Classifications ==
discuss advantages and disadvantages of lots of enharmonic equivalences (the "extra" notes)
'''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.
 
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
 
== Overview ==
 
=== 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.


'''Diatonic''' solfeges are for mid-sized edos like 17 and 19. '''BC (backwards-compatible) diatonic''' solfeges expand on the conventional Do Re Mi and use traditional vowels plus new ones. '''Uniform diatonic''' solfeges use a uniform vowel sequence for all degrees.
* Fr- = '''f'''lat 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- = '''f'''lat La = minor 6th (mnemonic: F stands for flat)
* Th- = flat Ti = minor 7th


'''Chromatic''' solfeges are for larger edos like 41 and 53. They add 5 or 6 altered consonants: Fr- N- (P-) Sh- Fl- and Th-. All chromatic solfeges are uniform, except for 6edo.
Sharpening and flattening refers to adding/subtracting the [[2187/2048|lawa unison]] Lw1. In edos 7, 14, 21, 28 and 35, there is no need for the altered consonants, since Lw1 is tempered out.


== 5edo ==
The vowel sequence varies depending on the edo or pergen. Edos 5, 7 and 12 have only -a for pl'''a'''in. All other uniform solfeges also have -u for '''u'''p and -o for d'''o'''wn. Larger edos also have either -i for m'''i'''d, or else -i for dup (double-up) and -e for dub-down (double-down). These 5 vowels cover all edos up to ___.
{| class="wikitable"
{| class="wikitable"
|+Kite's solfeges
|+the four vowel sequences
![[5edo]]
!1 vowel
!0
!5, 7, 12
!1
|
!2
|
!3
| -a = plain
!4
|
!5
|
|-
|-
!notes
!3 vowels
|C
!14-22, etc,
|D/Eb
|
|E/F
| -o = down
|G/Ab
| -a = plain
|A/Bb
| -u = up
|C
|
|-
|-
!intervals
!4 vowels
|P1/m2
!31, 41
|M2/m3
| -i = mid
|M3/P4
| -o = down
|P5/m6
| -a = plain
|M6/m7
| -u = up
|M7/P8
| -i = mid
|-
|-
!numeric solfege
!5 vowels
|Wa
!53, 60
|Tu
| -e = dub-down
|Ti
| -o = down
|Fo
| -a = plain
| -u = up
| -i = dup
|}
 
==== 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
*
 
==== Example Scales ====
{| class="wikitable"
|+
! rowspan="2" |3-limit
!Plain major scale
|Da
|Ra
|Ma
|Fa
|Fa
|Wa
|Sa
|La
|Ta
|Da
|-
|-
!chromatic solfege
!Plain minor scale
|Da
|Da
|Ra/Na
|Ra
|Na
|Fa
|Fa
|Sa
|Sa
|La/Tha
|Fla
|Tha
|Da
|Da
|}
== 6edo ==
{| class="wikitable"
|+
Kite's solfeges
![[6edo]]
!0
!1
!2
!3
!4
!5
!6
|-
|-
!notes
! rowspan="2" |5-limit
|C
!Downmajor scale
|D
|Da
|E
|Ra
|F#/Gb
|Mo
|G#/Ab
|Fa
|A#/Bb
|Sa
|C
|Lo
|To
|Da
|-
|-
!intervals
!Upminor scale
|P1
|Da
|M2
|Ra
|M3
|Nu
|A4/d5
|Fa
|A5/m6
|Sa
|A6/m7
|Flu
|P8
|Thu
|Da
|-
|-
!diatonic solfege
! rowspan="2" |7-limit
|Do
!Upmajor scale
|Re
|Da
|Ra
|Mu
|Fa
|Sa
|Lu
|Tu
|Da
|-
!Downminor scale
|Da
|Ra
|No
|Fa
|Sa
|Flo
|Tho
|Da
|-
!11-limit
!Mid scale
|Da
|Ra
|Mi
|Mi
|Fi/Se
|Fa
|Si/Le
|Sa
|Li/Te
|Li
|Do
|-
!numeric solfege
|Wa
|Tu
|Ti
|Ti
|Fo
|Da
|Fa
|Si
|Wa
|}
|}


==7edo==
==== Octave Complement ====
{| class="wikitable"
To find the [[octave complement]] of any interval:
|+
 
![[7edo]]
* change the '''degree''' as usual: 2nd <--> 7th, 3rd <--> 6th, and 4th <--> 5th
* change the '''quality''' as usual: major <--> minor and aug <--> dim, but perfect is unchanged
* 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 <u>un</u>learning 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.
 
== Classifications ==
'''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.
 
'''Diatonic''' solfeges are for mid-sized edos like 17 and 19. '''BC (backwards-compatible) diatonic''' solfeges expand on the conventional Do Re Mi and use traditional vowels plus new ones. '''Uniform diatonic''' solfeges use a uniform vowel sequence for all degrees.
 
'''Chromatic''' solfeges are for larger edos like 41 and 53. They add 6 altered consonants: Fr- N- P- Sh- Fl- and Th-. All chromatic solfeges are uniform, except for 6edo.
 
== 5edo ==
{| class="wikitable"
|+Kite's solfeges
![[5edo]]
!0
!0
!1
!1
Line 114: Line 209:
!4
!4
!5
!5
!6
!7
|-
|-
!notes
!notes
|C
|C
|D
|D/Eb
|E
|E/F
|F
|G/Ab
|G
|A/Bb
|A
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1/m2
|P2
|M2/m3
|P3
|M3/P4
|P4
|P5/m6
|P5
|M6/m7
|P6
|M7/P8
|P7
|P8
|-
|-
!traditional solfege
!numeric solfege
|Do
|Wa
|Re
|Tu
|Mi
|Ti
|Fo
|Fa
|Fa
|So
|Wa
|La
|Ti
|Do
|-
|-
!uniform solfege
!chromatic solfege
|Da
|Da
|Ra
|Ra/Na
|Ma
|Fa
|Fa
|Sa
|Sa
|La
|La/Tha
|Ta
|Da
|Da
|}
|}


