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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. The excluded edos are the less efficient ones, with a fairly inaccurate 5th for their size. Thus they tend to be the less popular edos.
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. The excluded edos are the less efficient ones, with a fairly inaccurate 5th for their size. Thus they tend to be the less popular edos.


A 6th vowel could of course be added, which would cover most edos up to 72edo. Perhaps -uh for the mid/betweens ring  of 72edo?
More vowels could of course be added, to cover more edos. See 72edo below.


=== Examples ===
=== Examples ===
Line 1,829: Line 1,829:
{| class="wikitable  center-all"
{| class="wikitable  center-all"
|+
|+
uniform solfege (-u = up, -o = down, -a = plain)
uniform solfege (-a = plain, -u = up, -o = down)
![[15edo]]
![[15edo]]
!0
!0
Line 3,946: Line 3,946:
{| class="wikitable  center-all"
{| class="wikitable  center-all"
|+
|+
uniform solfege  (-u = up, -o = down, -a = plain)
uniform solfege  (-a = plain, -u = up, -o = down)
![[22edo]]
![[22edo]]
!0
!0
Line 4,872: Line 4,872:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
uniform solfege (-u = up, -a = plain, -o = down), see also 29edo, 36edo
uniform solfege (-a = plain, -u = up, -o = down), see also 29edo, 36edo
![[24edo]]
![[24edo]]
!0
!0
Line 9,095: Line 9,095:
|}
|}


== Rank-2 Uniform Solfeges by Pergen ==
== Bonus edo: 72edo ==
Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only uses enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate these temperaments, and the same consonants and vowels can be used. Instead of circles of 5ths, there are fifthchains. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains.
This solfege uses two additional vowels.
 
Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover 21 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.
 
This pdf '''[https://tallkite.com/misc_files/notation guide for rank-2 pergens.pdf tallkite.com/misc_files/notation guide for rank-2 pergens.pdf]''' lists many pergens. The tuning of every interval and every accidental is defined in terms of c = P5 - 700¢. The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval. The entire solfege can be derived from the pergen, the EI and the vowel sequence.
 
Sometimes -i and -e mean lift/drop not dup/dud. -i never means mid, so there are only two vowel sequences, not three:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+the two vowel sequences
|+
!3 vowels
uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud, -ih = trup, -uh = trud)
|
![[72edo]]
|<nowiki>-o = down</nowiki>
!edosteps
|<nowiki>-a = plain</nowiki>
! colspan="2" |solfege names
|<nowiki>-u = up</nowiki>
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|
|-
|-
!5 vowels
!unisons
| -e = dud or drop
|0-2
|<nowiki>-o = down</nowiki>
| colspan="2" |Da Du Di
|<nowiki>-a = plain</nowiki>
| colspan="2" |P1 ^1 ^^1
|<nowiki>-u = up</nowiki>
| colspan="2" |C ^C ^^C
|  -i = dup or lift
|}In certain pergens, there are compound vowels like -iyu for trup or -uwi for uplift.
 
In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''. The mode numbers are defined such that the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.
 
A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names. 
 
Every solfege syllable that ends in -o indicates a correlation with colorspeak. Thus temperaments that start with Mo have -o/-u = yo/gu, those that have 2nd syllable Tho have -o/-u = zo/ru, etc. 
 
To Do:
 
* make a table of pergens and what MOS scales each one covers
* discuss using numeric solfeges with non-diatonic-friendly MOSes
* for each pergen, list the entire genchain in melodic order, if possible?
 
=== List of MOS scales ===
Some combos of pergens and MOS scales require a very sharp or flat 5th. Just as with superflat edos, a uniform solfege can still be used, but the sound of the interval won't match what its name implies. Better to use a different pergen.
{| class="wikitable center-all"
|+
MOS scales and good pergens for them (bolded = requires more than 5 vowels)
!MOS scale
! colspan="2" |primary example
!secondary examples
|-
|-
!Pentatonic
!
!
|3
| colspan="2" |Dih/Fruh
| colspan="2" |^<sup>3</sup>1 / v<sup>3</sup>m2
| colspan="2" |^<sup>3</sup>C / v<sup>3</sup>Db
|-
!2nds
|4-14
|Fre Fro Fra Fru Fri
|Ruh Re Ro Ra Ru Ri
|vvm2 vm2 m2 ^m2 v~2
|~2 ^~2 vM2 M2 ^M2 ^^M2
|vvDb vDb Db ^Db ^^Db
|v<sup>3</sup>D vvD vD D ^D ^^D
|-
!
!
|15
| colspan="2" |Rih/Nuh
| colspan="2" |^<sup>3</sup>M2 / v<sup>3</sup>m3
| colspan="2" |^<sup>3</sup>D / v<sup>3</sup>Eb
|-
!3rds
|16-26
|Ne No Na Nu Ni
|Muh Me Mo Ma Mu Mi
|vvm3 vm3 m3 ^m3 v~3
|~3 ^~3 vM3 M3 ^M3 ^^M3
|vvEb vEb Eb ^Eb ^^Eb
|v<sup>3</sup>E vvE vE E ^E ^^E
|-
!
!
|27
| colspan="2" |Mih/Fuh
| colspan="2" |^<sup>3</sup>M3 / v<sup>3</sup>4
| colspan="2" |^<sup>3</sup>E / v<sup>3</sup>F
|-
|-
|1L 4s
!4ths
|(P8, P5/3) [5]
|28-32
|third-5th pentatonic
| colspan="2" |Fe Fo Fa Fu Fi
|third-4th, quarter-4th, quarter-5th
| colspan="2" |vv4 v4 P4 ^4 v~4
| colspan="2" |vvF vF F ^F ^^F
|-
|-
|2L 3s
!tritones
|(P8, P5) [5]
|33-39
|unsplit pentatonic
| colspan="2" |Fih/Puh/Shuh Pe/She Po/Sho Pa/Sha
|third-11th
Pu/Shu Pi/Shi Pih/Shi/Suh
| colspan="2" |~4/v<sup>3</sup>d5 ^~4/vvd5 vA4/vd5 A4/d5
^A4/^d5 ^^A4/v~5 ^<sup>3</sup>A4/~5
| colspan="2" |^<sup>3</sup>F/v<sup>3</sup>F#/v<sup>3</sup>Gb vvF#/vvGb vF#/vGb F#/Gb
^F#/^Gb ^^F#/^^Gb ^<sup>3</sup>F#/^<sup>3</sup>Gb/v<sup>3</sup>G
|-
|-
|3L 2s
!5ths
|(P8, P12/4) [5]
|40-44
|quarter-12th pentatonic
| colspan="2" |Se So Sa Su Si
|quarter-11th
| colspan="2" |^~5 v5 P5 ^5 ^^5
|-
| colspan="2" |vvG vG G ^G ^^G
|4L 1s
|(P8, P4/2) [5]
|half-4th pentatonic
|
|-
|-
!Hexatonic
!
!
!
!
|45
| colspan="2" |Sih/Fluh
| colspan="2" |^<sup>3</sup>5 / v<sup>3</sup>m6
| colspan="2" |^<sup>3</sup>G / v<sup>3</sup>Ab
|-
|-
|1L 5s
!6ths
|(P8, P4/3) [6]
|46-56
|third-4th hexatonic
|Fle Flo Fla Flu Fli
|quarter-4th, quarter-5th, fifth-4th, fifth-5th
|Luh Le Lo La Lu Li
|vvm6 vm6 m6 ^m6 v~6
|~6 ^~6 vM6 M6 ^M6 ^^M6
|vvAb vAb Ab ^Ab ^^Ab
|v<sup>3</sup>A vvA vA A ^A ^^A
|-
!
|57
| colspan="2" |Lih/Thuh
| colspan="2" |^<sup>3</sup>M6 / v<sup>3</sup>m7
| colspan="2" |^<sup>3</sup>A / v<sup>3</sup>Bb
|-
!7ths
|58-68
|The Tho Tha Thu Thi
|Tuh Te To Ta Tu Ti
|vvm7 vm7 m7 ^m7 v~7
|~7 ^~7 vM7 M7 ^M7 ^^M7
|vvBb vBb Bb ^Bb ^^Bb
|v<sup>3</sup>B vvB vB B ^B ^^B
|-
!
|69
| colspan="2" |Tih/Duh
| colspan="2" |^<sup>3</sup>M7 / v<sup>3</sup>8
| colspan="2" |^<sup>3</sup>B / v<sup>3</sup>C
|-
!8ves
|70-72
| colspan="2" |De Do Da (Du Di Dih)
| colspan="2" |vv8 v8 P8 (^8 ^^8 ^<sup>3</sup>8)
| colspan="2" |vvC vC C (^C ^^C ^<sup>3</sup>C)
|}
{| class="wikitable center-all"
|+
'''circles of fifths'''
! rowspan="3" |plain
 
circle
!0
!42
!12
!54
!24
!66
!36
!6
!48
!18
!60
!30
!72
|-
|-
|2L 4s
|Da
|(P8/2, P5) [6]
|Sa
|half-8ve hexatonic
|Ra
|La
|Ma
|Ta
|Pa
|
|
|
|
|
|
|
|-
|-
|3L 3s
|(P8/3, P5) [6]
|third-8ve hexatonic
|
|
|-
|4L 2s
|(P8/2, P4/2) [6]
|half-everything hexatonic
|
|
|-
|5L 1s
|(P8, P5/3) [6]
|third-5th hexatonic
|
|
|
|
|
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Da
|-
|-
!Heptatonic
| colspan="14" |
!
!
!
|-
|-
|1L 6s
! rowspan="3" |up
|(P8, P4/3) [7]
 
|third-4th heptatonic
circle
|quarter-4th, fifth-4th, fifth-5th, '''sixth-4th, sixth-5th'''
!1
|-
!43
|2L 5s
!13
|(P8, P11/3) [7]
!55
|third-11th heptatonic
!25
|fifth-coco-4th, '''sixth-coco-5th'''
!67
!37
!7
!49
!19
!61
!31
!1
|-
|-
|3L 4s
|Du
|(P8, P5/2) [7]
|Su
|half-5th heptatonic
|Ru
|fifth-12th
|Lu
|Mu
|Tu
|Pu
|
|
|
|
|
|
|-
|-
|4L 3s
|(P8, P11/5) [7]
|fifth-11th heptatonic
|'''sixth-12th'''
|-
|5L 2s
|(P8, P5) [7]
|unsplit heptatonic
|'''sixth-coco-4th'''
|-
|6L 1s
|(P8, P5/4) [7]
|quarter-5th heptatonic
|
|
|-
!Octotonic
!
!
!
|-
|1L 7s
|(P8, P4/4) [8]
|quarter-4th octotonic
|fifth-4th, fifth-5th, '''sixth-4th, sixth-5th, seventh-4th, seventh-5th'''
|-
|2L 6s
|(P8/2, P5) [8]
|half-8ve octotonic
|
|
|-
|3L 5s
|(P8, P11/4) [8]
|quarter-11th octotonic
|'''seventh-cc4th, seventh-cc5th'''
|-
|4L 4s
|(P8/4, P5) [8]
|quarter-8ve octotonic
|
|
|-
|5L 3s
|(P8, P12/4) [8]
|quarter-12th octotonic
|(very lopsided, unless 5th is quite flat)
|-
|6L 2s
|'''(P8/2, P4/3) [8]'''
|'''half-8ve third-4th octotonic'''
|
|
|-
|7L 1s
|(P8, P4/3) [8]
|third-4th octotonic
|
|
|
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!Nonatonic
| colspan="14" |
!
!
!
|-
|-
|1L 8s
! rowspan="3" |down
|(P8, P4/4) [9]
 
|quarter-4th nonatonic
circle
|fifth-4th, '''sixth-4th, sixth-5th, seventh-4th/5th, eighth-4th/5th'''
!71
!41
!11
!53
!23
!65
!35
!5
!47
!17
!59
!29
!71
|-
|-
|2L 7s
|Do
|'''(P8, c<sup>3</sup>P5/8) [9]'''
|So
|'''eighth-trico-5th nonatonic'''
|Ro
|third-11th, fifth-coco-4th
|Lo
|Mo
|To
|Po
|
|
|
|
|
|
|-
|-
|3L 6s
|(P8/3, P5) [9]
|third-8ve nonatonic
|'''third-8ve half-5th'''
|-
|4L 5s
|'''(P8, P12/7) [9]'''
|'''seventh-12th nonatonic'''
|'''sixth-11th'''
|-
|5L 4s
|(P8, P4/2) [9]
|half-4th nonatonic
|(lopsided unless 4th is sharp), '''seventh-11th'''
|-
|6L 3s
|'''(P8/3, P4/2) [9]'''
|'''third-8ve half-4th nonatonic'''
|
|
|-
|7L 2s
|'''(P8, ccP5/6)[9]'''
|'''sixth-coco-5th nonatonic'''
|(lopsided unless 5th is sharp)
|-
|8L 1s
|(P8, P5/5) [9]
|fifth-5th nonatonic
|
|
|
|
|
|
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
|-
!Decatonic
| colspan="14" |
!
!
!
|-
|-
|1L 9s
! rowspan="3" |dup
|'''(P8, P5/6) [10]'''
 
|'''sixth-5th decatonic'''
circle
|fifth-4th, '''sixth-4th, seventh-4th/5th, eighth-4th/5th, ninth-4th/5th'''
!2
!44
!14
!56
!26
!68
!38
!8
!50
!20
!62
!33
!2
|-
|-
|2L 8s
|Di
|(P8/2, P5) [10]
|Si
|half-8ve decatonic
|Ri
|half-8ve quartertone, '''half-8ve third-11th'''
|Li
|Mi
|Ti
|Pi
|
|
|
|
|
|
|-
|-
|3L 7s
|(P8, P12/5) [10]
|fifth-12th decatonic
|eighth-cc4th, eighth-cc5th
|-
|4L 6s
|(P8/2, P4/2) [10]
|half-everything decatonic
|
|
|-
|5L 5s
|(P8/2, P5) [10]
|half-8ve decatonic
|(lopsided unless 5th is quite flat)
|-
|6L 4s
|'''(P8/2, P5/3) [10]'''
|'''half-8ve third-5th decatonic'''
|
|
|
|
|
|
|Shi
|Fri
|Fli
|Ni
|Thi
|Fi
|Di
|-
|-
|7L 3s
| colspan="14" |
|(P8, P5/2) [10]
|half-5th decatonic
|'''ninth-coco-5th'''
|-
|-
|8L 2s
! rowspan="3" |dud circle
|'''(P8/2, P4/4) [10]'''
!70
|'''half-8ve quarter-4th decatonic'''
!40
|'''half-8ve quarter-12th'''
!10
!52
!22
!64
!34
!4
!46
!16
!58
!28
!70
|-
|-
|9L 1s
|De
|(P8, P4/2) [10]
|Se
|quarter-4th decatonic
|Re
|Le
|Me
|Te
|Pe
|
|
|
|
|
|}
|
 
|
== #1 (P8, P5) unsplit ==
|-
There are no ups and downs. The basic solfege has 13 notes. The extended solfege uses -u/-o to augment/diminish an -a interval. The solfege can be further extended with -i/-e meaning doubly augmented/diminished.
|
* G = P5, which = 700¢ + c for this and all other pergens
|
* EI = vA1 = 0¢ (extended solfege only)
|
* ^ = # = 100 + 7c (extended solfege only)
|
|
|
|She
|Fre
|Fle
|Ne
|The
|Fe
|De
|-
| colspan="14" |
|-
! rowspan="5" |trup/trud
circle
!3
!45
!15
!57
!27
!69
!39
!9
!51
!21
!63
!33
!3
|-
|Dih
|Sih
|Rih
|Lih
|Mih
|Tih
|Pih
|
|
|
|
|
|
|-
|
|
|
|
|
|
|Shih
|Frih
|Flih
|Nih
|Thih
|Fih
|Dih
|-
|Fruh
|Fluh
|Nuh
|Thuh
|Fuh
|Duh
|Suh
|Ruh
|Luh
|Muh
|Tuh
|Puh
|
|-
|
|
|
|
|
|
|
|
|
|
|
|Shuh
|Fluh
|}
 
== Rank-2 Uniform Solfeges by Pergen ==
Rank-2 temperaments have an infinite number of notes, so a solfege can only cover a fraction of them. But often one only uses enough notes to make a MOS scale. [[Pergen|Pergens]] tell us how to use ups and downs to notate these temperaments, and the same consonants and vowels can be used. Instead of circles of 5ths, there are fifthchains. Each fifthchain requires its own vowel, so there is a maximum of 5 fifthchains.


MOS scales covered:
Genchains are distinct from fifthchains. Each pergen has one or more genchains, each of which contains one or more fifthchains. However if the octave is split in halves or quarters, the half-octave requires two names, and the pergen needs an additional vowel. The 13 consonants and 5 vowels cover 21 pergens. Of course, the genchains can only extend so far with only 13 consonants. But in general, it's enough to cover all the modes of any reasonably-sized MOS scale.


* 5 = 2L3s (1\2 < P5 < 3\5) (for 3L2s, use P11/4 or P12/4, to avoid P5 > 3\5= 720¢)
This pdf '''[https://tallkite.com/misc_files/notation&#x20;guide&#x20;for&#x20;rank-2&#x20;pergens.pdf tallkite.com/misc_files/notation guide for rank-2 pergens.pdf]''' lists many pergens. The tuning of every interval and every accidental is defined in terms of c = P5 - 700¢. The EU ([[enharmonic unison]]) can be added to or subtracted from any note or interval to get an equivalent note or interval. The entire solfege can be derived from the pergen, the EU and the vowel sequence.
* 7 = 5L2s (4\7 < P5 < 3\5) (for 2L5s, perhaps use P11/3 or ccP4/5, to avoid P5 < 4\7 = 686¢)
* 12 = 7L5s or 5L7s (4\7 < P5 < 3\5) (extended solfege only)
* 19 = 12L7s and 7L12s (extended solfege only)


{| class="wikitable center-all"
Sometimes -i and -e mean lift/drop not dup/dud. -i never means mid, so there are only two vowel sequences, not three:
|+
{| class="wikitable"
'''basic solfege (-a = plain)'''
|+unsplit (no-pair) solfege
|-
!genspan
!-6
!-5
!-4
!-4
!-3
!-3
Line 9,396: Line 9,538:
!3
!3
!4
!4
!5
!6
|-
|-
!solfege
!d<sup>4</sup>
|Sha
!ddd
|Fra
!dd
|Fla
!dim
|Na
!plain
|Tha
!aug
|Fa
!AA
|'''Da'''
!AAA
|Sa
!A<sup>4</sup>
|Ra
|-
|La
| -eye
|Ma
"ay-yay"
|Ta
| -eyo
|Pa
| -e
|-
| -o
!intervals
| -a
|d5
| -u
|m2
| -i
|m6
| -iyu
|m3
| -iyi
|m7
"ee-yee"
|P4
|}
|'''P1'''
{| class="wikitable"
|P5
|+single-pair solfeges
|M2
!-4
|M6
|M3
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|}
{| class="wikitable center-all"
|+
'''extended solfege (-a = plain, -u = up = aug, -o = down = dim, and possibly -i = double-aug and -e = double-dim)'''
|-
!genspan
!-20
!...
!-13
!...
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-3
!-2
!-2
Line 9,469: Line 9,572:
!3
!3
!4
!4
!5
!6
!7
!8
!9
!10
!11
!...
!13
!...
!20
|-
|-
!solfege
!quud
|She
!trud
|...
!dud
|Sho/Se
!down
|...
!plain
|Flo
!up
|No
!dup
|Tho
!trup
|Fo
!quup
|Do
|-
|So/Sha
| -eye
|Fra
| -eyo
|Fla
| -e
|Na
| -o
|Tha
| -a
|Fa
| -u
|'''Da'''
| -i
|Sa
| -iyu
|Ra
| -iyi
|La
|}
|Ma
{| class="wikitable"
|Ta
|+double-pair solfeges
|Pa/Fu
|
|Du
!down
|Su
!plain
|Ru
!up
|Lu
|-
|Mu
!lift
|...
| -owi
|Pu/Fi
| -i
|...
| -uwi
|Pi
|-
|-
!intervals
!plain
|d<sup>3</sup>5
| -o
|...
| -a
|dd5
| -u
|...
|d6
|d3
|d7
|d4
|d8
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|A1
|A5
|A2
|A6
|A3
|...
|AA4
|...
|A<sup>3</sup>4
|-
|-
!notes
!drop
|Gbbb
| -owe
|...
| -e
|Gbb
| -uwe
|...
|}
|Abb
Any compound vowel with a "w" is for double-pair only. Mnemonic: w = double-u = double-pair.
|Ebb
 
|Bbb
In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''. The mode numbers are defined such that the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa.
|Fb
 
|Cb
A pergen's solfege can suggest an edo's solfege. For example, 22edo supports (P8, P4/3), and the pergen's solfege has 27 notes in it. Since the generator is 3\22, simply apply the genchain to every 3rd edostep of 22edo. The extra 5 names make duplicate names. 
|Gb
 
|Db
Every solfege syllable that ends in -o indicates a correlation with colorspeak. Thus temperaments that start with Mo have -o/-u = yo/gu, those that have 2nd syllable Tho have -o/-u = zo/ru, etc. 
|Ab
 
|Eb
To Do:
|Bb
 
|F
* make a table of pergens and what MOS scales each one covers
|'''C'''
* discuss using numeric solfeges with non-diatonic-friendly MOSes
|G
* for each pergen, list the entire genchain in melodic order, if possible?
|D
 
|A
=== List of MOS scales ===
|E
Some combos of pergens and MOS scales require a very sharp or flat 5th. Just as with superflat edos, a uniform solfege can still be used, but the sound of the interval won't match what its name implies. Better to use a different pergen.
|B
|F#
|C#
|G#
|D#
|A#
|E#
|...
|Fx
|...
|Fx#
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L3s MOS scales (L = m3, s = M2), L/s = (300-3c)/(200+2c)
MOS scales and good pergens for them (bolded = requires more than 5 vowels)
![[Genchain mode numbering|GMN]] name
!MOS scale
! colspan="2" |scale
! colspan="2" |primary example
!0
!secondary examples
!1
!2
!3
!4
!5
|-
|-
!1st 2L3s
!Pentatonic
!ssLsL
!
!Ionian
!
|Da
!
|Ra
|'''Ma'''
|Sa
|La
|Da
|-
|-
!2nd 2L3s
|1L 4s
!sLssL
|(P8, P5/3) [5]
!Mixolydian
|third-5th pentatonic
|Da
|third-4th, quarter-4th, quarter-5th
|Ra
|'''Fa'''
|Sa
|'''La'''
|Da
|-
|-
!3rd 2L3s
|2L 3s
!sLsLs
|(P8, P5) [5]
!Dorian
|unsplit pentatonic
|Da
|third-11th
|'''Ra'''
|Fa
|Sa
|'''Tha'''
|Da
|-
|-
!4th 2L3s
|3L 2s
!LssLs
|(P8, P12/4) [5]
!Aolian
|quarter-12th pentatonic
|Da
|quarter-11th
|'''Na'''
|Fa
|'''Sa'''
|Tha
|Da
|-
|-
!5th 2L3s
|4L 1s
!LsLss
|(P8, P4/2) [5]
!Phrygian
|half-4th pentatonic
|Da
|
|Na
|Fa
|'''Fla'''
|Tha
|Da
|}
{| class="wikitable center-all"
|+
5L2s MOS scales (L = M2, s = m2), L/s = (200+2c)/(100-5c)
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
|-
!1st 5L2s
!Hexatonic
!LLLsLLs
!
!Lydian
!
|Da
!
|Ra
|Ma
|'''Pa'''
|Sa
|La
|Ta
|Da
|-
|-
!2nd 5L2s
|1L 5s
!LLsLLLs
|(P8, P4/3) [6]
!Ionian
|third-4th hexatonic
|Da
|quarter-4th, quarter-5th, fifth-4th, fifth-5th
|Ra
|Ma
|'''Fa'''
|Sa
|La
|'''Ta'''
|Da
|-
|-
!3rd 5L2s
|2L 4s
!LLsLLsL
|(P8/2, P5) [6]
!Mixolydian
|half-8ve hexatonic
|Da
|
|Ra
|'''Ma'''
|Fa
|Sa
|La
|'''Tha'''
|Da
|-
|-
!4th 5L2s
|3L 3s
!LsLLLsL
|(P8/3, P5) [6]
!Dorian
|third-8ve hexatonic
|Da
|
|Ra
|'''Na'''
|Fa
|Sa
|'''La'''
|Tha
|Da
|-
|-
!5th 5L2s
|4L 2s
!LsLLsLL
|(P8/2, P4/2) [6]
!Aolian
|half-everything hexatonic
|Da
|
|'''Ra'''
|-
|Na
|5L 1s
|Fa
|(P8, P5/3) [6]
|Sa
|third-5th hexatonic
|'''Fla'''
|
|Tha
|Da
|-
|-
!6th 5L2s
!Heptatonic
!sLLLsLL
!
!Phrygian
!
|Da
!
|'''Fra'''
|Na
|Fa
|'''Sa'''
|Fla
|Tha
|Da
|-
|-
!7th 5L2s
|1L 6s
!sLLsLLL
|(P8, P4/3) [7]
!Locrian
|third-4th heptatonic
|Da
|quarter-4th, fifth-4th, fifth-5th, '''sixth-4th, sixth-5th'''
|Fra
|Na
|Fa
|'''Sha'''
|Fla
|Tha
|Da
|}
{| class="wikitable center-all"
|+
5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege, L/s = (100+7c)/(100-5c)
 
