Xenharmonic Wiki

User:TallKite/Solfeges: Difference between revisions

← Older editNewer edit →
VisualWikitext
TallKite (talk | contribs)
autopatrolled, Sysops
4,223 edits
No edit summary
TallKite (talk | contribs)
autopatrolled, Sysops
4,223 edits
WIP
Line 9,475: Line 9,475:


* P = P8, G = P5
* P = P8, G = P5
* EI = vA1 (extended solfege only)
* EI = vA1 = 0¢ (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)


MOS scales covered:
MOS scales covered:


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


{| class="wikitable center-all"
{| class="wikitable center-all"
Line 10,030: Line 10,030:
|Da
|Da
|}
|}
Meantone keyboards were usually tuned to the 4th mode (Eb not D# and G# not Ab).
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:
The sequence of scales starts off with 6 sharps and ends with 7 flats and 3 double-flats:
Line 10,045: Line 10,045:


== #2 (P8/2, P5) ==
== #2 (P8/2, P5) ==
There are two solfeges, choose depending on the size of the 5th.
There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.


* P = vA4/^d5 (#1 solfege) '''<u>or</u>''' ^A4/vd5 (#2 solfege)
* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2)
* G = P5 '''<u>or</u>''' vA1/^m2 (#1 solfege) '''<u>or</u>''' ^A1/vm2 (#2 solfege)
* G = P5 '''<u>or</u>''' vA1/^m2 (solfege #1) '''<u>or</u>''' ^A1/vm2 (solfege #2)
* EI = ^^d2 (#1 solfege) '''<u>or</u>''' vvd2 (#2 solfege)
* EI = ^^d2 (solfege #1) '''<u>or</u>''' vvd2 (solfege #2)
* ^ = 6 '''⋅''' |c|


MOS scales covered:
MOS scales covered:


* 8 = 2L6s or 6L2s (#1 solfege only, Sa > 5\8 = 750¢)
* 8 = 2L6s (either solfege) or 6L2s (solfege #1 only, P5 > 5\8 = 750¢)
* 10 = 2L8s or 8L2s (#1 solfege only, Sa > 3\5 = 720¢)
* 10 = 2L8s (either solfege) or 8L2s (solfege #1 only, P5 > 3\5 = 720¢)
* 12 = 10L2s (#1 solfege only) or 2L10s (#2 solfege only)
* 12 = 10L2s (solfege #1 only) or 2L10s (solfege #2 only)
* 14 = 12L2s (#2 solfege only)
* 14 = 12L2s (solfege #2 only)
* scales of 6 or fewer notes are subsets of these


=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
| colspan="2" rowspan="2" |
! colspan="13" |genspan
! colspan="13" |genspan ('''gen = P5''')
|-
|-
!-6
!-6
Line 10,179: Line 10,180:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L6s MOS scales using solfege #1 (L = m3/vvA3, s = vA1/^m2)
'''uniform solfege #1 (P5 > 700¢) (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
| colspan="2" rowspan="2" |
!scale
! colspan="13" |genspan ('''gen = vA1/^m2''')
|-
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 10,189: Line 10,197:
!5
!5
!6
!6
!7
!8
|-
|-
!1st 2L6s
! rowspan="3" |Da's
!sssL-sssL
 
|Da
genchain
!solfege
|Sha
|So
|Fla
|Lo
|Tha
|To
|'''Da'''
|Fru
|Fru
|Ra
|Ra
|'''Nu'''
|Nu
|Shu
|Ma
|Sa
|Fu
|Flu
|Pa
|'''La'''
|Da
|-
|-
!2nd 2L6s
!intervals
!ssLs-ssLs
|d5
|Da
|v5
|Fru
|m6
|'''Ra'''
|vM6
|'''Fa'''
|m7
|vM7
|'''P1'''
|^m2
|M2
|^m3
|M3
|^4
|A4
|-
!notes
|Gb
|vG
|Ab
|vA
|Bb
|vB
|'''C'''
|^Db
|D
|^Eb
|E
|^F
|F#
|-
| colspan="15" |
|-
! rowspan="3" |Sa's
 
genchain
!solfege
|Do
|Fra
|Ro
|Na
|Mo
|Fa
|Po/Shu
|Po/Shu
|Sa
|Sa
|'''Flu'''
|Flu
|'''To'''
|La
|Da
|Thu
|Ta
|Du
|-
|-
!3rd 2L6s
!intervals
!sLss-sLss
|v8
|Da
|m2
|'''Fru'''
|vM2
|'''Mo'''
|m3
|Fa
|vM3
|Po/Shu
|P4
|'''Sa'''
|vA4/^d5
|'''Tha'''
|P5
|To
|^m6
|Da
|M6
|^m7
|M7
|^1
|-
|-
!4th 2L6s
!notes
!Lsss-Lsss
|vC
|Da
|Db
|'''Na'''
|vD
|Mo
|Eb
|Fa
|vE
|Po
|F
|'''Lo'''
|vF#/^Gb
|Tha
|G
|To
|^Ab
|Da
|A
|^Bb
|B
|^C
|}
|}
The same solfege can be used for 6L2s, but Sa will be > 5\8 = 750¢.
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L8s MOS scales using solfege #1 (L = vM2/^d3, s = vA1/^m2)
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
!2nd
!1
!
!2
!3rd
!3
!
!4
!tritone
!5
!
!6
!6th
!7
!
!8
!7th
!8ve
|-
|-
!1st 2L8s
!1st 2L6s
!ssssL-ssssL
!sssL-sssL
|Da
|Da
|Fru
|Fru
|Ra
|Ra
|Nu
|'''Nu'''
|'''Ma'''
|Po/Shu
|Shu
|Sa
|Sa
|Flu
|Flu
|La
|'''La'''
|'''Thu'''
|Da
|Da
|-
|-
!2nd 2L8s
!2nd 2L6s
!sssLs-sssLs
!ssLs-ssLs
|Da
|Da
|Fru
|Fru
|Ra
|'''Ra'''
|'''Nu'''
|'''Fa'''
|'''Fa'''
|Po/Shu
|Po/Shu
|Sa
|Sa
|Flu
|'''Flu'''
|'''La'''
|'''To'''
|'''To'''
|Da
|Da
|-
|-
!3rd 2L8s
!3rd 2L6s
!ssLss-ssLss
!sLss-sLss
|Da
|Da
|Fru
|'''Fru'''
|'''Ra'''
|'''Mo'''
|'''Mo'''
|Fa
|Fa
|Po/Shu
|Po/Shu
|Sa
|'''Sa'''
|'''Flu'''
|'''Tha'''
|'''Tha'''
|To
|To
|Da
|Da
|-
|-
!4th 2L8s
!4th 2L6s
!sLsss-sLsss
!Lsss-Lsss
|Da
|Da
|'''Fru'''
|'''Na'''
|'''Na'''
|Mo
|Mo
|Fa
|Fa
|Po/Shu
|Po/Shu
|'''Sa'''
|'''Lo'''
|'''Lo'''
|Tha
|To
|Da
|-
!5th 2L8s
!Lssss-Lssss
|Da
|'''Ro'''
|Na
|Mo
|Fa
|Po
|'''Fla'''
|Lo
|Tha
|Tha
|To
|To
|Da
|Da
|}
|}
The same solfege can be used for 8L2s, but Sa will be > 3\5 = 720¢.
 
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
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
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!1sn
! colspan="2" |2nd
!2nd
! colspan="2" |3rd
!
!4th
!3rd
!
!tritone
!tritone
!5th
!
! colspan="2" |6th
!6th
! colspan="2" |7th
!
!7th
!8ve
!8ve
|-
|-
!1st 10L2s
!1st 2L8s
!LLLLLs-LLLLLs
!ssssL-ssssL
|Da
|Da
|Fru
|Fru
|Ra
|Ra
|Nu
|Nu
|Ma
|'''Ma'''
|'''Fu'''
|Po/Shu
|Shu
|Sa
|Sa
|Flu
|Flu
|La
|La
|Thu
|'''Thu'''
|'''Ta'''
|Da
|Da
|-
|-
!2nd 10L2s
!2nd 2L8s
!LLLLsL-LLLLsL
!sssLs-sssLs
|Da
|Da
|Fru
|Fru
|Ra
|Ra
|Nu
|'''Nu'''
|'''Ma'''
|'''Fa'''
|'''Fa'''
|Po/Shu
|Po/Shu
|Sa
|Sa
|Flu
|Flu
|La
|'''La'''
|'''Thu'''
|'''To'''
|'''To'''
|Da
|Da
|-
|-
!3rd 10L2s
!3rd 2L8s
!LLLsLL-LLLsLL
!ssLss-ssLss
|Da
|Da
|Fru
|Fru
|Ra
|'''Ra'''
|'''Nu'''
|'''Mo'''
|'''Mo'''
|Fa
|Fa
|Po/Shu
|Po/Shu
|Sa
|Sa
|Flu
|'''Flu'''
|'''La'''
|'''Tha'''
|'''Tha'''
|To
|To
|Da
|Da
|-
|-
!4th 10L2s
!4th 2L8s
!LLsLLL-LLsLLL
!sLsss-sLsss
|Da
|Da
|Fru
|'''Fru'''
|'''Ra'''
|'''Na'''
|'''Na'''
|Mo
|Mo
|Fa
|Fa
|Po/Shu
|Po/Shu
|Sa
|'''Sa'''
|'''Flu'''
|'''Lo'''
|'''Lo'''
|Tha
|Tha
Line 10,408: Line 10,437:
|Da
|Da
|-
|-
!5th 10L2s
!5th 2L8s
!LsLLLL-LsLLLL
!Lssss-Lssss
|Da
|Da
|'''Fru'''
|'''Ro'''
|'''Ro'''
|Na
|Na
Line 10,417: Line 10,445:
|Fa
|Fa
|Po/Shu
|Po/Shu
|'''Sa'''
|'''Fla'''
|'''Fla'''
|Lo
|Lo
Line 10,423: Line 10,450:
|To
|To
|Da
|Da
|-
|}
!6th 10L2s
 