==8edo==
== 6edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's numeric solfege, see also edos 9-11
|+
![[8edo]]
Kite's solfeges
![[6edo]]
!0
!0
!1
!1
Line 169: Line 255:
!5
!5
!6
!6
!7
!8
|-
|-
!solfege
!notes
|Wa
|C
|Tu
|D
|Ti
|Fo
|Fa
|Si
|Se
|E
|E
|Wa
|F#/Gb
|}
|G#/Ab
 
|A#/Bb
==9edo==
|C
{| class="wikitable"
|-
|+Kite's solfege, see also 8edo, 10edo & 11edo
!intervals
![[9edo]]
|P1
!0
|M2
!1
|M3
!2
|A4/d5
!3
|A5/m6
!4
|A6/m7
!5
|P8
!6
|-
!7
!diatonic solfege
!8
|Do
!9
|Re
|Mi
|Fi/Se
|Si/Le
|Li/Te
|Do
|-
|-
!solfege
!numeric solfege
|Wa
|Wa
|Tu
|Tu
Line 206: Line 290:
|Fa
|Fa
|Si
|Si
|Se
|E
|Na
|Wa
|Wa
|}
|}


==10edo==
==7edo==
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege, see also 8edo, 9edo & 11edo
|+
![[10edo]]
![[7edo]]
!0
!0
!1
!1
Line 224: Line 305:
!6
!6
!7
!7
!8
!9
!10
|-
|-
!solfege
!notes
|Wa
|C
|Tu
|D
|E
|F
|G
|A
|B
|C
|-
!intervals
|P1
|P2
|P3
|P4
|P5
|P6
|P7
|P8
|-
!traditional solfege
|Do
|Re
|Mi
|Fa
|So
|La
|Ti
|Ti
|Fo
|Do
|-
!uniform solfege
|Da
|Ra
|Ma
|Fa
|Fa
|Si
|Sa
|Se
|La
|E
|Ta
|Na
|Da
|Te
|Wa
|}
|}


==11edo==
==8edo==
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege, see also edos 8-10
|+Kite's numeric solfege, see also edos 9-11
![[11edo]]
![[8edo]]
!0
!0
!1
!1
Line 255: Line 360:
!7
!7
!8
!8
!9
!10
!11
|-
|-
!solfege
!solfege
Line 268: Line 370:
|Se
|Se
|E
|E
|Na
|Te
|Le
|Wa
|Wa
|}
|}
==9edo==
{| class="wikitable"
{| class="wikitable"
|+someone's solfege from 11edo page, subset of 22edo
|+Kite's solfege, see also 8edo, 10edo & 11edo
![[11edo]]
![[9edo]]
!0
!0
!1
!1
Line 286: Line 387:
!8
!8
!9
!9
!10
!11
|-
|-
!solfege
!solfege
|Do
|Wa
|Ra
|Tu
|Re
|Ti
|Me
|Fo
|Mo
|Fa
|Fu
|Si
|Su
|Se
|Lo
|E
|La
|Na
|Ta
|Wa
|Ti
|Do
|}
|}


== 12edo ==
==10edo==
{| class="wikitable"
{| class="wikitable"
|+conventional solfege (-i = sharp, -e = flat, -a = flat Re)
|+Kite's solfege, see also 8edo, 9edo & 11edo
![[12edo]]
![[10edo]]
!0
!0
!1
!1
Line 319: Line 416:
!9
!9
!10
!10
!11
!12
|-
|-
!notes
!solfege
|C
|Wa
|C#/Db
|Tu
|D
|Ti
|D#/Eb
|Fo
|Fa
|Si
|Se
|E
|E
|F
|Na
|F#/Gb
|Te
|G
|Wa
|G#/Ab
|A
|A#/Bb
|B
|C
|-
!intervals
|P1
|A1/m2
|M2
|A2/m2
|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
|}
|}
==11edo==
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege (-a = plain = perfect/major, -u = up = aug, -o = down = dim/minor)
|+Kite's solfege, see also edos 8-10
![[12edo]]
![[11edo]]
!0
!0
!1
!1
Line 382: Line 447:
!10
!10
!11
!11
!12
|-
|-
!notes
!solfege
|C
|Wa
|C#/Db
|Tu
|D
|Ti
|D#/Eb
|Fo
|Fa
|Si
|Se
|E
|E
|F
|Na
|F#/Gb
|Te
|G
|Le
|G#/Ab
|Wa
|A
|}
|A#/Bb
{| class="wikitable"
|B
|+someone's solfege from 11edo page, subset of 22edo
|C
![[11edo]]
|-
!0
!intervals
!1
|P1
!2
|A1/m2
!3
|M2
!4
|A2/m2
!5
|M3
!6
|P4
!7
|A4/d5
!8
|P5
!9
|A5/m6
!10
|M6
!11
|A6/m7
|M7
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Ro
|Ra
|Ra
|Ru/Mo
|Re
|Ma
|Me
|Fa/Po
|Mo
|Pa/So
|Fu
|Sa
|Su
|Su/Lo
|Lo
|La
|La
|Lu/To
|Ta
|Ta
|Da
|Ti
|-
!extras
|
|
|
|
|Fo
|Mu
|Fu
|Pu
|
|
|
|Do
|Do
|Tu
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu/So '''Du'''/Ro Su/Lo Ru/Mo Lu/To Po/Fa '''Da'''


circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Fu/So '''Du'''/Ro Su/Lo Ru/Mo Lu/To Mu/Fa '''Da''' (no Po/Pa needed)
== 12edo ==
 