if P5 > 700¢, swap L and s to get 7L5s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
|-
|-
!1st 5L7s
|2L 5s
!LsLsLssLsLss
|(P8, P11/3) [7]
|Da
|third-11th heptatonic
|Du
|fifth-coco-4th, '''sixth-coco-5th'''
|Ra
|Ru
|Ma
|'''Mu'''
|Pa/Fu
|Sa
|Su
|La
|Lu
|Ta
|Da
|-
|-
!2nd 5L7s
|3L 4s
!LsLssLsLsLss
|(P8, P5/2) [7]
|Da
|half-5th heptatonic
|Du
|fifth-12th
|Ra
|Ru
|Ma
|'''Fa'''
|Pa/Fu
|Sa
|Su
|La
|'''Lu'''
|Ta
|Da
|-
|-
!3rd 5L7s
|4L 3s
!LsLssLsLssLs
|(P8, P11/5) [7]
|Da
|fifth-11th heptatonic
|Du
|'''sixth-12th'''
|Ra
|'''Ru'''
|Ma
|Fa
|Pa/Fu
|Sa
|Su
|La
|'''Tha'''
|Ta
|Da
|-
|-
!4th 5L7s
|5L 2s
!LssLsLsLssLs
|(P8, P5) [7]
|Da
|unsplit heptatonic
|Du
|'''sixth-coco-4th'''
|Ra
|'''Na'''
|Ma
|Fa
|Pa/Fu
|Sa
|'''Su'''
|La
|Tha
|Ta
|Da
|-
|-
!5th 5L7s
|6L 1s
!LssLsLssLsLs
|(P8, P5/4) [7]
|Da
|quarter-5th heptatonic
|'''Du'''
|
|Ra
|Na
|Ma
|Fa
|Pa/Fu
|Sa
|'''Fla'''
|La
|Tha
|Ta
|Da
|-
|-
!6th 5L7s
!Octotonic
!sLsLsLssLsLs
!
|Da
!
|'''Fra'''
!
|Ra
|Na
|Ma
|Fa
|'''Pa'''
|Sa
|Fla
|La
|Tha
|Ta
|Da
|-
|-
!7th 5L7s
|1L 7s
!sLsLssLsLsLs
|(P8, P4/4) [8]
|Da
|quarter-4th octotonic
|Fra
|fifth-4th, fifth-5th, '''sixth-4th, sixth-5th, seventh-4th, seventh-5th'''
|Ra
|-
|Na
|2L 6s
|Ma
|(P8/2, P5) [8]
|Fa
|half-8ve octotonic
|'''Sha'''
|
|Sa
|Fla
|La
|Tha
|'''Ta'''
|Da
|-
|-
!8th 5L7s
|3L 5s
!sLsLssLsLssL
|(P8, P11/4) [8]
|Da
|quarter-11th octotonic
|Fra
|'''seventh-cc4th, seventh-cc5th'''
|Ra
|Na
|'''Ma'''
|Fa
|Sha/So
|Sa
|Fla
|La
|Tha
|'''Do'''
|Da
|-
|-
!9th 5L7s
|4L 4s
!sLssLsLsLssL
|(P8/4, P5) [8]
|Da
|quarter-8ve octotonic
|Fra
|
|Ra
|Na
|'''Fo'''
|Fa
|Sha/So
|Sa
|Fla
|'''La'''
|Tha
|Do
|Da
|-
|-
!10th 5L7s
|5L 3s
!sLssLsLssLsL
|(P8, P12/4) [8]
|Da
|quarter-12th octotonic
|Fra
|(very lopsided, unless 5th is quite flat)
|'''Ra'''
|Na
|Fo
|Fa
|Sha/So
|Sa
|Fla
|'''Tho'''
|Tha
|Do
|Da
|-
|-
!11th 5L7s
|6L 2s
!ssLsLsLssLsL
|'''(P8/2, P4/3) [8]'''
|Da
|'''half-8ve third-4th octotonic'''
|Fra
|
|'''No'''
|Na
|Fo
|Fa
|Sha/So
|'''Sa'''
|Fla
|Tho
|Tha
|Do
|Da
|-
|-
!12th 5L7s
|7L 1s
!ssLsLssLsLsL
|(P8, P4/3) [8]
|Da
|third-4th octotonic
|Fra
|
|No
|Na
|Fo
|Fa
|Sha/So
|'''Flo'''
|Fla
|Tho
|Tha
|Do
|Da
|}
Meantone keyboards were usually tuned to the 4th mode (a fifthchain from Eb to G#).
 
The sequence of scales starts off with 6 sharps and ends with 7 flats and 3 double-flats:
 
* C C# D D# E '''E#''' F# G G# A A# B C
* C C# D D# E '''F''' F# G G# A '''A#''' B C
* C C# D D# E F F# G G# A '''Bb''' B C
* and so on until it ends with
* C Db Ebb Eb Fb F Gb Abb Ab Bbb Bb Cb C
 
12edo's uniform solfege #2 is a merging of the 2nd through 7th modes.
 
== #2 (P8/2, P5) half-8ve (decide on a solfege) ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
 
* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2) = 600¢
* G = P5 = 700¢ + c
*  '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
*  '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
* EI = ^^d2 (solfege #1) = 0¢
* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
* ^ = 6 '''⋅''' |c|
 
MOS scales covered:
 
* 8 = 2L6s (either solfege) or 6L2s (solfege #1 only, P5 > 5\8 = 750¢)
* 10 = 2L8s (either solfege) or 8L2s (solfege #1 only, P5 > 3\5 = 720¢)
* 12 = 10L2s (solfege #1 only) or 2L10s (solfege #2 only)
* 14 = 12L2s (solfege #2 only)
 
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
|-
|-
! colspan="2" |genspan ('''gen = P5''')
!Nonatonic
!-6
!
!-5
!
!-4
!
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
|-
! rowspan="3" |plain
|1L 8s
 
|(P8, P4/4) [9]
genchain
|quarter-4th nonatonic
 
|fifth-4th, '''sixth-4th, sixth-5th, seventh-4th/5th, eighth-4th/5th'''
perspan = 0
|-
!solfege
|2L 7s
|Sha
|'''(P8, c<sup>3</sup>P5/8) [9]'''
|Fra
|'''eighth-trico-5th nonatonic'''
|Fla
|third-11th, fifth-coco-4th
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|Ma
|Ta
|Pa
|-
|-
!intervals
|3L 6s
|d5
|(P8/3, P5) [9]
|m2
|third-8ve nonatonic
|m6
|'''third-8ve half-5th'''
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
|-
!notes
|4L 5s
|Gb
|'''(P8, P12/7) [9]'''
|Db
|'''seventh-12th nonatonic'''
|Ab
|'''sixth-11th'''
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
|-
| colspan="15" |
|5L 4s
|(P8, P4/2) [9]
|half-4th nonatonic
|(lopsided unless 4th is sharp), '''seventh-11th'''
|-
|-
! rowspan="3" |up/down
|6L 3s
 
|'''(P8/3, P4/2) [9]'''
genchain
|'''third-8ve half-4th nonatonic'''
 
|
perspan = ±1
!solfege
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!intervals
|7L 2s
|v8
|'''(P8, ccP5/6)[9]'''
|v5
|'''sixth-coco-5th nonatonic'''
|vM2
|(lopsided unless 5th is sharp)
|vM6
|-
|vM3
|8L 1s
|vM7
|(P8, P5/5) [9]
|vA4/^d5
|fifth-5th nonatonic
|^m2
|
|^m6
|^m3
|^m7
|^4
|^1
|-
|-
!notes
!Decatonic
|vC
!
|vG
!
|vD
!
|vA
|vE
|vB
|vF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|}
{| class="wikitable center-all"
|+
'''solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down) [[mingen]] format'''
|-
|-
! colspan="2" |genspan ('''gen = vA1/^m2''')
|1L 9s
!-6
|'''(P8, P5/6) [10]'''
!-5
|'''sixth-5th decatonic'''
!-4
|fifth-4th, '''sixth-4th, seventh-4th/5th, eighth-4th/5th, ninth-4th/5th'''
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
|-
! rowspan="3" |Da's
|2L 8s
 
|(P8/2, P5) [10]
genchain
|half-8ve decatonic
 
|half-8ve quartertone, '''half-8ve third-11th'''
perspan = 0
!solfege
|Sha
|So
|Fla
|Lo
|Tha
|To
|'''Da'''
|Fru
|Ra
|Nu
|Ma
|Fu
|Pa
|-
|-
!intervals
|3L 7s
|d5
|(P8, P12/5) [10]
|v5
|fifth-12th decatonic
|m6
|eighth-cc4th, eighth-cc5th
|vM6
|-
|m7
|4L 6s
|vM7
|(P8/2, P4/2) [10]
|'''P1'''
|half-everything decatonic
|^m2
|
|M2
|-
|^m3
|5L 5s
|M3
|(P8/2, P5) [10]
|^4
|half-8ve decatonic
|A4
|(lopsided unless 5th is quite flat)
|-
|6L 4s
|'''(P8/2, P5/3) [10]'''
|'''half-8ve third-5th decatonic'''
|
|-
|-
!notes
|7L 3s
|Gb
|(P8, P5/2) [10]
|vG
|half-5th decatonic
|Ab
|'''ninth-coco-5th'''
|vA
|Bb
|vB
|'''C'''
|^Db
|D
|^Eb
|E
|^F
|F#
|-
|-
| colspan="15" |
|8L 2s
|'''(P8/2, P4/4) [10]'''
|'''half-8ve quarter-4th decatonic'''
|'''half-8ve quarter-12th'''
|-
|-
! rowspan="3" |Sa's
|9L 1s
|(P8, P4/2) [10]
|quarter-4th decatonic
|
|}
 
== #1 (P8, P5) unsplit ==
There are no ups and downs. The basic solfege has 13 notes. The extended solfege uses -u/-o to augment/diminish an -a interval. The solfege can be further extended with -i/-e meaning doubly augmented/diminished.
* G = P5, which = 700¢ + c for this and all other pergens
* EU = vA1 = 0¢ (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)
 
MOS scales covered:


genchain
* 5 = 2L3s (1\2 < P5 < 3\5) (for 3L2s, use P11/4 or P12/4, to avoid P5 > 3\5= 720¢)
* 7 = 5L2s (4\7 < P5 < 3\5) (for 2L5s, perhaps use P11/3 or ccP4/5, to avoid P5 < 4\7 = 686¢)
* 12 = 7L5s or 5L7s (4\7 < P5 < 3\5) (extended solfege only)
* 19 = 12L7s and 7L12s (extended solfege only)


perspan = ±1
{| class="wikitable center-all"
|+
'''basic solfege (-a = plain)'''
|-
!genspan
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
!solfege
!solfege
|Do
|Sha
|Fra
|Fra
|Ro
|Fla
|Na
|Na
|Mo
|Tha
|Fa
|Fa
|Po/Shu
|'''Da'''
|Sa
|Sa
|Flu
|Ra
|La
|La
|Thu
|Ma
|Ta
|Ta
|Du
|Pa
|-
|-
!intervals
!intervals
|v8
|d5
|m2
|m2
|vM2
|m6
|m3
|m3
|vM3
|m7
|P4
|P4
|vA4/^d5
|'''P1'''
|P5
|P5
|^m6
|M2
|M6
|M6
|^m7
|M3
|M7
|M7
|^1
|A4
|-
|-
!notes
!notes
|vC
|Gb
|Db
|Db
|vD
|Ab
|Eb
|Eb
|vE
|Bb
|F
|F
|vF#/^Gb
|'''C'''
|G
|G
|^Ab
|D
|A
|A
|^Bb
|E
|B
|B
|^C
|F#
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L6s MOS scales using solfege #1 (L = m3/vvA2, s = vA1/^m2)
'''extended solfege (-a = plain, -u = up = aug, -o = down = dim, and possibly -i = double-aug and -e = double-dim)'''
 
|-
if P5 > 5\8 = 750¢, swap L and s to get 6L2s
!genspan
![[Genchain mode numbering|GMN]] name
!-20
!scale
!...
!-13
!...
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 10,242: Line 9,970:
!7
!7
!8
!8
!9
!10
!11
!...
!13
!...
!20
|-
|-
!1st 2L6s
!solfege
!sssL-sssL
|She
|Da
|...
|Fru
|Sho/Se
|Ra
|...
|'''Nu'''
|Flo
|Po/Shu
|No
|Sa
|Tho
|Flu
|Fo
|'''La'''
|Do
|Da
|So/Sha
|-
|Fra
!2nd 2L6s
|Fla
!ssLs-ssLs
|Na
|Da
|Tha
|Fru
|Fa
|'''Ra'''
|'''Da'''
|'''Fa'''
|Po/Shu
|Sa
|Sa
|'''Flu'''
|'''To'''
|Da
|-
!3rd 2L6s
!sLss-sLss
|Da
|'''Fru'''
|'''Mo'''
|Fa
|Po/Shu
|'''Sa'''
|'''Tha'''
|To
|Da
|-
!4th 2L6s
!Lsss-Lsss
|Da
|'''Na'''
|Mo
|Fa
|Po/Shu
|'''Lo'''
|Tha
|To
|Da
|}
{| class="wikitable center-all"
|+
2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
if P5 > 3\5 = 720¢, swap L and s to get 8L2s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
!1st 2L8s
!ssssL-ssssL
|Da
|Fru
|Ra
|Ra
|Nu
|'''Ma'''
|Po/Shu
|Sa
|Flu
|La
|La
|'''Thu'''
|Ma
|Da
|Ta
|Pa/Fu
|Du
|Su
|Ru
|Lu
|Mu
|...
|Pu/Fi
|...
|Pi
|-
|-
!2nd 2L8s
!intervals
!sssLs-sssLs
|d<sup>3</sup>5
|...
|dd5
|...
|d6
|d3
|d7
|d4
|d8
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|A1
|A5
|A2
|A6
|A3
|...
|AA4
|...
|A<sup>3</sup>4
|-
!notes
|Gbbb
|...
|Gbb
|...
|Abb
|Ebb
|Bbb
|Fb
|Cb
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|C#
|G#
|D#
|A#
|E#
|...
|Fx
|...
|Fx#
|}
{| class="wikitable center-all"
|+
2L3s MOS scales (L = m3, s = M2), L/s = (300-3c)/(200+2c)
![[Genchain mode numbering|GMN]] name
! colspan="2" |scale
!0
!1
!2
!3
!4
!5
|-
!1st 2L3s
!ssLsL
!Ionian
|Da
|Da
|Fru
|Ra
|Ra
|'''Nu'''
|'''Ma'''
|'''Fa'''
|Sa
|Po/Shu
|La
|Da
|-
!2nd 2L3s
!sLssL
!Mixolydian
|Da
|Ra
|'''Fa'''
|Sa
|Sa
|Flu
|'''La'''
|'''La'''
|'''To'''
|Da
|Da
|-
|-
!3rd 2L8s
!3rd 2L3s
!ssLss-ssLss
!sLsLs
!Dorian
|Da
|Da
|Fru
|'''Ra'''
|'''Ra'''
|'''Mo'''
|Fa
|Fa
|Po/Shu
|Sa
|Sa
|'''Flu'''
|'''Tha'''
|'''Tha'''
|To
|Da
|Da
|-
|-
!4th 2L8s
!4th 2L3s
!sLsss-sLsss
!LssLs
!Aolian
|Da
|Da
|'''Fru'''
|'''Na'''
|'''Na'''
|Mo
|Fa
|Fa
|Po/Shu
|'''Sa'''
|'''Sa'''
|'''Lo'''
|Tha
|Tha
|To
|Da
|Da
|-
|-
!5th 2L8s
!5th 2L3s
!Lssss-Lssss
!LsLss
!Phrygian
|Da
|Da
|'''Ro'''
|Na
|Na
|Mo
|Fa
|Fa
|Po/Shu
|'''Fla'''
|'''Fla'''
|Lo
|Tha
|Tha
|To
|Da
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
5L2s MOS scales (L = M2, s = m2), L/s = (200+2c)/(100-5c)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
! colspan="2" |scale
!1sn
!1sn
! colspan="2" |2nds
!2nd
! colspan="2" |3rds
!3rd
!4th
!4th
!tritone
!5th
!5th
! colspan="2" |6ths
!6th
! colspan="2" |7ths
!7th
!8ve
!8ve
|-
|-
!1st 10L2s
!1st 5L2s
!LLLLLs-LLLLLs
!LLLsLLs
!Lydian
|Da
|Da
|Fru
|Ra
|Ra
|Nu
|Ma
|Ma
|'''Fu'''
|'''Pa'''
|Shu
|Sa
|Sa
|Flu
|La
|La
|Thu
|Ta
|'''Ta'''
|Da
|Da
|-
|-
!2nd 10L2s
!2nd 5L2s
!LLLLsL-LLLLsL
!LLsLLLs
!Ionian
|Da
|Da
|Fru
|Ra
|Ra
|Nu
|Ma
|'''Ma'''
|'''Fa'''
|'''Fa'''
|Po/Shu
|Sa
|Sa
|Flu
|La
|La
|'''Thu'''
|'''Ta'''
|'''To'''
|Da
|Da
|-
|-
!3rd 10L2s
!3rd 5L2s
!LLLsLL-LLLsLL
!LLsLLsL
!Mixolydian
|Da
|Da
|Fru
|Ra
|Ra
|'''Nu'''
|'''Ma'''
|'''Mo'''
|Fa
|Fa
|Po/Shu
|Sa
|Sa
|Flu
|La
|'''La'''
|'''Tha'''
|'''Tha'''
|To
|Da
|Da
|-
|-
!4th 10L2s
!4th 5L2s
!LLsLLL-LLsLLL
!LsLLLsL
!Dorian
|Da
|Da
|Fru
|Ra
|'''Ra'''
|'''Na'''
|'''Na'''
|Mo
|Fa
|Fa
|Po/Shu
|Sa
|Sa
|'''Flu'''
|'''La'''
|'''Lo'''
|Tha
|Tha
|To
|Da
|Da
|-
|-
!5th 10L2s
!5th 5L2s
!LsLLLL-LsLLLL
!LsLLsLL
!Aolian
|Da
|Da
|'''Fru'''
|'''Ra'''
|'''Ro'''
|Na
|Na
|Mo
|Fa
|Fa
|Po/Shu
|Sa
|'''Sa'''
|'''Fla'''
|'''Fla'''
|Lo
|Tha
|Tha
|To
|Da
|Da
|-
|-
!6th 10L2s
!6th 5L2s
!sLLLLL-sLLLLL
!sLLLsLL
!Phrygian
|Da
|Da
|'''Fra'''
|'''Fra'''
|Ro
|Na
|Na
|Mo
|Fa
|Fa
|Po
|'''Sa'''
|'''So'''
|Fla
|Tha
|Da
|-
!7th 5L2s
!sLLsLLL
!Locrian
|Da
|Fra
|Na
|Fa
|'''Sha'''
|Fla
|Fla
|Lo
|Tha
|Tha
|To
|Da
|Da
|}
|}
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege, L/s = (100+7c)/(100-5c)
|-
 
! colspan="2" |genspan ('''gen = P5''')
if P5 > 700¢, swap L and s to get 7L5s
!-6
![[Genchain mode numbering|GMN]] name
!-5
!scale
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 10,513: Line 10,251:
!5
!5
!6
!6
!7
!8
!9
!10
!11
!12
|-
|-
! rowspan="3" |plain
!1st 5L7s
 
!LsLsLssLsLss
genchain
|Da
 
|Du
perspan = 0
|Ra
!solfege
|Ru
|Sha
|Ma
|Fra
|'''Mu'''
|Fla
|Pa/Fu
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Sa
|Su
|La
|Lu
|Ta
|Da
|-
!2nd 5L7s
!LsLssLsLsLss
|Da
|Du
|Ra
|Ra
|Ru
|Ma
|'''Fa'''
|Pa/Fu
|Sa
|Su
|La
|La
|'''Lu'''
|Ta
|Da
|-
!3rd 5L7s
!LsLssLsLssLs
|Da
|Du
|Ra
|'''Ru'''
|Ma
|Ma
|Fa
|Pa/Fu
|Sa
|Su
|La
|'''Tha'''
|Ta
|Ta
|Pa
|Da
|-
|-
!intervals
!4th 5L7s
|d5
!LssLsLsLssLs
|m2
|Da
|m6
|Du
|m3
|Ra
|m7
|'''Na'''
|P4
|Ma
|'''P1'''
|Fa
|P5
|Pa/Fu
|M2
|Sa
|M6
|'''Su'''
|M3
|La
|M7
|Tha
|A4
|Ta
|Da
|-
|-
!notes
!5th 5L7s
|Gb
!LssLsLssLsLs
|Db
|Da
|Ab
|'''Du'''
|Eb
|Ra
|Bb
|Na
|F
|Ma
|'''C'''
|Fa
|G
|Pa/Fu
|D
|Sa
|A
|'''Fla'''
|E
|La
|B
|Tha
|F#
|Ta
|Da
|-
|-
| colspan="15" |
!6th 5L7s
!sLsLsLssLsLs
|Da
|'''Fra'''
|Ra
|Na
|Ma
|Fa
|'''Pa'''
|Sa
|Fla
|La
|Tha
|Ta
|Da
|-
|-
! rowspan="3" |up/down
!7th 5L7s
 
