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* list of solfeges page has all edos and pergens, with all 3 types of solfeges
* list of solfeges page has all edos and pergens, with all 3 types of solfeges


== Overview ==
== 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 ==
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.
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- = '''f'''lat Re = minor 2nd (mnemonic: F stands for flat)
* Fr- = '''f'''lat Re = minor 2nd (mnemonic: F stands for flat)
Line 29: Line 34:
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. Some other edos (12, ??) also omit them.
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. Some other edos (12, ??) also omit them.


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 dud (double-down). These 5 vowels cover all the more popular edos up to 60. It fails for edos with a [[sharpness]] or penta-sharpness of 6 or higher, for those edos need 6 or more vowels. Every edo above 60 fails. A 6th vowel could of course be added, which would allow up to 72edo.
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).  
{| class="wikitable"
{| class="wikitable"
|+the four vowel sequences
|+the three vowel sequences
!1 vowel
!5, 7, 12
|
|
| -a = plain
|
|
|-
|-
!3 vowels
!3 vowels
Line 64: Line 62:
| -i = dup
| -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 ====
=== Examples ===


* 12edo: Da Fra Ra Na Ma Fa Pa/Sha Sa Fla La Tha Ta Da
* 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
* 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 sharp-1 edos, to up an interval means to augment it. Thus Fu = Pa and So = Sha. Ra = Fru and Fra = Ro.


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In sharp-2 and sharp-4 edos, mid is spelled as downmajor, downaug for the 4th, and downperfect for the 5th
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 [[Sharpness|penta-sharpness]], there are "in-between" notes with two names. For example, 4\19 is named as both a 2nd and a 3rd (Ru/No), as is 5\24.
In edos with an even [[Sharpness|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".  


==== Example Scales ====
* 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)
(The prime limits assumes a larger edo in which both 81/80 and 64/63 = 1 edostep)
{| class="wikitable"
{| class="wikitable"
Line 146: Line 155:
|}
|}


==== Octave Complement ====
=== Octave Complement ===
To find the [[octave complement]] of any interval:
To find the [[octave complement]] of any interval:


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


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


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


==== Adding/subtracting 4ths and 5ths ====
=== 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.
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.
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 ====
=== 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.
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.


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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.
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 ====
=== 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:
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:


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Multi-ring edos mostly have one vowel (or two equivalent vowels) per ring, e.g. 10, 14, 15, 24 and 36.
Multi-ring edos mostly have one vowel (or two equivalent vowels) per ring, e.g. 10, 14, 15, 24 and 36.
== 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.
'''BC (backwards-compatible)''' solfeges are for mid-sized edos like 17 and 19. They expand on the conventional Do Re 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.


== About the edo list ==
== About the edo list ==
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|-
|-
!-o -a -u
!-o -a -u
|14 21
|12 14 21
|
|
|10 15 16 17 19 22 24  
|10 15 16 17 19 22 24  
Line 242: Line 244:


== 5edo ==
== 5edo ==
{| class="wikitable"
{| class="wikitable" style="text-align:center"
|+Kite's solfeges
|+solfeges
![[5edo]]
![[5edo]]
!0
!0
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!notes
!notes
|C
|C
|D/Eb
|D / Eb
|E/F
|E / F
|G/Ab
|G / Ab
|A/Bb
|A / Bb
|C
|C
|-
|-
!intervals
!intervals
|P1/m2
|P1
|M2/m3
|M2 / m3
|M3/P4
|M3 / P4
|P5/m6
|P5 / m6
|M6/m7
|M6 / m7
|M7/P8
|P8
|-
|-
!numeric solfege
!numeric solfege
Line 278: Line 280:
!uniform solfege
!uniform solfege
|Da
|Da
|Ra/Na
|Ra / Na
|Fa
|Fa
|Sa
|Sa
|La/Tha
|La / Tha
|Da
|Da
|-
|-
!BC solfege
!BC solfege
|Do
|Do
|Re/Me
|Re / Me
|Fa
|Fa
|So
|So
|La/Te
|La / Te
|Do
|Do
|}
|}
 
{| class="wikitable" style="text-align:center"
== 6edo ==
{| class="wikitable"
|+
|+
Kite's solfeges
uniform circle of fifths
![[6edo]]
!
!0
!0
!3
!1
!1
!4
!2
!2
!3
!4
!5
!5
!6
|-
|-
!notes
!-a
|Da
|Sa
|Ra
|La
|
|
|-
!-a
|
|
|Na
|Tha
|Fa
|Da
|}
== 6edo ==
{| class="wikitable"
|+
BC & numeric solfeges
![[6edo]]
!0
!1
!2
!3
!4
!5
!6
|-
!notes
|C
|C
|D
|D
|E
|E
|F#/Gb
|F# / Gb
|G#/Ab
|G# / Ab
|A#/Bb
|A# / Bb
|C
|C
|-
|-
Line 319: Line 347:
|M2
|M2
|M3
|M3
|A4/d5
|A4 / d5
|A5/m6
|A5 / m6
|A6/m7
|A6 / m7
|P8
|P8
|-
|-
Line 328: Line 356:
|Re
|Re
|Mi
|Mi
|Fi/Se
|Fi / Se
|Si/Le
|Si / Le
|Li/Te
|Li / Te
|Do
|Do
|-
|-
Line 375: Line 403:
|P7
|P7
|P8
|P8
|-
!uniform solfege
|Da
|Ra
|Ma
|Fa
|Sa
|La
|Ta
|Da
|-
|-
!BC solfege
!BC solfege
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|Ti
|Ti
|Do
|Do
|-
|}
!uniform solfege
{| class="wikitable"
|Da
|+circle of fifths
|Ra
!
|Ma
!0
|Fa
!4
!1
!5
!2
!6
!3
!7
|-
!uniform
|Da
|Sa
|Sa
|Ra
|La
|La
|Ma
|Ta
|Ta
|Fa
|Da
|Da
|-
!BC
|Do
|So
|Re
|La
|Mi
|Ti
|Fa
|Do
|}
|}
circle of 5ths: Da Sa Ra La Ma Ta Fa Da


==8edo==
== 8edo ==
{| class="wikitable"
{| class="wikitable"
|+numeric solfege, see also edos 9-11
|+numeric solfege, see also edos 9-11
Line 454: Line 513:
==10edo==
==10edo==
{| class="wikitable"
{| class="wikitable"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+numeric solfege, see also 8edo, 9edo & 11edo
![[10edo]]
![[10edo]]
!0
!0
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!10
!10
|-
|-
!cents
!solfege
|0
|Wa
|120
|Tu
|240
|Ti
|360
|Fo
|480
|Fa
|600
|Si
|720
|Se
|840
|E
|Na
|Te
|Wa
|}
{| class="wikitable"
|+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
|960
|1080
|1080
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|C
|C
|vD
|vD
|D/Eb
|D / Eb
|vE
|vE
|F
|F
|vF#/vG
|vF# / vG
|G
|G
|vA
|vA
|A/Bb
|A / Bb
|vB
|vB
|C
|C
Line 497: Line 584:
|P1
|P1
|~2
|~2
|M2/m3
|M2 / m3
|~3
|~3
|P4
|P4
|~4/~5
|~4 / ~5
|P5
|P5
|~6
|~6
|M6/m7
|M6 / m7
|~7
|~7
|P8
|P8
Line 510: Line 597:
|Da
|Da
|Ro
|Ro
|Ra/Na
|Ra / Na
|Mo
|Mo
|Fa
|Fa
|Po/So
|Po / So
|Sa
|Sa
|Lo
|Lo
|La/Tha
|La / Tha
|To
|To
|Da
|Da
Line 522: Line 609:
!extra names
!extra names
|
|
|Du/Fru
|Du / Fru
|
|
|Nu
|Nu
|Ma
|Ma
|Fu/Shu
|Fu / Shu
|Fla
|Fla
|Flu
|Flu
|
|
|Thu/Do
|Thu / Do
|
|
|}
|}
plain/down rings: Da Sa Ra/Na La/Tha Fa Da --- Po/So Ro Lo Mo To Po/So
'''circles of fifths'''
{| class="wikitable"
{| class="wikitable" style="text-align:center"
|+numeric solfege, see also 8edo, 9edo & 11edo
! colspan="7" |plain circle
![[10edo]]
| rowspan="4" |
! colspan="7" |down circle
|-
!
!0
!0
!1
!6
!2
!2
!3
!8
!4
!4
!5
!10
!6
!
!7
!1
!8
!7
!9
!3
!10
!9
|-
!5
!solfege
!1
|Wa
|-
|Tu
!-a
|Ti
|Da
|Fo
|Sa
|Fa
|Ra
|Si
|La
|Se
|
|E
|
|Na
!-o
|Te
|Ro
|Wa
|Lo
|}
|Mo
 
|To
==11edo==
|Po
{| class="wikitable"
|
|+numeric solfege, see also edos 8-10
|-
![[11edo]]
!-a
!0
|
!1
|
|Na
|Tha
|Fa
|Da
!-o
|
|
|
|
|So
|Ro
|}
==11edo==
{| class="wikitable"
|+numeric solfege, see also edos 8-10
![[11edo]]
!0
!1
!2
!2
!3
!3
Line 645: Line 753:
!notes
!notes
|C
|C
|C#/Db
|C# / Db
|D
|D
|D#/Eb
|D# / Eb
|E
|E
|F
|F
|F#/Gb
|F# / Gb
|G
|G
|G#/Ab
|G# / Ab
|A
|A
|A#/Bb
|A# / Bb
|B
|B
|C
|C
Line 660: Line 768:
!intervals
!intervals
|P1
|P1
|A1/m2
|A1 / m2
|M2
|M2
|A2/m2
|A2 / m3
|M3
|M3
|P4
|P4
|A4/d5
|A4 / d5
|P5
|P5
|A5/m6
|A5 / m6
|M6
|M6
|A6/m7
|A6 / m7
|M7
|M7
|P8
|P8
Line 675: Line 783:
!solfege
!solfege
|Do
|Do
|Di/Ra
|Di / Ra
|Re
|Re
|Ri/Me
|Ri / Me
|Mi
|Mi
|Fa
|Fa
|Fi/Se
|Fi / Se
|So
|So
|Si/Le
|Si / Le
|La
|La
|Li/Te
|Li / Te
|Ti
|Ti
|Do
|Do
|}
|}
{| class="wikitable"
'''circle of fifths (asymmetrical and major-centric)'''
|+uniform solfege (-a = plain = perfect/major, -u = up = aug, -o = down = dim/minor)
{| class="wikitable" style="text-align:center"
![[12edo]]
!0
!0
!1
!7
!2
!2
!3
!9
!4
!4
!5
!11
!6
!6
!7
!1
!8
!8
!9
!3
!10
!5
!12
|-
|Do
|So
|Re
|La
|Mi
|Ti
|Fi
|Di
|Si
|Ri
|Li
|
|
|-
|
|
|
|
|
|
|Se
|Ra
|Le
|Me
|Te
|Fa
|Da
|-
! colspan="2" |perfect
! colspan="4" |major
! colspan="5" |aug / minor
! colspan="2" |perfect
|}
{| class="wikitable"
|+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
!10
!11
!11
Line 707: Line 864:
!notes
!notes
|C
|C
|C#/Db
|C# / Db
|D
|D
|D#/Eb
|D# / Eb
|E
|E
|F
|F
|F#/Gb
|F# / Gb
|G
|G
|G#/Ab
|G# / Ab
|A
|A
|A#/Bb
|A# / Bb
|B
|B
|C
|C
Line 722: Line 879:
!intervals
!intervals
|P1
|P1
|A1/m2
|A1 / m2
|M2
|M2
|A2/m2
|A2 / m3
|M3
|M3
|P4
|P4
|A4/d5
|A4 / d5
|P5
|P5
|A5/m6
|A5 / m6
|M6
|M6
|A6/m7
|A6 / m7
|M7
|M7
|P8
|P8
Line 737: Line 894:
!solfege
!solfege
|Da
|Da
|Du/Ro
|Du / Ro
|Ra
|Ra
|Ru/Mo
|Ru / Mo
|Ma
|Ma
|Fa/Po
|Fa
|Pa/So
|Fu / So
|Sa
|Sa
|Su/Lo
|Su / Lo
|La
|La
|Lu/To
|Lu / To
|Ta
|Ta
|Da
|Da
Line 757: Line 914:
|Fo
|Fo
|Mu
|Mu
|Fu
|
|Pu
|
|
|
|
|
Line 765: Line 922:
|Tu
|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 fifths (asymmetrical and major-centric)'''
 