== 14edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege (-u = up, -a = plain, -o = down), see also 21edo
|+conventional solfege (-i = sharp, -e = flat, -a = flat Re)
![[14edo]]
![[12edo]]
!0
!0
!1
!1
Line 465: Line 510:
!11
!11
!12
!12
!13
!14
|-
|-
!notes
!notes
|C
|C
|^C/vD
|C#/Db
|D
|D
|^D/vE
|D#/Eb
|E
|E
|^E/vF
|F
|F
|^F/vG
|F#/Gb
|G
|G
|^G/vA
|G#/Ab
|A
|A
|^A/vB
|A#/Bb
|B
|B
|^B/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1/v2
|A1/m2
|P2
|M2
|^2/v3
|A2/m2
|P3
|M3
|^3/v4
|P4
|P4
|^4/v5
|A4/d5
|P5
|P5
|^5/v6
|A5/m6
|P6
|M6
|^6/v7
|A6/m7
|P7
|M7
|^7/v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Ro
|Di/Ra
|Ra
|Re
|Ru/Mo
|Ri/Me
|Ma
|Mi
|Mu/Fo
|Fa
|Fa
|Fu/So
|Fi/Se
|Sa
|So
|Su/Lo
|Si/Le
|La
|La
|Lu/To
|Li/Te
|Ta
|Ti
|Tu/Do
|Do
|Da
|}
|}
== 15edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 20edo, 22edo
|+Kite's solfege (-a = plain = perfect/major, -u = up = aug, -o = down = dim/minor)
![[15edo]]
![[12edo]]
!0
!0
!1
!1
Line 537: Line 572:
!11
!11
!12
!12
!13
!14
!15
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|^Db
|C#/Db
|vD
|D
|D/Eb
|D#/Eb
|^Eb
|E
|vE
|F
|E/F
|F#/Gb
|^F
|G
|vG
|G#/Ab
|G/Ab
|A
|^Ab
|A#/Bb
|vA
|B
|A/Bb
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|A1/m2
|vM2
|M2
|M2/m3
|A2/m2
|^m3
|M3
|vM3
|P4
|M3/P4
|A4/d5
|^4
|P5
|v5
|A5/m6
|P5/m6
|M6
|^m6
|A6/m7
|vM6
|M7
|M6/m7
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Ru
|Du/Ro
|Ro
|Ra
|Ra/Mi
|Ru/Mo
|Ma
|Fa/Po
|Pa/So
|Sa
|Su/Lo
|La
|Lu/To
|Ta
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|Mu
|Mo
|Ma/Fa
|Fu
|Fu
|So
|Pu
|Sa/Li
|
|Lu
|
|Lo
|
|La/Ti
|Do
|Tu
|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
circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu/So '''Du'''/Ro Su/Lo Ru/Mo Lu/To Po/Fa '''Da'''
 
circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Fu/So '''Du'''/Ro Su/Lo Ru/Mo Lu/To Mu/Fa '''Da''' (no Po/Pa needed)
 
== 14edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's chromatic solfege (-u = up, -o = down, -a = plain)
|+Kite's solfege (-u = up, -a = plain, -o = down), see also 21edo
![[15edo]]
![[14edo]]
!0
!0
!1
!1
Line 632: Line 656:
!13
!13
!14
!14
!15
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|^Db
|^C/vD
|vD
|D
|D/Eb
|^D/vE
|^Eb
|E
|vE
|^E/vF
|E/F
|F
|^F
|^F/vG
|vG
|G
|G/Ab
|^G/vA
|^Ab
|A
|vA
|^A/vB
|A/Bb
|B
|^Bb
|^B/vC
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|^1/v2
|vM2
|P2
|M2/m3
|^2/v3
|^m3
|P3
|vM3
|^3/v4
|M3/P4
|P4
|^4
|^4/v5
|v5
|P5
|P5/m6
|^5/v6
|^m6
|P6
|vM6
|^6/v7
|M6/m7
|P7
|^m7
|^7/v8
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du/Ro
|Ro
|Ra
|Ra/Na
|Ru/Mo
|Nu
|Ma
|Mo
|Mu/Fo
|Ma/Fa
|Fa
|Fu
|Fu/So
|So
|Sa
|Sa/Fla
|Su/Lo
|Flu
|La
|Lo
|Lu/To
|La/Tha
|Ta
|Thu
|Tu/Do
|To
|Da
|Da
|}
|}
circles of 5ths:  Fru Flu Nu Thu Fu --- Da Sa/Fla Ra/Na La/Tha Ma/Fa Da --- So Ro Lo Mo To
 
== 15edo ==
{| class="wikitable"
{| class="wikitable"
|+someone's solfege from the 15edo page
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 20edo, 22edo
![[15edo]]
![[15edo]]
!0
!0
Line 726: Line 729:
!14
!14
!15
!15
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|^C
|^Db
|vD
|vD
|D
|D/Eb
|^Eb
|^Eb
|vE
|vE
|F
|E/F
|^F
|^F
|vG
|vG
|G
|G/Ab
|^Ab
|^Ab
|vA
|vA
|Bb
|A/Bb
|^Bb
|^Bb
|vB
|vB
Line 747: Line 768:
!intervals
!intervals
|P1
|P1
|^1
|^m2
|vM2
|vM2
|M2
|M2/m3
|^m3
|^m3
|vM3
|vM3
|P4
|M3/P4
|^4
|^4
|v5
|v5
|P5
|P5/m6
|^m6
|^m6
|vM6
|vM6
|m7
|M6/m7
|^m7
|^m7
|vM7
|vM7
Line 764: Line 785:
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Ru
|Ru
|Re
|Ro
|Me
|Ra/Mi
|Mi
|Mu
|Fa
|Mo
|Ma/Fa
|Fu
|Fu
|Su
|So
|So
|Le
|Sa/Li
|La
|Lu
|Ta
|Lo
|La/Ti
|Tu
|Tu
|Ti
|To
|Do
|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
== 16edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's BC diatonic solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
|+Kite's chromatic solfege (-u = up, -o = down, -a = plain)
![[16edo]]
![[15edo]]
!0
!0
!1
!1
Line 802: Line 822:
!14
!14
!15
!15
!16
|-
!cents
|0
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^Db
|D
|vD
|Db/E#
|D/Eb
|E
|^Eb
|Eb
|vE
|F#
|E/F
|F
|^F
|Fb/G#
|vG
|G
|G/Ab
|Gb/A#
|^Ab
|A
|vA
|Ab/B#
|A/Bb
|B
|^Bb
|Bb
|vB
|C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^m2
|M2
|vM2
|m2/A3
|M2/m3
|M3
|^m3
|m3
|vM3
|A4
|M3/P4
|P4
|^4
|d4/A5
|v5
|P5
|P5/m6
|d5/A6
|^m6
|M6
|vM6
|m6/A7
|M6/m7
|M7
|^m7
|m7
|vM7
|A8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|De/Ri
|Fru
|Re
|Ro
|Ra/Ma
|Ra/Na
|Mi
|Nu
|Me
|Mo
|Fi
|Ma/Fa
|Fa
|Fu
|Fe/Si
|So
|So
|Se/Li
|Sa/Fla
|La
|Flu
|Le/Ta
|Lo
|Ti
|La/Tha
|Te
|Thu
|Di
|To
|Do
|Da
|}
|}
circles of 5ths:  Fru Flu Nu Thu Fu --- Da Sa/Fla Ra/Na La/Tha Ma/Fa Da --- So Ro Lo Mo To
{| class="wikitable"
{| class="wikitable"
|+Kite's chromatic solfege (-a = plain, -u = up/dim, -o = down/aug)
|+someone's solfege from the 15edo page
![[16edo]]
![[15edo]]
!0
!0
!1
!1
Line 880: Line 915:
!14
!14
!15
!15
!16
|-
!cents
|0
|75
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
|-
!notes
!notes
|C
|C
|Cb/D#
|^C
|vD
|D
|D
|Db/E#
|^Eb
|E
|vE
|Eb
|F#
|F
|F
|Fb/G#
|^F
|vG
|G
|G
|Gb/A#
|^Ab
|A
|vA
|Ab/B#
|B
|Bb
|Bb
|Bbb/C#
|^Bb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^1
|vM2
|M2
|M2
|m2/A3
|^m3
|M3
|vM3
|m3
|d3/A4
|P4
|P4
|d4/A5
|^4
|v5
|P5
|P5
|d5/A6
|^m6
|M6
|vM6
|m6/A7
|M7
|m7
|m7
|d7/A8
|^m7
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Ro
|Di
|Ra
|Ru
|Fra/Mo
|Re
|Ma
|Me
|Na
|Mi
|Nu/Pa
|Fa
|Fa
|Fu/So
|Fu
|Sa
|Su
|Sha/Lo
|So
|Le
|La
|La
|Fla/To
|Ta
|Ta
|Tha
|Thu/Do
|Da
|-
!extras
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|Tu
|
|Ti
|
|Do
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/Nu/Fo Thu/'''Do''' Fu/So '''Du'''/Ro Sha/Su/Lo Fra/Ru/Mo Fla/Lu/To Na/Mu Tha/Tu Fa '''Da''' 