!sLsLssLsLsLs
genchain
|Da
 
|Fra
perspan = ±1
|Ra
!solfege
|Na
|Du
|Ma
|Su
|Fa
|Ru
|'''Sha'''
|Lu
|Sa
|Mu
|Fla
|Tu
|La
|Pu/Sho
|Tha
|Fro
|'''Ta'''
|Flo
|Da
|No
|Tho
|Fo
|Do
|-
|-
!intervals
!8th 5L7s
|^1
!sLsLssLsLssL
|^5
|Da
|^M2
|Fra
|^M6
|Ra
|^M3
|Na
|^M7
|'''Ma'''
|^A4/vd5
|Fa
|vm2
|Sha/So
|vm6
|Sa
|vm3
|Fla
|vm7
|La
|v4
|Tha
|v8
|'''Do'''
|Da
|-
|-
!notes
!9th 5L7s
|^C
!sLssLsLsLssL
|^G
|Da
|^D
|Fra
|^A
|Ra
|^E
|Na
|^B
|'''Fo'''
|^F#/vGb
|Fa
|vDb
|Sha/So
|vAb
|Sa
|vEb
|Fla
|vBb
|'''La'''
|vF
|Tha
|vC
|Do
|}
|Da
{| class="wikitable center-all"
|+
'''solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down) [[mingen]] format'''
|-
|-
! colspan="2" |genspan (gen = ^A1/vm2)
!10th 5L7s
!-6
!sLssLsLssLsL
!-5
|Da
!-4
|Fra
!-3
|'''Ra'''
!-2
|Na
!-1
|Fo
!0
|Fa
!1
|Sha/So
!2
|Sa
!3
!4
!5
!6
|-
! rowspan="3" |Da's
 
genchain
 
perspan = 0
!solfege
|Sha
|Su
|Fla
|Fla
|Lu
|'''Tho'''
|Tha
|Tha
|Tu
|Do
|'''Da'''
|Da
|Fro
|Ra
|No
|Ma
|Fo
|Pa
|-
|-
!intervals
!11th 5L7s
|d5
!ssLsLsLssLsL
|^5
|Da
|m6
|Fra
|^M6
|'''No'''
|m7
|Na
|^M7
|Fo
|'''P1'''
|Fa
|vm2
|Sha/So
|M2
|'''Sa'''
|vm3
|Fla
|M3
|Tho
|v4
|Tha
|A4
|Do
|Da
|-
|-
!notes
!12th 5L7s
|Gb
!ssLsLssLsLsL
|^G
|Da
|Ab
|^A
|Bb
|^B
|'''C'''
|vDb
|D
|vEb
|E
|vF
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
 
genchain
 
perspan = ±1
!solfege
|Du
|Fra
|Fra
|Ru
|No
|Na
|Na
|Mu
|Fo
|Fa
|Fa
|Pu/Sho
|Sha/So
|Sa
|'''Flo'''
|Flo
|Fla
|La
|Tho
|Tho
|Ta
|Tha
|Do
|Do
|-
|Da
!intervals
|}
|^1
Meantone keyboards were usually tuned to the 4th mode (a fifthchain from Eb to G#).
|m2
 
|^M2
The sequence of scales starts off with 6 sharps and ends with 7 flats and 3 double-flats:
|m3
 
|^M3
* C C# D D# E '''E#''' F# G G# A A# B C
|P4
* C C# D D# E '''F''' F# G G# A '''A#''' B C
|^A4/vd5
* C C# D D# E F F# G G# A '''Bb''' B C
|P5
* and so on until it ends with
|vm6
* C Db Ebb Eb Fb F Gb Abb Ab Bbb Bb Cb C
|M6
 
|vm7
12edo's uniform solfege #2 is a merging of the 2nd through 7th modes.
|M7
 
|v8
== #2 (P8/2, P5) half-8ve (decide on a solfege) ==
|-
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
!notes
 
|^C
* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2) = 600¢
|Db
* G = P5 = 700¢ + c
|^D
*  '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
|Eb
*  '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
|^E
* EU = ^^d2 (solfege #1) = 0¢
|F
* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
|^F#/vGb
* ^ = 6 '''⋅''' |c|
|G
 
|vAb
MOS scales covered:
|A
 
|vBb
* 8 = 2L6s (either solfege) or 6L2s (solfege #1 only, P5 > 5\8 = 750¢)
|B
* 10 = 2L8s (either solfege) or 8L2s (solfege #1 only, P5 > 3\5 = 720¢)
|vC
* 12 = 10L2s (solfege #1 only) or 2L10s (solfege #2 only)
|}
* 14 = 12L2s (solfege #2 only)
 
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L6s MOS scales using solfege #2 (L = m3/^^A2, s = ^A1/vm2)
'''solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
|-
!scale
! colspan="2" |genspan ('''gen = P5''')
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 10,749: Line 10,499:
!5
!5
!6
!6
!7
!8
|-
|-
!1st 2L6s
! rowspan="3" |plain
!sssL-sssL
 
|Da
genchain
|Fro
 
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|Ra
|'''No'''
|La
|Pu/Sho
|Ma
|Sa
|Ta
|Flo
|Pa
|'''La'''
|Da
|-
|-
!2nd 2L6s
!intervals
!ssLs-ssLs
|d5
|Da
|m2
|Fro
|m6
|'''Ra'''
|m3
|'''Fa'''
|m7
|Pu/Sho
|P4
|Sa
|'''P1'''
|'''Flo'''
|P5
|'''Tu'''
|M2
|Da
|M6
|M3
|M7
|A4
|-
|-
!3rd 2L6s
!notes
!sLss-sLss
|Gb
|Da
|Db
|'''Fro'''
|Ab
|'''Mu'''
|Eb
|Fa
|Bb
|Pu/Sho
|F
|'''Sa'''
|'''C'''
|'''Tha'''
|G
|Tu
|D
|Da
|A
|E
|B
|F#
|-
|-
!4th 2L6s
| colspan="15" |
!Lsss-Lsss
|Da
|'''Na'''
|Mu
|Fa
|Pu/Sho
|'''Lu'''
|Tha
|Tu
|Da
|}
{| class="wikitable center-all"
|+
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
|-
!1st 2L8s
! rowspan="3" |up/down
!ssssL-ssssL
 
|Da
genchain
|Fro
 
|Ra
perspan = ±1
|No
!solfege
|'''Ma'''
|Do
|Pu/Sho
|So
|Sa
|Ro
|Flo
|Lo
|La
|Mo
|'''Tho'''
|To
|Da
|Po/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
|-
!2nd 2L8s
!intervals
!sssLs-sssLs
|v8
|Da
|v5
|Fro
|vM2
|Ra
|vM6
|'''No'''
|vM3
|'''Fa'''
|vM7
|Pu/Sho
|vA4/^d5
|Sa
|^m2
|Flo
|^m6
|'''La'''
|^m3
|'''Tu'''
|^m7
|Da
|^4
|^1
|-
|-
!3rd 2L8s
!notes
!ssLss-ssLss
|vC
|Da
|vG
|Fro
|vD
|'''Ra'''
|vA
|'''Mu'''
|vE
|Fa
|vB
|Pu/Sho
|vF#/^Gb
|Sa
|^Db
|'''Flo'''
|^Ab
|'''Tha'''
|^Eb
|Tu
|^Bb
|Da
|^F
|^C
|}
{| class="wikitable center-all"
|+
'''solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down) [[mingen]] format'''
|-
|-
!4th 2L8s
! colspan="2" |genspan ('''gen = vA1/^m2''')
!sLsss-sLsss
!-6
|Da
!-5
|'''Fro'''
!-4
|'''Na'''
!-3
|Mu
!-2
|Fa
!-1
|Pu/Sho
!0
|'''Sa'''
!1
|'''Lu'''
!2
|Tha
!3
|Tu
!4
|Da
!5
!6
|-
|-
!5th 2L8s
! rowspan="3" |Da's
!Lssss-Lssss
 
|Da
genchain
|'''Ru'''
 
|Na
perspan = 0
|Mu
!solfege
|Fa
|Sha
|Pu/Sho
|So
|'''Fla'''
|Fla
|Lu
|Lo
|Tha
|Tha
|Tu
|To
|Da
|'''Da'''
|}
|Fru
{| class="wikitable center-all"
|+
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 2L10s
!sssssL-sssssL
|Da
|Fro
|Ra
|Ra
|No
|Nu
|Ma
|Ma
|'''Fo'''
|Fu
|Pu/Sho
|Pa
|Sa
|Flo
|La
|Tho
|'''Ta'''
|Da
|-
|-
!2nd 2L10s
!intervals
!ssssLs-ssssLs
|d5
|Da
|v5
|Fro
|m6
|Ra
|vM6
|No
|m7
|'''Ma'''
|vM7
|'''Fa'''
|'''P1'''
|Pu/Sho
|^m2
|Sa
|M2
|Flo
|^m3
|La
|M3
|'''Tho'''
|^4
|'''Tu'''
|A4
|Da
|-
|-
!3rd 2L10s
!notes
!sssLss-sssLss
|Gb
|Da
|vG
|Fro
|Ab
|Ra
|vA
|'''No'''
|Bb
|'''Mu'''
|vB
|Fa
|'''C'''
|Pu/Sho
|^Db
|Sa
|D
|Flo
|^Eb
|'''La'''
|E
|'''Tha'''
|^F
|Tu
|F#
|Da
|-
|-
!4th 2L10s
| colspan="15" |
!ssLsss-ssLsss
|Da
|Fro
|'''Ra'''
|'''Na'''
|Mu
|Fa
|Pu/Sho
|Sa
|'''Flo'''
|'''Lu'''
|Tha
|Tu
|Da
|-
|-
!5th 2L10s
! rowspan="3" |Sa's
!sLssss-sLssss
 
|Da
genchain
|'''Fro'''
 
|'''Ru'''
perspan = ±1
!solfege
|Do
|Fra
|Ro
|Na
|Na
|Mu
|Mo
|Fa
|Fa
|Pu/Sho
|Po/Shu
|'''Sa'''
|Sa
|'''Fla'''
|Flu
|Lu
|La
|Tha
|Thu
|Tu
|Ta
|Da
|Du
|-
|-
!6th 2L10s
!intervals
!Lsssss-Lsssss
|v8
|Da
|m2
|'''Fra'''
|vM2
|Ru
|m3
|Na
|vM3
|Mu
|P4
|Fa
|vA4/^d5
|Pu/Sho
|P5
|'''Su'''
|^m6
|Fla
|M6
|Lu
|^m7
|Tha
|M7
|Tu
|^1
|Da
|-
!notes
|vC
|Db
|vD
|Eb
|vE
|F
|vF#/^Gb
|G
|^Ab
|A
|^Bb
|B
|^C
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
12L2s MOS scales using solfege #2 (L = ^A1/vm2, s = ^1) -- P5 must be < 700¢, or s will be < 0¢
2L6s MOS scales using solfege #1 (L = m3/vvA2, s = vA1/^m2)
 
if P5 > 5\8 = 750¢, swap L and s to get 6L2s
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!0
!
!1
!2nd
!2
!
!3
!3rd
!4
!
!5
!4th
!6
!
!7
!5th
!8
!
!6th
!
!7th
!
!8ve
|-
|-
!1st 12L2s
!1st 2L6s
!LLLLLLs-LLLLLLs
!sssL-sssL
|Da
|Da
|Fro
|Fru
|Ra
|Ra
|No
|'''Nu'''
|Ma
|Po/Shu
|Fo
|'''Pa'''
|Pu/Sho
|Sa
|Sa
|Flo
|Flu
|La
|'''La'''
|Tho
|Ta
|'''Do'''
|Da
|Da
|-
|-
!2nd 12L2s
!2nd 2L6s
!LLLLLsL-LLLLLsL
!ssLs-ssLs
|Da
|Da
|Fro
|Fru
|Ra
|'''Ra'''
|No
|Ma
|'''Fo'''
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Po/Shu
|Sa
|Sa
|Flo
|'''Flu'''
|La
|'''To'''
|Tho
|'''Ta'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 12L2s
!3rd 2L6s
!LLLLsLL-LLLLsLL
!sLss-sLss
|Da
|Da
|Fro
|'''Fru'''
|Ra
|'''Mo'''
|No
|'''Ma'''
|'''Mu'''
|Fa
|Fa
|Pu/Sho
|Po/Shu
|Sa
|'''Sa'''
|Flo
|La
|'''Tho'''
|'''Tha'''
|'''Tha'''
|Tu
|To
|Da
|Da
|-
|-
!4th 12L2s
!4th 2L6s
!LLLsLLL-LLLsLLL
!Lsss-Lsss
|Da
|Da
|Fro
|Ra
|'''No'''
|'''Na'''
|'''Na'''
|Mu
|Mo
|Fa
|Fa
|Pu/Sho
|Po/Shu
|Sa
|'''Lo'''
|Flo
|'''La'''
|'''Lu'''
|Tha
|Tha
|Tu
|To
|Da
|Da
|}
{| class="wikitable center-all"
|+
2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
if P5 > 3\5 = 720¢, swap L and s to get 8L2s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
|-
!5th 12L2s
!1st 2L8s
!LLsLLLL-LLsLLLL
!ssssL-ssssL
|Da
|Da
|Fro
|Fru
|'''Ra'''
|Ra
|'''Ru'''
|Nu
|Na
|'''Ma'''
|Mu
|Po/Shu
|Fa
|Pu/Sho
|Sa
|Sa
|'''Flo'''
|Flu
|'''Fla'''
|La
|Lu
|'''Thu'''
|Tha
|Da
|Tu
|-
!2nd 2L8s
!sssLs-sssLs
|Da
|Fru
|Ra
|'''Nu'''
|'''Fa'''
|Po/Shu
|Sa
|Flu
|'''La'''
|'''To'''
|Da
|-
!3rd 2L8s
!ssLss-ssLss
|Da
|Fru
|'''Ra'''
|'''Mo'''
|Fa
|Po/Shu
|Sa
|'''Flu'''
|'''Tha'''
|To
|Da
|Da
|-
|-
!6th 12L2s
!4th 2L8s
!LsLLLLL-LsLLLLL
!sLsss-sLsss
|Da
|Da
|'''Fro'''
|'''Fru'''
|'''Fra'''
|'''Na'''
|Ru
|Mo
|Na
|Mu
|Fa
|Fa
|Pu/Sho
|Po/Shu
|'''Sa'''
|'''Sa'''
|'''Su'''
|'''Lo'''
|Fla
|Lu
|Tha
|Tha
|Tu
|To
|Da
|Da
|-
|-
!7th 12L2s
!5th 2L8s
!sLLLLLL-sLLLLLL
!Lssss-Lssss
|Da
|Da
|'''Du'''
|'''Ro'''
|Fra
|Ru
|Na
|Na
|Mu
|Mo
|Fa
|Fa
|Pu/Sho
|Po/Shu
|'''Sha'''
|'''Fla'''
|Su
|Lo
|Fla
|Lu
|Tha
|Tha
|Tu
|To
|Da
|Da
|}
|}


=== Solfege #3 (EI = vvM2) ===
* P = ^4/v5 = 600¢
* G = ^1 = vM2 = 100¢ + c
* EI = vvM2 = 0¢
* ^ = 100¢ + c
* # = 100¢ + 7c
Doesn't tip.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege #3 (-a = plain, -u = up, -o = down)'''
10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
|-
![[Genchain mode numbering|GMN]] name
! colspan="2" |genspan ('''gen = P5''')
!scale
!-6
!1sn
!-5
! colspan="2" |2nds
!-4
! colspan="2" |3rds
!-3
!4th
!-2
!tritone
!-1
!5th
!0
! colspan="2" |6ths
!1
! colspan="2" |7ths
!2
!8ve
!3
!4
!5
!6
|-
|-
! rowspan="3" |plain
!1st 10L2s
 
!LLLLLs-LLLLLs
genchain
|Da
 
|Fru
perspan = 0
|Ra
!solfege
|Nu
|Sha
|Ma
|Fra
|'''Fu'''
|Fla
|Shu
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Sa
|Flu
|La
|Thu
|'''Ta'''
|Da
|-
!2nd 10L2s
!LLLLsL-LLLLsL
|Da
|Fru
|Ra
|Ra
|Nu
|'''Ma'''
|'''Fa'''
|Po/Shu
|Sa
|Flu
|La
|La
|Ma
|'''Thu'''
|Ta
|'''To'''
|Pa
|Da
|-
|-
!intervals
!3rd 10L2s
|d5
!LLLsLL-LLLsLL
|m2
|Da
|m6
|Fru
|m3
|Ra
|m7
|'''Nu'''
|P4
|'''Mo'''
|'''P1'''
|Fa
|P5
|Po/Shu
|M2
|Sa
|M6
|Flu
|M3
|'''La'''
|M7
|'''Tha'''
|A4
|To
|Da
|-
|-
!notes
!4th 10L2s
|Gb
!LLsLLL-LLsLLL
|Db
|Da
|Ab
|Fru
|Eb
|'''Ra'''
|Bb
|'''Na'''
|F
|Mo
|'''C'''
|Fa
|G
|Po/Shu
|D
|Sa
|A
|'''Flu'''
|E
|'''Lo'''
|B
|Tha
|F#
|To
|Da
|-
|-
| colspan="15" |
!5th 10L2s
!LsLLLL-LsLLLL
|Da
|'''Fru'''
|'''Ro'''
|Na
|Mo
|Fa
|Po/Shu
|'''Sa'''
|'''Fla'''
|Lo
|Tha
|To
|Da
|-
|-
! rowspan="3" |up/down
!6th 10L2s
!sLLLLL-sLLLLL
|Da
|'''Fra'''
|Ro
|Na
|Mo
|Fa
|Po
|'''So'''
|Fla
|Lo
|Tha
|To
|Da
|}


genchain
=== Solfege #2 (P5 < 700¢) ===
 
{| class="wikitable center-all"
perspan = ±1
|+
!solfege
'''solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
|Fro
|Shu/Flo
|Fru/No
|Flu/Tho
|Nu/Fo
|Thu/Do
|Fu/So
|Du/Ro
|Su/Lo
|Ru/Mo
|Lu/To
|Mu/Po
|Tu
|-
|-
!intervals
! colspan="2" |genspan ('''gen = P5''')
|vm2
|^d5/vm6
|^m2/vm3
|^m6/vm7
|^m3/v4
|^m7/v8
|^4/v5
|^1/vM2
|^5/vM6
|^M2/vM3
|^M6/vM7
|^M3/vA4
|^M7
|-
!notes
|vDb
|^Gb/vAb
|^Db/vEb
|^Ab/vBb
|^Eb/vF
|^Bb/vC
|^F/vG
|^C/vD
|^G/vA
|^D/vE
|^A/vB
|^E/vF#
|^B
|}
{| class="wikitable center-all"
|+
'''solfege #3 (-a = plain, -u = up, -o = down) [[mingen]] format'''
|-
! colspan="2" |genspan ('''gen = vA1/^m2''')
!-6
!-6
!-5
!-5
Line 11,295: Line 11,011:
!6
!6
|-
|-
! rowspan="3" |Da's
! rowspan="3" |plain


genchain
genchain
Line 11,302: Line 11,018:
!solfege
!solfege
|Sha
|Sha
|Shu/Flo
|Fra
|Fla
|Fla
|Flu/Tho
|Na
|Tha
|Tha
|Thu/Do
|Fa
|'''Da'''
|'''Da'''
|Du/Ro
|Sa
|Ra
|Ra
|Ru/Mo
|La
|Ma
|Ma
|Mu/Po
|Ta
|Pa
|Pa
|-
|-
!intervals
!intervals
|d5
|d5
|^d5/vm6
|m2
|m6
|m6
|^m6/vm7
|m3
|m7
|m7
|^m7/v8
|P4
|'''P1'''
|'''P1'''
|^1/vM2
|P5
|M2
|M2
|^M2/vM3
|M6
|M3
|M3
|^M3/vA4
|M7
|A4
|A4
|-
|-
!notes
!notes
|Gb
|Gb
|^Gb/vAb
|Db
|Ab
|Ab
|^Ab/vBb
|Eb
|Bb
|Bb
|^Bb/vC
|F
|'''C'''
|'''C'''
|^C/vD
|G
|D
|D
|^D/vE
|A
|E
|E
|^E/vF#
|B
|F#
|F#
|-
|-
| colspan="15" |
| colspan="15" |
|-
|-
! rowspan="3" |Sa's
! rowspan="3" |up/down


genchain
genchain
Line 11,353: Line 11,069:
perspan = ±1
perspan = ±1
!solfege
!solfege
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Sho
|Fro
|Fro
|Fra
|Flo
|Fru/No
|No
|Na
|Tho
|Nu/Fo
|Fo
|Fa
|Do
|Fu/So
|Sa
|Su/Lo
|La
|Lu/To
|Ta
|Tu
|-
|-
!intervals
!intervals
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|^A4/vd5
|vm2
|vm2
|m2
|vm6
|^m2/vm3
|vm3
|m3
|vm7
|^m3/v4
|v4
|P4
|v8
|^4/v5
|P5
|^5/vM6
|M6
|^M6/vM7
|M7
|^M7
|-
|-
!notes
!notes
|^C
|^G
|^D
|^A
|^E
|^B
|^F#/vGb
|vDb
|vDb
|Db
|vAb
|^Db/vEb
|vEb
|Eb
|vBb
|^Eb/vF
|vF
|F
|vC
|^F/vG
|G
|^G/vA
|A
|^A/vB
|B
|^B
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
10L2s MOS scales using solfege #3 (L = ^A1 = vM2, s = m2 = rhymes)
'''solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down) [[mingen]] format'''
 
if P5 < 7\12 = 700¢, swap L and s to get 2L10s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
|-
!1st 10L2s
! colspan="2" |genspan (gen = ^A1/vm2)
!LLLLLs-LLLLLs
!-6
|Da
!-5
|Du/Ro
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |Da's
 
genchain
 
perspan = 0
!solfege
|Sha
|Su
|Fla
|Lu
|Tha
|Tu
|'''Da'''
|Fro
|Ra
|Ra
|Ru/Mo
|No
|Ma
|Ma
|'''Mu/Po'''
|Fo
|Fu/So
|Pa
|-
!intervals
|d5
|^5
|m6
|^M6
|m7
|^M7
|'''P1'''
|vm2
|M2
|vm3
|M3
|v4
|A4
|-
!notes
|Gb
|^G
|Ab
|^A
|Bb
|^B
|'''C'''
|vDb
|D
|vEb
|E
|vF
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
 
genchain
 
perspan = ±1
!solfege
|Du
|Fra
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|Sa
|Sa
|Su/Lo
|Flo
|La
|La
|Lu/To
|Tho
|'''Ta'''
|Ta
|Da
|Do
|-
|-
!2nd 10L2s
!intervals
!LLLLsL-LLLLsL
|^1
|Da
|m2
|Du/Ro
|^M2
|Ra
|m3
|Ru/Mo
|^M3
|'''Ma'''
|P4
|'''Fa'''
|^A4/vd5
|Fu/So
|P5
|Sa
|vm6
|Su/Lo
|M6
|La
|vm7
|'''Lu/To'''
|M7
|'''Thu/Do'''
|v8
|Da
|-
!notes
|^C
|Db
|^D
|Eb
|^E
|F
|^F#/vGb
|G
|vAb
|A
|vBb
|B
|vC
|}
{| class="wikitable center-all"
|+
2L6s MOS scales using solfege #2 (L = m3/^^A2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
|-
!3rd 10L2s
!1st 2L6s
!LLLsLL-LLLsLL
!sssL-sssL
|Da
|Da
|Du/Ro
|Fro
|Ra
|Ra
|'''Ru/Mo'''
|'''No'''
|'''Nu/Fo'''
|Pu/Sho
|Fa
|Fu/So
|Sa
|Sa
|Su/Lo
|Flo
|'''La'''
|'''La'''
|'''Tha'''
|Thu/Do
|Da
|Da
|-
|-
!4th 10L2s
!2nd 2L6s
!LLsLLL-LLsLLL
!ssLs-ssLs
|Da
|Da
|Du/Ro
|Fro
|'''Ra'''
|'''Ra'''
|'''Na'''
|'''Fa'''
|Nu/Fo
|Pu/Sho
|Fa
|Fu/So
|Sa
|Sa
|'''Su/Lo'''
|'''Flo'''
|'''Flu/Tho'''
|'''Tu'''
|Tha
|Thu/Do
|Da
|Da
|-
|-
!5th 10L2s
!3rd 2L6s
!LsLLLL-LsLLLL
!sLss-sLss
|Da
|Da
|'''Du/Ro'''
|'''Fro'''
|'''Fru/No'''
|'''Mu'''
|Na
|Nu/Fo
|Fa
|Fa
|Fu/So
|Pu/Sho
|'''Sa'''
|'''Sa'''
|'''Fla'''
|'''Tha'''
|Flu/Tho
|Tu
|Tha
|Thu/Do
|Da
|Da
|-
|-
!6th 10L2s
!4th 2L6s
!sLLLLL-sLLLLL
!Lsss-Lsss
|Da
|Da
|'''Fra'''
|'''Na'''
|Fru/No
|Mu
|Na
|Nu/Fo
|Fa
|Fa
|Fu/So
|Pu/Sho
|'''Shu/Flo'''
|'''Lu'''
|Fla
|Flu/Tho
|Tha
|Tha
|Thu/Do
|Tu
|Da
|Da
|}
|}
== #3 (P8, P4/2) half-4th ==
* G = ^M2/vm3 = 250¢ - c/2
* EI = vvm2 = 0¢
* ^ = 50¢ - 2.5c = 5G - P
MOS scales covered:
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 9 = 5L4s or 4L5s (P5 < 5\9 = 667¢)
* 14 = 9L5s or 5L9s (P5 < 4\7 = 686¢)
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege (-a = plain, -u = up, -o = down)'''
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!
!tritone
!
!6th
!
!7th
!8ve
|-
!1st 2L8s
!ssssL-ssssL
|Da
|Fro
|Ra
|No
|'''Ma'''
|Pu/Sho
|Sa
|Flo
|La
|'''Tho'''
|Da
|-
|-
!genspan
!2nd 2L8s
!13
!sssLs-sssLs
!12
|Da
!11
|Fro
!10
|Ra
!9
|'''No'''
!8
|'''Fa'''
!7
|Pu/Sho
!6
|Sa
!5
|Flo
!4
|'''La'''
!3
|'''Tu'''
!2
|Da
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
!solfege
!3rd 2L8s
|Flu
!ssLss-ssLss
|Sha
|Da
|Nu
|Fro
|Fra
|'''Ra'''
|Thu
|'''Mu'''
|Fla
|Fu
 