{| class="wikitable" style="text-align:center"
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)
!
 
== 13b-edo ==
 
== 14edo ==
{| class="wikitable"
|+uniform solfege (-u = up, -a = plain, -o = down), see also 21edo
![[14edo]]
!0
!0
!1
!7
!2
!2
!3
!9
!4
!4
!5
!11
!6
!6
!7
!1
!8
!8
!9
!3
!10
!10
!11
!5
!12
!12
!13
!14
|-
|-
!notes
!-a
|C
|Da
|^C/vD
|Sa
|D
|Ra
|^D/vE
|La
|E
|Ma
|^E/vF
|Ta
|F
|
|^F/vG
|
|G
|
|^G/vA
|
|A
|
|^A/vB
|
|B
|
|^B/vC
|C
|-
|-
!intervals
!-o
|P1
|
|^1/v2
|
|P2
|
|^2/v3
|
|P3
|
|^3/v4
|
|P4
|So
|^4/v5
|Ro
|P5
|Lo
|^5/v6
|Mo
|P6
|To
|^6/v7
|
|P7
|
|^7/v8
|-
|P8
!-u
|-
|
!uniform solfege
|
|Da
|
|Du/Ro
|
|Ra
|
|Ru/Mo
|
|Ma
|Fu
|Mu/Fo
|Du
|Su
|Ru
|Lu
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Fa
|Fu/So
|Sa
|Su/Lo
|La
|Lu/To
|Ta
|Tu/Do
|Da
|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
|+uniform solfege #2 (-a = plain = perfect/major, -u = aug)
![[15edo]]
![[12edo]]
!0
!0
!1
!1
Line 860: Line 1,015:
!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 / m3
|^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 / Fra
|Ro
|Ra
|Ra/Mi
|Ru / Na
|Ma
|Fa
|Pa / Sha
|Sa
|Su / Fla
|La
|Lu / Tha
|Ta
|Da
|-
!extras
|
|
|
|
|Fo
|Mu
|Mu
|Mo
|
|Ma/Fa
|
|Fu
|
|So
|
|Sa/Li
|
|Lu
|Do
|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
'''circle of fifths (asymmetrical and major-centric)'''
{| class="wikitable"
{| class="wikitable" style="text-align:center"
|+uniform solfege (-u = up, -o = down, -a = plain)
!
![[15edo]]
!0
!0
!1
!7
!2
!2
!3
!9
!4
!4
!5
!11
!6
!6
!7
!1
!8
!8
!9
!3
!10
!10
!11
!5
!12
!12
!13
!14
!15
|-
|-
!cents
!-a
|0
|Da
|80
|Sa
|160
|Ra
|240
|La
|320
|Ma
|400
|Ta
|480
|Pa
|560
|
|640
|
|720
|
|800
|
|880
|
|960
|
|1040
|1120
|1200
|-
|-
!notes
!-u
|C
|
|^Db
|
|vD
|
|D/Eb
|
|^Eb
|
|vE
|
|E/F
|
|^F/^Gb
|Du
|vF#/vG
|Su
|G/Ab
|Ru
|^Ab
|Lu
|vA
|
|A/Bb
|
|^Bb
|vB
|C
|-
|-
!intervals
!-a
|P1
|^m2
|vM2
|M2/m3
|^m3
|vM3
|M3/P4
|^4/^d5
|vA4/v5
|P5/m6
|^m6
|vM6
|M6/m7
|^m7
|vM7
|P8
|-
!solfege
|Da
|Fru
|Ro
|Ra/Na
|Nu
|Mo
|Fa
|Fu/Shu
|Po/So
|Sa
|Flu
|Lo
|La/Tha
|Thu
|To
|Da
|-
!extras
|
|
|Du
|
|
|
|
|
|
|
|Ma
|
|
|
|
|Sha
|Fra
|Fla
|Fla
|
|Na
|
|Tha
|
|Fa
|
|Da
|Do
|
|}
|}
up/plain/down rings:  Fu/Shu Fru Flu Nu Thu Fu/Shu --- Da Sa Ra/Na La/Tha Fa Da --- Po/So Ro Lo Mo To Po/So
== 13b-edo ==
{| class="wikitable"
{| class="wikitable" style="text-align:center"
|+someone's BC solfege from the 15edo page
|+uniform solfege (-a = plain, -u = up, -o = down) (no Pa or Sha)
![[15edo]]
![[13edo]]
!0
!0
!1
!1
Line 1,065: Line 1,156:
!12
!12
!13
!13
!14
!15
|-
|-
!notes
!notes
|C
|C
|^C
|^C/D
|vD
|^D/E
|D
|vDb/^E
|^Eb
|Db/vEb
|vE
|Eb/vF
|F
|F
|^F
|vG
|G
|G
|^Ab
|^G/A
|vA
|^A/B
|Bb
|vAb/^B
|^Bb
|Ab/vBb
|vB
|Bb/vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|^1/M2
|vM2
|^M2/M3
|M2
|vm2/^M3
|^m3
|m2/vm3
|vM3
|m3/v4
|P4
|P4
|^4
|v5
|P5
|P5
|^m6
|^5/M6
|vM6
|^M6/M7
|m7
|vm6/^M7
|^m7
|m6/vm7
|vM7
|m7/v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Du/Ra
|Ru
|Ru/Ma
|Re
|Fro/Mu
|Me
|Fra/No
|Mi
|Na/Fo
|Fa
|Fa
|Fu
|Sa
|Su
|Su/La
|So
|Lu/Ta
|Le
|Flo/Tu
|La
|Fla/Tho
|Ta
|Tha/Do
|Tu
|Da
|Ti
|Do
|}
|}
 
'''circle of fifths'''
== 16edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable"
!
|+Kite's BC diatonic solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
![[16edo]]
!0
!0
!7
!1
!1
!8
!2
!2
!9
!3
!3
!10
!4
!4
!11
!5
!5
!12
!6
!6
!7
!8
!9
!10
!11
!12
!13
!13
!14
!15
!16
|-
|-
!notes
!-a
|C
|Da
|Cb/D#
|Sa
|D
|Ra
|Db/E#
|La
|E
|Ma
|Eb
|Ta
|F#
|
|F
|
|Fb/G#
|
|G
|
|Gb/A#
|
|A
|
|Ab/B#
|
|B
|
|Bb
|-
|C#
!-u
|C
|
|
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|
|
|
|
|
|
|-
|-
!intervals
!-o
|P1
|
|d1/A2
|
|M2
|
|m2/A3
|
|M3
|
|m3
|
|A4
|Fro
|P4
|Flo
|d4/A5
|No
|P5
|Tho
|d5/A6
|Fo
|M6
|Do
|m6/A7
|
|M7
|
|m7
|A8
|P8
|-
|-
!solfege
!-a
|Do
|
|De/Ri
|
|Re
|
|Ra/Ma
|
|Mi
|
|Me
|
|Fi
|
|
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
|Fe/Si
|Da
|So
|}
|Se/Li
== 14edo ==
|La
{| class="wikitable"
|Le/Ta
|+uniform solfege (-a = plain, -u = up, -o = down), see also 21edo
|Ti
![[14edo]]
|Te
|Di
|Do
|}
{| class="wikitable"
|+uniform solfege (-a = plain, -u = up/dim, -o = down/aug)
![[16edo]]
!0
!0
!1
!1
Line 1,220: Line 1,306:
!13
!13
!14
!14
!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#
|^D/vE
|E
|E
|Eb
|^E/vF
|F#
|F
|F
|Fb/G#
|^F/vG
|G
|G
|Gb/A#
|^G/vA
|A
|A
|Ab/B#
|^A/vB
|B
|B
|Bb
|^B/vC
|Bbb/C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|d1/A2
|^1/v2
|M2
|P2
|m2/A3
|^2/v3
|M3
|P3
|m3
|^3/v4
|d3/A4
|P4
|P4
|d4/A5
|^4/v5
|P5
|P5
|d5/A6
|^5/v6
|M6
|P6
|m6/A7
|^6/v7
|M7
|P7
|m7
|^7/v8
|d7/A8
|P8
|P8
|-
|-
!solfege
!uniform solfege
|Da
|Da
|Du/Ro
|Du/Ro
|Ra
|Ra
|Fra/Mo
|Ru/Mo
|Ma
|Ma
|Na
|Mu/Fo
|Nu/Pa
|Fa
|Fa
|Fu/So
|Fu/So
|Sa
|Sa
|Sha/Lo
|Su/Lo
|La
|La
|Fla/To
|Lu/To
|Ta
|Ta
|Tha
|Tu/Do
|Thu/Do
|Da
|Da
|}
'''circles of fifths'''
{| class="wikitable" style="text-align:center"
|+
! colspan="9" |plain circle
| rowspan="4" |
! colspan="9" |up/down circle
|-
|-
!extras
!
|
!0
|
!8
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Su
|Flo
|Lu
|Tho
|Tu
|
|
|}
'''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 ==
{| class="wikitable"
|+Andrew's BC solfege (-u = mid)
![[17edo]]
!0
!1
!2
!2
!3
!10
!4
!4
!5
!12
!6
!6
!14
!
!7
!7
!8
!1
!9
!9
!10
!3
!11
!11
!12
!5
!13
!13
!14
!7
!15
!16
!17
|-
|-
!notes
!-a
|C
|Da
|^C / Db
|Sa
|C# / vD
|Ra
|D
|La
|^D / Eb
|Ma
|D# / vE
|Ta
|E
|Fa
|F
|Da
|^F / Gb
!-u
|F# / vG
|Fu
|G
|Du
|^G / Ab
|Su
|G# / vA
|Ru
|A
|Lu
|^A / Bb
|Mu
|A# / vB
|Tu
|B
|Fu
|C
|-
|-
!intervals
| colspan="9" |
|P1
!-o
|^1 / m2
|So
|A1 / ~2
|Ro
|M2
|Lo
|^M2 / m3
|Mo
|A2 / ~3
|To
|M3
|Fo
|P4
|Do
|~4 / d5
|So
|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
|}
|}
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'''
==15edo==
{| class="wikitable"
{| class="wikitable"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+uniform solfege (-u = up, -o = down, -a = plain)
![[17edo]]
![[15edo]]
!0
!0
!1
!1
Line 1,423: Line 1,434:
!14
!14
!15
!15
!16
!17
|-
|-
!notes
!cents
|C
|0
|^C / Db
|80
|vD
|160
|D
|240
|^D / Eb
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
!notes
|C
|^Db
|vD
|D / Eb
|^Eb
|vE
|vE
|E
|E / F
|F
|^F / ^Gb
|vF# / ^F / Gb
|vF# / vG
|F# / vG
|G / Ab
|G
|^Ab
|^G / Ab
|vA
|vA
|A
|A / Bb
|^A / Bb
|^Bb
|vB
|vB
|B / vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1 / m2
|^m2
|~2
|vM2
|M2
|M2 / m3
|^M2 / m3
|^m3
|~3
|vM3
|M3
|M3 / P4
|P4
|^4 / ^d5
|~4 / ^4 / d5
|vA4 / v5
|A4 / ~5
|P5 / m6
|P5
|^m6
|^5 / m6
|vM6
|~6
|M6 / m7
|M6
|^m7
|^M6 / m7
|vM7
|~7
|M7 / v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du / Fra
|Fru
|Ro
|Ro
|Ra
|Ra / Na
|Ru / Na
|Nu
|Mo
|Mo
|Ma
|Fa
|Fa
|Po / Fu
|Fu / Shu
|Pa / So
|Po / So
|Sa
|Sa
|Su / Fla
|Flu
|Lo
|Lo
|La
|La / Tha
|Lu / Tha
|Thu
|To
|To
|Ta / Do
|Da
|Da
|-
|-
!extras
!extras
|Fro
|
|
|Fru
|Du
|No
|
|
|
|
|
|
|
|
|
|
|
|Nu
|Fo
|Mu
Sho
|Sha
|Shu
|Pu
Flo
|
|
|Flu
|Tho
|
|
|Thu
|Do
|
|
|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'''
'''circles of fifths'''
 