!sLLLLL-sLLLLL
{| class="wikitable center-all"
|Da
|+
|'''Fra'''
10L2s MOS scales using solfege #1 (L = vA1/^m2, s = vvA1/m2)
|Ro
![[Genchain mode numbering|GMN]] name
|Na
!scale
|Mo
!1sn
|Fa
! colspan="2" |2nds
|Po
! colspan="2" |3rds
|'''So'''
!4th
|Fla
!tritone
|Lo
!5th
|Tha
! colspan="2" |6ths
|To
! colspan="2" |7ths
!8ve
|-
!1st 10L2s
!LLLLLs-LLLLLs
|Da
|Fru
|Ra
|Nu
|Ma
|'''Fu'''
|Shu
|Sa
|Flu
|La
|Thu
|'''Ta'''
|Da
|Da
|}
____________________________________________________________________________________
{| class="wikitable center-all"
|+
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="13" |genspan
|-
|-
!-6
!2nd 10L2s
!-5
!LLLLsL-LLLLsL
!-4
|Da
!-3
|Fru
!-2
|Ra
!-1
|Nu
!0
|'''Ma'''
!1
|'''Fa'''
!2
|Po/Shu
!3
|Sa
!4
|Flu
!5
|La
!6
|'''Thu'''
|'''To'''
|Da
|-
|-
! rowspan="3" |plain
!3rd 10L2s
 
!LLLsLL-LLLsLL
genchain
|Da
!solfege
|Fru
|Sha
|Ra
|Fra
|'''Nu'''
|Fla
|'''Mo'''
|Na
|Tha
|Fa
|Fa
|'''Da'''
|Po/Shu
|Sa
|Sa
|Ra
|Flu
|La
|'''La'''
|Ma
|'''Tha'''
|Ta
|To
|Pa
|Da
|-
|-
!intervals
!4th 10L2s
|d5
!LLsLLL-LLsLLL
|m2
|Da
|m6
|Fru
|m3
|'''Ra'''
|m7
|'''Na'''
|P4
|Mo
|'''P1'''
|Fa
|P5
|Po/Shu
|M2
|Sa
|M6
|'''Flu'''
|M3
|'''Lo'''
|M7
|Tha
|A4
|To
|Da
|-
|-
!notes
!5th 10L2s
|Gb
!LsLLLL-LsLLLL
|Db
|Da
|Ab
|'''Fru'''
|Eb
|'''Ro'''
|Bb
|Na
|F
|Mo
|'''C'''
|Fa
|G
|Po/Shu
|D
|'''Sa'''
|A
|'''Fla'''
|E
|Lo
|B
|Tha
|F#
|To
|Da
|-
!6th 10L2s
!sLLLLL-sLLLLL
|Da
|'''Fra'''
|Ro
|Na
|Mo
|Fa
|Po
|'''So'''
|Fla
|Lo
|Tha
|To
|Da
|}
 
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="13" |genspan ('''gen = P5''')
|-
|-
| colspan="15" |
!-6
!-5
!-4
!-3
!-2
!-1
!0
!1
!2
!3
!4
!5
!6
|-
|-
! rowspan="3" |up/down
! rowspan="3" |plain


genchain
genchain
!solfege
!solfege
|Du
|Sha
|Su
|Fra
|Ru
|Fla
|Lu
|Na
|Mu
|Tha
|Tu
|Fa
|Pu/Sho
|'''Da'''
|Fro
|Sa
|Flo
|Ra
|No
|La
|Tho
|Ma
|Fo
|Ta
|Do
|Pa
|-
|-
!intervals
!intervals
|^1
|d5
|^5
|m2
|^M2
|m6
|^M6
|m3
|^M3
|m7
|^M7
|P4
|^A4/vd5
|'''P1'''
|vm2
|P5
|vm6
|M2
|vm3
|M6
|vm7
|M3
|v4
|M7
|v8
|A4
|-
|-
!notes
!notes
|^C
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up/down
 
genchain
!solfege
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu/Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
!intervals
|^1
|^5
|^M2
|^M6
|^M3
|^M7
|^A4/vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v8
|-
!notes
|^C
|^G
|^G
|^D
|^D
Line 10,561: Line 10,685:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L6s MOS scales using solfege #2 (L = m3/vvA3, s = vA1/^m2)
'''uniform solfege #2 (P5 < 700¢) (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
| colspan="2" rowspan="2" |
!scale
! colspan="13" |genspan (gen = ^A1/vm2)
|-
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 10,571: Line 10,702:
!5
!5
!6
!6
!7
!8
|-
|-
!1st 2L6s
! rowspan="3" |Da's
!sssL-sssL
 