Sho
|Na
|Du
 
Fro
|Tha
|Su
 
Flo
|Fa
|Fa
|Ru
|Pu/Sho
 
No
|'''Da'''
|Lu
 
Tho
|Sa
|Sa
|'''Flo'''
|'''Tha'''
|Tu
|Da
|-
!4th 2L8s
!sLsss-sLsss
|Da
|'''Fro'''
|'''Na'''
|Mu
|Mu
 
|Fa
Fo
|Pu/Sho
|Ra
|'''Sa'''
|'''Lu'''
|Tha
|Tu
|Tu
 
|Da
Do
|La
|Pu
 
So
|Ma
|Ro
|Ta
|Lo
|Pa
|Mo
|-
|-
!intervals
!5th 2L8s
|^m6
!Lssss-Lssss
|d5
|Da
|^m3
|'''Ru'''
|m2
|Na
|^m7
|Mu
|m6
|Fa
|^4
|Pu/Sho
 
|'''Fla'''
vd5
|Lu
|m3
|Tha
|^1
|Tu
 
|Da
vm2
|}
|m7
{| class="wikitable center-all"
|^5
|+
 
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
vm6
![[Genchain mode numbering|GMN]] name
|P4
!scale
|^M2
!1sn
 
! colspan="2" |2nds
vm3
! colspan="2" |3rds
|'''P1'''
!4th
|^M6
!tritone
 
!5th
vm7
! colspan="2" |6ths
|P5
! colspan="2" |7ths
|^M3
!8ve
 
v4
|M2
|^M7
 
v8
|M6
|^A4
 
v5
|M3
|vM2
|M7
|vM6
|A4
|vM3
|-
|-
!notes
!1st 2L10s
|^Ab
!sssssL-sssssL
|Gb
|Da
|^Eb
|Fro
|Db
|Ra
|^Bb
|No
|Ab
|Ma
|^F
|'''Fo'''
 
|Pu/Sho
vGb
|Sa
|Eb
|Flo
|^C
|La
 
|Tho
vDb
|'''Ta'''
|Bb
|Da
|^G
 
vAb
|F
|^D
 
vEb
|'''C'''
|^A
 
vBb
|G
|^E
 
vF
|D
|^B
 
vC
|A
|^F#
 
vG
|E
|vD
|B
|vA
|F#
|vE
|}
{| class="wikitable center-all"
|+
4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
|-
!1st 4L1s
!2nd 2L10s
!sLLLL
!ssssLs-ssssLs
|Da
|Da
|'''Ra'''
|Fro
|Mu/Fo
|Ra
|No
|'''Ma'''
|'''Fa'''
|Pu/Sho
|Sa
|Sa
|Lu/Tho
|Flo
|La
|'''Tho'''
|'''Tu'''
|Da
|Da
|-
|-
!2nd 4L1s
!3rd 2L10s
!LsLLL
!sssLss-sssLss
|Da
|Da
|'''Ru/No'''
|Fro
|'''Mu/Fo'''
|Ra
|'''No'''
|'''Mu'''
|Fa
|Pu/Sho
|Sa
|Sa
|Lu/Tho
|Flo
|'''La'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!3rd 4L1s
!4th 2L10s
!LLsLL
!ssLsss-ssLsss
|Da
|Da
|Ru/No
|Fro
|'''Fa'''
|'''Ra'''
|'''Sa'''
|'''Na'''
|Lu/Tho
|Mu
|Fa
|Pu/Sho
|Sa
|'''Flo'''
|'''Lu'''
|Tha
|Tu
|Da
|Da
|-
|-
!4th 4L1s
!5th 2L10s
!LLLsL
!sLssss-sLssss
|Da
|Da
|Ru/No
|'''Fro'''
|'''Ru'''
|Na
|Mu
|Fa
|Fa
|'''Su/Flo'''
|Pu/Sho
|'''Lu/Tho'''
|'''Sa'''
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!5th 4L1s
!6th 2L10s
!LLLLs
!Lsssss-Lsssss
|Da
|Da
|Ru/No
|'''Fra'''
|Ru
|Na
|Mu
|Fa
|Fa
|Su/Flo
|Pu/Sho
|'''Tha'''
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
12L2s MOS scales using solfege #2 (L = ^A1/vm2, s = ^1) -- P5 must be < 700¢, or s will be < 0¢
 
if P5 < 5\9 = 667¢, swap L and s to get 4L5s
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!1sn
!1
!
!2
!2nd
!3
!
!4
!3rd
!5
!
!6
!4th
!7
!
!8
!5th
!9
!
!6th
!
!7th
!
!8ve
|-
|-
!1st 5L4s
!1st 12L2s
!LLsLsLsLs
!LLLLLLs-LLLLLLs
|Da
|Da
|Fro
|Ra
|Ra
|'''Ma'''
|No
|Mu/Fo
|Ma
|Pu/So
|Fo
|'''Pa'''
|Pu/Sho
|Sa
|Sa
|Flo
|La
|La
|Lu/Tho
|Tho
|Tu/Do
|Ta
|'''Do'''
|Da
|Da
|-
|-
!2nd 5L4s
!2nd 12L2s
!LsLLsLsLs
!LLLLLsL-LLLLLsL
|Da
|Da
|Fro
|Ra
|Ra
|'''Ru/No'''
|No
|Mu/Fo
|Ma
|'''Pu/So'''
|'''Fo'''
|'''Fa'''
|Pu/Sho
|Sa
|Sa
|Flo
|La
|La
|Lu/Tho
|Tho
|Tu/Do
|'''Ta'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 5L4s
!3rd 12L2s
!LsLsLLsLs
!LLLLsLL-LLLLsLL
|Da
|Da
|Fro
|Ra
|Ra
|Ru/No
|No
|Mu/Fo
|'''Ma'''
|'''Fa'''
|'''Mu'''
|Fa
|Pu/Sho
|Sa
|Sa
|'''La'''
|Flo
|Lu/Tho
|La
|Tu/Do
|'''Tho'''
|'''Tha'''
|Tu
|Da
|Da
|-
|-
!4th 5L4s
!4th 12L2s
!LsLsLsLLs
!LLLsLLL-LLLsLLL
|Da
|Da
|Fro
|Ra
|Ra
|Ru/No
|'''No'''
|Mu/Fo
|'''Na'''
|Mu
|Fa
|Fa
|Pu/Sho
|Sa
|Sa
|'''Su/Flo'''
|Flo
|Lu/Tho
|'''La'''
|'''Tu/Do'''
|'''Lu'''
|Tha
|Tu
|Da
|Da
|-
|-
!5th 5L4s
!5th 12L2s
!LsLsLsLsL
!LLsLLLL-LLsLLLL
|Da
|Da
|Fro
|'''Ra'''
|'''Ra'''
|Ru/No
|'''Ru'''
|Mu/Fo
|Na
|Mu
|Fa
|Fa
|Pu/Sho
|Sa
|Sa
|Su/Flo
|'''Flo'''
|Lu/Tho
|'''Fla'''
|'''Tha'''
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!6th 5L4s
!6th 12L2s
!sLLsLsLsL
!LsLLLLL-LsLLLLL
|Da
|Da
|'''Du/Fro'''
|'''Fro'''
|Ru/No
|'''Fra'''
|'''Mu/Fo'''
|Ru
|Fa
|Na
|Sa
|Mu
|Su/Flo
|Lu/Tho
|Tha
|Da
|-
!7th 5L4s
!sLsLLsLsL
|Da
|Du/Fro
|Ru/No
|'''Na'''
|Fa
|Fa
|Pu/Sho
|'''Sa'''
|'''Sa'''
|Su/Flo
|'''Su'''
|Lu/Tho
|Fla
|Lu
|Tha
|Tha
|Tu
|Da
|Da
|-
|-
!8th 5L4s
!7th 12L2s
!sLsLsLLsL
!sLLLLLL-sLLLLLL
|Da
|Da
|Du/Fro
|'''Du'''
|Ru/No
|Fra
|Ru
|Na
|Na
|Mu
|Fa
|Fa
|'''Fu/Sho'''
|Pu/Sho
|Su/Flo
|'''Sha'''
|'''Lu/Tho'''
|Su
|Tha
|Fla
|Da
|Lu
|-
!9th 5L4s
!sLsLsLsLL
|Da
|Du/Fro
|Ru/No
|Na
|Fa
|Fu/Sho
|Su/Flo
|'''Fla'''
|Tha
|Tha
|Tu
|Da
|Da
|}
|}
== #4 (P8, P5/2) half-5th (list alternate pergens) ==
* G = ^m3/vM3 = ~3 = 350¢ + c/2
* EI = vvA1 = 0¢
* ^ = 50¢ + 3.5c = 7G - 2P


MOS scales covered:
=== Solfege #3 (EU = vvM2) ===


* 7 = 3L4s (and 4L3s if P5 < 4\7 = 686¢)
* P = ^4/v5 = 600¢
* 10 = 7L3s (and 3L7s if P5 > 3\5 = 720¢)
* G = ^1 = vM2 = 100¢ + c
* 13 = 10L3s (if P5 > 3\5 = 720¢) and 3L10s (if P5 > 8\13)
* EU = vvM2 = 0¢
* ^ = 100¢ + c
* # = 100¢ + 7c


Doesn't tip.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege (-a = plain, -u = up, -o = down)'''
'''solfege #3 (-a = plain, -u = up, -o = down)'''
|-
|-
!genspan
! colspan="2" |genspan ('''gen = P5''')
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-6
!-5
!-5
Line 11,918: Line 11,670:
!5
!5
!6
!6
!7
!8
!9
!10
!11
!12
!13
|-
|-
! rowspan="3" |plain
genchain
perspan = 0
!solfege
!solfege
|No
|Sha
|Sha
|Tho
|Fra
|Fra
|Fo
|Fla
|Fla
|Do
|Na
|Na
|So
Shu
|Tha
|Tha
|Ro
Fru
|Fa
|Fa
|Lo
Flu
|'''Da'''
|'''Da'''
|Mo
Nu
|Sa
|Sa
|To
Thu
|Ra
|Ra
|Po
Fu
|La
|La
|Du
|Ma
|Ma
|Su
|Ta
|Ta
|Ru
|Pa
|Pa
|Lu
|-
|-
!intervals
!intervals
|vm3
|d5
|d5
|vm7
|m2
|m2
|v4
|m6
|m6
|v8
|m3
|m3
|~5
|m7
|m7
|~2
|P4
|P4
|~6
|'''P1'''
|'''P1'''
|~3
|P5
|P5
|~7
|M2
|M2
|~4
|M6
|M6
|^1
|M3
|M3
|^5
|M7
|M7
|^M2
|A4
|A4
|^M6
|-
|-
!notes
!notes
|vEb
|Gb
|Gb
|vBb
|Db
|Db
|vF
|Ab
|Ab
|vC
|Eb
|Eb
|^Gb
vG
|Bb
|Bb
|^Db
vD
|F
|F
|^Ab
vA
|'''C'''
|'''C'''
|^Eb
vE
|G
|G
|^Bb
vB
|D
|D
|^F
vF#
|A
|A
|^C
|E
|E
|^G
|B
|B
|^D
|F#
|F#
|^A
|-
|}
| colspan="15" |
for 7-note scales, up notes aren't needed, because every up note can be sung as a down note.
|-
{| class="wikitable center-all"
! rowspan="3" |up/down
|+
 
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
genchain


if P5 < 4\7 = 686¢, swap L and s to get 4L3s
perspan = ±1
![[Genchain mode numbering|GMN]] name
!solfege
!scale
|Fro
!1sn
|Shu/Flo
!2nd
|Fru/No
!3rd
|Flu/Tho
!4th
|Nu/Fo
!5th
|Thu/Do
!6th
|Fu/So
!7th
|Du/Ro
!8ve
|Su/Lo
|Ru/Mo
|Lu/To
|Mu/Po
|Tu
|-
|-
!1st 3L4s
!intervals
!LsLsLss
|vm2
|Da
|^d5/vm6
|Ra
|^m2/vm3
|Mo
|^m6/vm7
|Po
|^m3/v4
|Sa
|^m7/v8
|'''La'''
|^4/v5
|To
|^1/vM2
|Da
|^5/vM6
|^M2/vM3
|^M6/vM7
|^M3/vA4
|^M7
|-
|-
!2nd 3L4s
!notes
!LsLssLs
|vDb
|Da
|^Gb/vAb
|Ra
|^Db/vEb
|Mo
|^Ab/vBb
|'''Po'''
|^Eb/vF
|Sa
|^Bb/vC
|'''Lo'''
|^F/vG
|To
|^C/vD
|Da
|^G/vA
|^D/vE
|^A/vB
|^E/vF#
|^B
|}
{| class="wikitable center-all"
|+
'''solfege #3 (-a = plain, -u = up, -o = down) [[mingen]] format'''
|-
|-
!3rd 3L4s
! colspan="2" |genspan ('''gen = vA1/^m2''')
!LssLsLs
!-6
|Da
!-5
|'''Ra'''
!-4
|Mo
!-3
|'''Fa'''
!-2
|Sa
!-1
|Lo
!0
|To
!1
|Da
!2
!3
!4
!5
!6
|-
|-
!4th 3L4s
! rowspan="3" |Da's
!sLsLsLs
 
|Da
genchain
|'''Ro'''
 
|Mo
perspan = 0
|Fa
!solfege
|Sa
|Sha
|Lo
|Shu/Flo
|'''To'''
|Fla
|Da
|Flu/Tho
|-
!5th 3L4s
!sLsLssL
|Da
|Ro
|Mo
|Fa
|'''Sa'''
|Lo
|'''Tha'''
|Da
|-
!6th 3L4s
!sLssLsL
|Da
|Ro
|'''Mo'''
|Fa
|'''So'''
|Lo
|Tha
|Tha
|Da
|Thu/Do
|-
|'''Da'''
!7th 3L4s
|Du/Ro
!ssLsLsL
|Da
|Ro
|'''Na'''
|Fa
|So
|Lo
|Tha
|Da
|}
For 10-note scales, both up notes and down notes are needed.
{| class="wikitable center-all"
|+7L3s MOS scales (L = ^m2 = vM2 = different degree, s = ^1 = vA1 = same degree)
if P5 > 3\5 = 720¢, swap L and s to get 3L7s
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
|-
!1st 7L3s
!sLLsLLsLLL
|Da
|Du
|Ra
|Ra
|Nu/Mo
|Ru/Mo
|Ma
|Ma
|Fu/Po
|Mu/Po
|Sa
|Pa
|'''Su'''
|La
|Thu/To
|Da
|-
|-
!2nd 7L3s
!intervals
!sLLsLLLsLL
|d5
|Da
|^d5/vm6
|Du
|m6
|Ra
|^m6/vm7
|Nu/Mo
|m7
|'''Ma'''
|^m7/v8
|Fu/Po
|'''P1'''
|Sa
|^1/vM2
|'''Flu/Lo'''
|M2
|La
|^M2/vM3
|Thu/To
|M3
|Da
|^M3/vA4
|A4
|-
!notes
|Gb
|^Gb/vAb
|Ab
|^Ab/vBb
|Bb
|^Bb/vC
|'''C'''
|^C/vD
|D
|^D/vE
|E
|^E/vF#
|F#
|-
|-
!3rd 7L3s
| colspan="15" |
!sLLLsLLsLL
|Da
|'''Du'''
|Ra
|Nu/Mo
|'''Fa'''
|Fu/Po
|Sa
|Flu/Lo
|La
|Thu/To
|Da
|-
|-
!4th 7L3s
! rowspan="3" |Sa's
!LsLLsLLsLL
 
|Da
genchain
|'''Fru/Ro'''
 
|Ra
perspan = ±1
|Nu/Mo
!solfege
|Fro
|Fra
|Fru/No
|Na
|Nu/Fo
|Fa
|Fa
|Fu/Po
|Fu/So
|Sa
|Sa
|Flu/Lo
|Su/Lo
|'''La'''
|La
|Thu/To
|Lu/To
|Da
|Ta
|Tu
|-
|-
!5th 7L3s
!intervals
!LsLLsLLLsL
|vm2
|Da
|m2
|Fru/Ro
|^m2/vm3
|Ra
|m3
|Nu/Mo
|^m3/v4
|Fa
|P4
|'''Fu/Po'''
|^4/v5
|P5
|^5/vM6
|M6
|^M6/vM7
|M7
|^M7
|-
!notes
|vDb
|Db
|^Db/vEb
|Eb
|^Eb/vF
|F
|^F/vG
|G
|^G/vA
|A
|^A/vB
|B
|^B
|}
{| class="wikitable center-all"
|+
10L2s MOS scales using solfege #3 (L = ^A1 = vM2, s = m2 = rhymes)
 
if P5 < 7\12 = 700¢, swap L and s to get 2L10s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 10L2s
!LLLLLs-LLLLLs
|Da
|Du/Ro
|Ra
|Ru/Mo
|Ma
|'''Mu/Po'''
|Fu/So
|Sa
|Sa
|Flu/Lo
|Su/Lo
|'''Tha'''
|La
|Thu/To
|Lu/To
|'''Ta'''
|Da
|Da
|-
|-
!6th 7L3s
!2nd 10L2s
!LsLLLsLLsL
!LLLLsL-LLLLsL
|Da
|Da
|Fru/Ro
|Du/Ro
|'''Ra'''
|Ra
|Nu/Mo
|Ru/Mo
|Fa
|'''Ma'''
|'''Shu/So'''
|'''Fa'''
|Fu/So
|Sa
|Sa
|Flu/Lo
|Su/Lo
|Tha
|La
| Thu/To
|'''Lu/To'''
|'''Thu/Do'''
|Da
|Da
|-
|-
!7th 7L3s
!3rd 10L2s
! LLsLLsLLsL
!LLLsLL-LLLsLL
|Da
|Da
|Fru/Ro
|Du/Ro
|'''Na'''
|Ra
|Nu/Mo
|'''Ru/Mo'''
|'''Nu/Fo'''
|Fa
|Fa
| Shu/So
|Fu/So
|Sa
|Sa
|Flu/Lo
|Su/Lo
|Tha
|'''La'''
|'''Thu/To'''
|'''Tha'''
| Da
|Thu/Do
|Da
|-
|-
!8th 7L3s
!4th 10L2s
!LLsLLsLLLs
!LLsLLL-LLsLLL
|Da
|Da
|Fru/Ro
|Du/Ro
|Na
|'''Ra'''
|Nu/Mo
|'''Na'''
|Nu/Fo
|Fa
|Fa
|Shu/So
|Fu/So
|'''Sa'''
|Sa
|Flu/Lo
|'''Su/Lo'''
|'''Flu/Tho'''
|Tha
|Tha
|'''Do'''
|Thu/Do
|Da
|Da
|-
|-
!9th 7L3s
!5th 10L2s
!LLsLLLsLLs
!LsLLLL-LsLLLL
|Da
|Da
|Fru/Ro
|'''Du/Ro'''
|'''Fru/No'''
|Na
|Na
|'''Nu/Mo'''
|Nu/Fo
|Fa
|Fa
|Shu/So
|Fu/So
|'''Sa'''
|'''Fla'''
|'''Fla'''
|Flu/Lo
|Flu/Tho
|Tha
|Tha
|Do
|Thu/Do
|Da
|Da
|-
|-
!10th 7L3s
!6th 10L2s
!LLLsLLsLLs
!sLLLLL-sLLLLL
|Da
|Da
|Fru/Ro
|'''Fra'''
|Fru/No
|Na
|Na
|'''Fo'''
|Nu/Fo
|Fa
|Fa
|Shu/So
|Fu/So
|'''Shu/Flo'''
|Fla
|Fla
|Flu/Lo
|Flu/Tho
|Tha
|Tha
|Do
|Thu/Do
|Da
|Da
|}
|}
==#5 (P8/2, P4/2) half-everything (incomplete)==
== #3 (P8, P4/2) half-4th ==
* P = ^/4 = v\5 = 600¢
 
* G = P4/2 = ^M2 = vm3 = 250¢ - c/2
* G = ^M2/vm3 = 250¢ - c/2
* G' = P5/2 = /m3 = \M3 = 350¢ + c/2
* EU = vvm2 = 0¢
* EI's: vvm2, \\A1
* ^ = 50¢ - 2.5c = 5G - P
* ^ = 50¢ - 2.5c = 5G - P
* / = 50¢ + 3.5c = 3P - 7G
 
MOS scales covered:
MOS scales covered:
* 10 =  
 
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 9 = 5L4s or 4L5s (P5 < 5\9 = 667¢)
* 14 = 9L5s or 5L9s (P5 < 4\7 = 686¢)