== 17edo ==
== 16edo ==
{| class="wikitable"
{| class="wikitable"
|+Andrew's solfege (-u = mid)
|+Kite's BC diatonic solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[17edo]]
![[16edo]]
!0
!0
!1
!1
Line 1,000: Line 992:
!15
!15
!16
!16
!17
|-
|-
!notes
!notes
|C
|C
|^C / Db
|Cb/D#
|C# / vD
|D
|D
|^D / Eb
|Db/E#
|D# / vE
|E
|E
|Eb
|F#
|F
|F
|^F / Gb
|Fb/G#
|F# / vG
|G
|G
|^G / Ab
|Gb/A#
|G# / vA
|A
|A
|^A / Bb
|Ab/B#
|A# / vB
|B
|B
|Bb
|C#
|C
|C
|-
|-
!intervals  
!intervals
|P1
|P1
|^1 / m2
|d1/A2
|A1 / ~2
|M2
|M2
|^M2 / m3
|m2/A3
|A2 / ~3
|M3
|M3
|m3
|A4
|P4
|P4
|~4 / d5
|d4/A5
|A4 / ~5
|P5
|P5
|^5 / m6
|d5/A6
|A5 / ~6
|M6
|M6
|^M6 / m7
|m6/A7
|A6 / ~7
|M7
|M7
|m7
|A8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Da / Ra
|De/Ri
|Di / Ru
|Re
|Re
|Ro / Me
|Ra/Ma
|Ri / Mu
|Mi
|Mi
|Me
|Fi
|Fa
|Fa
|Fu / Se
|Fe/Si
|Fi / Su
|So
|So
|Sa / Le
|Se/Li
|Si / Lu
|La
|La
|Lo / Te
|Le/Ta
|Li / Tu
|Ti
|Ti
|Te
|Di
|Do
|Do
|}
|}
circle of 5ths: '''Do''' So Re La Mi Ti Fi/Su '''Di'''/Ru Si/Lu Ri/Mu Li/Tu Fu/Se Ra/'''Da''' Le Me Te Fa '''Do'''
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege (-a = plain, -u = up, -o = down)
|+Kite's chromatic solfege (-a = plain, -u = up/dim, -o = down/aug)
![[17edo]]
![[16edo]]
!0
!0
!1
!1
Line 1,083: Line 1,070:
!15
!15
!16
!16
!17
|-
|-
!notes
!cents
|C
|0
|^C / Db
|75
|vD
|150
|D
|225
|^D / Eb
|300
|vE
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
!notes
|C
|Cb/D#
|D
|Db/E#
|E
|E
|Eb
|F#
|F
|F
|vF# / ^F / Gb
|Fb/G#
|F# / vG
|G
|G
|^G / Ab
|Gb/A#
|vA
|A
|A
|^A / Bb
|Ab/B#
|vB
|B
|B / vC
|Bb
|Bbb/C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|d1/A2
|~2
|M2
|M2
|^M2 / m3
|m2/A3
|~3
|M3
|M3
|m3
|d3/A4
|P4
|P4
|~4 / ^4 / d5
|d4/A5
|A4 / ~5
|P5
|P5
|^5 / m6
|d5/A6
|~6
|M6
|M6
|^M6 / m7
|m6/A7
|~7
|M7
|M7 / v8
|m7
|d7/A8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du / Fra
|Du/Ro
|Ro
|Ra
|Ra
|Ru / Na
|Fra/Mo
|Mo
|Ma
|Ma
|Na
|Nu/Pa
|Fa
|Fa
|Po / Fu
|Fu/So
|Pa / So
|Sa
|Sa
|Su / Fla
|Sha/Lo
|Lo
|La
|La
|Lu / Tha
|Fla/To
|To
|Ta
|Ta / Do
|Tha
|Thu/Do
|Da
|Da
|-
|-
!extras
!extras
|
|
|Fro
|Fro
|Ru
|No
|Mu
|Fo
|
|
|Fru
|No
|
|
|Nu
|Fo
|Mu
Sho
|Sha
|Shu
|Pu
Flo
|
|
|Flu
|Su
|Flo
|Lu
|Tho
|Tho
|Tu
|
|
|Thu
|
|
|Tu
|}
|}
circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Fu '''Du'''/Fra Su/Fla Ru/Na Lu/Tha Fa '''Da'''  
'''Da''' Sa Ra La Ma Ta Pa/Nu/Fo Thu/'''Do''' Fu/So '''Du'''/Ro Sha/Su/Lo Fra/Ru/Mo Fla/Lu/To Na/Mu Tha/Tu Fa '''Da'''