|Da
genchain
!solfege
|Sha
|Su
|Fla
|Lu
|Tha
|Tu
|'''Da'''
|Fro
|Fro
|Ra
|Ra
|'''No'''
|No
|Sho
|Ma
|Sa
|Fo
|Flo
|Pa
|'''La'''
|Da
|-
|-
!2nd 2L6s
!intervals
!ssLs-ssLs
|d5
|Da
|^5
|Fro
|m6
|'''Ra'''
|^M6
|'''Fa'''
|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
!solfege
|Du
|Fra
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|'''Flo'''
|Flo
|'''Tu'''
|La
|Da
|Tho
|Ta
|Do
|-
|-
!3rd 2L6s
!intervals
!sLss-sLss
|^1
|Da
|m2
|'''Fro'''
|^M2
|'''Mu'''
|m3
|Fa
|^M3
|Pu/Sho
|P4
|'''Sa'''
|^A4/vd5
|'''Tha'''
|P5
|Tu
|vm6
|Da
|M6
|vm7
|M7
|v8
|-
|-
!4th 2L6s
!notes
!Lsss-Lsss
|^C
|Da
|Db
|'''Na'''
|^D
|Mu
|Eb
|Fa
|^E
|Pu
|F
|'''Lu'''
|^F#/vGb
|Tha
|G
|Tu
|vAb
|Da
|A
|vBb
|B
|vC
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
2L6s MOS scales using solfege #2 (L = m3/^^A2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!0
!2nd
!1
!
!2
!3rd
!3
!
!4
!tritone
!5
!
!6
!6th
!7
!
!8
!7th
!8ve
|-
|-
!1st 2L8s
!1st 2L6s
!ssssL-ssssL
!sssL-sssL
|Da
|Da
|Fro
|Fro
|Ra
|Ra
|No
|'''No'''
|'''Ma'''
|Pu/Sho
|Sho
|Sa
|Sa
|Flo
|Flo
|La
|'''La'''
|'''Tho'''
|Da
|Da
|-
|-
!2nd 2L8s
!2nd 2L6s
!sssLs-sssLs
!ssLs-ssLs
|Da
|Da
|Fro
|Fro
|Ra
|'''Ra'''
|'''No'''
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|Flo
|'''Flo'''
|'''La'''
|'''Tu'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 2L8s
!3rd 2L6s
!ssLss-ssLss
!sLss-sLss
|Da
|Da
|Fro
|'''Fro'''
|'''Ra'''
|'''Mu'''
|'''Mu'''
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|Sa
|'''Sa'''
|'''Flo'''
|'''Tha'''
|'''Tha'''
|Tu
|Tu
|Da
|Da
|-
|-
!4th 2L8s
!4th 2L6s
!sLsss-sLsss
!Lsss-Lsss
|Da
|Da
|'''Fro'''
|'''Na'''
|'''Na'''
|Mu
|Mu
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|'''Sa'''
|'''Lu'''
|'''Lu'''
|Tha
|Tu
|Da
|-
!5th 2L8s
!Lssss-Lssss
|Da
|'''Ru'''
|Na
|Mu
|Fa
|Pu
|'''Fla'''
|Lu
|Tha
|Tha
|Tu
|Tu
Line 10,711: Line 10,866:
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
2L8s MOS scales using solfege #2 (L = ^M2/vd3, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!1sn
! colspan="2" |2nd
!2nd
! colspan="2" |3rd
!
!4th
!3rd
!
!tritone
!tritone
!5th
!
! colspan="2" |6th
!6th
! colspan="2" |7th
!
!7th
!8ve
!8ve
|-
|-
!1st 2L10s
!1st 2L8s
!sssssL-sssssL
!ssssL-ssssL
|Da
|Da
|Fro
|Fro
|Ra
|Ra
|No
|No
|Ma
|'''Ma'''
|'''Fo'''
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|Flo
|Flo
|La
|La
|Tho
|'''Tho'''
|'''Ta'''
|Da
|Da
|-
|-
!2nd 2L10s
!2nd 2L8s
!ssssLs-ssssLs
!sssLs-sssLs
|Da
|Da
|Fro
|Fro
|Ra
|Ra
|No
|'''No'''
|'''Ma'''
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|Flo
|Flo
|La
|'''La'''
|'''Tho'''
|'''Tu'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 2L10s
!3rd 2L8s
!sssLss-sssLss
!ssLss-ssLss
|Da
|Da
|Fro
|Fro
|Ra
|'''Ra'''
|'''No'''
|'''Mu'''
|'''Mu'''
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|Flo
|'''Flo'''
|'''La'''
|'''Tha'''
|'''Tha'''
|Tu
|Tu
|Da
|Da
|-
|-
!4th 2L10s
!4th 2L8s
!ssLsss-ssLsss
!sLsss-sLsss
|Da
|Da
|Fro
|'''Fro'''
|'''Ra'''
|'''Na'''
|'''Na'''
|Mu
|Mu
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|Sa
|'''Sa'''
|'''Flo'''
|'''Lu'''
|'''Lu'''
|Tha
|Tha
Line 10,788: Line 10,937:
|Da
|Da
|-
|-
!5th 2L10s
!5th 2L8s
!sLssss-sLssss
!Lssss-Lssss
|Da
|Da
|'''Fro'''
|'''Ru'''
|'''Ru'''
|Na
|Na
Line 10,797: Line 10,945:
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|'''Sa'''
|'''Fla'''
|'''Fla'''
|Lu
|Tha
|Tu
|Da
|-
!6th 2L10s
!Lsssss-Lsssss
|Da
|'''Fra'''
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|'''Su'''
|Fla
|Lu
|Lu
|Tha
|Tha
Line 10,822: Line 10,953:
{| 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¢
2L10s MOS scales using solfege #2 (L = ^^A1/m2, s = ^A1/vm2)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!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 12L2s
!1st 2L10s
!LLLLLLs-LLLLLLs
!sssssL-sssssL
|Da
|Da
|Fro
|Fro
Line 10,848: Line 10,973:
|No
|No
|Ma
|Ma
|Fo
|'''Fo'''
|'''Pa'''
|Pu/Sho
|Pu/Sho
|Sa
|Sa
Line 10,855: Line 10,979:
|La
|La
|Tho
|Tho
|Ta
|'''Ta'''
|'''Do'''
|Da
|Da
|-
|-
!2nd 12L2s
!2nd 2L10s
!LLLLLsL-LLLLLsL
!ssssLs-ssssLs
|Da
|Da
|Fro
|Fro
|Ra
|Ra
|No
|No
|Ma
|'''Ma'''
|'''Fo'''
|'''Fa'''
|'''Fa'''
|Pu/Sho
|Pu/Sho
Line 10,872: Line 10,994:
|Flo
|Flo
|La
|La
|Tho
|'''Tho'''
|'''Ta'''
|'''Tu'''
|'''Tu'''
|Da
|Da
|-
|-
!3rd 12L2s
!3rd 2L10s
!LLLLsLL-LLLLsLL
!sssLss-sssLss
|Da
|Da
|Fro
|Fro
|Ra
|Ra
|No
|'''No'''
|'''Ma'''
|'''Mu'''
|'''Mu'''
|Fa
|Fa
Line 10,889: Line 11,009:
|Sa
|Sa
|Flo
|Flo
|La
|'''La'''
|'''Tho'''
|'''Tha'''
|'''Tha'''
|Tu
|Tu
|Da
|Da
|-
|-
!4th 12L2s
!4th 2L10s
!LLLsLLL-LLLsLLL
!ssLsss-ssLsss
|Da
|Da
|Fro
|Fro
|Ra
|'''Ra'''
|'''No'''
|'''Na'''
|'''Na'''
|Mu
|Mu
Line 10,906: Line 11,024:
|Pu/Sho
|Pu/Sho
|Sa
|Sa
|Flo
|'''Flo'''
|'''La'''
|'''Lu'''
|'''Lu'''
|Tha
|Tha
Line 10,913: Line 11,030:
|Da
|Da
|-
|-
!5th 12L2s
!5th 2L10s
!LLsLLLL-LLsLLLL
!sLssss-sLssss
|Da
|Da
|Fro
|'''Fro'''
|'''Ra'''
|'''Ru'''
|'''Ru'''
|Na
|Na
Line 10,923: Line 11,039:
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|Sa
|'''Sa'''
|'''Flo'''
|'''Fla'''
|'''Fla'''
|Lu
|Lu
Line 10,931: Line 11,046:
|Da
|Da
|-
|-
!6th 12L2s
!6th 2L10s
!LsLLLLL-LsLLLLL
!Lsssss-Lsssss
|Da
|Da
|'''Fro'''
|'''Fra'''
|'''Fra'''
|Ru
|Ru
Line 10,941: Line 11,055:
|Fa
|Fa
|Pu/Sho
|Pu/Sho
|'''Sa'''
|'''Su'''
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|-
!7th 12L2s
!sLLLLLL-sLLLLLL
|Da
|'''Du'''
|Fra
|Ru
|Na
|Mu
|Fa
|Pu/Sho
|'''Sha'''
|Su
|Fla
|Fla
|Lu
|Lu
Line 10,967: Line 11,062:
|Da
|Da
|}
|}
== #3 (P8, P4/2) ==
* G = ^M2/vm3
* EI = vvm2
MOS scales covered:
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 9 = 5L4s or 4L5s (Sa < 5\9 = 667¢)
* 14 = 9L5s or 5L9s (Sa < 4\7 = 686¢)
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
12L2s MOS scales using solfege #2 (L = ^A1/vm2, s = ^1) -- P5 must be < 700¢, or s will be < 0¢
| rowspan="2" |
![[Genchain mode numbering|GMN]] name
! colspan="27" |genspan
!scale
!1sn
!
!2nd
!
!3rd
!
!4th
!
!5th
!
!6th
!
!7th
!
!8ve
|-
|-
!13
!1st 12L2s
!12
!LLLLLLs-LLLLLLs
!11
|Da
!10
|Fro
!9
|Ra
!8
|No
!7
|Ma
!6
|Fo
!5
|'''Pa'''
!4
|Pu/Sho
!3
|Sa
!2
|Flo
!1
|La
!0
|Tho
!-1
|Ta
!-2
|'''Do'''
!-3
|Da
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
!solfege
!2nd 12L2s
|Flu
!LLLLLsL-LLLLLsL
|Sha
|Da
|Nu
|Fro
|Fra
|Thu
|Fla
|Fu
 