{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop, -uwi = uplift, -owe = downdrop)'''
'''solfege (-a = plain, -u = up, -o = down)'''
|-
|-
!genspan
!genspan
Line 12,326: Line 12,052:
!-13
!-13
|-
|-
! rowspan="3" |plain
!solfege
 
genchain
 
 
perspan = 0
|Flu
|Flu
|Sha
|Sha
Line 12,376: Line 12,097:
|Mo
|Mo
|-
|-
!intervals
|^m6
|^m6
|d5
|d5
Line 12,420: Line 12,142:
|vM3
|vM3
|-
|-
!notes
|^Ab
|^Ab
|Gb
|Gb
Line 12,463: Line 12,186:
|F#
|F#
|vE
|vE
|}
{| class="wikitable center-all"
|+
4L1s MOS scales (L = ^M2/vm3 = no rhyme, s = M2 = rhymes)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
|-
| colspan="28" |
!1st 4L1s
!sLLLL
|Da
|'''Ra'''
|Mu/Fo
|Sa
|Lu/Tho
|Da
|-
!2nd 4L1s
!LsLLL
|Da
|'''Ru/No'''
|'''Mu/Fo'''
|Sa
|Lu/Tho
|Da
|-
!3rd 4L1s
!LLsLL
|Da
|Ru/No
|'''Fa'''
|'''Sa'''
|Lu/Tho
|Da
|-
!4th 4L1s
!LLLsL
|Da
|Ru/No
|Fa
|'''Su/Flo'''
|'''Lu/Tho'''
|Da
|-
|-
! rowspan="3" |lift/drop
!5th 4L1s
!LLLLs
|Da
|Ru/No
|Fa
|Su/Flo
|'''Tha'''
|Da
|}
{| class="wikitable center-all"
|+
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)


genchain
if P5 < 5\9 = 667¢, swap L and s to get 4L5s
 
![[Genchain mode numbering|GMN]] name
 
!scale
perspan = ±1
!0
|Ne
!1
|Frowe
!2
|The
!3
|Shuwi
!4
Flowe
!5
|Fe
!6
|Fruwi
!7
Nowe
!8
|De
!9
|Fluwi
|-
Thowe
!1st 5L4s
|Shi
!LLsLsLsLs
Se
|Da
|Nuwi
|Ra
Fowe
|'''Ma'''
|Fri
|Mu/Fo
Re
|Pu/So
|Thuwi
|Sa
Dowe
|La
|Fli
|Lu/Tho
Le
|Tu/Do
|Fuwi
|Da
Sowe
|Ni
Me
|Duwi
Rowe
|Thi
Te
|Suwi
Lowe
|Fi
Pe
|Ruwi
Mowe
|Di
|Luwi
Towe
|Si
|Muwi
Powe
|Ri
|Tuwi
|Li
|-
|-
|\m3
!2nd 5L4s
|v\m2
!LsLLsLsLs
|\m7
|Da
|^/d5
|Ra
v\m6
|'''Ru/No'''
|\4
|Mu/Fo
|^/m2
|'''Pu/So'''
v\m3
|Sa
|\8
|La
|^/m6
|Lu/Tho
v\m7
|Tu/Do
|\5
|Da
|^/m3
|-
v\4
!3rd 5L4s
|/m2
!LsLsLLsLs
\M2
|Da
|^/m7
|Ra
v\8
|Ru/No
|/m6
|Mu/Fo
\M6
|'''Fa'''
|^/4
|Sa
v\5
|'''La'''
|/m3
|Lu/Tho
\M3
|Tu/Do
|^/1
|Da
v\M2
|-
|/m7
!4th 5L4s
\M7
!LsLsLsLLs
|^/5
|Da
v\M6
|Ra
|/4
|Ru/No
\A4
|Mu/Fo
|^/M2
|Fa
v\M3
|Sa
|/1
|'''Su/Flo'''
|^/M6
|Lu/Tho
v\M7
|'''Tu/Do'''
|/5
|Da
|^/M3
v\A4
|/M2
|^/M7
|/M6
|-
|-
|\Eb
!5th 5L4s
|vDb
!LsLsLsLsL
|\Bb
|Da
|^/Gb
|'''Ra'''
v\Ab
|Ru/No
|\F
|Mu/Fo
|^/Db
|Fa
v\Eb
|Sa
|\C
|Su/Flo
|^/Ab
|Lu/Tho
v\Bb
|'''Tha'''
|/Gb
|Da
\G
|-
|^/Eb
!6th 5L4s
v\F
!sLLsLsLsL
|/Db
|Da
\D
|'''Du/Fro'''
|^/Bb
|Ru/No
v\C
|'''Mu/Fo'''
|/Ab
|Fa
\A
|Sa
|^/F
|Su/Flo
v\G
|Lu/Tho
|/Eb
|Tha
\E
|Da
|^/C
|-
v\D
!7th 5L4s
|/Bb
!sLsLLsLsL
\B
|Da
|^/G
|Du/Fro
v\A
|Ru/No
|/F
|'''Na'''
\F#
|Fa
|^/D
|'''Sa'''
v\E
|Su/Flo
|/C
|Lu/Tho
|^/A
|Tha
v\B
|Da
|/G
|-
|^/E
!8th 5L4s
v\F#
!sLsLsLLsL
|/D
|Da
|^/B
|Du/Fro
|/A
|Ru/No
|Na
|Fa
|'''Fu/Sho'''
|Su/Flo
|'''Lu/Tho'''
|Tha
|Da
|-
!9th 5L4s
!sLsLsLsLL
|Da
|Du/Fro
|Ru/No
|Na
|Fa
|Fu/Sho
|Su/Flo
|'''Fla'''
|Tha
|Da
|}
|}
10-note scale's 1st and last modes have only 1 name for an inbetween note and 2 mid notes. (Ro/Di/Si and Thu/De/Fe)
== #4 (P8, P5/2) half-5th (list alternate pergens) ==
 
* G = ^m3/vM3 = ~3 = 350¢ + c/2
== #6 (P8/3, P5) third-8ve ==
* EU = vvA1 = 0¢
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* ^ = 50¢ + 3.5c = 7G - 2P
* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2) = 400¢
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2) = 100¢ - c
* EI = ^<sup>3</sup>d2 = 0¢
* ^ = 4 '''⋅''' |c|


MOS scales covered:
MOS scales covered:


* 6 = 3L3s (either solfege)
* 7 = 3L4s (and 4L3s if P5 < 4\7 = 686¢)
* 9 = 3L6s (either solfege) or 6L3s (solfege #2 only)
* 10 = 7L3s (and 3L7s if P5 > 3\5 = 720¢)
* 12 = 3L9s (extended solfege #1 only) or 9L3s (extended solfege #2 only)
* 13 = 10L3s (if P5 > 3\5 = 720¢) and 3L10s (if P5 > 8\13)
* 15 = 12L3s (extended solfege #1 only) or 3L12s (extended solfege #1 only, P5 > 3\5 = 720¢)
* 18 = 15L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 11\18 = 733¢, you get 3L15s)
* 21= 12L9s (extended solfege #2 only)
* 21 = 18L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 13\21 = 743¢, you get 3L18s)


=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege #1 (-a = plain, -u = up, -o = down)'''
'''solfege (-a = plain, -u = up, -o = down)'''
|-
|-
! colspan="2" |genspan (gen = P5)
!genspan
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-2
!-1
!-1
Line 12,636: Line 12,411:
!1
!1
!2
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
|-
! rowspan="3" |down
genchain
perspan = 1
!solfege
!solfege
|No
|Sha
|Tho
|Fra
|Fo
|Fla
|Do
|Na
|So
Shu
|Tha
|Ro
|Ro
Fru
|Fa
|Lo
|Lo
Flu
|'''Da'''
|Mo
|Mo
Nu
|Sa
|To
|To
Thu
|Ra
|Po
|Po
Fu
|La
|Du
|Ma
|Su
|Ta
|Ru
|Pa
|Lu
|-
|-
!intervals
!intervals
|vM2
|vm3
|vM6
|d5
|vM3
|vm7
|vM7
|m2
|vA4
|v4
|m6
|v8
|m3
|~5
|m7
|~2
|P4
|~6
|'''P1'''
|~3
|P5
|~7
|M2
|~4
|M6
|^1
|M3
|^5
|M7
|^M2
|A4
|^M6
|-
|-
!notes
!notes
|vD
|vEb
|vA
|Gb
|vE
|vBb
|vB
|Db
|vF#
|vF
|-
|Ab
| colspan="7" |
|vC
|-
|Eb
! rowspan="3" |plain
|^Gb


genchain
vG
|Bb
|^Db


perspan = 0
vD
!solfege
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|F
|^Ab
vA
|'''C'''
|'''C'''
|^Eb
vE
|G
|G
|^Bb
vB
|D
|D
|-
|^F
| colspan="7" |
|-
! rowspan="3" |up


genchain
vF#
 
|A
perspan = -1
|^C
!solfege
|E
|Shu
|^G
|Fru
|B
|Flu
|^D
|Nu
|F#
|Thu
|^A
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|}
|}
for 7-note scales, up notes aren't needed, because every up note can be sung as a down note.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege #1 (-a = plain, -u = up, -o = down) [[mingen]] format'''
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
 
if P5 < 4\7 = 686¢, swap L and s to get 4L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
|-
! colspan="2" |genspan (gen = vvA1/^m2)
!1st 3L4s
!2
!LsLsLss
!1
|Da
!0
|Ra
!-1
|Mo
!-2
|Po
|Sa
|'''La'''
|To
|Da
|-
|-
! rowspan="3" |Fa's
!2nd 3L4s
 
!LsLssLs
genchain
|Da
 
|Ra
perspan = 1
!solfege
|Shu
|Fa
|Mo
|Mo
|Nu
|'''Po'''
|Ra
|Sa
|'''Lo'''
|To
|Da
|-
|-
!intervals
!3rd 3L4s
|^d5
!LssLsLs
|P4
|Da
|vM3
|'''Ra'''
|^m3
|Mo
|M2
|'''Fa'''
|Sa
|Lo
|To
|Da
|-
|-
!notes
!4th 3L4s
|^Gb
!sLsLsLs
|F
|Da
|vE
|'''Ro'''
|^Eb
|Mo
|D
|Fa
|Sa
|Lo
|'''To'''
|Da
|-
|-
| colspan="7" |
!5th 3L4s
!sLsLssL
|Da
|Ro
|Mo
|Fa
|'''Sa'''
|Lo
|'''Tha'''
|Da
|-
|-
! rowspan="3" |Da's
!6th 3L4s
 
!sLssLsL
genchain
|Da
 
perspan = 0
!solfege
|Ro
|Ro
|Fru
|'''Mo'''
|'''Da'''
|Fa
|To
|'''So'''
|Thu
|Lo
|Tha
|Da
|-
|-
!intervals
!7th 3L4s
|vM2
!ssLsLsL
|^m2
|Da
|'''P1'''
|Ro
|vM7
|'''Na'''
|^m7
|Fa
|-
|So
!notes
|Lo
|vD
|^Db
|'''C'''
|vB
|^Bb
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
 
genchain
 
perspan = -1
!solfege
|Tha
|Tha
|Lo
|Da
|Flu
|Sa
|Po
|-
!intervals
|m7
|vM6
|^m6
|P5
|vA4
|-
!notes
|Bb
|vA
|^Ab
|G
|vF#
|}
|}
For 10-note scales, both up notes and down notes are needed.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+7L3s MOS scales (L = ^m2 = vM2 = different degree, s = ^1 = vA1 = same degree)
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
if P5 > 3\5 = 720¢, swap L and s to get 3L7s
|-
![[Genchain mode numbering|GMN]] name
! colspan="2" |genspan (gen = P5)
!scale
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 12,830: Line 12,635:
!5
!5
!6
!6
!7
!8
!9
!10
|-
|-
! rowspan="3" |down
!1st 7L3s
 
!sLLsLLsLLL
genchain
|Da
 
|Du
perspan = 1
|Ra
!solfege
|Nu/Mo
|Tho
|Ma
|Fo
|Fu/Po
|Do
|Sa
|So
|'''Su'''
|Ro
|La
|Lo
|Thu/To
|Mo
|Da
|To
|Po/Shi
|Fri
|Fli
|Ni
|Thi
|-
|-
!intervals
!2nd 7L3s
|vm7
!sLLsLLLsLL
|v4
|Da
|v1
|Du
|v5
|Ra
|vM2
|Nu/Mo
|vM6
|'''Ma'''
|vM3
|Fu/Po
|vM7
|vA4/^^d5
|^^m2
|^^m6
|^^m3
|^^m7
|-
!notes
|vBb
|vF
|vC
|vG
|vD
|vA
|vE
|vB
|vF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|^^Bb
|-
| colspan="15" |
|-
! rowspan="3" |plain
 
genchain
 
perspan = 0
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Sa
|Ra
|'''Flu/Lo'''
|La
|La
|Ma
|Thu/To
|Ta
|Da
|Pa
|-
!intervals
|d5
|m2
|m6
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|M3
|M7
|A4
|-
|-
!notes
!3rd 7L3s
|Gb
!sLLLsLLsLL
|Db
|Da
|Ab
|'''Du'''
|Eb
|Ra
|Bb
|Nu/Mo
|F
|'''Fa'''
|'''C'''
|Fu/Po
|G
|Sa
|D
|Flu/Lo
|A
|La
|E
|Thu/To
|B
|Da
|F#
|-
|-
| colspan="15" |
!4th 7L3s
!LsLLsLLsLL
|Da
|'''Fru/Ro'''
|Ra
|Nu/Mo
|Fa
|Fu/Po
|Sa
|Flu/Lo
|'''La'''
|Thu/To
|Da
|-
|-
! rowspan="3" |up
!5th 7L3s
 
!LsLLsLLLsL
genchain
|Da
 
|Fru/Ro
perspan = -1
|Ra
!solfege
|Nu/Mo
|Re
|Fa
|Le
|'''Fu/Po'''
|Me
|Sa
|Te
|Flu/Lo
|Pe/Shu
|'''Tha'''
|Fru
|Thu/To
|Flu
|Da
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|-
|-
!intervals
!6th 7L3s
|vvM2
!LsLLLsLLsL
|vvM6
|Da
|vvM3
|Fru/Ro
|vvM7
|'''Ra'''
|vvA4/^d5
|Nu/Mo
|^m2
|Fa
|^m6
|'''Shu/So'''
|^m3
|Sa
|^m7
|Flu/Lo
|^4
|Tha
|^1
| Thu/To
|^5
|Da
|^M2
|-
|-
!notes
!7th 7L3s
|vvD
! LLsLLsLLsL
|vvA
|Da
|vvE
|Fru/Ro
|vvB
|'''Na'''
|vvF#/^Gb
|Nu/Mo
|^Db
|Fa
|^Ab
| Shu/So
|^Eb
|Sa
|^Bb
|Flu/Lo
|^F
|Tha
|^C
|'''Thu/To'''
|^G
| Da
|^D
|}
{| class="wikitable center-all"
|+
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud) [[mingen]] format'''
|-
|-
! colspan="2" |genspan (gen = vvA1/^m2)
!8th 7L3s
!6
!LLsLLsLLLs
!5
|Da
!4
|Fru/Ro
!3
|Na
!2
|Nu/Mo
!1
|Fa
!0
|Shu/So
!-1
|'''Sa'''
!-2
|Flu/Lo
!-3
|Tha
!-4
|'''Do'''
!-5
|Da
!-6
|-
|-
! rowspan="3" |Fa's
!9th 7L3s
 
!LLsLLLsLLs
genchain
|Da
 
|Fru/Ro
perspan = 1
|Na
!solfege
|'''Nu/Mo'''
|Tho
|Le
|Fla
|So
|Pe/Shu
|Fa
|Fa
|Mo
|Shu/So
|Nu
|'''Fla'''
|Ra
|Flu/Lo
|Fri
|Tha
|Du
|Do
|Ta
|Da
|Thi
|-
|-
!intervals
!10th 7L3s
|vm7
!LLLsLLsLLs
|vvM6
|Da
|m6
|Fru/Ro
|v5
|Na
|vvA4/^d5
|'''Fo'''
|P4
|Fa
|vM3
|Shu/So
|^m3
|Fla
|M2
|Flu/Lo
|^^m2
|Tha
|^1
|Do
|M7
|Da
|^^m7
|}
==#5 (P8/2, P4/2) half-everything (incomplete)==
* P = ^/4 = v\5 = 600¢
* G = P4/2 = ^M2 = vm3 = 250¢ - c/2
* G' = P5/2 = /m3 = \M3 = 350¢ + c/2
* EU's: vvm2, \\A1
* ^ = 50¢ - 2.5c = 5G - P
* / = 50¢ + 3.5c = 3P - 7G
MOS scales covered:
* 10 =
 
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop, -uwi = uplift, -owe = downdrop)'''
|-
|-
!notes
!genspan
|vBb
!13
|vvA
!12
|Ab
!11
|vG
!10
|vvF#/^Gb
!9
|F
!8
|vE
!7
|^Eb
!6
|D
!5
|^^Db
!4
|^C
!3
|B
!2
|^^Bb
!1
|-
!0
| colspan="15" |
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
! rowspan="3" |Da's
! rowspan="3" |plain


genchain
genchain


perspan = 0
perspan = 0
!solfege
|Flu
|Sha
|Sha
|Fo
|Nu
|Me
|Fra
|Thu
|Fla
|Fu
 
Sho
|Na
|Na
|Ro
|Du
|Fru
 
Fro
|Tha
|Su
 
Flo
|Fa
|Ru
 
No
|'''Da'''
|'''Da'''
|To
|Lu
|Thu
 
Tho
|Sa
|Mu
 
Fo
|Ra
|Tu
 
Do
|La
|La
|Fli
|Pu
|Su
 
So
|Ma
|Ro
|Ta
|Lo
|Pa
|Pa
|Mo
|-
|-
!intervals
|^m6
|d5
|d5
|v4
|^m3
|vvM3
|m2
|^m7
|m6
|^4
 
vd5
|m3
|m3
|vM2
|^1
|^m2
 
|'''P1'''
vm2
|vM7
|m7
|^m7
|M6
|^^m6
|^5
|^5
vm6
|P4
|^M2
vm3
|'''P1'''
|^M6
vm7
|P5
|^M3
v4
|M2
|^M7
v8
|M6
|^A4
v5
|M3
|vM2
|M7
|vM6
|A4
|A4
|vM3
|-
|-
!notes
|^Ab
|Gb
|Gb
|vF
|^Eb
|vvE
|Db
|^Bb
|Ab
|^F
 
vGb
|Eb
|Eb
|vD
|^C
|^Db
 
vDb
|Bb
|^G
 
vAb
|F
|^D
 
vEb
|'''C'''
|'''C'''
|vB
|^A
|^Bb
 
vBb
|G
|^E
 
vF
|D
|^B
 
vC
|A
|A
|^^Ab
|^F#
|^G
 
vG
|E
|vD
|B
|vA
|F#
|F#
|vE
|-
|-
| colspan="15" |
| colspan="28" |
|-
|-
! rowspan="3" |Sa's
! rowspan="3" |lift/drop


genchain
genchain


perspan = -1
 
!solfege
perspan = ±1
|Re
|Ne
|Fra
|Frowe
|Do
|The
|Te
|Shuwi
|Tha
Flowe
|Lo
|Fe
|Flu
|Fruwi
|Sa
Nowe
|Po/Shi
|De
|Fu
|Fluwi
|Ma
Thowe
|Shi
Se
|Nuwi
Fowe
|Fri
Re
|Thuwi
Dowe
|Fli
Le
|Fuwi
Sowe
|Ni
|Ni
|Ru
Me
|Duwi
Rowe
|Thi
Te
|Suwi
Lowe
|Fi
Pe
|Ruwi
Mowe
|Di
|Luwi
Towe
|Si
|Muwi
Powe
|Ri
|Tuwi
|Li
|-
|-
!intervals
|\m3
|vvM2
|v\m2
|m2
|\m7
|v1
|^/d5
|vvM7
v\m6
|m7
|\4
|vM6
|^/m2
|^m6
v\m3
|P5
|\8
|vA4/^^d5
|^/m6
|^4
v\m7
|M3
|\5
|^^m3
|^/m3
|^M2
v\4
|-
|/m2
!notes
\M2
|vvD
|^/m7
|Db
v\8
|vC
|/m6
|vvB
\M6
|Bb
|^/4
|vA
v\5
|^Ab
|/m3
|G
\M3
|vF#/^^Gb
|^/1
|^F
v\M2
|E
|/m7
|^^Eb
\M7
|^D
|^/5
|}
v\M6
{| class="wikitable center-all"
|/4
|+
\A4
3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)
|^/M2
![[Genchain mode numbering|GMN]] name
v\M3
!scale
|/1
!1sn
|^/M6
!
v\M7
!3rd
|/5
!
|^/M3
!6th
v\A4
!
|/M2
!8ve
|^/M7
|/M6
|-
|-
!1st 3L3s
|\Eb
!Ls-Ls-Ls
|vDb
|Da
|\Bb
|'''Nu'''
|^/Gb
|Mo
v\Ab
|'''Sa'''
|\F
|Flu
|^/Db
|'''To'''
v\Eb
|Da
|\C
|-
|^/Ab
!2nd 3L3s
v\Bb
!sL-sL-sL
|/Gb
|Da
\G
|'''Fru'''
|^/Eb
|Mo
v\F
|'''Fa'''
|/Db
|Flu
\D
|'''Lo'''
|^/Bb
|Da
v\C
|/Ab
\A
|^/F
v\G
|/Eb
\E
|^/C
v\D
|/Bb
\B
|^/G
v\A
|/F
\F#
|^/D
v\E
|/C
|^/A
v\B
|/G
|^/E
v\F#
|/D
|^/B
|/A
|}
|}
10-note scale's 1st and last modes have only 1 name for an inbetween note and 2 mid notes. (Ro/Di/Si and Thu/De/Fe)
== #6 (P8/3, P5) third-8ve ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2) = 400¢
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2) = 100¢ - c
* EU = ^<sup>3</sup>d2 = 0¢
* ^ = 4 '''⋅''' |c|
MOS scales covered:
* 6 = 3L3s (either solfege)
* 9 = 3L6s (either solfege) or 6L3s (solfege #2 only)
* 12 = 3L9s (extended solfege #1 only) or 9L3s (extended solfege #2 only)
* 15 = 12L3s (extended solfege #1 only) or 3L12s (extended solfege #1 only, P5 > 3\5 = 720¢)
* 18 = 15L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 11\18 = 733¢, you get 3L15s)
* 21= 12L9s (extended solfege #2 only)
* 21 = 18L3s (extended solfege #1 only) (P5 > 3\5 = 720¢, if P5 > 13\21 = 743¢, you get 3L18s)
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
3L6s MOS scales (L = M2 = rhymes, s = ^m2/vvA1)
'''solfege #1 (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
|-
!scale
! colspan="2" |genspan (gen = P5)
!1sn
!-2
!2nd
!-1
!
!0
!3rd
!1
!4th
!2
!5th
!6th
!
!7th
!8ve
|-
|-
!1st 3L6s
! rowspan="3" |down
!Lss-Lss-Lss
 
|Da
genchain
|'''Ra'''
 
|Nu
perspan = 1
!solfege
|Ro
|Lo
|Mo
|Mo
|'''Po'''
|Sa
|Flu
|'''Thu'''
|To
|To
|Da
|Po
|-
|-
!2nd 3L6s
!intervals
!sLs-sLs-sLs
|vM2
|Da
|vM6
|'''Fru'''
|vM3
|'''Nu'''
|vM7
|Mo
|vA4
|'''Fa'''
|-
|'''Sa'''
!notes
|Flu
|vD
|'''Lo'''
|vA
|'''To'''
|vE
|Da
|vB
|vF#
|-
| colspan="7" |
|-
! rowspan="3" |plain
 
genchain
 
perspan = 0
!solfege
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|'''C'''
|G
|D
|-
| colspan="7" |
|-
|-
!3rd 3L6s
! rowspan="3" |up
!ssL-ssL-ssL
 
|Da
genchain
 
perspan = -1
!solfege
|Shu
|Fru
|Fru
|'''Ro'''
|Mo
|Fa
|'''Shu'''
|Flu
|Flu
|Lo
|Nu
|'''Tha'''
|Thu
|Da
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1)  
'''solfege #1 (-a = plain, -u = up, -o = down) [[mingen]] format'''
![[Genchain mode numbering|GMN]] name
|-
!scale
! colspan="2" |genspan (gen = vvA1/^m2)
!1sn
!2
! colspan="2" |2nds
!1
! colspan="2" |3rds
!0
!4th
!-1
!tritone
!-2
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
|-
!1st 3L9s
! rowspan="3" |Fa's
!Lsss-Lsss-Lsss
 
|Da
genchain
|'''Fri'''
 
perspan = 1
!solfege
|Shu
|Fa
|Mo
|Nu
|Ra
|Ra
|Nu
|Mo
|'''Fu'''
|Po/Shi
|Sa
|Flu
|'''La'''
|Thu
|To
|Da
|-
|-
!2nd 3L9s
!intervals
!sLss-sLss-sLss
|^d5
|Da
|P4
|'''Fru'''
|vM3
|'''Ra'''
|^m3
|Nu
|M2
|Mo
|-
|'''Fa'''
!notes
|'''Po'''
|^Gb
|Sa
|F
|Flu
|vE
|'''Lo'''
|^Eb
|'''Thu'''
|D
|To
|-
|Da
| colspan="7" |
|-
|-
!3rd 3L9s
! rowspan="3" |Da's
!ssLs-ssLs-ssLs
 
|Da
genchain
 
perspan = 0
!solfege
|Ro
|Fru
|Fru
|'''Ro'''
|'''Da'''
|'''Nu'''
|To
|Mo
|Thu
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Lo
|'''Tha'''
|'''To'''
|Da
|-
!4th 3L9s
!sssL-sssL-sssL
|Da
|Fru
|Ro
|'''Na'''
|Mo
|Fa
|Pe/Shu
|'''So'''
|Flu
|Lo
|Tha
|'''Te'''
|Da
|}
Similar tables can be made for 15- and 18-note scales.
 