==19edo==
== 17edo ==
{| class="wikitable"
{| class="wikitable"
|+traditional solfege
|+Andrew's solfege (-u = mid)
![[19edo]]
![[17edo]]
!0
!0
!1
!1
Line 1,191: Line 1,190:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|C# / vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|D# / vE
|E
|E
|E#/Fb
|F
|F
|F#
|^F / Gb
|Gb
|F# / vG
|G
|G
|G#/Abb
|^G / Ab
|Ab
|G# / vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|A# / vB
|B
|B
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals  
|P1
|P1
|A1/d2
|^1 / m2
|m2
|A1 / ~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|A2 / ~3
|M3
|M3
|A3/d4
|P4
|P4
|A4
|~4 / d5
|d5
|A4 / ~5
|P5
|P5
|A5/d6
|^5 / m6
|m6
|A5 / ~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|A6 / ~7
|M7
|M7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Do
|Di/Ro
|Da / Ra
|Ra
|Di / Ru
|Re
|Re
|Ri/Ma
|Ro / Me
|Me
|Ri / Mu
|Mi
|Mi
|Mo/Fe
|Fa
|Fa
|Fi
|Fu / Se
|Se
|Fi / Su
|So
|So
|Si/Lo
|Sa / Le
|Le
|Si / Lu
|La
|La
|Li/Ta
|Lo / Te
|Te
|Li / Tu
|Ti
|Ti
|To/Da
|Do
|Do
|}
|}
circle of 5ths: '''Do''' So Re La Mi Ti Fi/Su '''Di'''/Ru Si/Lu Ri/Mu Li/Tu Fu/Se Ra/'''Da''' Le Me Te Fa '''Do'''
{| class="wikitable"
{| class="wikitable"
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
|+Kite's solfege (-a = plain, -u = up, -o = down)
![[19edo]]
![[17edo]]
!0
!0
!1
!1
Line 1,281: Line 1,273:
!16
!16
!17
!17
!18
!19
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^C / Db
|Db
|vD
|D
|D
|D#/Ebb
|^D / Eb
|Eb
|vE
|E
|E
|E#/Fb
|F
|F
|F#
|vF# / ^F / Gb
|Gb
|F# / vG
|G
|G
|G#/Abb
|^G / Ab
|Ab
|vA
|A
|A
|A#/Bbb
|^A / Bb
|Bb
|vB
|B
|B / vC
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1 / m2
|m2
|~2
|M2
|M2
|A2/d3
|^M2 / m3
|m3
|~3
|M3
|M3
|A3/d4
|P4
|P4
|A4
|~4 / ^4 / d5
|d5
|A4 / ~5
|P5
|P5
|A5/d6
|^5 / m6
|m6
|~6
|M6
|M6
|A6/d7
|^M6 / m7
|m7
|~7
|M7
|M7 / v8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Du / Fra
|Ro
|Ro
|Ra
|Ra
|Ru
|Ru / Na
|Mo
|Mo
|Ma
|Ma
|Mu
|Fa
|Fa/Po
|Po / Fu
|Fu/Pa
|Pa / So
|So
|Sa
|Sa
|Su
|Su / Fla
|Lo
|Lo
|La
|La
|Lu
|Lu / Tha
|To
|To
|Ta
|Ta / Do
|Tu/Do
|Da
|Da
|-
|-
!extras
!extras
|Fro
|
|
|Fru
|No
|
|
|Nu
|Fo
|Mu
Sho
|Sha
|Shu
|Pu
Flo
|
|
|Flu
|Tho
|
|
|Thu
|
|
|
|Tu
|
|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'''  
circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Fu '''Du'''/Fra Su/Fla Ru/Na Lu/Tha Fa '''Da'''  
 
==19edo==
{| class="wikitable"
{| class="wikitable"
|+Kite's chromatic solfege (-a = plain, -u = up, -o = down)
|+traditional solfege
![[19edo]]
![[19edo]]
!0
!0
Line 1,407: Line 1,393:
|E#/Fb
|E#/Fb
|F
|F
|F#/Gbb
|F#
|Fx/Gb
|Gb
|G
|G
|G#/Abb
|G#/Abb
Line 1,429: Line 1,415:
|A3/d4
|A3/d4
|P4
|P4
|A4/dd5
|A4
|AA4/d5
|d5
|P5
|P5
|A5/d6
|A5/d6
Line 1,442: Line 1,428:
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Fro
|Di/Ro
|Fra
|Ra
|Ra
|Ru/No
|Re
|Na
|Ri/Ma
|Ma
|Me
|Mu/Fo
|Mi
|Mo/Fe
|Fa
|Fa
|Pa/Sho
|Fi
|Pu/Sha
|Se
|Sa
|So
|Su/Flo
|Si/Lo
|Fla
|Le
|La
|La
|Lu/Tho
|Li/Ta
|Tha
|Te
|Ta
|Ti
|Tu/Do
|To/Da
|Da
|Do
|-
|}
!extras
{| class="wikitable"
|
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
|
![[19edo]]
|
!0
|
!1
|
|
|
|
|Po
|Fu
|So
|Shu
|
|
|
|
|
|
|
|
|}
'''Da''' Sa Ra La Ma Ta Pa/Sho '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' Pu/Sha Fra Fla Na Tha Fa '''Da'''
 