Sho
|Na
|Du
 
Fro
|Tha
|Su
 
Flo
|Fa
|Ru
 
No
|'''Da'''
|Lu
 
Tho
|Sa
|Mu
 
Fo
|Ra
|Ra
|Tu
|No
 
|Ma
Do
|'''Fo'''
|'''Fa'''
|Pu/Sho
|Sa
|Flo
|La
|La
|Pu
|Tho
 
|'''Ta'''
So
|'''Tu'''
|Ma
|Da
|Ro
|Ta
|Lo
|Pa
|Mo
|-
|-
!intervals
!3rd 12L2s
|^m6
!LLLLsLL-LLLLsLL
|d5
|Da
|^m3
|Fro
|m2
|Ra
|^m7
|No
|m6
|'''Ma'''
|^4
|'''Mu'''
 
|Fa
vd5
|Pu/Sho
|m3
|Sa
|^1
|Flo
 
|La
vm2
|'''Tho'''
|m7
|'''Tha'''
|^5
|Tu
 
|Da
vm6
|P4
|^M2
 
vm3
|'''P1'''
|^M6
 
vm7
|P5
|^M3
 
v4
|M2
|^M7
 
v8
|M6
|^A4
 
v5
|M3
|vM2
|M7
|vM6
|A4
|vM3
|-
|-
!notes
!4th 12L2s
|^Ab
!LLLsLLL-LLLsLLL
|Gb
|Da
|^Eb
|Fro
|Db
|Ra
|^Bb
|'''No'''
|Ab
|'''Na'''
|^F
|Mu
 
|Fa
vGb
|Pu/Sho
|Eb
|Sa
|^C
|Flo
 
|'''La'''
vDb
|'''Lu'''
|Bb
|Tha
|^G
|Tu
 
|Da
vAb
|-
|F
!5th 12L2s
|^D
!LLsLLLL-LLsLLLL
 
|Da
vEb
|Fro
|'''C'''
|'''Ra'''
|^A
|'''Ru'''
 
|Na
vBb
|Mu
|G
|Fa
|^E
|Pu/Sho
 
|Sa
vF
|'''Flo'''
|D
|'''Fla'''
|^B
|Lu
 
|Tha
vC
|Tu
|A
|Da
|^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
!6th 12L2s
!LLLLs
!LsLLLLL-LsLLLLL
|Da
|Da
|Ru/No
|'''Fro'''
|'''Fra'''
|Ru
|Na
|Mu
|Fa
|Fa
|Su/Flo
|Pu/Sho
|'''Tha'''
|'''Sa'''
|'''Su'''
|Fla
|Lu
|Tha
|Tu
|Da
|Da
|-
|-
!2nd 4L1s
!7th 12L2s
!LLLsL
!sLLLLLL-sLLLLLL
|Da
|Da
|Ru/No
|'''Du'''
|Fra
|Ru
|Na
|Mu
|Fa
|Fa
|'''Su/Flo'''
|Pu/Sho
|'''Lu/Tho'''
|'''Sha'''
|Su
|Fla
|Lu
|Tha
|Tu
|Da
|Da
|}
== #3 (P8, P4/2) ==
* G = ^M2/vm3
* EI = vvm2 = 0¢
* ^ = 50¢ - 2.5c
MOS scales covered:
* 5 = 4L1s (for 1L4s use pergen #8, third-5th)
* 9 = 5L4s or 4L5s (Sa < 5\9 = 667¢)
* 14 = 9L5s or 5L9s (Sa < 4\7 = 686¢)
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| rowspan="2" |
! colspan="27" |genspan
|-
|-
!3rd 4L1s
!13
!LLsLL
!12
|Da
!11
|Ru/No
!10
|'''Fa'''
!9
|'''Sa'''
!8
|Lu/Tho
!7
|Da
!6
|-
!5
!4th 4L1s
!4
!LsLLL
!3
|Da
!2
|'''Ru/No'''
!1
|'''Mu/Fo'''
|Sa
|Lu/Tho
|Da
|-
!5th 4L1s
!sLLLL
|Da
|'''Ra'''
|Mu/Fo
|Sa
|Lu/Tho
|Da
|}
{| class="wikitable center-all"
|+
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!0
!0
!1
!-1
!2
!-2
!3
!-3
!4
!-4
!5
!-5
!6
!-6
!7
!-7
!8
!-8
!9
!-9
!-10
!-11
!-12
!-13
|-
|-
!1st 5L4s
!solfege
!sLsLsLsLL
|Flu
|Da
|Sha
|Du/Fro
|Nu
|Ru/No
|Fra
|Thu
|Fla
|Fu
 
Sho
|Na
|Na
|Fa
|Du
|Fu/Sho
 
|Su/Flo
Fro
|'''Fla'''
|Tha
|Tha
|Da
|Su
|-
 
!2nd 5L4s
Flo
!sLsLsLLsL
|Da
|Du/Fro
|Ru/No
|Na
|Fa
|'''Fu/Sho'''
|Su/Flo
|'''Lu/Tho'''
|Tha
|Da
|-
!3rd 5L4s
!sLsLLsLsL
|Da
|Du/Fro
|Ru/No
|'''Na'''
|Fa
|'''Sa'''
|Su/Flo
|Lu/Tho
|Tha
|Da
|-
!4th 5L4s
!sLLsLsLsL
|Da
|'''Du/Fro'''
|Ru/No
|'''Mu/Fo'''
|Fa
|Fa
|Ru
No
|'''Da'''
|Lu
Tho
|Sa
|Sa
|Su/Flo
|Mu
|Lu/Tho
 
|Tha
Fo
|Da
|Ra
|Tu
 
Do
|La
|Pu
 
So
|Ma
|Ro
|Ta
|Lo
|Pa
|Mo
|-
|-
!5th 5L4s
!intervals
!LsLsLsLsL
|^m6
|Da
|d5
|'''Ra'''
|^m3
|Ru/No
|m2
|Mu/Fo
|^m7
|Fa
|m6
|Sa
|^4
|Su/Flo
 
|Lu/Tho
vd5
|'''Tha'''
|m3
|Da
|^1
 
vm2
|m7
|^5
 
vm6
|P4
|^M2
 
vm3
|'''P1'''
|^M6
 
vm7
|P5
|^M3
 
v4
|M2
|^M7
 
v8
|M6
|^A4
 
v5
|M3
|vM2
|M7
|vM6
|A4
|vM3
|-
|-
!6th 5L4s
!notes
!LsLsLsLLs
|^Ab
|Da
|Gb
|Ra
|^Eb
|Ru/No
|Db
|Mu/Fo
|^Bb
|Fa
|Ab
|Sa
|^F
|'''Su/Flo'''
 
|Lu/Tho
vGb
|'''Tu/Do'''
|Eb
|Da
|^C
|-
 
!7th 5L4s
vDb
!LsLsLLsLs
|Bb
|Da
|^G
|Ra
 
|Ru/No
vAb
|Mu/Fo
|F
|'''Fa'''
|^D
|Sa
 
|'''La'''
vEb
|Lu/Tho
|'''C'''
|Tu/Do
|^A
|Da
 
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
|-
|-
!8th 5L4s
!1st 4L1s
!LsLLsLsLs
!LLLLs
|Da
|Da
|Ra
|Ru/No
|'''Ru/No'''
|Fa
|Mu/Fo
|Su/Flo
|'''Pu/So'''
|'''Tha'''
|Sa
|La
|Lu/Tho
|Tu/Do
|Da
|Da
|-
|-
!9th 5L4s
!2nd 4L1s
!LLsLsLsLs
!LLLsL
|Da
|Ru/No
|Fa
|'''Su/Flo'''
|'''Lu/Tho'''
|Da
|-
!3rd 4L1s
!LLsLL
|Da
|Ru/No
|'''Fa'''
|'''Sa'''
|Lu/Tho
|Da
|-
!4th 4L1s
!LsLLL
|Da
|'''Ru/No'''
|'''Mu/Fo'''
|Sa
|Lu/Tho
|Da
|-
!5th 4L1s
!sLLLL
|Da
|Da
|Ra
|'''Ra'''
|'''Ma'''
|Mu/Fo
|Mu/Fo
|Pu/So
|Sa
|Sa
|La
|Lu/Tho
|Lu/Tho
|Tu/Do
|Da
|Da
|}
|}
The same solfege can be used for 4L5s, but Sa will be < 5\9 = 667¢.
A similar table can be made for 5L9s. The same solfege can be used for 9L5s, but Sa will be < 4\7 = 686¢.
== #4 (P8, P5/2) ==
* G = ^m3/vM3 = ~3
* EI = vvA1
MOS scales covered:
* 7 = 3L4s or 4L3s (Sa < 4\7 = 686¢)
* 10 = 7L3s or 3L7s (Sa > 3\5 = 720¢)
* 13 = 10L3s (Sa > 3\5 = 720¢) or 3L10s (Sa > 8\13)
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = mid)'''
5L4s MOS scales (L = M2 = rhymes, s = ^1/vm2 = no rhyme)
| rowspan="2" |
 