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down)'''
|-
! colspan="2" |genspan (gen = P5)
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |up
 
genchain
 
perspan = 1
!solfege
|Ru
|Lu
|Mu
|Tu
|Pu
|-
|-
!intervals
!intervals
|^M2
|vM2
|^M6
|^m2
|^M3
|'''P1'''
|^M7
|vM7
|^A4
|^m7
|-
|-
!notes
!notes
|^D
|vD
|^A
|^Db
|^E
|'''C'''
|^B
|vB
|^F#
|^Bb
|-
|-
| colspan="7" |
| colspan="7" |
|-
|-
! rowspan="3" |plain
! rowspan="3" |Sa's


genchain
genchain


perspan = 0
perspan = -1
!solfege
!solfege
|Tha
|Tha
|Fa
|Lo
|'''Da'''
|Flu
|Sa
|Sa
|Ra
|Po
|-
|-
!intervals
!intervals
|m7
|m7
|P4
|vM6
|'''P1'''
|^m6
|P5
|P5
|M2
|vA4
|-
|-
!notes
!notes
|Bb
|Bb
|F
|vA
|'''C'''
|^Ab
|G
|G
|D
|vF#
|}
{| class="wikitable center-all"
|+
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
|-
| colspan="7" |
! colspan="2" |genspan (gen = P5)
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
|-
! rowspan="3" |down
! rowspan="3" |down
Line 13,400: Line 13,332:
genchain
genchain


perspan = -1
perspan = 1
!solfege
!solfege
|Sho
|Fro
|Flo
|No
|Tho
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shi
|Fri
|Fli
|Ni
|Thi
|-
|-
!intervals
!intervals
|vd5
|vm2
|vm6
|vm3
|vm7
|vm7
|v4
|v1
|v5
|vM2
|vM6
|vM3
|vM7
|vA4/^^d5
|^^m2
|^^m6
|^^m3
|^^m7
|-
|-
!notes
!notes
|vGb
|vDb
|vAb
|vEb
|vBb
|vBb
|}
|vF
{| class="wikitable center-all"
|vC
|+
|vG
'''solfege #2 (-a = plain, -u = up, -o = down) [[mingen]] format'''
|vD
|vA
|vE
|vB
|vF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|^^Bb
|-
|-
! colspan="2" |genspan (gen = ^^A1/vm2)
| colspan="15" |
!2
!1
!0
!-1
!-2
|-
|-
! rowspan="3" |Fa's
! rowspan="3" |plain


genchain
genchain


perspan = 1
perspan = 0
!solfege
!solfege
|Sho
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
|Mu
|'''Da'''
|No
|Sa
|Ra
|Ra
|La
|Ma
|Ta
|Pa
|-
|-
!intervals
!intervals
|vd5
|d5
|m2
|m6
|m3
|m7
|P4
|P4
|^M3
|'''P1'''
|vm3
|P5
|M2
|M2
|M6
|M3
|M7
|A4
|-
|-
!notes
!notes
|vGb
|Gb
|Db
|Ab
|Eb
|Bb
|F
|F
|^E
|'''C'''
|vEb
|G
|D
|D
|A
|E
|B
|F#
|-
|-
| colspan="7" |
| colspan="15" |
|-
|-
! rowspan="3" |Da's
! rowspan="3" |up


genchain
genchain


perspan = 0
perspan = -1
!solfege
!solfege
|Re
|Le
|Me
|Te
|Pe/Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|Ru
|Fro
|'''Da'''
|Tu
|Tho
|-
|-
!intervals
!intervals
|vvM2
|vvM6
|vvM3
|vvM7
|vvA4/^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|^5
|^M2
|^M2
|vm2
|'''P1'''
|^M7
|vm7
|-
|-
!notes
!notes
|vvD
|vvA
|vvE
|vvB
|vvF#/^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|^G
|^D
|^D
|vDb
|}
|'''C'''
{| class="wikitable center-all"
|^B
|+
|vBb
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud) [[mingen]] format'''
|-
|-
| colspan="7" |
! colspan="2" |genspan (gen = vvA1/^m2)
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
|-
|-
! rowspan="3" |Sa's
! rowspan="3" |Fa's


genchain
genchain


perspan = -1
perspan = 1
!solfege
!solfege
|Tha
|Tho
|Lu
|Le
|Flo
|Fla
|Sa
|So
|Pu
|Pe/Shu
|Fa
|Mo
|Nu
|Ra
|Fri
|Du
|Ta
|Thi
|-
|-
!intervals
!intervals
|m7
|vm7
|^M6
|vvM6
|vm6
|m6
|P5
|v5
|^A4
|vvA4/^d5
|P4
|vM3
|^m3
|M2
|^^m2
|^1
|M7
|^^m7
|-
|-
!notes
!notes
|Bb
|vBb
|^A
|vvA
|vAb
|Ab
|G
|vG
|^F#
|vvF#/^Gb
|}
|F
{| class="wikitable center-all"
|vE
|+
|^Eb
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|D
|^^Db
|^C
|B
|^^Bb
|-
| colspan="15" |
|-
|-
! colspan="2" |genspan (gen = P5)
! rowspan="3" |Da's
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |up/dud


genchain
genchain


perspan = 1
perspan = 0
!solfege
!solfege
|Sha
|Fo
|Me
|Na
|Ro
|Fru
|'''Da'''
|To
|Thu
|Thu
|Fu
|La
|Du
|Fli
|Su
|Su
|Ru
|Pa
|Lu
|Mu
|Tu
|Pu/She
|Fre
|Fle
|Ne
|The
|-
|-
!intervals
!intervals
|d5
|v4
|vvM3
|m3
|vM2
|^m2
|'''P1'''
|vM7
|^m7
|^m7
|^4
|M6
|^1
|^^m6
|^5
|^5
|^M2
|A4
|^M6
|^M3
|^M7
|^A4/vvd5
|vvm2
|vvm6
|vvm3
|vvm7
|-
|-
!notes
!notes
|Bb
|Gb
|^F
|vF
|^C
|vvE
|Eb
|vD
|^Db
|'''C'''
|vB
|^Bb
|A
|^^Ab
|^G
|^G
|^D
|F#
|^A
|^E
|^B
|^F#/vvGb
|vvDb
|vvAb
|vvEb
|vvBb
|-
|-
| colspan="15" |
| colspan="15" |
|-
|-
! rowspan="3" |plain
! rowspan="3" |Sa's


genchain
genchain


perspan = 0
perspan = -1
!solfege
!solfege
|Sha
|Re
|Fra
|Fra
|Fla
|Do
|Na
|Te
|Tha
|Tha
|Fa
|Lo
|'''Da'''
|Flu
|Sa
|Sa
|Ra
|Po/Shi
|La
|Fu
|Ma
|Ma
|Ta
|Ni
|Pa
|Ru
|-
|-
!intervals
!intervals
|d5
|vvM2
|m2
|m2
|m6
|v1
|m3
|vvM7
|m7
|m7
|P4
|vM6
|'''P1'''
|^m6
|P5
|P5
|M2
|vA4/^^d5
|M6
|^4
|M3
|M3
|M7
|^^m3
|A4
|^M2
|-
|-
!notes
!notes
|Gb
|vvD
|Db
|Db
|Ab
|vC
|Eb
|vvB
|Bb
|Bb
|F
|vA
|'''C'''
|^Ab
|G
|G
|D
|vF#/^^Gb
|A
|^F
|E
|E
|B
|^^Eb
|F#
|^D
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
|-
| colspan="15" |
!1st 3L3s
!Ls-Ls-Ls
|Da
|'''Nu'''
|Mo
|'''Sa'''
|Flu
|'''To'''
|Da
|-
|-
! rowspan="3" |down/dup
!2nd 3L3s
 
!sL-sL-sL
genchain
|Da
 
|'''Fru'''
perspan = -1
|Mo
!solfege
|'''Fa'''
|Ri
|Flu
|Li
|'''Lo'''
|Mi
|Da
|Ti
|Pi/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|So
|Ro
|-
!intervals
|^^M2
|^^M6
|^^M3
|^^M7
|^^A4/vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v1
|v5
|vM2
|-
!notes
|^^D
|^^A
|^^E
|^^B
|^^F#/vGb
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|vG
|vD
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud) [[mingen]] format'''
3L6s MOS scales (L = M2 = rhymes, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
|-
! colspan="2" |genspan (gen = ^^A1/vm2)
!1st 3L6s
!6
!Lss-Lss-Lss
!5
|Da
!4
|'''Ra'''
!3
|Nu
!2
|Mo
!1
|'''Po'''
!0
|Sa
!-1
|Flu
!-2
|'''Thu'''
!-3
|To
!-4
|Da
!-5
!-6
|-
|-
! rowspan="3" |Fa's
!2nd 3L6s
 
!sLs-sLs-sLs
genchain
|Da
 
|'''Fru'''
perspan = 1
|'''Nu'''
!solfege
|Mo
|Thu
|'''Fa'''
|Li
|'''Sa'''
|Fla
|Flu
|Su
|'''Lo'''
|Pi/Sho
|'''To'''
|Da
|-
!3rd 3L6s
!ssL-ssL-ssL
|Da
|Fru
|'''Ro'''
|Mo
|Fa
|Fa
|Mu
|'''Shu'''
|No
|Flu
|Lo
|'''Tha'''
|Da
|}
 
{| class="wikitable center-all"
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 3L9s
!Lsss-Lsss-Lsss
|Da
|'''Fri'''
|Ra
|Ra
|Fre
|Nu
|Do
|Mo
|Ta
|'''Fu'''
|The
|Po/Shi
|Sa
|Flu
|'''La'''
|Thu
|To
|Da
|-
|-
!intervals
!2nd 3L9s
|^m7
!sLss-sLss-sLss
|^^M6
|Da
|m6
|'''Fru'''
|^5
|'''Ra'''
|^^A4/vd5
|Nu
|P4
|Mo
|^M3
|'''Fa'''
|vm3
|'''Po'''
|M2
|Sa
|vvm2
|Flu
|v1
|'''Lo'''
|M7
|'''Thu'''
|vvm7
|To
|Da
|-
!3rd 3L9s
!ssLs-ssLs-ssLs
|Da
|Fru
|'''Ro'''
|'''Nu'''
|Mo
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Lo
|'''Tha'''
|'''To'''
|Da
|-
|-
!notes
!4th 3L9s
|^Bb
!sssL-sssL-sssL
|^^A
|Da
|Ab
|Fru
|^G
|Ro
|^^F#/vGb
|'''Na'''
|F
|Mo
|^E
|Fa
|vEb
|Pe/Shu
|D
|'''So'''
|vvDb
|Flu
|vC
|Lo
|B
|Tha
|vvBb
|'''Te'''
|Da
|}
Similar tables can be made for 15- and 18-note scales.
 
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down)'''
|-
|-
| colspan="15" |
! colspan="2" |genspan (gen = P5)
!-2
!-1
!0
!1
!2
|-
|-
! rowspan="3" |Da's
! rowspan="3" |up


genchain
genchain


perspan = 0
perspan = 1
!solfege
!solfege
|Sha
|Fu
|Mi
|Na
|Ru
|Ru
|Fro
|Lu
|'''Da'''
|Mu
|Tu
|Tu
|Tho
|Pu
|La
|Fle
|So
|Pa
|-
|-
!intervals
!intervals
|d5
|^4
|^^M3
|m3
|^M2
|^M2
|vm2
|^M6
|'''P1'''
|^M3
|^M7
|^M7
|vm7
|^A4
|M6
|vvm6
|v5
|A4
|-
|-
!notes
!notes
|Gb
|^F
|^^E
|Eb
|^D
|^D
|vDb
|^A
|'''C'''
|^E
|^B
|^B
|vBb
|^F#
|A
|vvAb
|vG
|F#
|-
|-
| colspan="15" |
| colspan="7" |
|-
|-
! rowspan="3" |Sa's
! rowspan="3" |plain


genchain
genchain


perspan = -1
perspan = 0
!solfege
!solfege
|Ri
|Fra
|Du
|Ti
|Tha
|Tha
|Lu
|Fa
|Flo
|'''Da'''
|Sa
|Sa
|Pu/She
|Ra
|Fo
|Ma
|Ne
|Ro
|-
|-
!intervals
!intervals
|^^M2
|m2
|^1
|^^M7
|m7
|m7
|^M6
|P4
|vm6
|'''P1'''
|P5
|P5
|^A4/vvd5
|M2
|v4
|M3
|vvm3
|vM2
|-
|-
!notes
!notes
|^^D
|Db
|^C
|^^B
|Bb
|Bb
|^A
|F
|vAb
|'''C'''
|G
|G
|^F#/vvGb
|D
|vF
|-
|E
| colspan="7" |
|vvEb
|vD
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^^A2/vm3, s = ^^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
|-
!1st 3L3s
! rowspan="3" |down
!Ls-Ls-Ls
 
|Da
genchain
|'''No'''
 
|Mu
perspan = -1
|'''Sa'''
!solfege
|Sho
|Fro
|Flo
|Flo
|'''Tu'''
|No
|Da
|Tho
|-
!intervals
|vd5
|vm2
|vm6
|vm3
|vm7
|-
|-
!2nd 3L3s
!notes
!sL-sL-sL
|vGb
|Da
|vDb
|'''Fro'''
|vAb
|Mu
|vEb
|'''Fa'''
|vBb
|Flo
|'''Lu'''
|Da
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
3L6s MOS scales (L = M2 = rhymes, s = ^^A1/vm2)
'''solfege #2 (-a = plain, -u = up, -o = down) [[mingen]] format'''
 
if P5 < 5\9 = 667¢, swap L and s to get 6L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
|-
!1st 3L6s
! colspan="2" |genspan (gen = ^^A1/vm2)
!Lss-Lss-Lss
!2
|Da
!1
|'''Ra'''
!0
|No
!-1
|Mu
!-2
|'''Pu'''
|Sa
|Flo
|'''Tho'''
|Tu
|Da
|-
|-
!2nd 3L6s
! rowspan="3" |Fa's
!sLs-sLs-sLs
 
|Da
genchain
|'''Fro'''
 
|'''No'''
perspan = 1
!solfege
|Sho
|Fa
|Mu
|Mu
|'''Fa'''
|No
|'''Sa'''
|Ra
|Flo
|'''Lu'''
|'''Tu'''
|Da
|-
|-
!3rd 3L6s
!intervals
!ssL-ssL-ssL
|vd5
|Da
|P4
|^M3
|vm3
|M2
|-
!notes
|vGb
|F
|^E
|vEb
|D
|-
| colspan="7" |
|-
! rowspan="3" |Da's
 
genchain
 
perspan = 0
!solfege
|Ru
|Fro
|Fro
|'''Ru'''
|'''Da'''
|Mu
|Tu
|Fa
|Tho
|'''Sho'''
|-
!intervals
|^M2
|vm2
|'''P1'''
|^M7
|vm7
|-
!notes
|^D
|vDb
|'''C'''
|^B
|vBb
|-
| colspan="7" |
|-
! rowspan="3" |Sa's
 
genchain
 
perspan = -1
!solfege
|Tha
|Lu
|Flo
|Flo
|Lu
|Sa
|'''Tha'''
|Pu
|Da
|-
!intervals
|m7
|^M6
|vm6
|P5
|^A4
|-
!notes
|Bb
|^A
|vAb
|G
|^F#
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
9L3s MOS scales (L = ^A1/vvm2, s = ^^A1/vm2)  
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
![[Genchain mode numbering|GMN]] name
|-
!scale
! colspan="2" |genspan (gen = P5)
!1sn
!-6
! colspan="2" |2nds
!-5
! colspan="2" |3rds
!-4
!4th
!-3
!tritone
!-2
!5th
!-1
! colspan="2" |6ths
!0
! colspan="2" |7ths
!1
!8ve
!2
!3
!4
!5
!6
|-
|-
!1st 9L3s
! rowspan="3" |up/dud
!sLLL-sLLL-sLLL
 
|Da
genchain
|'''Fre'''
 
|Ra
perspan = 1
|No
!solfege
|Thu
|Fu
|Du
|Su
|Ru
|Lu
|Mu
|Mu
|'''Fo'''
|Tu
|Pu/She
|Pu/She
|Sa
|Fre
|Flo
|Fle
|'''La'''
|Ne
|Tho
|The
|Tu
|Da
|-
|-
!2nd 9L3s
!intervals
!LsLL-LsLL-LsLL
|^m7
|Da
|^4
|'''Fro'''
|^1
|'''Ra'''
|^5
|No
|^M2
|Mu
|^M6
|'''Fa'''
|^M3
|'''Pu'''
|^M7
|Sa
|^A4/vvd5
|Flo
|vvm2
|'''Lu'''
|vvm6
|'''Tho'''
|vvm3
|Tu
|vvm7
|Da
|-
|-
!3rd 9L3s
!notes
!LLsL-LLsL-LLsL
|Bb
|Da
|^F
|Fro
|^C
|'''Ru'''
|^G
|'''No'''
|^D
|Mu
|^A
|Fa
|^E
|'''Sho'''
|^B
|'''Sa'''
|^F#/vvGb
|Flo
|vvDb
|Lu
|vvAb
|'''Tha'''
|vvEb
|'''Tu'''
|vvBb
|Da
|-
| colspan="15" |
|-
|-
!4th 9L3s
! rowspan="3" |plain
!LLLs-LLLs-LLLs
|Da
|Fro
|Ru
|'''Na'''
|Mu
|Fa
|Pi/Sho
|'''Su'''
|Flo
|Lu
|Tha
|'''Ti'''
|Da
|}
== #7 (P8, P4/3) third-4th ==


* G = vM2/^^m2 = ^~2 = 167¢ - c/3
genchain
* EI = v<sup>3</sup>A1 = 0¢
* ^ = (100¢ + 7c) / 3


MOS scales covered:
perspan = 0
 
* 7 = 1L6s (for 6L1s use quarter-5th)
* 8 = 7L1s or 1L7s
* 15 = 7L8s (all but 2 modes) (4\7 < P5 < 3\5)
 
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down)'''
|-
!genspan
!13
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
!solfege
!solfege
|Tho
|Sha
|Fra
|Fla
|Fla
|Shu
|Fo
|Na
|Na
|Fru
|Do
|Tha
|Tha
|Flu
|So
|Fa
|Fa
|Nu
|Ro
|'''Da'''
|'''Da'''
|Thu
|Lo
|Sa
|Sa
|Fu
|Mo
|Ra
|Ra
|Du
|To
|La
|La
|Su
|Po
|Ma
|Ma
|Ru
|Ta
|Pa
|-
|-
!intervals
!intervals
|vm7
|d5
|m2
|m6
|m6
|^d5
|v4
|m3
|m3
|^m2
|v8
|m7
|m7
|^m6
|v5
|P4
|P4
|^m3
|vM2
|'''P1'''
|'''P1'''
|^m7
|vM6
|P5
|P5
|^4
|vM3
|M2
|M2
|^1
|vM7
|M6
|M6
|^5
|vA4
|M3
|M3
|^M2
|M7
|A4
|-
|-
!notes
!notes
|vBb
|Gb
|Db
|Ab
|Ab
|^Gb
|vF
|Eb
|Eb
|^Db
|vC
|Bb
|Bb
|^Ab
|vG
|F
|F
|^Eb
|vD
|'''C'''
|'''C'''
|^Bb
|vA
|G
|G
|^F
|vE
|D
|D
|^C
|vB
|A
|A
|^G
|vF#
|E
|E
|^D
|B
|}
|F#
Implied 22edo solfege: Da - Du - Fru - Ro - Ra - Ru/Na - Nu - Mo - Ma/Fo - Fa - Fu - Po/Shu - So - Sa - Su/Fla - Flu - Lo - La/Tho - Tha - Thu - To - Do - Da
{| class="wikitable center-all"
|+
'''solfege in melodic order (Po and Shu switch places when P5 > 13\22 = 709¢)'''
!index
!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
!25
!26
!27
|-
|-
!genspan
| colspan="15" |
!0
!-7
!8
!1
!-6
!-13
!9
!2
!-5
!-12
!10
!3
!-4
!-11
!11
!4
!-3
!-10
!12
!5
!-2
!-9
!13
!6
!-1
!-8
!7
!0
|-
|-
! rowspan="3" |down/dup
genchain
perspan = -1
!solfege
!solfege
|Da
|Ri
|Du
|Li
|Fru
|Mi
|Ro
|Ti
|Ra
|Pi/Sho
|Ru
|Fro
|Na
|Flo
|Nu
|No
|Mo
|Tho
|Ma
|Fo
|Fo
|Fa
|Do
|Fu
|Po
|Shu
|So
|So
|Sa
|Ro
|Su
|Fla
|Flu
|Lo
|La
|Tho
|Tha
|Thu
|To
|Do
|Da
|-
|-
!intervals
!intervals
|P1
|^^M2
|^1
|^^M6
|^m2
|^^M3
|^^M7
|^^A4/vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v1
|v5
|vM2
|vM2
|M2
|-
|^M2
|m3
|^m3
|vM3
|M3
|v4
|P4
|^4
|vA4
|^d5
|v5
|P5
|^5
|m6
|^m6
|vM6
|M6
|vm7
|m7
|^m7
|vM7
|v8
|P1
|-
!notes
!notes
|C
|^^D
|^C
|^^A
|^Db
|^^E
|vD
|^^B
|D
|^^F#/vGb
|^D
|vDb
|Eb
|vAb
|^Eb
|vEb
|vE
|vBb
|E
|vF
|vF
|F
|vC
|^F
|vF#
|^Gb
|vG
|vG
|G
|vD
|^G
|Ab
|^Ab
|vA
|A
|vBb
|Bb
|^Bb
|vB
|vC
|C
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
'''extended solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud) [[mingen]] format'''
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
|-
!1st 1L6s
! colspan="2" |genspan (gen = ^^A1/vm2)
!Lssssss
!6
|Da
!5
|'''Ra'''
!4
|Mo
!3
|Fu
!2
|Sa
!1
|Lo
!0
!-1
!-2
!-3
!-4
!-5
!-6
|-
! rowspan="3" |Fa's
 