== 20edo ==
{| class="wikitable"
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -e = mid, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo, 22edo
![[20edo]]
!0
!1
!2
!2
!3
!3
Line 1,511: Line 1,472:
!18
!18
!19
!19
!20
|-
|-
!notes
!notes
|C/Db
|C
|^Db
|C#/Dbb
|vvD
|Db
|vD
|D
|D/Eb
|D#/Ebb
|^Eb
|Eb
|vvE
|E
|vE
|E#/Fb
|E/F
|F
|^F
|F#
|^^F/vvG
|Gb
|vG
|G
|G/Ab
|G#/Abb
|^Ab
|Ab
|vvA
|A
|vA
|A#/Bbb
|A/Bb
|Bb
|^Bb
|B
|vvB
|B#/Cb
|vB
|C
|B/C
|-
|-
!intervals
!intervals
|P1/m2
|P1
|^m2
|A1/d2
|~2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|~3
|M3
|vM3
|A3/d4
|M3/P4
|P4
|^4
|A4
|~4/~5
|d5
|v5
|P5
|P5/m6
|A5/d6
|^m6
|m6
|~6
|M6
|vM6
|A6/d7
|M6/m7
|m7
|^m7
|M7
|~7
|A7/d8
|vM7
|P8
|M7/P8
|-
|-
!solfege
!solfege
|Da/Ri
|Da
|Du
|Ro
|Ra
|Ru
|Ru
|Re
|Mo
|Ro
|Ma
|Ra/Mi
|Mu
|Mu
|Me
|Fa/Po
|Mo
|Fu/Pa
|Ma/Fa
|Fu
|Fe/Se
|So
|So
|Sa/Li
|Sa
|Su
|Lo
|La
|Lu
|Lu
|Le
|Lo
|La/Ti
|Tu
|Te
|To
|To
|Ta/Da
|Ta
|}
|Tu/Do
{| class="wikitable"
|Da
|+Kite's chromatic solfege (-u = up, -a = plain, -o = down, -i = mid)
|-
![[20edo]]
!extras
!0
|
!1
|
!2
|
!3
|
|
|
|
|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'''
{| class="wikitable"
|+Kite's chromatic solfege (-a = plain, -u = up, -o = down)
![[19edo]]
!0
!1
!2
!3
!4
!4
!5
!5
Line 1,605: Line 1,585:
!18
!18
!19
!19
!20
|-
|-
!cents
!notes
|0
|C
|60
|C#/Dbb
|120
|Db
|180
|D
|240
|D#/Ebb
|300
|Eb
|360
|E
|420
|E#/Fb
|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
|^F/^Gb
|F#/Gbb
|^^F/vvG
|Fx/Gb
|vF#/vG
|G
|G
|^Ab
|G#/Abb
|vvA
|Ab
|vA
|A
|A/Bb
|A#/Bbb
|^Bb
|Bb
|vvB
|B
|vB
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^m2
|A1/d2
|~2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|~3
|M3
|vM3
|A3/d4
|P4
|P4
|^4/^d5
|A4/dd5
|~4/~5
|AA4/d5
|vA4/v5
|P5
|P5
|^m6
|A5/d6
|~6
|m6
|vM6
|M6
|M6/m7
|A6/d7
|^m7
|m7
|~7
|M7
|vM7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Fru
|Du/Fro
|Ri
|Fra
|Ro
|Ra
|Ra/Na
|Ru/No
|Nu
|Na
|Mi
|Ma
|Mo
|Mu/Fo
|Fa
|Fa
|Fu/Shu
|Pa/Sho
|Fi/Si
|Pu/Sha
|Po/So
|Sa
|Sa
|Flu
|Su/Flo
|Li
|Fla
|Lo
|La
|La/Tha
|Lu/Tho
|Thu
|Tha
|Ti
|Ta
|To
|Tu/Do
|Da
|Da
|-
|-
!extras
!extras
|
|
|Du
|
|
|
|
Line 1,708: Line 1,660:
|
|
|
|
|Ma
|
|
|Po
|Fu
|So
|Shu
|
|
|
|
|Fla
|
|
|
|
Line 1,718: Line 1,672:
|
|
|
|
|
|Do
|
|
|}
|}
Fu/Shu Fru Flu Nu Thu Fu/Shu --- '''Da''' Sa Ra/Na La/Tha Fa '''Da''' --- Po/So Ro Lo Mo To Po/So -- Fi/Si Ri Li Mi Ti Fi/Si
'''Da''' Sa Ra La Ma Ta Pa/Sho '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' Pu/Sha Fra Fla Na Tha Fa '''Da'''


== 21edo ==
== 20edo ==
{| class="wikitable"
{| class="wikitable"
|+Kite's solfege (-a = plain, -u = up, -o = down), see also 14edo
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -e = mid, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo, 22edo
![[21edo]]
![[20edo]]
!0
!0
!1
!1
Line 1,749: Line 1,701:
!19
!19
!20
!20
!21
|-
|-
!notes
!notes
|C
|C/Db
|^C
|^Db
|vvD
|vD
|vD
|D
|D/Eb
|^D
|^Eb
|vvE
|vE
|vE
|E
|E/F
|^E
|vF
|F
|^F
|^F
|^^F/vvG
|vG
|vG
|G
|G/Ab
|^G
|^Ab
|vvA
|vA
|vA
|A
|A/Bb
|^A
|^Bb
|vvB
|vB
|vB
|B
|B/C
|^B
|vC
|C
|-
|-
!intervals
!intervals
|P1
|P1/m2
|^1
|^m2
|v2
|~2
|P2
|vM2
|^2
|M2/m3
|v3
|^m3
|P3
|~3
|^3
|vM3
|v4
|M3/P4
|P4
|^4
|^4
|~4/~5
|v5
|v5
|P5
|P5/m6
|^5
|^m6
|v6
|~6
|P6
|vM6
|^6
|M6/m7
|v7
|^m7
|P7
|~7
|^7
|vM7
|v8
|M7/P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da/Ri
|Du
|Ru
|Re
|Ro
|Ro
|Ra
|Ra/Mi
|Ru
|Mu
|Me
|Mo
|Mo
|Ma
|Ma/Fa
|Mu
|Fo
|Fa
|Fu
|Fu
|Fe/Se
|So
|So
|Sa
|Sa/Li
|Su
|Lu
|Le
|Lo
|Lo
|La
|La/Ti
|Lu
|Tu
|Te
|To
|To
|Ta
|Ta/Da
|Tu
|Do
|Da
|}
|}
 