! colspan="27" |genspan
if P5 < 5\9 = 667¢, swap L and s to get 4L5s
|-
![[Genchain mode numbering|GMN]] name
!-13
!scale
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 11,382: Line 11,465:
!8
!8
!9
!9
!10
!11
!12
!13
|-
|-
!solfege
!1st 5L4s
|No
!sLsLsLsLL
|Sha
|Da
|Tho
|Du/Fro
|Fra
|Ru/No
|Fo
|Fla
|Do
|Na
|Na
|Si
|Fa
|Fu/Sho
|Su/Flo
|'''Fla'''
|Tha
|Tha
|Ri
|Da
|Fa
|-
|Li
!2nd 5L4s
|'''Da'''
!sLsLsLLsL
|Mi
|Da
|Sa
|Du/Fro
|Ti
|Ru/No
|Ra
|Na
|Fi
|Fa
|La
|'''Fu/Sho'''
|Du
|Su/Flo
|Ma
|'''Lu/Tho'''
|Su
|Tha
|Ta
|Da
|Ru
|-
|Pa
!3rd 5L4s
|Lu
!sLsLLsLsL
|Da
|Du/Fro
|Ru/No
|'''Na'''
|Fa
|'''Sa'''
|Su/Flo
|Lu/Tho
|Tha
|Da
|-
|-
!intervals
!4th 5L4s
|vm3
!sLLsLsLsL
|d5
|Da
|vm7
|'''Du/Fro'''
|m2
|Ru/No
|v4
|'''Mu/Fo'''
|m6
|Fa
|v8
|Sa
|m3
|Su/Flo
|~5
|Lu/Tho
|m7
|Tha
|~2
|Da
|P4
|~6
|'''P1'''
|~3
|P5
|~7
|M2
|~4
|M6
|^1
|M3
|^5
|M7
|^M2
|A4
|^M6
|-
|-
!notes
!5th 5L4s
|vEb
!LsLsLsLsL
|Gb
|Da
|vBb
|'''Ra'''
|Db
|Ru/No
|vF
|Mu/Fo
|Ab
|Fa
|vC
|Sa
|Eb
|Su/Flo
|^Gb
|Lu/Tho
 
|'''Tha'''
vG
|Da
|Bb
|^Db
 
vD
|F
|^Ab
 
vA
|'''C'''
|^Eb
 
vE
|G
|^Bb
 
vB
|D
|^F
 
vF#
|A
|^C
|E
|^G
|B
|^D
|F#
|^A
|}
{| class="wikitable center-all"
|+
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
|-
!1st 3L4s
!6th 5L4s
!LsLsLss
!LsLsLsLLs
|Da
|Da
|Ra
|Ra
|Mi
|Ru/No
|Fi
|Mu/Fo
|Fa
|Sa
|Sa
|'''La'''
|'''Su/Flo'''
|Ti
|Lu/Tho
|'''Tu/Do'''
|Da
|Da
|-
|-
!2nd 3L4s
!7th 5L4s
!LsLssLs
!LsLsLLsLs
|Da
|Da
|Ra
|Ra
|Mi
|Ru/No
|'''Fi'''
|Mu/Fo
|'''Fa'''
|Sa
|Sa
|'''Li'''
|'''La'''
|Ti
|Lu/Tho
|Tu/Do
|Da
|Da
|-
|-
!3rd 3L4s
!8th 5L4s
!LssLsLs
!LsLLsLsLs
|Da
|Da
|'''Ra'''
|Ra
|Mi
|'''Ru/No'''
|'''Fa'''
|Mu/Fo
|'''Pu/So'''
|Sa
|Sa
|Li
|La
|Ti
|Lu/Tho
|Tu/Do
|Da
|Da
|-
|-
!4th 3L4s
!9th 5L4s
!sLsLsLs
!LLsLsLsLs
|Da
|Da
|'''Ri'''
|Ra
|Mi
|'''Ma'''
|Fa
|Mu/Fo
|Sa
|Pu/So
|Li
|Sa
|'''Ti'''
|La
|Da
|Lu/Tho
|-
|Tu/Do
!5th 3L4s
!sLsLssL
|Da
|Ri
|Mi
|Fa
|'''Sa'''
|Li
|'''Tha'''
|Da
|-
!6th 3L4s
!sLssLsL
|Da
|Ri
|'''Mi'''
|Fa
|'''Si'''
|Li
|Tha
|Da
|-
!7th 3L4s
!ssLsLsL
|Da
|Ri
|'''Na'''
|Fa
|Si
|Li
|Tha
|Da
|Da
|}
|}
Similar tables can be made for every mode of 7L3s, 10L3s or 3L10s
A similar table can be made for 5L9s. The same solfege can be used for 9L5s, but Sa will be < 4\7 = 686¢.


== #5 (P8/2, P4/2) ==
== #4 (P8, P5/2) ==
It has only 4 fifthchains, but two of them are at the half-octave, and require double names. Hmm must think about this...


== #6 (P8/3, P5) ==
* G = ^m3/vM3 = ~3
 
* EI = vvA1 = 0¢
* P = vM3 = ^^d4, G = P5
* ^ = 50¢ + 3.5c
* EI = ^<sup>3</sup>d2


MOS scales covered:
MOS scales covered:


* 6 = 3L3s
* 7 = 3L4s or 4L3s
* 9 = 3L6s
* 10 = 7L3s or 3L7s (Sa > 3\5 = 720¢)
* 12 = 3L9s or 9L3s (extended solfege only)
* 13 = 10L3s (Sa > 3\5 = 720¢) or 3L10s (Sa > 8\13)
* 15 = 12L3s (extended solfege only)
* 18 = 15L3s (extended solfege only) Sa > 3\5 = 720¢
* 21= 12L9s (extended solfege only)


{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
'''uniform solfege (-a = plain, -u = up, -o = down, -i = mid)'''
| colspan="2" rowspan="2" |
| rowspan="2" |
! colspan="5" |genspan
! colspan="27" |genspan
|-
|-
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-2
!-1
!-1
Line 11,607: Line 11,619:
!1
!1
!2
!2
!3
!4
!5
!6
!7
!8
!9
!10
!11
!12
!13
|-
|-
! rowspan="3" |down
genchain
!solfege
|Ro
|Lo
|Mo
|To
|Po
|-
!intervals
|vM2
|vM6
|vM3
|vM7
|vA4
|-
!notes
|vD
|vA
|vE
|vB
|vF#
|-
| colspan="7" |
|-
! rowspan="3" |plain
genchain
!solfege
!solfege
|No
|Sha
|Tho
|Fra
|Fo
|Fla
|Do
|Na
|Si
|Tha
|Tha
|Ri
|Fa
|Fa
|Li
|'''Da'''
|'''Da'''
|Mi
|Sa
|Sa
|Ti
|Ra
|Ra
|Fi
|La
|Du
|Ma
|Su
|Ta
|Ru
|Pa
|Lu
|-
|-
!intervals
!intervals
|vm3
|d5
|vm7
|m2
|v4
|m6
|v8
|m3
|~5
|m7
|m7
|~2
|P4
|P4
|~6
|'''P1'''
|'''P1'''
|~3
|P5
|P5
|~7
|M2
|M2
|~4
|M6
|^1
|M3
|^5
|M7
|^M2
|A4
|^M6
|-
|-
!notes
!notes
|Bb
|vEb
|F
|Gb
|'''C'''
|vBb
|G
|Db
|D
|vF
|-
|Ab
| colspan="7" |
|vC
|-
|Eb
! rowspan="3" |up
 
genchain
!solfege
|Shu
|Fru
|Flu
|Nu
|Thu
|-
!intervals
|^d5
|^m2
|^m6
|^m3
|^m7
|-
!notes
|^Gb
|^Gb
vG
|Bb
|^Db
|^Db
vD
|F
|^Ab
|^Ab
vA
|'''C'''
|^Eb
|^Eb
vE
|G
|^Bb
|^Bb
vB
|D
|^F
vF#
|A
|^C
|E
|^G
|B
|^D
|F#
|^A
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''extended uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
3L4s MOS scales (L = M2 = rhymes, s = ~2 = no rhyme)
| colspan="2" rowspan="2" |
 
! colspan="13" |genspan
if Sa < 4\7 = 686¢, swap L and s to get 4L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
|-
!-6
!1st 3L4s
!-5
!LsLsLss
!-4
|Da
!-3
|Ra
!-2
|Mi
!-1
|Fi
!0
|Sa
!1
|'''La'''
!2
|Ti
!3
|Da
!4
!5
!6
|-
! rowspan="3" |down
 
genchain
!solfege
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|To
|Po/Shi
|Fri
|Fli
|Ni
|Thi
|-
|-
!intervals
!2nd 3L4s
|vm7
!LsLssLs
|v4
|Da
|v1
|Ra
|v5
|Mi
|vM2
|'''Fi'''
|vM6
|Sa
|vM3
|'''Li'''
|vM7
|Ti
|vA4/^^d5
|Da
|^^m2
|^^m6
|^^m3
|^^m7
|-
|-
!notes
!3rd 3L4s
|vBb
!LssLsLs
|vF
|Da
|vC
|'''Ra'''
|vG
|Mi
|vD
|'''Fa'''
|vA
|Sa
|vE
|Li
|vB
|Ti
|vF#/^^Gb
|Da
|^^Db
|^^Ab
|^^Eb
|^^Bb
|-
|-
| colspan="15" |
!4th 3L4s
|-
!sLsLsLs
! rowspan="3" |plain
|Da
 
|'''Ri'''
genchain
|Mi
!solfege
|Sha
|Fra
|Fla
|Na
|Tha
|Fa
|Fa
|'''Da'''
|Sa
|Sa
|Ra
|Li
|La
|'''Ti'''
|Ma
|Da
|Ta
|Pa
|-
|-
!intervals
!5th 3L4s
|d5
!sLsLssL
|m2
|Da
|m6
|Ri
|m3
|Mi
|m7
|Fa
|P4
|'''Sa'''
|'''P1'''
|Li
|P5
|'''Tha'''
|M2
|Da
|M6
|M3
|M7
|A4
|-
|-
!notes
!6th 3L4s
|Gb
!sLssLsL
|Db
|Da
|Ab
|Ri
|Eb
|'''Mi'''
|Bb
|Fa
|F
|'''Si'''
|'''C'''
|Li
|G
|Tha
|D
|Da
|A
|E
|B
|F#
|-
|-
| colspan="15" |
!7th 3L4s
|-
!ssLsLsL
! rowspan="3" |up
|Da
|Ri
|'''Na'''
|Fa
|Si
|Li
|Tha
|Da
|}
Similar tables can be made for every mode of 7L3s, 10L3s or 3L10s
 
== #5 (P8/2, P4/2) (incomplete) ==
It has only 4 fifthchains, but two of them are at the half-octave, and require double names. Hmm must think about this...
 
