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Line 11,932: Line 11,932:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1) Sa must be > 700¢
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1) if Sa < 700¢, swap L and s for 9L3s
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
Line 12,009: Line 12,009:
|Da
|Da
|}
|}
If Sa is < 700¢, L and s switch and you get 9L3s. The 1st mode becomes sLLL-sLLL-sLLL. This solfege still works.
Similar tables can be made for 15, 18 and 21-note scales.
Similar tables can be made for 15, 18 and 21-note scales.


Line 12,625: Line 12,623:
|Da
|Da
|}
|}
Similar tables can be made for 5L6s and 5L11s.
Similar tables can be made for every mode of 5L6s and 5L11s.


== #9 (P8, P11/3) ==
== #9 (P8, P11/3) ==
Line 12,640: Line 12,638:
* etc. up to 19 = 17L2s
* etc. up to 19 = 17L2s


The up is quite large. ^1 = 67¢ + 0.67 * c, where Sa = 700¢ + c
The up is quite large, a literal third-tone. ^1 = 67¢ + 0.67*c, where Sa = 700¢ + c.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
Line 12,798: Line 12,796:
|F#
|F#
|}
|}
<nowiki>#</nowiki>16 (P8/4, P5)
{| 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
!LsssLssss
|Da
|Nu
|Fo
|Fa
|Fu
|'''Tho'''
|Tha
|Thu
|Do
|Da
|-
!2nd 2L7s
!LssssLsss
|Da
|'''Nu'''
|Fo
|Fa
|Fu
|'''So'''
|Tha
|Thu
|Do
|Da
|-
!3rd 2L7s
!sLsssLsss
|Da
|'''Du'''
|Fo
|Fa
|Fu
|So
|'''Tha'''
|Thu
|Do
|Da
|-
!4th 2L7s
!sLssssLss
|Da
|Du
|'''Fo'''
|Fa
|Fu
|So
|'''Sa'''
|Thu
|Do
|Da
|-
!5th 2L7s
!ssLsssLss
|Da
|Du
|'''Ro'''
|Fa
|Fu
|So
|Sa
|'''Thu'''
|Do
|Da
|-
!6th 2L7s
!ssLssssLs
|Da
|Du
|Ro
|'''Fa'''
|Fu
|So
|Sa
|'''Su'''
|Do
|Da
|-
!7th 2L7s
!sssLsssLs
|Da
|Du
|Ro
|'''Ra'''
|Fu
|So
|Sa
|Su
|'''Do'''
|Da
|-
!8th 2L7s
!sssLssssL
|Da
|Du
|Ro
|Ra
|'''Fu'''
|So
|Sa
|Su
|'''Lo'''
|Da
|-
!9th 2L7s
!ssssLsssL
|Da
|Du
|Ro
|Ra
|'''Ru'''
|So
|Sa
|Su
|Lo
|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.
 
== <nowiki>#</nowiki>16 (P8/4, P5) ==
* P = ^m3/v<sup>3</sup>A2, G = P5
* EI = ^<sup>4</sup>d2
 
MOS scales covered:
 
* 8 = 4L4s
* 12 = 8L4s or 4L8s (Sa < 7\12 = 700¢)
* 16 = 12L4s or 4L12s (Sa < 9\16 = 675¢)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
| colspan="2" rowspan="2" |
! colspan="7" |genspan
|-
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |up
 
genchain
!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
!solfege
|Na
|Tha
|Fa
|'''Da'''
|Sa
|Ra
|La
|-
!intervals
|m3
|m7
|P4
|'''P1'''
|P5
|M2
|M6
|-
!notes
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|-
| colspan="9" |
|-
! rowspan="3" |down
 
genchain
!solfege
|Do
|So
|Ro
|Lo
|Mo
|To
|Po
|-
!intervals
|v8
|v5
|vM2
|vM6
|vM3
|vM7
|vA4
|-
!notes
|vC
|vG
|vD
|vA
|vE
|vB
|vF#
|-
| colspan="9" |
|-
! rowspan="3" |dup/dud
 