{| class="wikitable"
== 22edo ==
|+Kite's chromatic solfege (-u = up, -a = plain, -o = down, -i = mid)
{| class="wikitable" style="text-align:center"
![[20edo]]
|+Andrew's solfege
![[22edo]]
!0
!0
!1
!1
Line 1,849: Line 1,795:
!19
!19
!20
!20
!21
|-
!22
!cents
|0
|60
|120
|180
|240
|300
|360
|420
|480
|540
|600
|660
|720
|780
|840
|900
|960
|1020
|1080
|1140
|1200
|-
|-
!notes
!notes
|C
|C
|Db
|^Db
|^Db
|vvD
|vD
|vD
|D
|D/Eb
|Eb
|^Eb
|^Eb
|vvE
|vE
|vE
|E
|F
|F
|^F/Gb
|^F/^Gb
|vF#/^Gb
|^^F/vvG
|F#/vG
|vF#/vG
|G
|G
|Ab
|^Ab
|^Ab
|vvA
|vA
|vA
|A
|A/Bb
|Bb
|^Bb
|^Bb
|vvB
|vB
|vB
|B
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|m2
|^m2
|^m2
|~2
|vM2
|vM2
|M2
|M2/m3
|m3
|^m3
|^m3
|~3
|vM3
|vM3
|M3
|P4
|P4
|^4/d5
|^4/^d5
|vA4/^d5
|~4/~5
|A4/v5
|vA4/v5
|P5
|P5
|m6
|^m6
|^m6
|~6
|vM6
|vM6
|M6
|M6/m7
|m7
|^m7
|^m7
|~7
|vM7
|vM7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Fru
|Ra
|Ri
|Ru
|Ro
|Re
|Ra/Na
|Ma
|Nu
|Me
|Mi
|Mi
|Mo
|Mo
|Fa
|Fa
|Fu
|Fu/Shu
|Fi
|Fi/Si
|Su
|Po/So
|Sol
|Sa
|Flu
|Li
|Lo
|Lo
|Le
|La/Tha
|La
|Thu
|Li
|Ta
|Tu
|Ti
|Ti
|To
|Da
|Da
|Do
|-
|}
!extras
{| class="wikitable" style="text-align:center"
|
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo
|Du
![[22edo]]
|
|
|
|
|
|
|Ma
|
|
|
|Fla
|
|
|
|
|
|
|Do
|
|}
Fu/Shu Fru Flu Nu Thu Fu/Shu --- '''Da''' Sa Ra/Na La/Tha Fa '''Da''' --- Po/So Ro Lo Mo To Po/So -- Fi/Si Ri Li Mi Ti Fi/Si
 
== 21edo ==
{| class="wikitable"
|+Kite's solfege (-a = plain, -u = up, -o = down), see also 14edo
![[21edo]]
!0
!0
!1
!1
Line 1,952: Line 1,939:
!20
!20
!21
!21
!22
|-
|-
!notes
!notes
|C
|C
|Db
|^C
|^Db
|vD
|vD
|D
|D
|Eb
|^D
|^Eb
|vE
|vE
|E
|E
|^E
|vF
|F
|F
|^F
|^F
|vF#/^Gb
|vG
|vG
|G
|G
|Ab
|^G
|^Ab
|vA
|vA
|A
|A
|Bb
|^A
|^Bb
|vB
|vB
|B
|B
|^B
|vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|m2
|^1
|^m2
|v2
|vM2
|P2
|M2
|^2
|m3
|v3
|^m3
|P3
|vM3
|^3
|M3
|v4
|P4
|P4
|^4
|^4
|vA4/^d5
|v5
|v5
|P5
|P5
|m6
|^5
|^m6
|v6
|vM6
|P6
|M6
|^6
|m7
|v7
|^m7
|P7
|vM7
|^7
|M7
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du/Ri
|Du
|Ru
|Ro
|Ro
|Ra
|Ra
|Mi
|Ru
|Mu
|Mo
|Mo
|Ma
|Ma
|Mu
|Fo
|Fa
|Fa
|Fu
|Fu
|Po/Shu
|So
|Pa/So
|Sa
|Sa
|Li
|Su
|Lu
|Lo
|Lo
|La
|La
|Ti
|Lu
|Tu
|To
|To
|Ta
|Ta
|Tu
|Do
|Da
|Da
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/So Ro Lo Mo To Po/Shu Ru Lu Mu Tu Fu Du/Ri Li Mi <u>Ti Fa</u> '''Da'''
 
== 22edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's chromatic solfege (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
|+Andrew's solfege
![[22edo]]
![[22edo]]
!0
!0
Line 2,108: Line 2,092:
|-
|-
!solfege
!solfege
|Da
|Do
|Fra
|Di
|Fru
|Ro
|Ra
|Ra
|Na
|Ru
|Nu
|Re
|Ma
|Me
|Mi
|Mo
|Mo
|Ma
|Fa
|Fa
|Fu/Sha
|Fu
|Po/Shu
|Fi
|Pa/So
|Su
|Sa
|Sol
|Fla
|Flu
|Lo
|Lo
|Le
|La
|La
|Tha
|Li
|Thu
|To
|Ta
|Ta
|Tu
|Ti
|Da
|Da
|-
|Do
!extras
|}
|Fro
{| class="wikitable" style="text-align:center"
|Du
|+Kite's diatonic solfege (-i = m<u>i</u>nor, -u = <u>u</u>pminor, -o = d<u>o</u>wnmajor, -a = m<u>a</u>jor), see 15edo
|
![[22edo]]
|
!0
|No
!1
|Ru
!2
|
!3
|
|Fo
|Mu
Sho
|
|
|
|Pu
Flo
|Su
|
|
|Tho
|Lu
|
|
|Do
|Tu
|}
'''Da''' Sa Ra La Ma Ta Pa/So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu/Sha Fra Fla Na Tha Fa '''Da'''
 