== #6 (P8/3, P5) ==
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)
* G = P5 '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2)
* EI = ^<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??
 
=== Solfege #1 (P5 > 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #1 (-a = plain, -u = up, -o = down)'''
| colspan="2" rowspan="2" |
! colspan="5" |genspan (gen = P5)
|-
!-2
!-1
!0
!1
!2
|-
! rowspan="3" |down


genchain
genchain
!solfege
!solfege
|Re
|Ro
|Le
|Lo
|Me
|Mo
|Te
|To
|Pe/Shu
|Po
|Fru
|Flu
|Nu
|Thu
|Fu
|Du
|Su
|Ru
|-
|-
!intervals
!intervals
|vvM2
|vM2
|vvM6
|vM6
|vvM3
|vM3
|vvM7
|vM7
|vvA4/^d5
|vA4
|^m2
|^m6
|^m3
|^m7
|^4
|^1
|^5
|^M2
|-
|-
!notes
!notes
|vvD
|vD
|vvA
|vA
|vvE
|vE
|vvB
|vB
|vvF#/^Gb
|vF#
|^Db
|-
|^Ab
| colspan="7" |
|^Eb
|^Bb
|^F
|^C
|^G
|^D
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!3rd
!
!6th
!
!8ve
|-
|-
!1st 3L3s
! rowspan="3" |plain
!Ls-Ls-Ls
 
|Da
genchain
|'''Nu'''
!solfege
|Mo
|Tha
|'''Sa'''
|Fa
|'''Da'''
|Sa
|Ra
|-
!intervals
|m7
|P4
|'''P1'''
|P5
|M2
|-
!notes
|Bb
|F
|'''C'''
|G
|D
|-
| colspan="7" |
|-
! rowspan="3" |up
 
genchain
!solfege
|Shu
|Fru
|Flu
|Flu
|'''To'''
|Nu
|Da
|Thu
|-
|-
!2nd 3L3s
!intervals
!sL-sL-sL
|^d5
|Da
|^m2
|'''Fru'''
|^m6
|Mo
|^m3
|'''Fa'''
|^m7
|Flu
|-
|'''Lo'''
!notes
|Da
|^Gb
|^Db
|^Ab
|^Eb
|^Bb
|}
|}
{| 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
| colspan="2" rowspan="2" |
!scale
! colspan="5" |genspan (gen = vvA1/^m2)
!1sn
|-
!2nd
!2
!
!1
!3rd
!0
!4th
!-1
!5th
!-2
!6th
!
!7th
!8ve
|-
|-
!1st 3L6s
! rowspan="3" |Fa's
!Lss-Lss-Lss
 
|Da
genchain
|'''Ra'''
!solfege
|Shu
|Fa
|Mo
|Nu
|Nu
|Mo
|Ra
|'''Po'''
|-
|Sa
!intervals
|Flu
|^d5
|'''Thu'''
|P4
|To
|vM3
|Da
|^m3
|M2
|-
!notes
|^Gb
|F
|vE
|^Eb
|D
|-
|-
!2nd 3L6s
| colspan="7" |
!sLs-sLs-sLs
|Da
|'''Fru'''
|'''Nu'''
|Mo
|'''Fa'''
|'''Sa'''
|Flu
|'''Lo'''
|'''To'''
|Da
|-
|-
!3rd 3L6s
! rowspan="3" |Da's
!ssL-ssL-ssL
 
|Da
genchain
!solfege
|Ro
|Fru
|Fru
|'''Ro'''
|'''Da'''
|Mo
|To
|Fa
|Thu
|'''Shu'''
|-
!intervals
|vM2
|^m2
|'''P1'''
|vM7
|^m7
|-
!notes
|vD
|^Db
|'''C'''
|vB
|^Bb
|-
| colspan="7" |
|-
! rowspan="3" |Sa'a
 
genchain
!solfege
|Tha
|Lo
|Flu
|Flu
|Lo
|Sa
|'''Tha'''
|Po
|Da
|-
!intervals
|m7
|vM6
|^m6
|P5
|vA4
|-
!notes
|Bb
|vA
|^Ab
|G
|vF#
|}
|}
6L3s means Sa < 5\9 = 667¢
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1) if Sa < 700¢, swap L and s for 9L3s
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
![[Genchain mode numbering|GMN]] name
| colspan="2" rowspan="2" |
!scale
! colspan="13" |genspan (gen = P5)
!1sn
! colspan="2" |2nds
! colspan="2" |3rds
!4th
!tritone
!5th
! colspan="2" |6ths
! colspan="2" |7ths
!8ve
|-
|-
!1st 3L9s
!-6
!Lsss-Lsss-Lsss
!-5
|Da
!-4
|'''Fri'''
!-3
|Ra
!-2
|Nu
!-1
!0
!1
!2
!3
!4
!5
!6
|-
! rowspan="3" |down
 
genchain
!solfege
|Tho
|Fo
|Do
|So
|Ro
|Lo
|Mo
|Mo
|'''Fu'''
|To
|Po/Shi
|Po/Shi
|Sa
|Fri
|Flu
|Fli
|'''La'''
|Ni
|Thu
|Thi
|To
|Da
|-
|-
!2nd 3L9s
!intervals
!sLss-sLss-sLss
|vm7
|Da
|v4
|'''Fru'''
|v1
|'''Ra'''
|v5
|Nu
|vM2
|Mo
|vM6
|'''Fa'''
|vM3
|'''Po'''
|vM7
|Sa
|vA4/^^d5
|Flu
|^^m2
|'''Lo'''
|^^m6
|'''Thu'''
|^^m3
|To
|^^m7
|Da
|-
!notes
|vBb
|vF
|vC
|vG
|vD
|vA
|vE
|vB
|vF#/^^Gb
|^^Db
|^^Ab
|^^Eb
|^^Bb
|-
|-
!3rd 3L9s
| colspan="15" |
!ssLs-ssLs-ssLs
|Da
|Fru
|'''Ro'''
|'''Nu'''
|Mo
|Fa
|'''Shu'''
|'''Sa'''
|Flu
|Lo
|'''Tha'''
|'''To'''
|Da
|-
|-
!4th 3L9s
! rowspan="3" |plain
!sssL-sssL-sssL
 
|Da
genchain
|Fru
!solfege
|Ro
|Sha
|'''Na'''
|Fra
|Mo
|Fla
|Na
|Tha
|Fa
|Fa
|Pe/Shu
|'''Da'''
|'''So'''
|Sa
|Flu
|Ra
|Lo
|La
|Tha
|Ma
|'''Te'''
|Ta
|Da
|Pa
|}
|-
Similar tables can be made for 15, 18 and 21-note scales.
!intervals
 
|d5
== #7 (P8, P4/3) ==
|m2
 
|m6
* G = vM2/^^m2 = ^~2
|m3
* EI = v<sup>3</sup>A1
|m7
* ^ = (100¢ + 7c) / 3
|P4
 
|'''P1'''
MOS scales covered:
|P5
 
|M2
* 7 = 1L6s (for 6L1s use quarter-5th)
|M6
* 8 = 6L1s or 1L6s
|M3
* 15 = 7L8s (all but 2 modes) (4\7 < P5 < 3\5)
|M7
|A4
|-
!notes
|Gb
|Db
|Ab
|Eb
|Bb
|F
|'''C'''
|G
|D
|A
|E
|B
|F#
|-
| colspan="15" |
|-
! rowspan="3" |up