genchain
!solfege
|Le
|Me
|Te
|Pe/Shi
|Fri
|Fli
|Ni
|-
!intervals
|vvM6
|vvM3
|vvM7
|vvA4/^^d5
|^^m2
|^^m6
|^^m3
|-
!notes
|vvA
|vvE
|vvB
|vvF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|}
{| class="wikitable center-all"
|+
4L4s MOS scales (L = vM2/^^^d3 , s = vvA1/^^m2)
 
if Sa > 5\8 = 750¢, swap L and s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!1
!2
!3
!4
!5
!6
!7
!8ve
|-
!1st 4L4s
!sL-sL-sL-sL
|Da
|'''Fri'''
|Nu
|'''Mo'''
|Shi
|'''Sa'''
|Lo
|'''Thu'''
|Da
|-
!2nd 4L4s
!Ls-Ls-Ls-Ls
|Da
|'''Ro'''
|Nu
|'''Fa'''
|Pe
|'''Flu'''
|Lo
|'''Te'''
|Da
|}
{| class="wikitable center-all"
|+
8L4s MOS scales (L = vvA1/^^m2, s = vvvA1/^m2) if Sa < 700¢, swap L and s for 4L8s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
!1st 8L4s
!LLs-LLs-LLs-LLs
|Da
|Fri
|'''Ra'''
|Nu
|Mo
|'''Fu'''
|Shi
|Sa
|'''Fli'''
|Lo
|Thu
|'''To'''
|Da
|-
!2nd 8L4s
!LsL-LsL-LsL-LsL
|Da
|'''Fri'''
|'''Ro'''
|Nu
|'''Mo'''
|'''Fa'''
|Pe/Shi
|'''Sa'''
|'''Flu'''
|Lo
|'''Thu'''
|'''Te'''
|Da
|-
!3rd 8L4s
!sLL-sLL-sLL-sLL
|Da
|'''Fru'''
|Ro
|Nu
|'''Me'''
|Fa
|Pe
|'''So'''
|Flu
|Lo
|'''Tha'''
|Te
|Da
|}
 
== #17 (P8, P4/4) ==
* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1, etc.
* EI's: ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, and any combo of these
* ^ = 25¢ + 4.75c, / = 50¢ - 2.5c
 
MOS scales covered:
 
* 8 = 1L7s
* 9 = 1L8s
* 10 = 9L1s (all but 2 modes)
* 11 = 10L1s (all but 4 modes) Sa > 3\5 = 720¢
* etc.
 