{| class="wikitable" style="text-align:center"
== 18b-edo ==
! colspan="6" |plain circle
 
| rowspan="4" |
==19edo==
! colspan="6" |up circle
{| class="wikitable"
| rowspan="4" |
|+traditional solfege
! colspan="6" |down circle
![[19edo]]
|-
!0
!0
!9
!3
!12
!6
!15
!1
!1
!2
!10
!3
!4
!4
!5
!13
!6
!7
!7
!8
!1
!9
!2
!10
!11
!11
!12
!5
!13
!14
!14
!15
!8
!16
!2
!17
!18
!19
|-
|-
!notes
|Da
|C
|Sa
|C#/Dbb
|Ra
|Db
|La
|D
|
|D#/Ebb
|
|Eb
|Fru
|E
|Flu
|E#/Fb
|Nu
|F
|Thu
|F#
|Fu
|Gb
|
|G
|Ro
|G#/Abb
|Lo
|Ab
|Mo
|A
|To
|A#/Bbb
|Po
|Bb
|
|B
|B#/Cb
|C
|-
|-
!intervals
|
|P1
|
|A1/d2
|Na
|m2
|Tha
|M2
|Fa
|A2/d3
|Da
|m3
|
|M3
|
|A3/d4
|
|P4
|
|A4
|Shu
|d5
|Fru
|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
|So
|Si/Lo
|Ro
|Le
|La
|Li/Ta
|Te
|Ti
|To/Da
|Do
|}
|}
{| class="wikitable"
{| class="wikitable"
|+Kite's diatonic solfege (-a = plain = perfect/major/A4, -u = up = aug, -o = down = dim/minor)
|+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
![[19edo]]
![[15edo]]
!0
!0
!1
!1
Line 1,622: Line 1,609:
!14
!14
!15
!15
!16
|-
!17
!cents
!18
|0
!19
|80
|160
|240
|320
|400
|480
|560
|640
|720
|800
|880
|960
|1040
|1120
|1200
|-
|-
!notes
!notes
|C
|C
|C#/Dbb
|^Db
|Db
|vD
|D
|D/Eb
|D#/Ebb
|^Eb
|Eb
|vE
|E
|E/F
|E#/Fb
|^F
|F
|vG
|F#
|G/Ab
|Gb
|^Ab
|G
|vA
|G#/Abb
|A/Bb
|Ab
|^Bb
|A
|vB
|A#/Bbb
|Bb
|B
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^m2
|m2
|vM2
|M2
|M2/m3
|A2/d3
|^m3
|m3
|vM3
|M3
|M3/P4
|A3/d4
|^4
|P4
|v5
|A4
|P5/m6
|d5
|^m6
|P5
|vM6
|A5/d6
|M6/m7
|m6
|^m7
|M6
|vM7
|A6/d7
|m7
|M7
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Da
|Du
|Ru
|Ro
|Ro
|Ra
|Ra/Mi
|Ru
|Mu
|Mo
|Mo
|Ma
|Ma/Fa
|Mu
|Fu
|Fa/Po
|Fu/Pa
|So
|So
|Sa
|Sa/Li
|Su
|Lu
|Lo
|Lo
|La
|La/Ti
|Lu
|Tu
|To
|To
|Ta
|Tu/Do
|Da
|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'''
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
{| class="wikitable"
{| class="wikitable"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+someone's BC solfege from the 15edo page
![[19edo]]
![[15edo]]
!0
!0
!1
!1
Line 1,735: Line 1,702:
!14
!14
!15
!15
!16
|-
!17
!notes
!18
!19
|-
!notes
|C
|C
|C#/Dbb
|^C
|Db
|vD
|D
|D
|D#/Ebb
|^Eb
|Eb
|vE
|E
|E#/Fb
|F
|F
|F#/Gbb
|^F
|Fx/Gb
|vG
|G
|G
|G#/Abb
|^Ab
|Ab
|vA
|A
|A#/Bbb
|Bb
|Bb
|B
|^Bb
|B#/Cb
|vB
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|A1/d2
|^1
|m2
|vM2
|M2
|M2
|A2/d3
|^m3
|m3
|vM3
|M3
|A3/d4
|P4
|P4
|A4/dd5
|^4
|AA4/d5
|v5
|P5
|P5
|A5/d6
|^m6
|m6
|vM6
|M6
|A6/d7
|m7
|m7
|M7
|^m7
|A7/d8
|vM7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du/Fro
|Di
|Fra
|Ru
|Ra
|Re
|Ru/No
|Me
|Na
|Mi
|Ma
|Mu/Fo
|Fa
|Fa
|Pa/Sho
|Fu
|Pu/Sha
|Su
|Sa
|So
|Su/Flo
|Le
|Fla
|La
|La
|Lu/Tho
|Tha
|Ta
|Ta
|Tu/Do
|Tu
|Da
|Ti
|-
|Do
!extras
|}
|
 
|
== 16edo ==
|
|
|
|
|
|
|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"
{| 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
|+uniform solfege (-a = major/minor/perfect, -u = up/dim, -o = down/aug)
![[20edo]]
![[16edo]]
!0
!0
!1
!1
Line 1,851: Line 1,779:
!15
!15
!16
!16
!17
|-
!18
!cents
!19
|0
!20
|75
|150
|225
|300
|375
|450
|525
|600
|675
|750
|825
|900
|975
|1050
|1125
|1200
|-
|-
!notes
!notes
|C/Db
|C
|^Db
|Cb/D#
|vvD
|D
|vD
|Db
|D/Eb
|E
|^Eb
|Eb
|vvE
|Ebb/F#
|vE
|F
|E/F
|Fb/G#
|^F
|G
|^^F/vvG
|Gb/A#
|vG
|A
|G/Ab
|Ab
|^Ab
|B
|vvA
|Bb
|vA
|Bbb/C#
|A/Bb
|C
|^Bb
|vvB
|vB
|B/C
|-
|-
!intervals
!intervals
|P1/m2
|P1
|^m2
|d1/A2
|~2
|M2
|vM2
|m2
|M2/m3
|M3
|^m3
|m3
|~3
|d3/A4
|vM3
|P4
|M3/P4
|d4/A5
|^4
|P5
|~4/~5
|d5/A6
|v5
|M6
|P5/m6
|m6
|^m6
|M7
|~6
|m7
|vM6
|d7/A8
|M6/m7
|P8
|^m7
|~7
|vM7
|M7/P8
|-
|-
!solfege
!solfege
|Da/Ri
|Da
|Ru
|Du/Ro
|Re
|Ra
|Ro
|Fra
|Ra/Mi
|Ma
|Mu
|Na
|Me
|Nu/Pa
|Mo
|Fa
|Ma/Fa
|Fu/So
|Fu
|Sa
|Fe/Se
|Sha/Lo
|So
|La
|Sa/Li
|Fla
|Ta
|Tha
|Thu/Do
|Da
|-
!extras
|
|
|Fro
|Ru
|No
|Mu
|Fo
|
|
|
|Su
|Flo
|Lu
|Lu
|Le
|Tho
|Lo
|La/Ti
|Tu
|Tu
|Te
|
|To
|
|Ta/Da
|}
|}
{| class="wikitable"
'''circle of fifths'''
|+uniform solfege (-u = up, -a = plain, -o = down, -i = mid)
{| class="wikitable" style="text-align:center"
![[20edo]]
!
!0
!0
!1
!9
!2
!2
!3
!11
!4
!4
!5
!13
!6
!6
!7
!15
!8
!8
!9
!1
!10
!10
!11
!3
!12
!12
!13
!5
!14
!14
!15
!7
!16
!16
!17
!18
!19
!20
|-
|-
!cents
!-a
|0
|Da
|60
|Sa
|120
|Ra
|180
|La
|240
|Ma
|300
|Ta
|360
|Pa
|420
|
|480
|
|540
|
|600
|
|660
|
|720
|
|780
|
|840
|
|900
|
|960
|
|1020
|1080
|1140
|1200
|-
|-
!notes
!-u
|C
|
|^Db
|
|vvD
|
|vD
|
|D/Eb
|
|^Eb
|
|vvE
|Nu
|vE
|Thu
|F
|Fu
|^F/^Gb
|Du
|^^F/vvG
|
|vF#/vG
|
|G
|
|^Ab
|
|vvA
|
|vA
|
|A/Bb
|
|^Bb
|vvB
|vB
|C
|-
|-
!intervals
!-o
|P1
|
|^m2
|
|~2
|
|vM2
|
|M2/m3
|
|^m3
|
|~3
|
|vM3
|Do
|P4
|So
|^4/^d5
|Ro
|~4/~5
|Lo
|vA4/v5
|
|P5
|
|^m6
|
|~6
|
|vM6
|
|M6/m7
|
|^m7
|~7
|vM7
|P8
|-
|-
!solfege
!-a
|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
|
|
|
|
Line 2,051: Line 1,961:
|
|
|
|
|Ma
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Fla
|
|Na
|
|Tha
|
|Fa
|
|Da
|
|
|Do
|
|}
|}
up/plain/down/mid rings: 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
{| class="wikitable"
 