{| class="wikitable center-all"
genchain
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| rowspan="2" |
! colspan="27" |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
|Re
|Fla
|Le
|Shu
|Me
|Fo
|Te
|Na
|Pe/Shu
|Fru
|Fru
|Do
|Tha
|Flu
|Flu
|So
|Fa
|Nu
|Nu
|Ro
|'''Da'''
|Thu
|Thu
|Lo
|Sa
|Fu
|Fu
|Mo
|Ra
|Du
|Du
|To
|La
|Su
|Su
|Po
|Ma
|Ru
|Ru
|-
|-
!intervals
!intervals
|vm7
|vvM2
|m6
|vvM6
|^d5
|vvM3
|v4
|vvM7
|m3
|vvA4/^d5
|^m2
|^m2
|v8
|m7
|^m6
|^m6
|v5
|P4
|^m3
|^m3
|vM2
|'''P1'''
|^m7
|^m7
|vM6
|P5
|^4
|^4
|vM3
|M2
|^1
|^1
|vM7
|M6
|^5
|^5
|vA4
|M3
|^M2
|^M2
|-
|-
!notes
!notes
|vBb
|vvD
|Ab
|vvA
|^Gb
|vvE
|vF
|vvB
|Eb
|vvF#/^Gb
|^Db
|^Db
|vC
|Bb
|^Ab
|^Ab
|vG
|F
|^Eb
|^Eb
|vD
|'''C'''
|^Bb
|^Bb
|vA
|G
|^F
|^F
|vE
|D
|^C
|^C
|vB
|A
|^G
|^G
|vF#
|E
|^D
|^D
|}
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege in melodic order (Po and Shu switch places when Sa > 13\22 = 709¢)'''
'''extended solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
!index
| colspan="2" rowspan="2" |
!0
! colspan="13" |genspan (gen = vvA1/^m2)
!1
|-
!6
!5
!4
!3
!2
!2
!3
!1
!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
!0
!0
!-7
!-1
!8
!-2
!1
!-3
!-4
!-5
!-6
!-6
!-13
!9
!2
!-5
!-12
!10
!3
!-4
!-11
!11
!4
!-3
!-10
!12
!5
!-2
!-9
!13
!6
!-1
!-8
!7
!0
|-
|-
!solfege
! rowspan="3" |Fa's
|Da
 
|Du
genchain
|Fru
!solfege
|Ro
|Tho
|Ra
|Le
|Ru
|Fla
|Na
|So
|Nu
|Pe/Shu
|Mo
|Fa
|Ma
|Mo
|Fo
|Nu
|Fa
|Ra
|Fu
|Fri
|Po
|Du
|Shu
|Ta
|So
|Thi
|Sa
|-
|Su
!intervals
|Fla
|vm7
|Flu
|vvM6
|Lo
|m6
|La
|v5
|Tho
|vvA4/^d5
|Tha
|P4
|Thu
|vM3
|To
|^m3
|Do
|M2
|Da
|^^m2
|^1
|M7
|^^m7
|-
|-
!intervals
!notes
|P1
|vBb
|^1
|vvA
|^m2
|Ab
|vM2
|vG
|M2
|vvF#/^Gb
|^M2
|F
|m3
|vE
|^m3
|^Eb
|vM3
|D
|M3
|^^Db
|v4
|^C
|P4
|B
|^4
|^^Bb
|vA4
|-
|^d5
| colspan="15" |
|v5
|-
|P5
! rowspan="3" |Da's
 
genchain
!solfege
|Sha
|Fo
|Me
|Na
|Ro
|Fru
|'''Da'''
|To
|Thu
|La
|Fli
|Su
|Pa
|-
!intervals
|d5
|v4
|vvM3
|m3
|vM2
|^m2
|'''P1'''
|vM7
|^m7
|M6
|^^m6
|^5
|^5
|m6
|A4
|^m6
|vM6
|M6
|vm7
|m7
|^m7
|vM7
|v8
|P1
|-
|-
!notes
!notes
|C
|Gb
|^C
|vF
|vvE
|Eb
|vD
|^Db
|^Db
|vD
|'''C'''
|D
|vB
|^D
|^Bb
|Eb
|A
|^Eb
|^^Ab
|vE
|E
|vF
|F
|^F
|vF#
|^Gb
|vG
|G
|^G
|^G
|Ab
|F#
|^Ab
|-
|vA
| colspan="15" |
|A
|-
|vBb
! rowspan="3" |Sa's
|Bb
 
|^Bb
genchain
|vB
!solfege
|vC
|Re
|C
|Fra
|}
|Do
{| class="wikitable center-all"
|Te
|+
|Tha
1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
|Lo
|Flu
|Sa
|Po/Shi
|Fu
|Ma
|Ni
|Ru
|-
!intervals
|vvM2
|m2
|v1
|vvM7
|m7
|vM6
|^m6
|P5
|vA4/^^d5
|^4
|M3
|^^m3
|^M2
|-
!notes
|vvD
|Db
|vC
|vvB
|Bb
|vA
|^Ab
|G
|vF#/^^Gb
|^F
|E
|^^Eb
|^D
|}
{| class="wikitable center-all"
|+
3L3s MOS scales (L = ^m3/vvA2, s = ^m2/vvA1)
![[Genchain mode numbering|GMN]] name
![[Genchain mode numbering|GMN]] name
!scale
!scale
!1sn
!1sn
!2nd
!
!3rd
!
!6th
!
!8ve
|-
!1st 3L3s
!Ls-Ls-Ls
|Da
|'''Nu'''
|Mo
|'''Sa'''
|Flu
|'''To'''
|Da
|-
!2nd 3L3s
!sL-sL-sL
|Da
|'''Fru'''
|Mo
|'''Fa'''
|Flu
|'''Lo'''
|Da
|}
{| class="wikitable center-all"
|+
3L6s MOS scales (L = M2 = rhymes, s = ^m2/vvA1)
 
if P5 < 5\9 = 667¢, swap L and s to get 6L3s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!
!3rd
!3rd
!4th
!4th
!5th
!5th
!6th
!6th
!
!7th
!7th
!8ve
!8ve
|-
|-
!1st 1L6s
!1st 3L6s
!ssssssL
!Lss-Lss-Lss
|Da
|Da
|Ro
|'''Ra'''
|Nu
|Nu
|Fa
|Mo
|So
|'''Po'''
|Sa
|Flu
|Flu
|'''Tha'''
|'''Thu'''
|To
|Da
|Da
|-
|-
!2nd 1L6s
!2nd 3L6s
!sssssLs
!sLs-sLs-sLs
|Da
|Da
|Ro
|'''Fru'''
|Nu
|'''Nu'''
|Fa
|Mo
|So
|'''Fa'''
|'''Flu'''
|'''Sa'''
|'''Thu'''
|Flu
|'''Lo'''
|'''To'''
|Da
|Da
|-
|-
!3rd 1L6s
!3rd 3L6s
!ssssLss
!ssL-ssL-ssL
|Da
|Da
|Ro
|Fru
|Nu
|'''Ro'''
|Mo
|Fa
|Fa
|'''So'''
|'''Shu'''
|'''Lo'''
|Flu
|Thu
|Da
|-
!4th 1L6s
!sssLsss
|Da
|Ro
|Nu
|'''Fa'''
|'''Sa'''
|Lo
|Lo
|Thu
|'''Tha'''
|Da
|Da
|-
|}
!5th 1L6s
 
!ssLssss
{| class="wikitable center-all"
|+
3L9s MOS scales (L = vA1/^^m2, s = ^m2/vvA1)
 