genchain
 
perspan = 1
!solfege
|Thu
|Thu
|Da
|Li
|Fla
|Su
|Pi/Sho
|Fa
|Mu
|No
|Ra
|Fre
|Do
|Ta
|The
|-
|-
!2nd 1L6s
!intervals
!sLsssss
|^m7
|Da
|^^M6
|'''Ro'''
|m6
|'''Mo'''
|^5
|Fu
|^^A4/vd5
|Sa
|P4
|Lo
|^M3
|Thu
|vm3
|Da
|M2
|vvm2
|v1
|M7
|vvm7
|-
|-
!3rd 1L6s
!notes
!ssLssss
|^Bb
|Da
|^^A
|Ro
|Ab
|'''Nu'''
|^G
|'''Fu'''
|^^F#/vGb
|Sa
|F
|Lo
|^E
|Thu
|vEb
|Da
|D
|vvDb
|vC
|B
|vvBb
|-
|-
!4th 1L6s
| colspan="15" |
!sssLsss
|Da
|Ro
|Nu
|'''Fa'''
|'''Sa'''
|Lo
|Thu
|Da
|-
|-
!5th 1L6s
! rowspan="3" |Da's
!ssssLss
 
|Da
genchain
|Ro
 
|Nu
perspan = 0
|Fa
!solfege
|'''So'''
|Sha
|'''Lo'''
|Fu
|Thu
|Mi
|Da
|Na
|-
|Ru
!6th 1L6s
|Fro
!sssssLs
|'''Da'''
|Da
|Tu
|Ro
|Tho
|Nu
|La
|Fa
|Fle
|So
|So
|'''Flu'''
|Pa
|'''Thu'''
|Da
|-
|-
!7th 1L6s
!intervals
!ssssssL
|d5
|Da
|^4
|Ro
|^^M3
|Nu
|m3
|Fa
|^M2
|So
|vm2
|Flu
|'''P1'''
|'''Tha'''
|^M7
|Da
|vm7
|}
|M6
{| class="wikitable center-all"
|vvm6
|+
|v5
7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)
|A4
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
|-
!1st 7L1s
!notes
!sLLLLLLL
|Gb
|Da
|^F
|'''Du'''
|^^E
|Ra
|Eb
|Mo
|^D
|Fu
|vDb
|Sa
|'''C'''
|Lo
|^B
|Thu
|vBb
|Da
|A
|vvAb
|vG
|F#
|-
|-
!2nd 7L1s
| colspan="15" |
!LsLLLLLL
|Da
|'''Ro'''
|'''Ra'''
|Mo
|Fu
|Sa
|Lo
|Thu
|Da
|-
|-
!3rd 7L1s
! rowspan="3" |Sa's
!LLsLLLLL
 
|Da
genchain
|Ro
 
|'''Nu'''
perspan = -1
|'''Mo'''
!solfege
|Fu
|Ri
|Fra
|Du
|Ti
|Tha
|Lu
|Flo
|Sa
|Sa
|Lo
|Pu/She
|Thu
|Fo
|Da
|Ma
|-
|Ne
!4th 7L1s
!LLLsLLLL
|Da
|Ro
|Ro
|Nu
|'''Fa'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|-
|-
!5th 7L1s
!intervals
!LLLLsLLL
|^^M2
|Da
|m2
|Ro
|^1
|Nu
|^^M7
|Fa
|m7
|'''So'''
|^M6
|'''Sa'''
|vm6
|Lo
|P5
|Thu
|^A4/vvd5
|Da
|v4
|M3
|vvm3
|vM2
|-
|-
!6th 7L1s
!notes
!LLLLLsLL
|^^D
|Da
|Db
|Ro
|^C
|Nu
|^^B
|Fa
|Bb
|So
|^A
|'''Flu'''
|vAb
|'''Lo'''
|G
|Thu
|^F#/vvGb
|Da
|vF
|E
|vvEb
|vD
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^^A2/vm3, s = ^^A1/vm2)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
|-
!7th 7L1s
!1st 3L3s
!LLLLLLsL
!Ls-Ls-Ls
|Da
|Da
|Ro
|'''No'''
|Nu
|Mu
|Fa
|'''Sa'''
|So
|Flo
|Flu
|'''Tu'''
|'''Tha'''
|'''Thu'''
|Da
|Da
|-
|-
!8th 7L1s
!2nd 3L3s
!LLLLLLLs
!sL-sL-sL
|Da
|Da
|Ro
|'''Fro'''
|Nu
|Mu
|Fa
|'''Fa'''
|So
|Flo
|Flu
|'''Lu'''
|Tha
|'''Do'''
|Da
|Da
|}
|}
== #8 (P8, P5/3) third-5th ==
* G = ^M2/vvm3 = 233¢ + c/3
* EI = v<sup>3</sup>m2 = 0¢
* ^ = (100¢ - 5c) / 3
MOS scales covered:
* 5 = 1L4s (for 4L1s use pergen #3, half-4th)
* 6 = 5L1s
* 11 = 5L6s
* 16 = 5L11s
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''solfege (-a = plain, -u = up, -o = down)'''
3L6s MOS scales (L = M2 = rhymes, s = ^^A1/vm2)
|-
 
!-15
if P5 < 5\9 = 667¢, swap L and s to get 6L3s
!-14
![[Genchain mode numbering|GMN]] name
!-13
!scale
!-12
!1sn
!-11
!2nd
!-10
!
!-9
!3rd
!-8
!4th
!-7
!5th
!-6
!6th
!-5
!
!-4
!7th
!-3
!8ve
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|-
|Fra
!1st 3L6s
|Nu
!Lss-Lss-Lss
|Sho
|Da
|Fla
|'''Ra'''
|Thu
|Fro
|Na
|Fu
|Flo
|Tha
|Du
|No
|No
|Fa
|Mu
|Su
|'''Pu'''
|Tho
|'''Da'''
|Ru
|Fo
|Sa
|Sa
|Lu
|Flo
|Do
|'''Tho'''
|Ra
|Mu
|So
|La
|Tu
|Tu
|Ro
|Da
|Ma
|Pu
|Lo
|Ta
|-
|-
|m2
!2nd 3L6s
|^m3
!sLs-sLs-sLs
|vd5
|Da
|m6
|'''Fro'''
|^m7
|'''No'''
|vm2
|Mu
|m3
|'''Fa'''
|^4
|'''Sa'''
|vm6
|Flo
|m7
|'''Lu'''
|^1
|'''Tu'''
|vm3
|Da
|P4
|^5
|vm7
|'''P1'''
|^M2
|v4
|P5
|^M6
|v8
|M2
|^M3
|v5
|M6
|^M7
|vM2
|M3
|^A4
|vM6
|M7
|-
|-
|Db
!3rd 3L6s
|^Eb
!ssL-ssL-ssL
|vGb
|Da
|Ab
|Fro
|^Bb
|'''Ru'''
|vDb
|Mu
|Eb
|Fa
|^F
|'''Sho'''
|vAb
|Flo
|Bb
|Lu
|^C
|'''Tha'''
|vEb
|Da
|F
|^G
|vBb
|'''C'''
|^D
|vF
|G
|^A
|vC
|D
|^E
|vG
|A
|^B
|vD
|E
|^F#
|vA
|B
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
1L4s MOS scales (L = ^^M2/vm3, s = ^M2/vvm3)
9L3s MOS scales (L = ^A1/vvm2, s = ^^A1/vm2)  
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!1sn
!1
! colspan="2" |2nds
!2
! colspan="2" |3rds
!3
!4th
!4
!tritone
!5
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
|-
!1st 1L4s
!1st 9L3s
!ssssL
!sLLL-sLLL-sLLL
|Da
|Da
|Ru
|'''Fre'''
|Fo
|Ra
|No
|Mu
|'''Fo'''
|Pu/She
|Sa
|Sa
|'''Lu'''
|Flo
|'''La'''
|Tho
|Tu
|Da
|Da
|-
|-
!2nd 1L4s
!2nd 9L3s
!sssLs
!LsLL-LsLL-LsLL
|Da
|Da
|Ru
|'''Fro'''
|Fo
|'''Ra'''
|'''Sa'''
|No
|Mu
|'''Fa'''
|'''Pu'''
|Sa
|Flo
|'''Lu'''
|'''Tho'''
|'''Tho'''
|Tu
|Da
|Da
|-
|-
!3rd 1L4s
!3rd 9L3s
!ssLss
!LLsL-LLsL-LLsL
|Da
|Ru
|'''Fo'''
|'''Su'''
|Tho
|Da
|-
!4th 1L4s
!sLsss
|Da
|Da
|Fro
|'''Ru'''
|'''Ru'''
|'''Fa'''
|'''No'''
|Su
|Mu
|Tho
|Fa
|'''Sho'''
|'''Sa'''
|Flo
|Lu
|'''Tha'''
|'''Tu'''
|Da
|Da
|-
|-
!5th 1L4s
!4th 9L3s
!Lssss
!LLLs-LLLs-LLLs
|Da
|Da
|'''No'''
|Fro
|Ru
|'''Na'''
|Mu
|Fa
|Fa
|Su
|Pi/Sho
|Tho
|'''Su'''
|Flo
|Lu
|Tha
|'''Ti'''
|Da
|Da
|}
|}
== #7 (P8, P4/3) third-4th ==
* G = vM2/^^m2 = ^~2 = 167¢ - c/3
* EU = v<sup>3</sup>A1 = 0¢
* ^ = (100¢ + 7c) / 3
MOS scales covered:
* 7 = 1L6s (for 6L1s use quarter-5th)
* 8 = 7L1s or 1L7s
* 15 = 7L8s (all but 2 modes) (4\7 < P5 < 3\5)
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
'''solfege (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
|-
!scale
!genspan
!13
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!0
!1
!-1
!2
!-2
!3
!-3
!4
!-4
!5
!-5
!6
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
!1st 5L1s
!solfege
!LLLLLs
|Tho
|Da
|Fla
|Ru
|Shu
|Fo
|Fo
|Na
|Fru
|Do
|Tha
|Flu
|So
|Fa
|Nu
|Ro
|'''Da'''
|Thu
|Lo
|Sa
|Sa
|Lu
|Fu
|'''Do'''
|Mo
|Da
|Ra
|-
|Du
!2nd 5L1s
|To
!LLLLsL
|La
|Da
|Su
|Po
|Ma
|Ru
|Ru
|Fo
|Sa
|'''Lu'''
|'''Tho'''
|Da
|-
|-
!3rd 5L1s
!intervals
!LLLsLL
|vm7
|Da
|m6
|Ru
|^d5
|Fo
|v4
|'''Sa'''
|m3
|'''Su'''
|^m2
|Tho
|v8
|Da
|m7
|^m6
|v5
|P4
|^m3
|vM2
|'''P1'''
|^m7
|vM6
|P5
|^4
|vM3
|M2
|^1
|vM7
|M6
|^5
|vA4
|M3
|^M2
|-
|-
!4th 5L1s
!notes
!LLsLLL
|vBb
|Da
|Ab
|Ru
|^Gb
|'''Fo'''
|vF
|'''Fa'''
|Eb
|Su
|^Db
|Tho
|vC
|Da
|Bb
|-
|^Ab
!5th 5L1s
|vG
!LsLLLL
|F
|Da
|^Eb
|'''Ru'''
|vD
|'''No'''
|'''C'''
|Fa
|^Bb
|Su
|vA
|Tho
|G
|Da
|^F
|-
|vE
!6th 5L1s
|D
!sLLLLL
|^C
|Da
|vB
|'''Du'''
|A
|No
|^G
|Fa
|vF#
|Su
|E
|Tho
|^D
|Da
|}
|}
Similar tables can be made for every mode of 5L6s and 5L11s.
Implied 22edo solfege: Da - Du - Fru - Ro - Ra - Ru/Na - Nu - Mo - Ma/Fo - Fa - Fu - Po/Shu - So - Sa - Su/Fla - Flu - Lo - La/Tho - Tha - Thu - To - Do - Da
 
{| class="wikitable center-all"
== #9 (P8, P11/3) third-11th ==
|+
 
'''solfege in melodic order (Po and Shu switch places when P5 > 13\22 = 709¢)'''
* G = ^4/vv5 = 567¢ - c/3
!index
* EI = v<sup>3</sup>M2 = 0¢
!0
* ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)
!1
 
!2
MOS scales covered:
!3
 
!4
* 5 = 2L3s
!5
* 7 = 2L5s
!6
* 9 = 2L7s
!7
* 11 = 2L9s
!8
* etc. up to 19 = 17L2s
!9
{| class="wikitable center-all"
!10
|+
!11
'''solfege (-a = plain, -u = up, -o = down)'''
!12
!13
!14
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!26
!27
|-
|-
!18
!genspan
!...
!0
!12
!-7
!8
!1
!-6
!-13
!9
!2
!-5
!-12
!10
!3
!-4
!-11
!11
!11
!10
!9
!8
!7
!6
!5
!4
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-10
!-11
!12
!-12
!5
!...
!-2
!-18
!-9
|-
!13
|Sha
!6
|...
!-1
|Fla
!-8
|No
!7
|Flu
!0
|-
!solfege
|Da
|Du
|Fru
|Ro
|Ra
|Ru
|Na
|Na
|Tho
|Nu
|Nu
|Tha
|Mo
|Ma
|Fo
|Fo
|Thu
|Fa
|Fa
|Do
|Fu
|Fu
|'''Da'''
|Po
|Shu
|So
|So
|Du
|Sa
|Sa
|Ro
|Su
|Su
|Ra
|Fla
|Flu
|Lo
|Lo
|Ru
|La
|La
|Mo
|Tho
|Lu
|Tha
|Ma
|Thu
|...
|To
|Pa
|Do
|Da
|-
|-
|d5
!intervals
|...
|P1
|m6
|^1
|vm3
|^m2
|^m6
|vM2
|M2
|^M2
|m3
|m3
|vm7
|^m3
|^m3
|m7
|vM3
|M3
|v4
|v4
|^m7
|P4
|P4
|v8
|^4
|^4
|'''P1'''
|vA4
|^d5
|v5
|v5
|^1
|P5
|P5
|vM2
|^5
|^5
|M2
|m6
|^m6
|vM6
|vM6
|^M2
|M6
|M6
|vM3
|vm7
|^M6
|m7
|M3
|^m7
|...
|vM7
|A4
|v8
|P1
|-
|-
|Gb
!notes
|...
|C
|Ab
|^C
|vEb
|^Db
|^Ab
|vD
|D
|^D
|Eb
|Eb
|vBb
|^Eb
|^Eb
|Bb
|vE
|E
|vF
|vF
|^Bb
|F
|F
|vC
|^F
|^F
|'''C'''
|vF#
|^Gb
|vG
|vG
|^C
|G
|G
|vD
|^G
|^G
|D
|Ab
|^Ab
|vA
|vA
|^D
|A
|A
|vE
|vBb
|^A
|Bb
|E
|^Bb
|...
|vB
|F#
|vC
|C
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L7s MOS scales (L = ^m3/vv4, s = vvM2/^1)
1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!0
!1sn
!1
!2nd
!2
!3rd
!3
!4th
!4
!5th
!5
!6th
!6
!7th
!7
!8ve
!8
!9
|-
|-
!1st 2L7s
!1st 1L6s
!ssssLsssL
!Lssssss
|Da
|Da
|Du
|'''Ra'''
|Ro
|Mo
|Ra
|Fu
|'''Ru'''
|So
|Sa
|Sa
|Su
|Lo
|Lo
|Thu
|Da
|Da
|-
|-
!2nd 2L7s
!2nd 1L6s
!sssLssssL
!sLsssss
|Da
|Da
|Du
|'''Ro'''
|Ro
|'''Mo'''
|Ra
|Fu
|'''Fu'''
|So
|Sa
|Sa
|Su
|Lo
|'''Lo'''
|Thu
|Da
|Da
|-
|-
!3rd 2L7s
!3rd 1L6s
!sssLsssLs
!ssLssss
|Da
|Da
|Du
|Ro
|Ro
|'''Ra'''
|'''Nu'''
|Fu
|'''Fu'''
|So
|Sa
|Sa
|Lo
|Su
|Thu
|'''Do'''
|Da
|Da
|-
|-
!4th 2L7s
!4th 1L6s
!ssLssssLs
!sssLsss
|Da
|Da
|Du
|Ro
|Ro
|Nu
|'''Fa'''
|'''Fa'''
|Fu
|'''Sa'''
|So
|Lo
|Sa
|Thu
|'''Su'''
|Da
|Do
|-
!5th 1L6s
!ssssLss
|Da
|Ro
|Nu
|Fa
|'''So'''
|'''Lo'''
|Thu
|Da
|Da
|-
|-
!5th 2L7s
!6th 1L6s
!ssLsssLss
!sssssLs
|Da
|Da
|Du
|Ro
|'''Ro'''
|Nu
|Fa
|Fa
|Fu
|So
|So
|Sa
|'''Flu'''
|'''Thu'''
|'''Thu'''
|Do
|Da
|Da
|-
|-
!6th 2L7s
!7th 1L6s
!sLssssLss
!ssssssL
|Da
|Da
|Du
|Ro
|'''Fo'''
|Nu
|Fa
|Fa
|Fu
|So
|So
|'''Sa'''
|Flu
|Thu
|'''Tha'''
|Do
|Da
|Da
|}
{| class="wikitable center-all"
|+
7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
|-
|-
!7th 2L7s
!1st 7L1s
!sLsssLsss
!sLLLLLLL
|Da
|Da
|'''Du'''
|'''Du'''
|Fo
|Ra
|Fa
|Mo
|Fu
|Fu
|So
|Sa
|'''Tha'''
|Lo
|Thu
|Thu
|Do
|Da
|Da
|-
|-
!8th 2L7s
!2nd 7L1s
!LssssLsss
!LsLLLLLL
|Da
|Da
|'''Nu'''
|'''Ro'''
|Fo
|'''Ra'''
|Fa
|Mo
|Fu
|Fu
|'''So'''
|Sa
|Tha
|Lo
|Thu
|Thu
|Do
|Da
|Da
|-
|-
!3rd 7L1s
!9th 2L7s
!LLsLLLLL
!LsssLssss
|Da
|Da
|Ro
|Nu
|'''Nu'''
|Fo
|'''Mo'''
|Fa
|Fu
|Fu
|Sa
|'''Tho'''
|Lo
|Tha
|Thu
|Thu
|Da
|Do
|-
|Da
!4th 7L1s
|}
!LLLsLLLL
When the 5th is anywhere near just, the L/s ratio is huge. The notes tend to cluster tightly together. This is why the L step is a 3rd or a 4th, and the s step is a 2nd or even a unison. Thus this 9-note scale never using all 7 degrees, but only 4 or 5 degrees.
|Da
 
|Ro
== <nowiki>#</nowiki>16 (P8/4, P5) quarter-8ve ==
|Nu
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
|'''Fa'''
* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2) = 300¢
|'''Fu'''
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2) = 100¢ + c
|Sa
* EI = ^<sup>4</sup>d2 = 0¢
|Lo
* ^ = 3 '''⋅''' |c|
|Thu
 
|Da
MOS scales covered:
|-
 
!5th 7L1s
* 8 = 4L4s (either solfege)
!LLLLsLLL
* 12 = 8L4s (solfege #1 only) or 4L8s (solfege #2 only)
|Da
* 16 = 12L4s (solfege #2 only) or 4L12s (solfege #2 only)
|Ro
 
|Nu
=== Solfege #1 (P5 > 700¢) ===
|Fa
{| class="wikitable center-all"
|'''So'''
|+
|'''Sa'''
'''solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|Lo
|-
|Thu
! colspan="2" |genspan (gen = P5)
|Da
!-3
|-
!-2
!6th 7L1s
!-1
!LLLLLsLL
!0
|Da
!1
|Ro
!2
|Nu
!3
|Fa
|-
|So
! rowspan="3" |up
|'''Flu'''
 
|'''Lo'''
genchain
|Thu
 
|Da
perspan = 1
|-
!solfege
!7th 7L1s
|Shu
!LLLLLLsL
|Fru
|Da
|Flu
|Ro
|Nu
|Nu
|Thu
|Fa
|Fu
|So
|Du
|Flu
|-
|'''Tha'''
!intervals
|'''Thu'''
|^d5
|Da
|^m2
|-
|^m6
!8th 7L1s
|^m3
!LLLLLLLs
|^m7
|Da
|^4
|Ro
|^1
|Nu
|-
|Fa
!notes
|So
|^Gb
|Flu
|^Db
|Tha
|^Ab
|'''Do'''
|^Eb
|Da
|^Bb
|}
|^F
== #8 (P8, P5/3) third-5th ==
|^C
 
|-
* G = ^M2/vvm3 = 233¢ + c/3
| colspan="9" |
* EU = v<sup>3</sup>m2 = 0¢
|-
* ^ = (100¢ - 5c) / 3
! rowspan="3" |plain
 
 
MOS scales covered:
genchain
 
 
* 5 = 1L4s (for 4L1s use pergen #3, half-4th)
perspan = 0
* 6 = 5L1s
!solfege
* 11 = 5L6s
* 16 = 5L11s
 
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down)'''
|-
!-15
!-14
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
!14
!15
|-
|Fra
|Nu
|Sho
|Fla
|Thu
|Fro
|Na
|Fu
|Flo
|Tha
|Du
|No
|Fa
|Su
|Tho
|'''Da'''
|Ru
|Fo
|Sa
|Lu
|Do
|Ra
|Mu
|So
|La
|Tu
|Ro
|Ma
|Pu
|Lo
|Ta
|-
|m2
|^m3
|vd5
|m6
|^m7
|vm2
|m3
|^4
|vm6
|m7
|^1
|vm3
|P4
|^5
|vm7
|'''P1'''
|^M2
|v4
|P5
|^M6
|v8
|M2
|^M3
|v5
|M6
|^M7
|vM2
|M3
|^A4
|vM6
|M7
|-
|Db
|^Eb
|vGb
|Ab
|^Bb
|vDb
|Eb
|^F
|vAb
|Bb
|^C
|vEb
|F
|^G
|vBb
|'''C'''
|^D
|vF
|G
|^A
|vC
|D
|^E
|vG
|A
|^B
|vD
|E
|^F#
|vA
|B
|}
{| class="wikitable center-all"
|+
1L4s MOS scales (L = ^^M2/vm3, s = ^M2/vvm3)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
|-
!1st 1L4s
!ssssL
|Da
|Ru
|Fo
|Sa
|'''Lu'''
|Da
|-
!2nd 1L4s
!sssLs
|Da
|Ru
|Fo
|'''Sa'''
|'''Tho'''
|Da
|-
!3rd 1L4s
!ssLss
|Da
|Ru
|'''Fo'''
|'''Su'''
|Tho
|Da
|-
!4th 1L4s
!sLsss
|Da
|'''Ru'''
|'''Fa'''
|Su
|Tho
|Da
|-
!5th 1L4s
!Lssss
|Da
|'''No'''
|Fa
|Su
|Tho
|Da
|}
{| class="wikitable center-all"
|+
5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
|-
!1st 5L1s
!LLLLLs
|Da
|Ru
|Fo
|Sa
|Lu
|'''Do'''
|Da
|-
!2nd 5L1s
!LLLLsL
|Da
|Ru
|Fo
|Sa
|'''Lu'''
|'''Tho'''
|Da
|-
!3rd 5L1s
!LLLsLL
|Da
|Ru
|Fo
|'''Sa'''
|'''Su'''
|Tho
|Da
|-
!4th 5L1s
!LLsLLL
|Da
|Ru
|'''Fo'''
|'''Fa'''
|Su
|Tho
|Da
|-
!5th 5L1s
!LsLLLL
|Da
|'''Ru'''
|'''No'''
|Fa
|Su
|Tho
|Da
|-
!6th 5L1s
!sLLLLL
|Da
|'''Du'''
|No
|Fa
|Su
|Tho
|Da
|}
Similar tables can be made for every mode of 5L6s and 5L11s.
 