|+Kite's BC solfege (-i = sharp, -e = flat, -a = sharp Mi and Ti, flat Re), see also 12edo
== 21edo ==
![[16edo]]
{| class="wikitable"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
![[21edo]]
!0
!0
!1
!1
Line 2,088: Line 1,992:
!15
!15
!16
!16
!17
!18
!19
!20
!21
|-
|-
!notes
!notes
|C
|C
|^C
|Cb/D#
|vD
|D
|D
|^D
|Db/E#
|vE
|E
|E
|^E
|Eb
|vF
|F#
|F
|F
|^F
|Fb/G#
|vG
|G
|G
|^G
|Gb/A#
|vA
|A
|A
|^A
|Ab/B#
|vB
|B
|B
|^B
|Bb
|vC
|C#
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|^1
|d1/A2
|v2
|M2
|P2
|m2/A3
|^2
|M3
|v3
|m3
|P3
|A4
|^3
|v4
|P4
|P4
|^4
|d4/A5
|v5
|P5
|P5
|^5
|d5/A6
|v6
|M6
|P6
|m6/A7
|^6
|M7
|v7
|m7
|P7
|A8
|^7
|v8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Du
|De/Ri
|Ro
|Re
|Ra
|Ra/Ma
|Ru
|Mi
|Mo
|Me
|Ma
|Fi
|Mu
|Fo
|Fa
|Fa
|Fu
|Fe/Si
|So
|So
|Sa
|Se/Li
|Su
|Lo
|La
|La
|Lu
|Le/Ta
|To
|Ti
|Ta
|Te
|Tu
|Di
|Do
|Do
|Da
|}
|}
 
== 17edo ==
== 22edo ==
{| class="wikitable"
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down)
|+Andrew's solfege
![[17edo]]
![[22edo]]
!0
!0
!1
!1
Line 2,189: Line 2,072:
!16
!16
!17
!17
!18
!19
!20
!21
!22
|-
|-
!notes
!notes
|C
|C
|Db
|^C / Db
|^Db
|vD
|vD
|D
|D
|Eb
|^D / Eb
|^Eb
|vE
|vE
|E
|E
|F
|F
|^F/Gb
|^F / Gb
|vF#/^Gb
|F# / vG
|F#/vG
|G
|G
|Ab
|Ab
|^Ab
|vA
|vA
|A
|A
|Bb
|^A / Bb
|^Bb
|vB
|vB
|B
|B / vC
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|m2
|^1 / m2
|^m2
|~2
|vM2
|M2
|M2
|m3
|^M2 / m3
|^m3
|~3
|vM3
|M3
|M3
|P4
|P4
|^4/d5
|~4 / d5
|vA4/^d5
|A4 / ~5
|A4/v5
|P5
|P5
|m6
|m6
|^m6
|~6
|vM6
|M6
|M6
|m7
|^M6 / m7
|^m7
|~7
|vM7
|M7 / v8
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Di
|Du / Fra
|Ro
|Ra
|Ra
|Ru
|Na
|Re
|Mo
|Ma
|Ma
|Me
|Mi
|Mo
|Fa
|Fa
|Fu
|Fu / Sha
|Fi
|Pa / So
|Su
|Sa
|Sol
|Fla
|Lo
|Lo
|Le
|La
|La
|Li
|Tha
|Ta
|To
|Tu
|Ta / Do
|Ti
|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
|
![[22edo]]
|Fru
!0
|No
!1
|Ru
!2
|Nu
|Fo
|
|Po
|Shu
|
|Su
|Flu
|Tho
|Lu
|Thu
|
|
|}
{| class="wikitable" style="text-align:center"
|+circle of fifths
!
!0
!10
!3
!3
!4
!13
!6
!16
!9
!2
!12
!5
!5
!6
!15
!7
!8
!8
!9
!1
!10
!11
!11
!12
!4
!13
!14
!14
!15
!7
!16
!17
!17
!18
!19
!20
!21
!22
|-
|-
!notes
!-a
|C
|Da
|Db
|Sa
|^Db
|Ra
|vD
|La
|D
|Ma
|Eb
|Ta
|^Eb
|Pa
|vE
|
|E
|
|F
|
|^F
|
|vF#/^Gb
|
|vG
|
|G
|
|Ab
|
|^Ab
|
|vA
|
|A
|
|Bb
|^Bb
|vB
|B
|C
|-
|-
!intervals
!-o
|P1
|
|m2
|
|^m2
|
|vM2
|
|M2
|
|m3
|Do
|^m3
|So
|vM3
|M3
|P4
|^4
|vA4/^d5
|v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
!solfege
|Da
|Du/Ri
|Ru
|Ro
|Ro
|Ra
|Lo
|Mi
|Mu
|Mo
|Mo
|Ma
|Fa
|Fu
|Po/Shu
|Pa/So
|Sa
|Li
|Lu
|Lo
|La
|Ti
|Tu
|To
|To
|Ta
|(Po)
|Da
|
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|(Shu)
|(Fru)
|(Flu)
|(Nu)
|(Thu)
|Fu
|Du
|
|
|
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
!
! colspan="2" |perfect
! colspan="4" |major
! colspan="6" |mid
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
'''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"
{| class="wikitable" style="text-align:center"
|+Andrew's BC solfege (-u = mid)
|+uniform solfege (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
![[17edo]]
![[22edo]]
!0
!0
!1
!1
Line 2,394: Line 2,283:
!16
!16
!17
!17
!18
|-
!19
!20
!21
!22
|-
!notes
!notes
|C
|C
|Db
|^C / Db
|^Db
|C# / vD
|vD
|D
|D
|Eb
|^D / Eb
|^Eb
|D# / vE
|vE
|E
|E
|F
|F
|^F/Gb
|^F / Gb
|vF#/^Gb
|F# / vG
|F#/vG
|G
|G
|Ab
|^G / Ab
|^Ab
|G# / vA
|vA
|A
|A
|Bb
|^A / Bb
|^Bb
|A# / vB
|vB
|B
|B
|C
|C
|-
|-
!intervals
!intervals  
|P1
|P1
|m2
|^1 / m2
|^m2
|A1 / ~2
|vM2
|M2
|M2
|m3
|^M2 / m3
|^m3
|A2 / ~3
|vM3
|M3
|M3
|P4
|P4
|^4/d5
|~4 / d5
|vA4/^d5
|A4 / ~5
|A4/v5
|P5
|P5
|m6
|^5 / m6
|^m6
|A5 / ~6
|vM6
|M6
|M6
|m7
|^M6 / m7
|^m7
|A6 / ~7
|vM7
|M7
|M7
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Fra
|Da / Ra
|Fru
|Di / Ru
|Ro
|Re
|Ra
|Ro / Me
|Na
|Ri / Mu
|Nu
|Mi
|Mo
|Ma
|Fa
|Fa
|Fu/Sha
|Fu / Se
|Po/Shu
|Fi / Su
|Pa/So
|So
|Sa
|Sa / Le
|Fla
|Si / Lu
|Flu
|Lo
|La
|La
|Tha
|Lo / Te
|Thu
|Li / Tu
|To
|Ti
|Ta
|Do
|Da
|-
!extras
|Fro
|Du
|
|
|No
|Ru
|
|
|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'''


== 23edo ==
== 18b-edo ==
 
==24edo==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's diatonic solfege (-i -e -a -o -u = ^M M ~ m vm), see 31edo
|+uniform solfege (-a = plain, -u = up, -o = down)
![[24edo]]
![[18edo]]
!0
!0
!1
!1
Line 2,529: Line 2,368:
!17
!17
!18
!18
!19
!20
!21
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|^C
|^C
vD
|D
|^D
vDb
vDb
|Db
|Db
|vD
E
|D
|^E
|^D
vEb
vEb
|Eb
|Eb
|vE
|^Eb / ^F#
|E
|^E
vF
vF
|F
|F
|^F
|^F
vGb
|F#
Gb
|^F#
vG
vG
|G
|G
|^G
|^G
^Gb / vA
|A
|^A
vAb
vAb
|Ab
|Ab
|vA
B
|A
|^B
|^A
vBb
vBb
|Bb
|Bb
|vB
|^Bb
|B
|^B
vC
vC
|C
|C
Line 2,575: Line 2,404:
|P1
|P1
|^1
|^1
vm2
vM2
|M2
|~2
|m2
|m2
|~2
M3
|M2
|~3
|^M2
vm3
|m3
|m3
|~3
|^m3 / ^A4
|M3
|^M3
v4
v4
|P4
|P4
|^4
|^4
vd5
|A4
d5
|^A4
v5
v5
|P5
|P5
|^5
|^5
vm6
vd5 / vM6
|M6
|~6
|m6
|m6
|~6
M7
|M6
|~7
|^M6
vm7
|m7
|m7
|~7
|^m7
|M7
|^M7
v8
v8
|P8
|P8
|-
|-
!solfege
!solfege
|Do
|Da
|Da
Ru
|Du
|Ro
Ro
|Ra
|Ra
|Re
|Ru
|Ri
Fro
Mu
|Fra
|Mo
Ma
|Ma
|Mu
|Me
No
|Mi
|Na
Fu
|Nu / Pu
|Fo
 