==24edo==
{| class="wikitable" style="text-align:center"
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
![[24edo]]
!0
!1
!2
!3
!4
!4
!5
!5
Line 2,188: Line 2,142:
!21
!21
!22
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
vDb
|Db
|Db
|^Db
|vD
|vD
|D
|D
|^D
vEb
|Eb
|Eb
|^Eb
|vE
|vE
|E
|E
|^E
vF
|F
|F
|^F
|^F
vGb
|vF#/^Gb
|F#
|vG
Gb
|^F#
vG
|G
|G
|^G
vAb
|Ab
|Ab
|^Ab
|vA
|vA
|A
|A
|^A
vBb
|Bb
|Bb
|^Bb
|vB
|vB
|B
|B
|^B
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
vm2
|m2
|m2
|~2
|^m2
|vM2
|M2
|M2
|^M2
vm3
|m3
|m3
|~3
|^m3
|vM3
|M3
|M3
|^M3
v4
|P4
|P4
|^4
|^4
vd5
|vA4/^d5
|A4
|v5
d5
|^A4
v5
|P5
|P5
|^5
vm6
|m6
|m6
|~6
|^m6
|vM6
|M6
|M6
|^M6
vm7
|m7
|m7
|~7
|^m7
|vM7
|M7
|M7
|^M7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Da
Ru
|Du/Ri
|Ru
|Ro
|Ro
|Ra
|Ra
|Re
|Mi
|Ri
|Mu
Mu
|Mo
|Mo
|Ma
|Ma
|Me
|Mi
Fu
|Fo
|Fa
|Fa
Su
|Fu
|Fe
|Po/Shu
So
|Pa/So
|Fi
|Sa
Sa
|Li
|Se
|Lu
|Si
Lu
|Lo
|Lo
|La
|La
|Le
|Ti
|Li
|Tu
Tu
|To
|To
|Ta
|Ta
|Te
|Da
|Ti
Du
|Do
|}
|}
'''Da''' Sa Ra La Ma Ta Pa/So Ro Lo Mo To Po/Shu Ru Lu Mu Tu Fu Du/Ri Li Mi <u>Ti Fa</u> '''Da'''
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's chromatic solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
|+Kite's chromatic solfege (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
![[24edo]]
![[22edo]]
!0
!0
!1
!1
Line 2,325: Line 2,245:
!21
!21
!22
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
vDb
|Db
|Db
|^Db
|^Db
vD
|vD
|D
|D
|^D
vEb
|Eb
|Eb
|^Eb
|^Eb
vE
|vE
|E
|E
|^E
vF
|F
|F
|^F
|^F/Gb
vF#
|vF#/^Gb
vGb
|F#/vG
|F#
Gb
|^F#
^Gb
vG
|G
|G
|^G
|Ab
vAb
|Ab
|^Ab
|^Ab
vA
|vA
|A
|A
|^A
vBb
|Bb
|Bb
|^Bb
|^Bb
vB
|vB
|B
|B
|^B
vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
vm2
|m2
|m2
|~2
|^m2
|vM2
|M2
|M2
|^M2
vm3
|m3
|m3
|~3
|^m3
|vM3
|M3
|M3
|^M3
v4
|P4
|P4
|~4
|^4/d5
vd5
|vA4/^d5
|A4
|A4/v5
d5
|~5
v5
|P5
|P5
|^5
vm6
|m6
|m6
|~6
|^m6
|vM6
|M6
|M6
|^M6
|m7
vm7
|^m7
|m7
|vM7
|~7
|M7
|M7
|^M7
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
Fro
|Fra
|Fra
|Fru
|Fru
Ro
|Ro
|Ra
|Ra
|Ru
No
|Na
|Na
|Nu
|Nu
Mo
|Mo
|Ma
|Ma
|Mu
Fo
|Fa
|Fa
|Fu
|Fu/Sha
Po
|Po/Shu
 
|Pa/So
Sho
|Pa
Sha
|Pu
Shu
So
|Sa
|Sa
|Su
Flo
|Fla
|Fla
|Flu
|Flu
Lo
|Lo
|La
|La
|Lu
|Tha
 
Tho
|Tha
|Thu
|Thu
To
|To
|Ta
|Ta
|Tu
Do
|Da
|Da
|}
|-
plain/up/down rings:
!extras
 
|Fro
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
{| class="wikitable"
|+mid ring
|Du
|Du
|Su
|
|
|No
|Ru
|Ru
|Lu
|
|
|Fo
|Mu
|Mu
|Tu
Sho
|Pu/Shu
|
|Fru
|
|Flu
|
|Nu
|Pu
|Thu
Flo
|Fu
|Su
|Du
|
|-
|
|Fro
|Tho
|Flo
|Lu
|No
|
|Tho
|
|Fo
|Do
|Do
|Tu
|So
|}
|Ro
'''Da''' Sa Ra La Ma Ta Pa/So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu/Sha Fra Fla Na Tha Fa '''Da'''
|Lo
 
|Mo
==24edo==
|To
{| class="wikitable" style="text-align:center"
|Po/Sho
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
|Fro
![[24edo]]
|}
!0
 
!1
== 26edo ==
!2
{| class="wikitable" style="text-align:center"
!3
|+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
!4
![[26edo]]
!5
!edosteps
!6
!Kite's
!7
!Phylingual's
!8
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!9
|-
!10
!unisons
!11
|0-1
!12
|Da Du
!13
|Do Di
!14
|P1 A1
!15
|C C#
!16
|-
!17
!2nds
!18
|2-5
!19
|Ro Ri Ra Ru
!20
|Rih Ru Re Ri
!21
|d2 m2 M2 A2
!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
|}
{| class="wikitable" style="text-align:center"
|+Kite's chromatic 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
|}
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
{| class="wikitable"
|+mid ring
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Sho
|Fro
|}
{| class="wikitable" style="text-align:center"
|+Kite's chromatic solfege (-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 inbetween notes (50¢, 250¢, 450¢) as up notes, which is nice.
 
== 26edo ==
{| class="wikitable" style="text-align:center"
|+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
![[26edo]]
!edosteps
!Kite's
!Phylingual's
! colspan="2" |[[Ups and downs notation|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#
|Dbb Db D D#
|-
|-
Line 3,032: Line 3,338:
circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To <u>Fo '''De'''</u> Se Re Le Me Te <u>Fe '''Du'''</u> Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti <u>Fi '''Da'''</u>  
circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To <u>Fo '''De'''</u> Se Re Le Me Te <u>Fe '''Du'''</u> Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti <u>Fi '''Da'''</u>  
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's chromatic solfege (-u = up, -o = down, -a = plain), see 41edo
|+uniform solfege (-u = up, -o = down, -a = plain), see 41edo
![[31edo]]
![[31edo]]
!edosteps
!edosteps
Line 3,156: Line 3,462:
|vC C (^C)
|vC C (^C)
|}
|}
== 34edo ==
has two rings


== 36edo ==
== 36edo ==
Retrieved from "https://en.xen.wiki/w/User:TallKite/Solfeges"