== #9 (P8, P11/3) third-11th ==
 
* G = ^4/vv5 = 567¢ - c/3
* EU = v<sup>3</sup>M2 = 0¢
* ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)
 
MOS scales covered:
 
* 5 = 2L3s
* 7 = 2L5s
* 9 = 2L7s
* 11 = 2L9s
* etc. up to 19 = 17L2s
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down)'''
|-
!18
!...
!12
!11
!10
!9
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!...
!-18
|-
|Sha
|...
|Fla
|No
|Flu
|Na
|Tho
|Nu
|Tha
|Fo
|Thu
|Fa
|Do
|Fu
|'''Da'''
|So
|Du
|Sa
|Ro
|Su
|Ra
|Lo
|Ru
|La
|Mo
|Lu
|Ma
|...
|Pa
|-
|d5
|...
|m6
|vm3
|^m6
|m3
|vm7
|^m3
|m7
|v4
|^m7
|P4
|v8
|^4
|'''P1'''
|v5
|^1
|P5
|vM2
|^5
|M2
|vM6
|^M2
|M6
|vM3
|^M6
|M3
|...
|A4
|-
|Gb
|...
|Ab
|vEb
|^Ab
|Eb
|vBb
|^Eb
|Bb
|vF
|^Bb
|F
|vC
|^F
|'''C'''
|vG
|^C
|G
|vD
|^G
|D
|vA
|^D
|A
|vE
|^A
|E
|...
|F#
|}
{| class="wikitable center-all"
|+
2L7s MOS scales (L = ^m3/vv4, s = vvM2/^1)
![[Genchain mode numbering|GMN]] name
!scale
!0
!1
!2
!3
!4
!5
!6
!7
!8
!9
|-
!1st 2L7s
!ssssLsssL
|Da
|Du
|Ro
|Ra
|'''Ru'''
|So
|Sa
|Su
|Lo
|Da
|-
!2nd 2L7s
!sssLssssL
|Da
|Du
|Ro
|Ra
|'''Fu'''
|So
|Sa
|Su
|'''Lo'''
|Da
|-
!3rd 2L7s
!sssLsssLs
|Da
|Du
|Ro
|'''Ra'''
|Fu
|So
|Sa
|Su
|'''Do'''
|Da
|-
!4th 2L7s
!ssLssssLs
|Da
|Du
|Ro
|'''Fa'''
|Fu
|So
|Sa
|'''Su'''
|Do
|Da
|-
!5th 2L7s
!ssLsssLss
|Da
|Du
|'''Ro'''
|Fa
|Fu
|So
|Sa
|'''Thu'''
|Do
|Da
|-
!6th 2L7s
!sLssssLss
|Da
|Du
|'''Fo'''
|Fa
|Fu
|So
|'''Sa'''
|Thu
|Do
|Da
|-
!7th 2L7s
!sLsssLsss
|Da
|'''Du'''
|Fo
|Fa
|Fu
|So
|'''Tha'''
|Thu
|Do
|Da
|-
!8th 2L7s
!LssssLsss
|Da
|'''Nu'''
|Fo
|Fa
|Fu
|'''So'''
|Tha
|Thu
|Do
|Da
|-
!9th 2L7s
!LsssLssss
|Da
|Nu
|Fo
|Fa
|Fu
|'''Tho'''
|Tha
|Thu
|Do
|Da
|}
When the 5th is anywhere near just, the L/s ratio is huge. The notes tend to cluster tightly together. This is why the L step is a 3rd or a 4th, and the s step is a 2nd or even a unison. Thus this 9-note scale never using all 7 degrees, but only 4 or 5 degrees.
 
== #10 (P8/3, P4/2) third-8ve half-4th (incomplete) ==
* P = ^\M3 = v\4 = 400¢
* G = ^M2 = vm3 = 250¢ - c/2  '''<u>or</u>'''  \M2 = 150¢ + c/2
* EU = vvm2, \<sup>6</sup>A2, ^\<sup>3</sup>A1 = 0¢
* ^ = 50¢ - 2.5c
* / = 50¢ + 1.5c
 
MOS scales covered:
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, i = lift, -e = drop)'''
|-
! colspan="2" |genspan (gen = ^M2 = vm3)
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
|-
! rowspan="3" |drop
 
genchain
 
perspan = 1
!solfege
|Fe
|Ruwe
|De
|Luwe
|Se
|Muwe
|Re
|Tuwe
|Le
|Puwe
|Me
|-
!intervals
|\4
|^\M2
|\1
|^\M6
|\5
|^\M3
|\M2
|^\M7
|\M6
|^\A4
|\M3
|-
!notes
|\F
|^\D
|\C
|^\A
|\G
|^\E
|\D
|^\B
|\A
|^\F#
|\E
|-
| colspan="13" |
|-
! rowspan="3" |plain
 
genchain
 
perspan = 0
!solfege
|Du / Fro
|Tha
|Su / Flo
|Fa
|Ru / No
|'''Da'''
|Lu / Tho
|Sa
|Mu / Fo
|Ra
|Tu / Do
|-
!intervals
|^1 = vm2
|m7
|^5 = vm6
|P4
|^M2 = vm3
|'''P1'''
|^M6 = vm7
|P5
|^M3 = v4
|M2
|^M7 = v8
|-
!notes
|^C = vDb
|Bb
|^G = vAb
|F
|^D = vEb
|'''C'''
|^A = vBb
|G
|^E = vF
|D
|^B = vC
|-
| colspan="13" |
|-
! rowspan="3" |lift
 
genchain
 
perspan = -1
!solfege
|Fli
|Showi
|Ni
|Frowi
|Thi
|Flowi
|Fi
|Nowi
|Di
|Thowi
|Si
|-
!intervals
|/m6
|v/d5
|/m3
|v/m2
|/m7
|v/m6
|/4
|v/m3
|/1
|v/m7
|/5
|-
!notes
|/Ab
|v/Gb
|/Eb
|v/Db
|/Bb
|v/Ab
|/F
|v/Eb
|/C
|v/Bb
|/G
|}
{| class="wikitable center-all"
|+
'''solfege (-a = plain, -u = up, -o = down, i = lift, -e = drop''' mingen format''')'''
|-
! colspan="2" |genspan (gen = \M2 = v//A1)
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
|-
! rowspan="3" |Sa's
 
genchain
 
perspan = 1
!solfege
|Fli
|Tha
|De
|Frowi
|Ru / No
|Muwe
|Fi
|Sa
|Le
|Thowi
|Tu / Do
|-
!intervals
|/m6
|m7
|\1
|v/m2
|^M2 = vm3
|^\M3
|/4
|P5
|\M6
|v/m7
|^M7 = v8
|-
!notes
|/Ab
|Bb
|\C
|v/Db
|^D = vEb
|^\E
|/F
|G
|\A
|v/Bb
|^B = vC
|-
| colspan="13" |
|-
! rowspan="3" |Da's
 
genchain
 
perspan = 0
!solfege
|Fe
|Showi
|Su / Flo
|Luwe
|Thi
|'''Da'''
|Re
|Nowi
|Mu / Fo
|Puwe
|Si
|-
!intervals
|\4
|v/d5
|^5 = vm6
|^\M6
|/m7
|'''P1'''
|\M2
|v/m3
|^M3 = v4
|^\A4
|/5
|-
!notes
|\F
|v/Gb
|^G = vAb
|^\A
|/Bb
|'''C'''
|\D
|v/Eb
|^E = vF
|^\F#
|/G
|-
| colspan="13" |
|-
! rowspan="3" |Fa's
 
genchain
 
perspan = -1
!solfege
|Du / Fro
|Ruwe
|Ni
|Fa
|Se
|Flowi
|Lu / Tho
|Tuwe
|Di
|Ra
|Me
|-
!intervals
|^1 = vm2
|^\M2
|/m3
|P4
|\5
|v/m6
|^M6 = vm7
|^\M7
|/1
|M2
|\M3
|-
!notes
|^C = vDb
|^\D
|/Eb
|F
|\G
|v/Ab
|^A = vBb
|^\B
|/C
|D
|\E
|}
 
== <nowiki>#</nowiki>16 (P8/4, P5) quarter-8ve ==
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2) = 300¢
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2) = 100¢ + c
* EU = ^<sup>4</sup>d2 = 0¢
* ^ = 3 '''⋅''' |c|
 
MOS scales covered:
 
* 8 = 4L4s (either solfege)
* 12 = 8L4s (solfege #1 only) or 4L8s (solfege #2 only)
* 16 = 12L4s (solfege #2 only) or 4L12s (solfege #2 only)
 
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
|-
! colspan="2" |genspan (gen = P5)
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |up
 
genchain
 
perspan = 1
!solfege
|Shu
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|-
!notes
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|^F
|^C
|-
| colspan="9" |
|-
! rowspan="3" |plain
 
genchain
 
perspan = 0
!solfege
|Na
|Na
|Tha
|Tha
Line 15,985: Line 16,797:
== #17 (P8, P4/4) quarter-4th ==
== #17 (P8, P4/4) quarter-4th ==
* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1 = 125¢ - c/4
* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1 = 125¢ - c/4
* EI's = ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, etc.
* EU's = ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, etc.
* ^ = 25¢ + 4.75c
* ^ = 25¢ + 4.75c
* / = 50¢ - 2.5c
* / = 50¢ - 2.5c
Line 16,494: Line 17,306:
== <nowiki>#</nowiki>18 (P8, P5/4) quarter-5th ==
== <nowiki>#</nowiki>18 (P8, P5/4) quarter-5th ==
* G = vM2 = ^<sup>3</sup>m2 = 175¢ + c/4
* G = vM2 = ^<sup>3</sup>m2 = 175¢ + c/4
* EI = v<sup>4</sup>A1 = 0¢
* EU = v<sup>4</sup>A1 = 0¢
* ^ = 25¢ + 1.75c
* ^ = 25¢ + 1.75c


Line 16,736: Line 17,548:
== <nowiki>#</nowiki>19 (P8, P11/4) quarter-11th ==
== <nowiki>#</nowiki>19 (P8, P11/4) quarter-11th ==
* G = ^M3 = v<sup>3</sup>4 = v\4 = v/d4 = ^//m3 = 425¢ - c/4
* G = ^M3 = v<sup>3</sup>4 = v\4 = v/d4 = ^//m3 = 425¢ - c/4
* EI's = v<sup>4</sup>dd3, \\A1, vv\m2, vv/d2, etc.
* EU's = v<sup>4</sup>dd3, \\A1, vv\m2, vv/d2, etc.
* ^ = 25¢ - 4.25c
* ^ = 25¢ - 4.25c
* / = 50¢ + 3.5c
* / = 50¢ + 3.5c
Line 17,208: Line 18,020:


* G = v4 = ^<sup>3</sup>M3 = 475¢ + c/4
* G = v4 = ^<sup>3</sup>M3 = 475¢ + c/4
* EI = v<sup>4</sup>m2 = 0¢
* EU = v<sup>4</sup>m2 = 0¢
* ^ = 25¢ - 1.25c
* ^ = 25¢ - 1.25c


Line 17,537: Line 18,349:
* P = ^^4 = vv5 = 600¢
* P = ^^4 = vv5 = 600¢
* G = ^1 = v<sup>3</sup>M2 = 50¢ + c/2
* G = ^1 = v<sup>3</sup>M2 = 50¢ + c/2
* EI = v<sup>4</sup>M2 = 0¢
* EU = v<sup>4</sup>M2 = 0¢
* ^ = 50¢ + c/2
* ^ = 50¢ + c/2


Line 18,153: Line 18,965:
* P = ^^M2 = v<sup>3</sup>m3 = 240¢
* P = ^^M2 = v<sup>3</sup>m3 = 240¢
* G = P5 = 700¢ + c '''<u>or</u>''' ^1 = v<sup>4</sup>m2 = 20¢ - c
* G = P5 = 700¢ + c '''<u>or</u>''' ^1 = v<sup>4</sup>m2 = 20¢ - c
* EI = v<sup>5</sup>m2 = 0¢
* EU = v<sup>5</sup>m2 = 0¢
* ^ = 20¢ - c
* ^ = 20¢ - c


Line 18,725: Line 19,537:


* G = ^^m2 = v<sup>3</sup>A1 = 100¢ - c/5
* G = ^^m2 = v<sup>3</sup>A1 = 100¢ - c/5
* EI = ^<sup>5</sup>d2 = 0¢
* EU = ^<sup>5</sup>d2 = 0¢
* ^ = 2.4c
* ^ = 2.4c


Line 19,173: Line 19,985:


* G = vM2 = ^<sup>4</sup>d1 = 140¢ + c/5
* G = vM2 = ^<sup>4</sup>d1 = 140¢ + c/5
* EI = v<sup>5</sup>A2 = 0¢
* EU = v<sup>5</sup>A2 = 0¢
* ^ = 60¢ + 1.8c
* ^ = 60¢ + 1.8c


Line 19,543: Line 20,355:


* G = ^^m3 = v<sup>3</sup>M3 = 340¢ - c/5
* G = ^^m3 = v<sup>3</sup>M3 = 340¢ - c/5
* EI = v<sup>5</sup>A1 = 0¢
* EU = v<sup>5</sup>A1 = 0¢
* ^ = 20¢ + 1.4c
* ^ = 20¢ + 1.4c


Line 19,758: Line 20,570:
This pergen can be thought of as "half-dudaug5th".
This pergen can be thought of as "half-dudaug5th".
* G = vM3 = ^\d4 = //A2 = 380¢ + c/5
* G = vM3 = ^\d4 = //A2 = 380¢ + c/5
* EI's = ^<sup>5</sup>dd2, \<sup>5</sup>d<sup>3</sup>4, ^^\d2, v\\m2, etc.
* EU's = ^<sup>5</sup>dd2, \<sup>5</sup>d<sup>3</sup>4, ^^\d2, v\\m2, etc.
* ^ = 20¢ + 3.8c
* ^ = 20¢ + 3.8c
* / = 40¢ - 4.4c
* / = 40¢ - 4.4c
Line 20,130: Line 20,942:
==<nowiki>#</nowiki>38 (P8, ccP4/5) fifth-coco-4th ==
==<nowiki>#</nowiki>38 (P8, ccP4/5) fifth-coco-4th ==
* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5
* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5
* EI = v<sup>5</sup>M2 = 0¢
* EU = v<sup>5</sup>M2 = 0¢
* ^ = 40¢ + 0.4c
* ^ = 40¢ + 0.4c


Line 20,485: Line 21,297:
*P = M2/m3 = 200¢
*P = M2/m3 = 200¢
*G = ^1 = c (stands for 81/80 in Blackwood)
*G = ^1 = c (stands for 81/80 in Blackwood)
*EI = d2 = 0¢
*EU = d2 = 0¢
*^ = c
*^ = c


Line 20,940: Line 21,752:
*P = M2/m2 = 171¢
*P = M2/m2 = 171¢
*G = ^1 = c (stands for 135/128 in Whitewood)
*G = ^1 = c (stands for 135/128 in Whitewood)
*EI = A1 = 0¢
*EU = A1 = 0¢
*^ = c
*^ = c


Line 21,321: Line 22,133:
!
!
! colspan="2" |pergen
! colspan="2" |pergen
!EI
!EU
!vowels
!vowels
!perchain and/or genchain
!perchain and/or genchain
Line 21,356: Line 22,168:
!4
!4
| (P8, P5/2)
| (P8, P5/2)
|half-4th
|half-5th
|vvA1
|vvA1
| -a -u -o
| -a -u -o
Line 21,365: Line 22,177:
!5
!5
|(P8/2, P4/2)
|(P8/2, P4/2)
true double
|half-everything
|half-everything
|vvm2, \\A1, vv\\M2
|vvm2, \\A1, vv\\M2
|  -a -u -o -i -e
|  -a -u -o -i -e<br>-uwi -owe
-uwi -owe
|Da - Ru/No - Fa<br>Fuwi/Sowe - Fli/Le - Duwi/Rowe<br>Da - Ni/Me - Sa
|Da - Fuwi/Sowe - Da<br>Da - Ru/No - Fa<br>Da - Ni/Me - Sa  
|(2 4...) (0 -2...)
|(2 4...) (0 -2...)
|  
|  
Line 21,411: Line 22,223:
!10
!10
|(P8/3, P4/2)
|(P8/3, P4/2)
|third-8ve
|third-8ve<br>half-4th
half-4th
|vvm2, \<sup>6</sup>A2
|'''^<sup>3</sup>d2''', \\m2
| -a -u -o -i -e<br>-owi -uwe
| -a -u -o -i -e
|Muwe - Se - Luwe<br>Da - Ru/No - Fa<br>Flowi - Thi - Frowi
-uwi -owe
|'''Da - Mo - Flu - Da'''
Da - Ri/Ne - Fa
|(3 6...) (0 -2...)
|(3 6...) (0 -2...)
|7\12 = 700¢
|
|-
|-
!12
!12
Line 21,426: Line 22,235:
third-4th
third-4th
|'''^^d2''', \<sup>3</sup>A1
|'''^^d2''', \<sup>3</sup>A1
| -a -u -o -i -e
| -a -u -o -i -e<br>-uwi -uwe -owi -owe
-uwi -uwe -owi -owe
|Da - Re - Ni - Fa<br>'''Po/Shu - Fluwe - Lowi - To'''
|'''Da - Po/Shu - Da'''
Da - Re - Ni - Fa
 
Po/Shu - Fluwe - Lowi - To
|(2 4...) (0 -3...)
|(2 4...) (0 -3...)
|7\12 = 700¢
|7\12 = 700¢
Line 21,547: Line 22,352:
|sixth-4th
|sixth-4th
|v<sup>3</sup>A1, \\m2
|v<sup>3</sup>A1, \\m2
| -a -u -o -i -e
| -a -u -o -i -e<br>-uwi -uwe -owi -owe
-uwi -uwe -owi -owe
|Da - Duwi/Fruwe - Ro - Ri/Ne -<br>- Nu - Mowi/Fowe - Fa
|Da - Duwi/Fruwe - Ro - Ri/Ne
- Nu - Mowi/Fowe - Fa
|(1 2...) (0 -6...)
|(1 2...) (0 -6...)
|
|
Line 21,559: Line 22,362:
|vvvm2, \\A1
|vvvm2, \\A1
| -a -u -o -i -e<br>-uwe -owi
| -a -u -o -i -e<br>-uwe -owi
|Da - Frowi - Ru - Ni/Me -
|Da - Frowi - Ru - Ni/Me -<br>- Fo - Puwe - Sa
- Fo - Puwe - Sa
|(1 1...) (0 6...)
|(1 1...) (0 6...)
|
|-
!67
|(P8, P11/6)
|sitxh-11th
|vvA1, \<sup>3</sup>M2
| -a -u -o -i -e<br>-uwe -owi
|Da - Nuwe - Fi - Flu/Lo -<br>- Do - Rowi - Fa
|(1 3...) (0 -6...)
|
|
|-
|-
Line 21,571: Line 22,382:
|Da - Nowi - Se - Lu/Tho -<br>- Di - Muwe - Sa
|Da - Nowi - Se - Lu/Tho -<br>- Di - Muwe - Sa
|(1 0...) (0 6...)
|(1 0...) (0 6...)
|
|-
!70
|(P8, ccP5/6)
|sixth-coco-5th
|v<sup>6</sup>A1
| -a -u -o -i -e<br>-iyu -eyo
|Da - Fu - Thi - Niyu/Meyo -<br>- Le - Ro - Sa
|(1 -1...) (0 -6...)
|
|
|-
|-
Line 21,578: Line 22,398:
|v<sup>7</sup>A2
|v<sup>7</sup>A2
| -a -u -o -i -e<br>-iyu -eyo
| -a -u -o -i -e<br>-iyu -eyo
|Da - Meyo - Fu - Le -  
|Da - Meyo - Fu - Le -<br>- Thi - Ro - Niyu - Sa
- Thi - Ro - Niyu - Sa
|(1 0...) (0 7...)
|(1 0...) (0 7...)
|
|
Line 21,587: Line 22,406:
Multi-edo pergens -- genchain is always De Do Da Du Di
Multi-edo pergens -- genchain is always De Do Da Du Di
! colspan="2" |pergen
! colspan="2" |pergen
!EI
!EU
!period
!period
!perchain
!perchain
Line 21,598: Line 22,417:
|P4 / P5
|P4 / P5
|Da - Fa/Sa - Da
|Da - Fa/Sa - Da
|(2 3...)
|(2 3...) (0 0...)
(0 0...)
|silly, 9/8 vanishes
|silly, 9/8 vanishes
|-
|-
Line 21,607: Line 22,425:
|M2 / P4
|M2 / P4
|Da - Fa - Sa - Da
|Da - Fa - Sa - Da
|(3 5...)
|(3 5...) (0 0...)
(0 0...)
|silly, 32/27 vanishes
|silly, 32/27 vanishes
|-
|-
Line 21,616: Line 22,433:
|??
|??
|Da - ?? - Fa/Sa - ?? - Da
|Da - ?? - Fa/Sa - ?? - Da
|(4 6...)
|(4 6...) (0 0...)
(0 0...)
|silly, 9/8 vanishes<br>multi-ring
|silly, 9/8 vanishes
multi-ring
|-
|-
| (P8/5, ^1)
| (P8/5, ^1)
Line 21,626: Line 22,441:
|M2 / m3
|M2 / m3
|Da - Ra/Na - Ma/Fa - Sa/Fla - La/Tha- Da
|Da - Ra/Na - Ma/Fa - Sa/Fla - La/Tha- Da
|(5 8...)
|(5 8...) (0 0...)
 
|if Blackwood,<br>generator = 16/15
(0 0...)
|if Blackwood,
generator = 16/15
|-
|-
|(P8/7, ^1)
|(P8/7, ^1)
Line 21,637: Line 22,449:
|M2 / m2
|M2 / m2
|Da - Ra - Ma - Fa - Sa - La - Ta - Da
|Da - Ra - Ma - Fa - Sa - La - Ta - Da
|(7 11...)
|(7 11...) (0 0...)
(0 0...)
|if Whitewood,<br>generator = 135/128
|if Whitewood,
generator = 135/128
|-
|-
|(P8/10, ^1)
|(P8/10, ^1)
Line 21,647: Line 22,457:
|???
|???
|Da - Fra - Ra/Na - Ma - Fa - Pa/Sha - Sa - Fla - La/Tha - Ta - Da
|Da - Fra - Ra/Na - Ma - Fa - Pa/Sha - Sa - Fla - La/Tha - Ta - Da
|(10 16...)
|(10 16...) (0 0...)
(0 0...)
|'''solfege names'''<br>'''may be wrong'''
|'''solfege names'''
'''may be wrong'''
|-
|-
|(P8/12, ^1)
|(P8/12, ^1)
Line 21,657: Line 22,465:
|A1 / m2
|A1 / m2
|Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
|Da - Fra - Ra - Na - Ma - Fa - Pa/Sha - Sa - Fla - La - Tha - Ta - Da
|(12 19 28...)  
|(12 19 28...) (0 0 -1...)
(0 0 -1...)
|if Compton,<br>generator = 81/80
|if Compton,
generator = 81/80
|}
|}
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