Fo
|Fa
|Fa
Su
|Fu
|Fe
So
So
|Fi
|Sa
Sa
|Su
|Se
 
|Si
Sho / Lo
Lu
|Lo
|La
|La
|Le
|Lu
|Li
Flo
Tu
|Fla
|To
Ta
|Ta
|Tu
|Te
Tho
|Ti
|Tha
Du
|Thu
|Do
 
Do
|Da
|-
!extras
|
|
|
|
|
|
|Pa
|
|
|
|
|
|Sha
|
|
|
|
|
|
|}
|}
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
|+circles of fifths
![[24edo]]
! colspan="11" |plain circle
| rowspan="4" |
! colspan="11" |up/down circle
|-
!
!0
!0
!1
!10
!2
!2
!3
!12
!4
!4
!5
!14
!6
!6
!7
!16
!8
!8
!18
!
!9
!9
!10
!1
!11
!11
!12
!3
!13
!13
!14
!5
!15
!15
!16
!7
!17
!17
!18
!9
!19
!20
!21
!22
!23
!24
|-
|-
!notes
!-a
|C
|Da
|^C
|Sa
vDb
|Ra
|Db
|La
|^Db
|Ma
vD
|Ta
|D
|
|^D
|
vEb
|
|Eb
|
|^Eb
!-u
vE
|Fu
|E
|Du
|^E
|Su
vF
|Ru
|F
|Lu
|^F
|Mu
vF#
|Tu
vGb
|Pu/Nu
|F#
|Thu
Gb
|Fu
|^F#
^Gb
vG
|G
|^G
vAb
|Ab
|^Ab
vA
|A
|^A
vBb
|Bb
|^Bb
vB
|B
|^B
vC
|C
|-
|-
!intervals
!-a
|P1
|
|^1
|
vm2
|
|m2
|
|~2
|Fra
|M2
|Fla
|^M2
|Na
vm3
|Tha
|m3
|Fa
|~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
|Da
!-o
|So
|Ro
|Lo/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|}
|}
plain/up/down rings:
==19edo==
 
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"
{| class="wikitable"
|+mid ring
|+traditional solfege
|Du
![[19edo]]
|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"
|+uniform solfege #2 (-a = plain, -i = mid/down)
![[24edo]]
!0
!0
!1
!1
Line 2,858: Line 2,584:
!18
!18
!19
!19
!20
!21
!22
!23
!24
|-
|-
!notes
!notes
|C
|C
|vDb
|C#/Dbb
|Db
|Db
|vD
|D
|D
|vEb
|D#/Ebb
|Eb
|Eb
|vE
|E
|E
|vF
|E#/Fb
|F
|F
|vF#/vGb
|F#
|F#/Gb
|Gb
|vG
|G
|G
|vAb
|G#/Abb
|Ab
|Ab
|vA
|A
|A
|vBb
|A#/Bbb
|Bb
|Bb
|vB
|B
|B
|vC
|B#/Cb
|C
|C
|-
|-
!intervals
!intervals
|P1
|P1
|vm2
|A1/d2
|m2
|m2
|~2
|M2
|M2
|vm3
|A2/d3
|m3
|m3
|~3
|M3
|M3
|v4
|A3/d4
|P4
|P4
|vA4/vd5
|A4
|A4/d5
|d5
|v5
|P5
|P5
|vm6
|A5/d6
|m6
|m6
|~6
|M6
|M6
|vm7
|A6/d7
|m7
|m7
|~7
|M7
|M7
|v8
|A7/d8
|P8
|P8
|-
|-
!solfege
!solfege
|Da
|Do
|Fri
|Di/Ro
|Fra
|Ri
|Ra
|Ra
|Ni
|Re
|Na
|Ri/Ma
|Me
|Mi
|Mi
|Ma
|Mo/Fe
|Fa
|Fi
|Fi
|Fa
|Se
|Pi/Shi
|So
|Pa/Sha
|Si/Lo
|Si
|Le
|Sa
|Fli
|Fla
|Li
|La
|La
|Thi
|Li/Ta
|Tha
|Te
|Ti
|Ti
|Ta
|To/Da
|Di
|Do
|Da
|}
|}
plain/mid rings:
{| class="wikitable"
 
|+uniform solfege (-a = plain, -u = up, -o = down)
Da Sa Ra La Ma Ta Pa/Sha Fra Fla Na Tha Fa Da
![[19edo]]
 
!0
Di Si Ri Li Mi Ti Pi/Shi Fri Fli Ni Thi Fi Di
!1
 
!2
''Simpler, but you can't name the in-between notes (50¢, 250¢, 450¢) as up notes, which is nice.''
!3
 
!4
== 25edo ==
!5
{| class="wikitable" style="text-align:center"
!6
|+Uniform solfege (-u = up, -o = down, -a = plain, -i = mid)
!7
![[25edo]]
!8
!edosteps
!9
! colspan="2" |solfege names
!10
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!11
|-
!12
!unisons
!13
|0-1
!14
| colspan="2" |Da Du/Fru
!15
| colspan="2" |P1 ^1/^m2
!16
| colspan="2" |C ^C/^Db
!17
!18
!19
|-
|-
!2nds
!notes
|1-5
|C
|Du/Fru Fri
|C#/Dbb
|Ri Ro Ra/Na
|Db
|^1/^m2 v~2
|D
|^~2 vM2 M2/m3
|D#/Ebb
|^C/^Db ^^Db
|Eb
|vvD vD D/Eb
|E
|E#/Fb
|F
|F#/Gbb
|Fx/Gb
|G
|G#/Abb
|Ab
|A
|A#/Bbb
|Bb
|B
|B#/Cb
|C
|-
|-
!3rds
!intervals
|5-9
|P1
|Ra/Na Nu Ni
|A1/d2
|Mi Mo
|m2
|M2/m3 ^m3 v~3
|M2
|^~3 vM3
|A2/d3
|D/Eb ^Eb ^^Eb
|m3
|vvE vE
|M3
|A3/d4
|P4
|A4/dd5
|AA4/d5
|P5
|A5/d6
|m6
|M6
|A6/d7
|m7
|M7
|A7/d8
|P8
|-
|-
!4ths
!solfege
|10
|Da
| colspan="2" |Fa
|Du/Fro
| colspan="2" |P4
|Fra
| colspan="2" |F
|Ra
|-
|Ru/No
!tritones
|Na
|11-14
|Ma
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
|Mu/Fo
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
|Fa
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|Pa/Sho
|Pu/Sha
|Sa
|Su/Flo
|Fla
|La
|Lu/Tho
|Tha
|Ta
|Tu/Do
|Da
|-
|-
!5ths
!extras
|15
|
| colspan="2" |Sa
|
| colspan="2" |P5
|
| colspan="2" |G
|
|-
|
!6ths
|
|16-20
|
|Flu Fli
|
|Li Lo La/Tha
|Po
|^m6 v~6
|Fu
|^~6 vM6 M6/m7
|So
|^Ab ^^Ab
|Shu
|vvA vA A/Bb
|
|-
|
!7ths
|
|20-24
|
|La/Tha Thu Thi
|
|Ti To/Do
|
|m7
|
|^~7 vM7/v8
|
|A/Bb ^Bb ^^Bb
|vvB vB/vC
|-
!8ves
|24-25 (26)
| colspan="2" |To/Do Da (Du)
| colspan="2" |vM7/v8 P8 (^8)
| colspan="2" |vB/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 ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug)
|+circle of fifths
![[26edo]]
!
!edosteps
!0
!Kite's
!11
!Phylingual's
!3
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!14
|-
!6
!unisons
!17
|0-1
!9
|Da Du
!1
|Do Di
!12
|P1 A1
!4
|C C#
!15
!7
!18
!10
!2
!13
!5
!16
!8
!19
|-
|-
!2nds
!-a
|2-5
|Da
|Ro Ri Ra Ru
|Sa
|Rih Ru Re Ri
|Ra
|d2 m2 M2 A2
|La
|Dbb Db D D#
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!3rds
!-o
|6-9
|
|Mo Mi Ma Mu
|
|Ma Me Muh/Mi Maa
|
|d3 m3 M3 A3
|
|Ebb Eb E E#
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|
|
|
|
|
|
|
|-
|-
!4ths
!-u
|10-12
|
|Fo Fa Fu/Pa
|
|Fe Fa Fu
|
|d4 P4 A4
|
|Fb F F#
|
|-
|
!tritone
|
|13
|Du
|Pu/Sho
|Su
|Fi/Se
|Ru
|AA4/dd5
|Lu
|Fx/Gbb
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
!5ths
!-a
|14-16
|
|Sha/So Sa Su
|
|Su So Si
|
|d5 P5 A5
|
|Gb G G#
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!6ths
!
|17-20
! colspan="2" |perfect
|Lo Li La Lu
! colspan="4" |major
|Leh Le/Lu La Li
! colspan="8" |in-between
|d6 m6 M6 A6
! colspan="4" |minor
|Abb Ab A A#
! colspan="2" |perfect
|}
{| class="wikitable"
|+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
|-
|-
!7ths
!notes
|21-24
|C
|To Ti Ta Tu
|C#/Dbb
|Ta Te Tu/Ti To
|Db
|d7 m7 M7 A7
|D
|Bbb Bb B B#
|D#/Ebb
|-
|Eb
!8ves
|E
|25-26 (27)
|E#/Fb
|Do Da (Du)
|F
|Da Do (Di)
|F#
|d8 P8 (A8)
|Gb
|Cb C (C#)
|G
|}
|G#/Abb
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''' <u>So Ri</u> Li Mi <u>Ti Fa</u> '''Da'''
|Ab
 