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
| rowspan="2" |
! colspan="17" |genspan
|-
!8
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
|-
!solfege
|Tha
|Lo
|Si
Fle
|Shu
|Fa
|Mo
|Ri
Ne
|Fru
|'''Da'''
|To
|Li
The
|Flu
|Sa
|Po
|Mi
Fe
|Nu
|Ra
|-
!intervals
|m7
|vM6
|/5
\m6
|^d5
|P4
|vM3
|/M2
\m3
|^m2
|'''P1'''
|vM7
|/M6
\m7
|^m6
|P5
|vA4
|/M3
\4
|^m3
|M2
|-
!notes
|Bb
|vA
|/G
\Ab
|^Gb
|F
|vE
|/D
\Eb
|^Db
|'''C'''
|vB
|/A
\Bb
|^Ab
|G
|vF#
|/E
\F
|^Eb
|D
|}
{| class="wikitable center-all"
|+
1L7s MOS scales (L = ^m3 = v/A2, s = ^m2 = v/A1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 1L8s
!sssssssL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|'''Tha'''
|Da
|-
!2nd 1L8s
!ssssssLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|'''To'''
|Da
|-
!3rd 1L8s
!sssssLss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''Li/The'''
|To
|Da
|-
!4th 1L8s
!ssssLsss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Flu'''
|Li/The
|To
|Da
|-
!5th 1L8s
!sssLssss
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!6th 1L8s
!ssLsssss
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!7th 1L8s
!sLssssss
|Da
|Fru
|'''Ri/Ne'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!8th 1L8s
!Lsssssss
|Da
|'''Fru'''
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|}
{| class="wikitable center-all"
|+
1L8s MOS scales (L = M2 = rhymes, s = ^m2 = v/A1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!5th
!6th
!
!7th
!8ve
|-
!1st 1L8s
!ssssssssL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|'''Tha'''
|Da
|-
!2nd 1L8s
!sssssssLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|'''To'''
|Da
|-
!3rd 1L8s
!ssssssLss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''Li/The'''
|To
|Da
|-
!4th 1L8s
!sssssLsss
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Flu'''
|Li/The
|To
|Da
|-
!5th 1L8s
!ssssLssss
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!6th 1L8s
!sssLsssss
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!7th 1L8s
!ssLssssss
|Da
|Fru
|'''Ri/Ne'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!8th 1L8s
!sLsssssss
|Da
|'''Fru'''
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!9th 1L8s
!Lssssssss
|Da
|'''Ra'''
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|}
{| class="wikitable center-all"
|+
9L1s MOS scales (L = ^m2 = v/A1, s = vA1 = ^\m2) Sa must be > 5\9 = 667¢
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!4th
!tritone
!5th
!6th
!
!7th
!8ve
|-
!1st 9L1s
!LLLLLLLLLs
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|Tha
|'''???'''
|Da
|-
!2nd 9L1s
!LLLLLLLLsL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|Lo
|'''Tha'''
|'''To'''
|Da
|-
!3rd 9L1s
!LLLLLLLsLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|Si/Fle
|'''Lo'''
|'''Li/The'''
|'''To'''
|Da
|-
!4th 9L1s
!LLLLLLsLLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|Shu
|'''Si/Fle'''
|'''Flu'''
|Li/The
|To
|Da
|-
!5th 9L1s
!LLLLLsLLLL
|Da
|Fru
|Ri/Ne
|Mo
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Li/The
|To
|Da
|-
!6th 9L1s
!LLLLsLLLLL
|Da
|Fru
|Ri/Ne
|Mo
|'''Fa'''
|'''Po'''
|Sa
|Flu
|Li/The
|To
|Da
|-
!7th 9L1s
!LLLsLLLLLL
|Da
|Fru
|Ri/Ne
|'''Mo'''
|'''Mi/Fe'''
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!8th 9L1s
!LLsLLLLLLL
|Da
|Fru
|'''Ri/Ne'''
|'''Nu'''
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!9th 9L1s
!LsLLLLLLLL
|Da
|'''Fru'''
|'''Ra'''
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|-
!10th 9L1s
!sLLLLLLLLL
|Da
|'''???'''
|Ra
|Nu
|Mi/Fe
|Po
|Sa
|Flu
|Li/The
|To
|Da
|}
The first and last modes contain ^d8=^Cb and vA1=vC# respectively, but the solfege has no name for those.
 
 
<nowiki>#</nowiki>18 (P8, P5/4)
 
 
 


↵#17 (P8, P4/4)


↵#18 (P8, P5/4)


↵#19 (P8, P11/4)
<nowiki>#</nowiki>19 (P8, P11/4)


↵#20 (P8, P12/4)
<nowiki>#</nowiki>20 (P8, P12/4)


↵#22 (P8/2, M2/4)
<nowiki>#</nowiki>22 (P8/2, M2/4)


↵#33 (P8/5, P5)
<nowiki>#</nowiki>33 (P8/5, P5)


↵#34 (P8, P4/5)
<nowiki>#</nowiki>34 (P8, P4/5)


↵#35 (P8, P5/5)
<nowiki>#</nowiki>35 (P8, P5/5)


↵#36 (P8, P11/5)
<nowiki>#</nowiki>36 (P8, P11/5)


↵#37 (P8, P12/5)
<nowiki>#</nowiki>37 (P8, P12/5)


↵#38 (P8, ccP4/5)
<nowiki>#</nowiki>38 (P8, ccP4/5)
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