|A
 
|A#/Bbb
TO DO: split the interval and note-name columns in this table:
|Bb
{| class="wikitable" style="text-align:center"
|B
|+uniform solfege (-u = aug, -o = dim, -a = unchanged)
|B#/Cb
![[26edo]]
|C
!edosteps
! colspan="2" |solfege
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!intervals
|0-1
|P1
| colspan="2" |Da Du
|A1/d2
|P1 A1
|m2
|C C#
|M2
|A2/d3
|m3
|M3
|A3/d4
|P4
|A4
|d5
|P5
|A5/d6
|m6
|M6
|A6/d7
|m7
|M7
|A7/d8
|P8
|-
|-
!2nds
!solfege
|2-5
|Da
|Fro Fra
|Du
|Ra Ru
|Ro
|d2 m2 M2 A2
|Ra
|Dbb Db D D#
|Ru
|Mo
|Ma
|Mu
|Fa/Po
|Fu/Pa
|So
|Sa
|Su
|Lo
|La
|Lu
|To
|Ta
|Tu/Do
|Da
|-
|-
!3rds
!extras
|6-9
|
|No Na
|
|Ma Mu
|
|d3 m3 M3 A3
|
|Ebb Eb E E#
|
|-
|
!4ths
|
|10-12
|Fo
| colspan="2" |Fo Fa Fu/Pa
|
|d4 P4 A4
|Sho
|Fb F F#
|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 ==
{| class="wikitable"
|+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
|-
|-
!tritone
!cents
|13
|0
| colspan="2" |Pu/Sho
|60
|AA4/dd5
|120
|Fx/Gbb
|180
|-
|240
!5ths
|300
|14-16
|360
| colspan="2" |Sha/So Sa Su
|420
|d5 P5 A5
|480
|Gb G G#
|540
|600
|660
|720
|780
|840
|900
|960
|1020
|1080
|1140
|1200
|-
|-
!6ths
!notes
|17-20
|C
|Flo Fla
|^Db
|La Lu
|vvD
|d6 m6 M6 A6
|vD
|Abb Ab A A#
|D/Eb
|-
|^Eb
!7ths
|vvE
|21-24
|vE
|Tho Tha
|F
|Ta Tu
|^F/^Gb
|d7 m7 M7 A7
|^^F/vvG
|Bbb Bb B B#
|vF#/vG
|G
|^Ab
|vvA
|vA
|A/Bb
|^Bb
|vvB
|vB
|C
|-
|-
!8ves
!intervals
|25-26 (27)
|P1
| colspan="2" |Do Da (Du)
|^m2
|d8 P8 (A8)
|~2
|Cb C (C#)
|vM2
|}
|M2/m3
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'''
|^m3
 
|~3
== 27edo ==
|vM3
{| class="wikitable" style="text-align:center"
|P4
|+uniform solfege (-u = up, -o = down, -a = plain, -i = mid)
|^4/^d5
![[27edo]]
|~4/~5
!edosteps
|vA4/v5
! colspan="2" |solfege names
|P5
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|^m6
|-
|~6
!unisons
|vM6
|0-1
|M6/m7
| colspan="2" |Da Du/Fra
|^m7
| colspan="2" |P1 ^1/m2
|~7
| colspan="2" |C ^C/Db
|vM7
|P8
|-
|-
!2nds
!solfege
|1-5
|Da
|Du/Fra Fru
|Fru
|Ri Ro Ra
|Ri
|^1/m2 ^m2
|Ro
|~2 vM2 M2
|Ra/Na
|^C/Db ^Db
|Nu
|vvD vD D
|Mi
|Mo
|Fa
|Fu/Shu
|Fi/Si
|Po/So
|Sa
|Flu
|Li
|Lo
|La/Tha
|Thu
|Ti
|To
|Da
|-
|-
!3rds
!extras
|6-10
|
|Na Nu
|Du
|Mi Mo Ma
|
|m3 ^m3
|
|~3 vM3 M3
|
|Eb ^Eb
|
|vvE vE E
|
|
|Ma
|
|
|
|Fla
|
|
|
|
|
|
|Do
|
|}
'''circles of fifths'''
{| class="wikitable" style="text-align:center"
! colspan="6" |plain circle
| rowspan="4" |
! colspan="6" |up circle
| rowspan="4" |
! colspan="6" |mid circle
| rowspan="4" |
! colspan="6" |down circle
|-
|-
!4ths
!0
|11-12
!12
| colspan="2" |Fa
!4
| colspan="2" |P4 ^4
!16
| colspan="2" |F ^F
!8
|-
!20
!tritones
!1
|13-14
!13
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
!5
| colspan="2" |~4/^d5 vA4/~5
!17
| colspan="2" |vvF#/^Gb vF#/^^Gb
!9
!1
!2
!14
!6
!18
!10
!2
!2
!11
!5
!14
!8
!2
|-
|-
!5ths
|Da
|15-16
|Sa
| colspan="2" |Sa
|Ra
| colspan="2" |v5 P5
|La
| colspan="2" |vG G
|
|
|Fru
|Flu
|Nu
|Thu
|Fu
|
|Ri
|Li
|Mi
|Ti
|Pi
|
|Ro
|Lo
|Mo
|To
|Po
|
|-
|-
!6ths
|
|17-21
|
|Fla Flu
|Na
|Li Lo La
|Tha
|m6 ^m6
|Fa
|~6 vM6 M6
|Da
|Ab ^Ab
|
|vvA vA A
|
|-
|
!7ths
|
|22-26
|Shu
|Tha Thu
|Fru
|Ti To Ta/Do
|
|m7 ^m7
|
|~7 vM7 M7/v8
|
|Bb ^Bb
|
|vvB vB B/vC
|Si
|-
|Ri
!8ves
|
|26-27 (28)
|
| colspan="2" |Ta/Do Da (Du)
|
| colspan="2" |M7/v8 P8 (^8)
|
| colspan="2" |B/vC C (^C)
|So
|Ro
|}
|}
'''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'''
{| 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
Du and Do aren't necessary, but only 1 D- note seems too few since all the other degrees have 5 notes.
![[20edo]]
 
!0
== 28edo ==
!1
{| class="wikitable" style="text-align:center"
!2
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
!3
![[28edo]]
!4
!edosteps
!5
!solfege names
!6
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
|-
|-
!unisons
!notes
|0-2
|C/Db
|Da Du Di/Re
|^Db
|P1 ^1 ^^1/vv2
|vvD
|C ^C ^^C/vvD
|vD
|-
|D/Eb
!2nds
|^Eb
|2-6
|vvE
|Di/Re Ro Ra Ru Ri/Me
|vE
|^^1/vv2 v2 P2 ^2 ^^2/vv3
|E/F
|^^C/vvD vD D ^D ^^D/vvE
|^F
|^^F/vvG
|vG
|G/Ab
|^Ab
|vvA
|vA
|A/Bb
|^Bb
|vvB
|vB
|B/C
|-
|-
!3rds
!intervals
|6-10
|P1/m2
|Ri/Me Mo Ma Mu Mi/Fe
|^m2
|^^2/vv3 v3 P3 ^3 ^^3/vv4
|~2
|^^D/vvE vE E ^E ^^E/vvF
|vM2
|M2/m3
|^m3
|~3
|vM3
|M3/P4
|^4
|~4/~5
|v5
|P5/m6
|^m6
|~6
|vM6
|M6/m7
|^m7
|~7
|vM7
|M7/P8
|-
|-
!4ths
!solfege
|10-14
|Da/Ri
|Mi/Fe Fo Fa Fu Fi/Se
|Ru
|^^3/vv4 v4 P4 ^4 ^^4/vv5
|Re
|^^E/vvF vF F ^F ^^F/vvG
|Ro
|-
|Ra/Mi
!5ths
|Mu
|14-18
|Me
|Fi/Se So Sa Su Si/Le
|Mo
|^^4/vv5 v5 P5 ^5 ^^5/vv6
|Ma/Fa
|^^F/vvG vG G ^G ^^G/vvA
|Fu
|-
|Fe/Se
!6ths
|So
|18-22
|Sa/Li
|Si/Le Lo La Lu Li/Te
|Lu
|^^5/vv6 v6 P6 ^6 ^^6/vv7
|Le
|^^G/vvA vA A ^A ^^A/vvB
|Lo
|-
|La/Ti
!7ths
|Tu
|22-26
|Te
|Li/Te To Ta Tu Ti/De
|To
|^^6/vv7 v7 P7 ^7 ^^7/vv8
|Ta/Da
|^^A/vvB vB B ^B ^^B/vvC
|}
|-
== 21edo ==
!8ves
{| class="wikitable"
|26-28 (29 30)
|+uniform solfege (-a = plain, -u = up, -o = down), see also 14edo
|Ti/De Do Da (Du Di)
![[21edo]]
|^^7/vv8 v8 P8 (^8 ^^8)
!0
|^^B/vvC vC C (^C ^^C)
!1
|}
!2
plain/up/down/inbetween circles:
!3
 
!4
Da Sa Ra La Ma Ta Fa Da
!5
 
!6
Du Su Ru Lu Mu Tu Fu Du
!7
 
!8
Do So Ro Lo Mo To Fo Do
!9
 
!10
Di/Re Si/Le Ri/Me Li/Te Mi/Fe Ti/De Fi/Se Di/Re
!11
==29edo==
!12
{| class="wikitable" style="text-align:center"
!13
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
!14
![[29edo]]
!15
!edosteps
!16
! colspan="2" |solfege names
!17
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!18
!19
!20
!21
|-
|-
!unisons
!notes
|0-1
|C
| colspan="2" |Da Du/Fro
|^C
| colspan="2" |P1 ^1/vm2
|vD
| colspan="2" |C ^C/vDb
|D
|^D
|vE
|E
|^E
|vF
|F
|^F
|vG
|G
|^G
|vA
|A
|^A
|vB
|B
|^B
|vC
|C
|-
|-
!2nds
!intervals
|1-6
|P1
|Du/Fro Fra Fru
|^1
|Ro Ra Ru/No
|v2
|^1/vm2 m2 ^m2
|P2
|vM2 M2 ^M2/vm3
|^2
|^C/vDb Db ^Db
|v3
|vD D ^D/vEb
|P3
|-
|^3
!3rds
|v4
|6-11
|P4
|Ru/No Na Nu
|^4
|Mo Ma Mu/Fo
|v5
|^M2/vm3 m3 ^m3
|P5
|vM3 M3 ^M3/v4
|^5
|^D/vEb Eb ^Eb
|v6
|vE E ^E/vF
|P6
|^6
|v7
|P7
|^7
|v8
|P8
|-
|-
!4ths
!solfege
|11-13
|Da
| colspan="2" |Mu/Fo Fa Fu
|Du
| colspan="2" |^M3/v4 P4 ^4
|Ro
| colspan="2" |^E/vF F ^F
|Ra
|-
|Ru
!tritones
|Mo
|14-15
|Ma
| colspan="2" |Po/Sha Pa/Shu
|Mu
| colspan="2" |vA4/d5 A4/^d5
|Fo
| colspan="2" |vF#/Gb F#/^Gb
|Fa
|-
|Fu
!5ths
|So
|16-18
|Sa
| colspan="2" |So Sa Su/Flo
|Su
| colspan="2" |v5 P5 ^5/vm6
|Lo
| colspan="2" |vG G ^G/vAb
|La
|-
|Lu
!6ths
|To
|18-23
|Ta
|Su/Flo Fla Flu
|Tu
|Lo La Lu/Tho
|Do
|^5/vm6 m6 ^m6
|Da
|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)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |^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'''
'''circles of fifths'''
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Phylingual's solfege
! colspan="8" |plain circle
![[29edo]]
| rowspan="3" |
!edosteps
! colspan="8" |up circle
!solfege names
| rowspan="3" |
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="8" |down circle
|-
|-
!unisons
!0
|0-1
!12
|Do Di
!3
|P1 ^1
!15
|C ^C
!6
!18
!9
!21
!1
!13
!4
!16
!7
!19
!10
!1
!2
!14
!5
!17
!8
!20
!11
!2
|-
|-
!2nds
|Da
|2-6
|Sa
|Rih Ra Ru Re Raw
|Ra
|m2 ^m2 vM2 M2 ^M2
|La
|Db ^Db vD D ^D
|Ma
|-
|Ta
!3rds
|Fa
|7-11
|Da
|Meh Me Mi Maa Maw
|Du
|m3 ^m3 vM3 M3 ^M3
|Su
|Eb ^Eb vE E ^E
|Ru
|Lu
|Mu
|Tu
|Fu
|Du
|Do
|So
|Ro
|Lo
|Mo
|To
|Fo
|Do
|}
 
== 22edo ==
{| class="wikitable" style="text-align:center"
|+uniform solfege  (-u = <u>u</u>p, -o = d<u>o</u>wn, -a = pl<u>a</u>in)
![[22edo]]
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
|-
!4ths
!notes
|12-14
|C
|Fa Fu Fi
|Db
|P4 ^4 ^^4
|^Db
|F ^F ^^F
|vD
|D
|Eb
|^Eb
|vE
|E
|F
|^F/Gb
|vF#/^Gb
|F#/vG
|G
|Ab
|^Ab
|vA
|A
|Bb
|^Bb
|vB
|B
|C
|-
|-
!5ths
!intervals
|15-18
|P1
|Se Su So Saw
|m2
|vv5 v5 P5 ^5
|^m2
|vvG vG G ^G
|vM2
|-
|M2
!6ths
|m3
|19-23
|^m3
|Leh Le La Laa Law
|vM3
|m6 ^m6 vM6 M6 ^M6
|M3
|Ab ^Ab vA A ^A
|P4
|^4/d5
|vA4/^d5
|A4/v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7
|P8
|-
|-
!7ths
!solfege
|24-27
|Da
|Teh Te Ti Taa
|Du
|m7 ^m7 vM7 M7
Fra
|Bb ^Bb vB B
|Fru
|-
|Ro
!8ves
|Ra
|28-29 (30)
|Na
|Da Do (Di)
|Nu
|v8 P8 (^8)
|Mo
|vC C (^C)
|Ma
|}
|Fa
==31edo==
|Fu
{| class="wikitable" style="text-align:center"
Sha
|+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
|Po
![[31edo]]
Shu
!solfege names
|Pa
! colspan="2" |[[Ups and downs notation|ups and downs]] names
So
!edosteps
|Sa
|Fla
|Flu
|Lo
|La
|Tha
|Thu
|To
|Ta
Do
|Da
|-
|-
!unisons
!extras
|Do Da
|Fro
|P1 ^1
|
|C ^C
|
|0-1
|
|-
|No
!2nds
|Ru
|Ru Ro Ra Re Ri
|
|vm2 m2 ~2 M2 ^M2
|
|vDb Db vD D ^D
|Fo
|2-6
|Mu
|-
Sho
!3rds
|
|Mu Mo Ma Me Mi
|
|vm3 m3 ~3 M3 ^M3
|
|vEb Eb vE E ^E
|Pu
|7-11
Flo
|Su
|
|
|Tho
|Lu
|
|
|
|Tu
|}
{| class="wikitable" style="text-align:center"
|+'''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
|-
|-
!4ths
!-a
|Fu Fo Fa
|Da
|v4 P4 ^4
|Sa
|vF F ^F
|Ra
|12-14
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!tritones
!-o
|Fe/Su Fi/So
|
|A4/vd5 ^A4/d5
|
|F#/vGb ^F#/Gb
|
|15-16
|
|-
|
!5ths
|Do
|Sa Se Si
|So
|v5 P5 ^5
|Ro
|vG G ^G
|Lo
|17-19
|Mo
|To
|Po
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!6ths
!-u
|Lu Lo La Le Li
|
|vm6 m6 ~6 M6 ^M6
|
|vAb Ab vA A ^A
|
|20-24
|
|
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|
|
|
|
|
|-
|-
!7ths
!-a
|Tu To Ta Te Ti
|
|vm7 m7 ~7 M7 ^M7
|
|vBb Bb vB B ^B
|
|25-29
|
|
|
|
|
|
|
|
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!8ves
!
|Du Do (Da)
! colspan="2" |perfect
|v8 P8 (^8)
! colspan="4" |major
|vC C (^C)
|
|30-31 (32)
! colspan="4" |downmajor
|
! colspan="4" |upminor
|
! colspan="4" |minor
! colspan="2" |perfect
|}
|}
As a circle of 5ths:
{| 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
<u>'''Do''' Se</u> Re Le Me Te Fe/Su Ru Lu Mu Tu Fu <u>'''Du''' Sa</u> Ra La Ma Ta Fa <u>'''Da''' Si</u> Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do'''
![[22edo]]
{| class="wikitable" style="text-align:center"
!0
|+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
!1
![[31edo]]
!2
!solfege names
!3
! colspan="2" |[[Ups and downs notation|ups and downs]] names
!4
!edosteps
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
|-
|-
!unisons
!notes
|Da Du
|C
|P1 ^1
|^C/Db
|C ^C
|^Db
|0-1
|vD
|-
|D
!2nds
|Eb
|Ro Ri Re Ra Ru
|^Eb
|vm2 m2 ~2 M2 ^M2
|vE
|vDb Db vD D ^D
|E
|2-6
|F
|-
|^F
!3rds
|vF#/^Gb
|Mo Mi Me Ma Mu
|vG
|vm3 m3 ~3 M3 ^M3
|G
|vEb Eb vE E ^E
|Ab
|7-11
|^Ab
|vA
|A
|Bb
|^Bb
|vB
|B/vC
|C
|-
|-
!4ths
!intervals
|Fo Fi Fe
|P1
|v4 P4 ^4
|^1/m2
|vF F ^F
|^m2
|12-14
|vM2
|M2
|m3
|^m3
|vM3
|M3
|P4
|^4
|vA4/^d5
|v5
|P5
|m6
|^m6
|vM6
|M6
|m7
|^m7
|vM7
|M7/v8
|P8
|-
|-
!tritones
!solfege
|Fa/So Fu/Si
|Da
|A4/vd5 ^A4/d5
|Du/Ri
|F#/vGb ^F#/Gb
|Ru
|15-16
|Ro
|-
|Ra
!5ths
|Mi
|Se Sa Su
|Mu
|v5 P5 ^5
|Mo
|vG G ^G
|Ma
|17-19
|Fa
|-
|Fu
!6ths
|Po/Shu
|Lo Li Le La Lu
|So
|vm6 m6 ~6 M6 ^M6
|Sa
|vAb Ab vA A ^A
|Li
|20-24
|Lu
|-
|Lo
!7ths
|La
|To Ti Te Ta Tu
|Ti
|vm7 m7 ~7 M7 ^M7
|Tu
|vBb Bb vB B ^B
|To
|25-29
|Ta/Do
|-
|Da
!8ves
|}
|De Da (Du)
{| class="wikitable"
|v8 P8 (^8)
|+circle of 5ths (1 non-rhyming 5th, Ti-Fa)
|vC C (^C)
!
|30-31 (32)
!0
|}
!13
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>
!4
{| class="wikitable" style="text-align:center"
!17
|+uniform solfege (-u = up, -o = down, -a = plain), see 41edo
!8
![[31edo]]
!21
!edosteps
!12
! colspan="2" |solfege names
!3
! colspan="4" |[[Ups and downs notation|ups and downs]] names
!16
!7
!20
!11
!2
!15
!6
!19
!10
!1
!14
!5
!18
!9
!22
|-
|-
!unisons
!-a
|0-1
|Da
| colspan="2" |Da Du
|Sa
| colspan="2" |P1 ^1
|Ra
| colspan="2" |C ^C
|La
|-
|Ma
!2nds
|Ta
|2-6
|
|Fro Fra
|
|Ro Ra Ru
|
|vm2 m2
|
|~2 M2 ^M2
|
|vDb Db
|
|vD D ^D
|
|
|
|
|
|
|
|
|
|
|
|-
|-
!3rds
!-o
|7-11
|
|No Na
|
|Mo Ma Mu
|
|vm3 m3
|
|~3 M3 ^M3
|
|vEb Eb
|Do
|vE E ^E
|So
|-
|Ro
!4ths
|Lo
|12-14
|Mo
| colspan="2" |Fo Fa Fu/Po
|To
| colspan="2" |v4 P4 ^4
|Po
| colspan="2" |vF F ^F/vF#
|
|-
|
!tritones
|
|15-16
|
| colspan="2" |Pa/Sho Pu/Sha
|
| colspan="2" |A4/vd5 ^A4/d5
|
| colspan="2" |F#/vGb ^F#/Gb
|
|-
|
!5ths
|
|17-19
|
| colspan="2" |So Sa Su
|
| colspan="2" |v5 P5 ^5
|-
| colspan="2" |vG G ^G
!-u
|-
|
!6ths
|
|20-24
|
|Flo Fla
|
|Lo La Lu
|
|vm6 m6
|
|~6 M6 ^M6
|
|vAb Ab
|
|vA A ^A
|
|-
|
!7ths
|
|25-29
|Shu
|Tho Tha
|Ru
|To Ta Tu
|Lu
|vm7 m7
|Mu
|~7 M7 ^M7
|Tu
|vBb Bb
|Fu
|vB B ^B
|Du
|-
|
!8ves
|
|30-31 (32)
|
| colspan="2" |Do Da (Du)
|
| colspan="2" |v8 P8 (^8)
|
| colspan="2" |vC C (^C)
|-
|}
!-i
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'''
|
{| class="wikitable" style="text-align:center"
|
|+Andrew's solfege
|
![[31edo]]
|
!edosteps
|
!solfege names
|
|
|
|
|
|
|
|
|
|
|
|
|Ri
|Li
|Mi
|Ti
|
|
|-
!-a
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|Fa
|Da
|}
{| class="wikitable" style="text-align:center"
|+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 ==
{| class="wikitable" style="text-align:center"
|+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
|
|
|
|}
{| class="wikitable" style="text-align:center"
|+'''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==
{| class="wikitable" style="text-align:center"
|+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
|}
{| class="wikitable" style="text-align:center"
|+'''circles of fifths'''
! rowspan="3" |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
|-
| colspan="15" |
|-
!
!
!1
!15
!5
!19
!9
!23
!13
!3
!17
!7
!21
!11
!1
|-
! rowspan="2" |up
!-u
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
!-u
|
|
|
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
! rowspan="2" |down
!-o
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|
|-
!-o
|
|
|
|
|
|
|
|
|
|
|
|Sho
|Fro
|}
{| class="wikitable" style="text-align:center"
|+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.''
{| 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
!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 ==
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[25edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du/Fru
| colspan="2" |P1 ^1/^m2
| colspan="2" |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
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |F
|-
!tritones
|11-14
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
!5ths
|15
| colspan="2" |Sa
| colspan="2" |P5
| colspan="2" |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)
| colspan="2" |To/Do Da (Du)
| colspan="2" |vM7/v8 P8 (^8)
| colspan="2" |vB/vC C (^C)
|}
{| class="wikitable" style="text-align:center"
|+Uniform solfege (-a = plain, -u = up, -o = down, -i = mid)  (duplicate names are '''bolded)'''
![[25edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-'''1'''
| colspan="2" |Da '''Du'''
| colspan="2" |P1 '''^1'''
| colspan="2" |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
| colspan="2" |Fa
| colspan="2" |P4
| colspan="2" |F
|-
!tritones
|11-14
| colspan="2" |Fu/Shu Fi/Shi Pi/Si Po/So
| colspan="2" |^4/^d5 v~4/v~5 ^~4/^~5 vA4/v5
| colspan="2" |^F/^Gb ^^F/^^Gb vvF#/vvG vF#/vG
|-
!5ths
|15
| colspan="2" |Sa
| colspan="2" |P5
| colspan="2" |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)
| colspan="2" |'''Do''' Da (Du)
| colspan="2" |'''v8''' P8 (^8)
| colspan="2" |'''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 ==
{| 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#
|-
!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''' <u>So Ri</u> Li Mi <u>Ti Fa</u> '''Da'''
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim)
![[26edo]]
!edosteps
! colspan="2" |solfege
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du
| colspan="2" |P1 A1
| colspan="2" |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
| colspan="2" |Fo Fa Fu/Pa
| colspan="2" |d4 P4 A4
| colspan="2" |Fb F F#
|-
!tritone
|13
| colspan="2" |Pu/Sho
| colspan="2" |AA4/dd5
| colspan="2" |Fx/Gbb
|-
!5ths
|14-16
| colspan="2" |Sha/So Sa Su
| colspan="2" |d5 P5 A5
| colspan="2" |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)
| colspan="2" |Do Da (Du)
| colspan="2" |d8 P8 (A8)
| colspan="2" |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 ==
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = mid)
![[27edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du/Fra
| colspan="2" |P1 ^1/m2
| colspan="2" |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
| colspan="2" |Fa
| colspan="2" |P4 ^4
| colspan="2" |F ^F
|-
!tritones
|13-14
| colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So
| colspan="2" |~4/^d5 vA4/~5
| colspan="2" |vvF#/^Gb vF#/^^Gb
|-
!5ths
|15-16
| colspan="2" |Sa
| colspan="2" |v5 P5
| colspan="2" |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)
| colspan="2" |Ta/Do Da (Du)
| colspan="2" |M7/v8 P8 (^8)
| colspan="2" |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 ==
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
![[28edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|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)
|}
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
![[28edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|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==
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo
![[29edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du/Fro
| colspan="2" |P1 ^1/vm2
| colspan="2" |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
| colspan="2" |Mu/Fo Fa Fu
| colspan="2" |^M3/v4 P4 ^4
| colspan="2" |^E/vF F ^F
|-
!tritones
|14-15
| colspan="2" |Po/Sha Pa/Shu
| colspan="2" |vA4/d5 A4/^d5
| colspan="2" |vF#/Gb F#/^Gb
|-
!5ths
|16-18
| colspan="2" |So Sa Su/Flo
| colspan="2" |v5 P5 ^5/vm6
| colspan="2" |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)
| colspan="2" |Tu/Do Da (Du)
| colspan="2" |^M7/v8 P8 (^8)
| colspan="2" |^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'''
{| class="wikitable" style="text-align:center"
|+Phylingual's solfege
![[29edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|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==
{| class="wikitable" style="text-align:center"
|+uniform solfege (-a = plain, -u = up, -o = down)
![[31edo]]
!edosteps
! colspan="2" |solfege names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
!unisons
|0-1
| colspan="2" |Da Du
| colspan="2" |P1 ^1
| colspan="2" |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
| colspan="2" |Fo Fa Fu/Po
| colspan="2" |v4 P4 ^4
| colspan="2" |vF F ^F/vF#
|-
!tritones
|15-16
| colspan="2" |Pa/Sho Pu/Sha
| colspan="2" |A4/vd5 ^A4/d5
| colspan="2" |F#/vGb ^F#/Gb
|-
!5ths
|17-19
| colspan="2" |So Sa Su
| colspan="2" |v5 P5 ^5
| colspan="2" |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)
| colspan="2" |Do Da (Du)
| colspan="2" |v8 P8 (^8)
| colspan="2" |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'''
{| class="wikitable" style="text-align:center"
|+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo
![[31edo]]
!solfege names
! colspan="2" |[[Ups and downs notation|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:
 
<u>'''Do''' Se</u> Re Le Me Te Fe/Su Ru Lu Mu Tu Fu <u>'''Du''' Sa</u> Ra La Ma Ta Fa <u>'''Da''' Si</u> Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do'''
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor)
![[31edo]]
!solfege names
! colspan="2" |[[Ups and downs notation|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 <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"
|+Andrew's solfege
![[31edo]]
!edosteps
!solfege names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="2" |[[Ups and downs notation|ups and downs]] names
|-
|-
Line 3,802: Line 5,894:
== 35edo ==
== 35edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+uniform solfege (-u = up, -o = down, -a = plain, -i = double-up, -e = double-down)
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[35edo]]
![[35edo]]
!edosteps
!edosteps
Line 3,870: Line 5,962:
== 36edo ==
== 36edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+uniform solfege (-u = up, -o = down, -a = plain), see also 24edo, 29edo
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo
![[36edo]]
![[36edo]]
!edosteps
!edosteps
Line 3,951: Line 6,043:
==41edo==
==41edo==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-u = up, -o = down, -a = plain, -i = mid), see also 53edo
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo
![[41edo]]
![[41edo]]
!edosteps
!edosteps
Line 4,082: Line 6,174:
== 48edo ==
== 48edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-u = up, -o = down, -a = plain, -i = double-up, -e = double-down), see also 24edo
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 24edo
![[48edo]]
![[48edo]]
!edosteps
!edosteps
Line 4,167: Line 6,259:
|}
|}
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-u = up, -o = down, -a = plain, -i = double-up, -e = double-down), see also 24edo
|+Kite's solfege (-u = up, -o = down, -a = plain, -i = dup, -e = dud), duplicate names are bolded
![[48edo]]
![[48edo]]
!edosteps
!edosteps
Line 4,175: Line 6,267:
!unisons
!unisons
|0-'''2'''
|0-'''2'''
| colspan="3" |Da Du Di
| colspan="3" |Da Du '''Di'''
| colspan="3" |P1 ^1 ^^1
| colspan="3" |P1 ^1 ^^1
| colspan="3" |C ^C ^^C
| colspan="3" |C ^C ^^C
Line 4,181: Line 6,273:
!2nds
!2nds
|'''2-10'''
|'''2-10'''
|Fre Fro Fra Fru
|'''Fre''' Fro Fra Fru
|Fri/Re
|Fri/Re
|Ro Ra Ru Ri
|Ro Ra Ru '''Ri'''
|vvm2 vm2 m2 ^m2
|vvm2 vm2 m2 ^m2
|~2
|~2
Line 4,193: Line 6,285:
!3rds
!3rds
|'''10-18'''
|'''10-18'''
|Ne No Na Nu
|'''Ne''' No Na Nu
|Ni/Me
|Ni/Me
|Mo Ma Mu Mi
|Mo Ma Mu '''Mi'''
|vvm3 vm3 m3 ^m3
|vvm3 vm3 m3 ^m3
|~3
|~3
Line 4,205: Line 6,297:
!4ths
!4ths
|'''18-22'''
|'''18-22'''
| colspan="3" |Fe Fo Fa Fu Fi
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi'''
| colspan="3" |vv4 v4 P4 ^4 ^^4
| colspan="3" |vv4 v4 P4 ^4 ^^4
| colspan="3" |vvF vF F ^F ^^F
| colspan="3" |vvF vF F ^F ^^F
Line 4,211: Line 6,303:
!tritones
!tritones
|'''22-26'''
|'''22-26'''
| colspan="3" |Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi'''
| colspan="3" |vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5
| colspan="3" |vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb
Line 4,217: Line 6,309:
!5ths
!5ths
|'''26-30'''
|'''26-30'''
| colspan="3" |Se So Sa Su Si
| colspan="3" |'''Se''' So Sa Su '''Si'''
| colspan="3" |vv5 v5 P5 ^5 ^^5
| colspan="3" |vv5 v5 P5 ^5 ^^5
| colspan="3" |vvG vG G ^G ^^G
| colspan="3" |vvG vG G ^G ^^G
Line 4,223: Line 6,315:
!6ths
!6ths
|'''30-38'''
|'''30-38'''
|Fle Flo Fla Flu
|'''Fle''' Flo Fla Flu
|Fli/Le
|Fli/Le
|Lo La Lu Li
|Lo La Lu '''Li'''
|vvm6 vm6 m6 ^m6
|vvm6 vm6 m6 ^m6
|~6
|~6
Line 4,235: Line 6,327:
!7ths
!7ths
|'''38-46'''
|'''38-46'''
|The Tho Tha Thu
|'''The''' Tho Tha Thu
|Thi/Te
|Thi/Te
|To Ta Tu Ti
|To Ta Tu '''Ti'''
|vvm7 vm7 m7 ^m7
|vvm7 vm7 m7 ^m7
|~7
|~7
Line 4,247: Line 6,339:
!8ves
!8ves
|'''46'''-48
|'''46'''-48
| colspan="3" |De Do Da (Du Di)
| colspan="3" |'''De''' Do Da (Du Di)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="3" |vv8 v8 P8 (^8 ^^8)
| colspan="3" |vvC vC C (^C ^^C)
| colspan="3" |vvC vC C (^C ^^C)
|}
|}
Fri/Ni/Fli/Thi are included to make the -i ring complete
plain/up/down/mid rings:  
plain/up/down/mid rings:  


Line 4,266: Line 6,360:
==53edo==
==53edo==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down)
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)
![[53edo]]
![[53edo]]
!edosteps
!edosteps
Line 4,375: Line 6,469:
== 60edo ==
== 60edo ==
{| class="wikitable" style="text-align:center"
{| class="wikitable" style="text-align:center"
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = double-up, -e = double-down), see also 48edo
|+Kite's solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), see also 48edo
![[36edo]]
![[36edo]]
!edosteps
!edosteps
Retrieved from "https://en.xen.wiki/w/User:TallKite/Solfeges"