if P5 < 700¢, swap L and s to get 9L3s
![[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
|Da
|Ro
|'''Fri'''
|'''Nu'''
|Ra
|Nu
|Mo
|'''Fu'''
|'''Fu'''
|Po/Shi
|Sa
|Sa
|Lo
|Flu
|'''La'''
|Thu
|Thu
|To
|Da
|Da
|-
|-
!6th 1L6s
!2nd 3L9s
!sLsssss
!sLss-sLss-sLss
|Da
|Da
|'''Ro'''
|'''Fru'''
|'''Mo'''
|'''Ra'''
|Fu
|Nu
|Mo
|'''Fa'''
|'''Po'''
|Sa
|Sa
|Lo
|Flu
|Thu
|'''Lo'''
|'''Thu'''
|To
|Da
|Da
|-
|-
!7th 1L6s
!3rd 3L9s
!Lssssss
!ssLs-ssLs-ssLs
|Da
|Da
|'''Ra'''
|Fru
|'''Ro'''
|'''Nu'''
|Mo
|Mo
|Fu
|Fa
|Sa
|'''Shu'''
|'''Sa'''
|Flu
|Lo
|Lo
|Thu
|'''Tha'''
|'''To'''
|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
|-
|-
!1st 7L1s
!4th 3L9s
!LLLLLLLs
!sssL-sssL-sssL
|Da
|Da
|Fru
|Ro
|Ro
|Nu
|'''Na'''
|Mo
|Fa
|Fa
|So
|Pe/Shu
|'''So'''
|Flu
|Flu
|Lo
|Tha
|Tha
|'''Do'''
|'''Te'''
|Da
|-
!2nd 7L1s
!LLLLLLsL
|Da
|Ro
|Nu
|Fa
|So
|Flu
|'''Tha'''
|'''Thu'''
|Da
|Da
|}
Similar tables can be made for 15, 18 and 21-note scales.
=== Solfege #2 (P5 < 700¢) -- INCOMPLETE ===
TO DO
== #7 (P8, P4/3) ==
* G = vM2/^^m2 = ^~2
* EI = 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"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
| rowspan="2" |
! colspan="27" |genspan
|-
|-
!3rd 7L1s
!13
!LLLLLsLL
!12
|Da
!11
|Ro
!10
|Nu
!9
|Fa
!8
|So
!7
|'''Flu'''
!6
|'''Lo'''
!5
|Thu
!4
|Da
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
|-
|-
!4th 7L1s
!solfege
!LLLLsLLL
|Tho
|Da
|Fla
|Shu
|Fo
|Na
|Fru
|Do
|Tha
|Flu
|So
|Fa
|Nu
|Ro
|Ro
|Nu
|'''Da'''
|Fa
|Thu
|'''So'''
|'''Sa'''
|Lo
|Lo
|Thu
|Sa
|Da
|Fu
|-
|Mo
!5th 7L1s
|Ra
!LLLsLLLL
|Du
|Da
|To
|Ro
|La
|Nu
|Su
|'''Fa'''
|Po
|'''Fu'''
|Ma
|Sa
|Ru
|Lo
|Thu
|Da
|-
|-
!6th 7L1s
!intervals
!LLsLLLLL
|vm7
|Da
|m6
|Ro
|^d5
|'''Nu'''
|v4
|'''Mo'''
|m3
|Fu
|^m2
|Sa
|v8
|Lo
|m7
|Thu
|^m6
|Da
|v5
|-
|P4
!7th 7L1s
|^m3
!LsLLLLLL
|vM2
|Da
|'''P1'''
|'''Ro'''
|^m7
|'''Ra'''
|vM6
|Mo
|P5
|Fu
|^4
|Sa
|vM3
|Lo
|M2
|Thu
|^1
|Da
|vM7
|M6
|^5
|vA4
|M3
|^M2
|-
|-
!8th 7L1s
!notes
!sLLLLLLL
|vBb
|Da
|Ab
|'''Du'''
|^Gb
|Ra
|vF
|Mo
|Eb
|Fu
|^Db
|Sa
|vC
|Lo
|Bb
|Thu
|^Ab
|Da
|vG
|}
|F
A similar table can be made for 7L8s, but it will lack the 1st and 15th modes.
|^Eb
 
|vD
== #8 (P8, P5/3) ==
|'''C'''
 
|^Bb
* G = ^M2/vvm3
|vA
* EI = v<sup>3</sup>m2
|G
 
|^F
MOS scales covered:
|vE
 
|D
* 5 = 1L4s (for 4L1s use pergen #3, half-4th)
|^C
* 6 = 5L1s
|vB
* 11 = 5L6s
|A
* 16 = 5L11s
|^G
 
|vF#
|E
|^D
|}
{| class="wikitable center-all"
{| class="wikitable center-all"
|+
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
'''uniform solfege in melodic order (Po and Shu switch places when Sa > 13\22 = 709¢)'''
! colspan="31" |genspan
!index
|-
!-15
!-14
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 12,560: Line 12,690:
!14
!14
!15
!15
!16
!17
!18
!19
!20
!21
!22
!23
!24
!25
!26
!27
|-
|-
|Fra
!genspan
|Nu
!0
|Sho
!-7
|Fla
!8
|Thu
!1
|Fro
!-6
|Na
!-13
|Fu
!9
|Flo
!2
|Tha
!-5
|Du
!-12
|No
!10
|Fa
!3
|Su
!-4
|Tho
!-11
|'''Da'''
!11
|Ru
!4
|Fo
!-3
|Sa
!-10
|Lu
!12
|Do
!5
|Ra
!-2
|Mu
!-9
|So
!13
|La
!6
|Tu
!-1
|Ro
!-8
|Ma
!7
|Pu
!0
|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
!solfege
|^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
|Da
|Ru
|Du
|Fru
|Ro
|Ra
|Ru
|Na
|Nu
|Mo
|Ma
|Fo
|Fo
|Fa
|Fu
|Po
|Shu
|So
|Sa
|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
|Su
|Fla
|Flu
|Lo
|La
|Tho
|Tho
|Tha
|Thu
|To
|Do
|Da
|Da
|-
|-
!5th 1L4s
!intervals
!Lssss
|P1
|Da
|^1
|'''No'''
|^m2
|Fa
|vM2
|Su
|M2
|Tho
|^M2
|Da
|m3
|}
|^m3
{| class="wikitable center-all"
|vM3
|+
|M3
5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
|v4
![[Genchain mode numbering|GMN]] name
|P4
!scale
|^4
!0
|vA4
!1
|^d5
!2
|v5
!3
|P5
!4
|^5
!5
|m6
!6
|^m6
|vM6
|M6
|vm7
|m7
|^m7
|vM7
|v8
|P1
|-
|-
!1st 5L1s
!notes
!LLLLLs
|C
|^C
|^Db
|vD
|D
|^D
|Eb
|^Eb
|vE
|E
|vF
|F
|^F
|vF#
|^Gb
|vG
|G
|^G
|Ab
|^Ab
|vA
|A
|vBb
|Bb
|^Bb
|vB
|vC
|C
|}
{| class="wikitable center-all"
|+
1L6s MOS scales (L = M2 = rhymes, s = vM2/^^m2 = no rhyme)
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!4th
!5th
!6th
!7th
!8ve
|-
!1st 1L6s
!ssssssL
|Da
|Da
|Ru
|Ro
|Fo
|Nu
|Sa
|Fa
|Lu
|So
|'''Do'''
|Flu
|'''Tha'''
|Da
|Da
|-
|-
!2nd 5L1s
!2nd 1L6s
!LLLLsL
!sssssLs
|Da
|Da
|Ru
|Ro
|Fo
|Nu
|Sa
|Fa
|'''Lu'''
|So
|'''Tho'''
|'''Flu'''
|'''Thu'''
|Da
|Da
|-
|-
!3rd 5L1s
!3rd 1L6s
!LLLsLL
!ssssLss
|Da
|Da
|Ru
|Ro
|Fo
|Nu
|'''Sa'''
|Fa
|'''Su'''
|'''So'''
|Tho
|'''Lo'''
|Thu
|Da
|Da
|-
|-
!4th 5L1s
!4th 1L6s
!LLsLLL
!sssLsss
|Da
|Da
|Ru
|Ro
|'''Fo'''
|Nu
|'''Fa'''
|'''Fa'''
|Su
|'''Sa'''
|Tho
|Lo
|Thu
|Da
|-
!5th 1L6s
!ssLssss
|Da
|Ro
|'''Nu'''
|'''Fu'''
|Sa
|Lo
|Thu
|Da
|Da
|-
|-
!5th 5L1s
!6th 1L6s
!LsLLLL
!sLsssss
|Da
|Da
|'''Ru'''
|'''Ro'''
|'''No'''
|'''Mo'''
|Fa
|Fu
|Su
|Sa
|Tho
|Lo
|Thu
|Da
|Da
|-
|-
!6th 5L1s
!7th 1L6s
!sLLLLL
!Lssssss
|Da
|Da
|'''Du'''
|'''Ra'''
|No
|Mo
|Fa
|Fu
|Su
|Sa
|Tho
|Lo
|Thu
|Da
|Da
|}
|}
Similar tables can be made for every mode of 5L6s and 5L11s.
{| class="wikitable center-all"
 
|+
== #9 (P8, P11/3) ==
7L1s MOS scales (L = vM2/^^m2, s = ^1/vvA1 = same degree)
 
![[Genchain mode numbering|GMN]] name
* G = ^4/vv5
!scale
* EI = v<sup>3</sup>M2
!0
 
!1
MOS scales covered:
!2
 
!3
* 5 = 2L3s
!4
* 7 = 2L5s
!5
* 9 = 2L7s
!6
* 11 = 2L9s
!7
* etc. up to 19 = 17L2s
!8
 
The up is quite large, a literal third-tone. ^1 = 67¢ + 0.67*c, where Sa = 700¢ + c.
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
! colspan="37" |genspan
|-
|-
!18
!1st 7L1s
!17
!LLLLLLLs
!16
|Da
!15
|Ro
!14
|Nu
!13
|Fa
!12
|So
!11
|Flu
!10
|Tha
!9
|'''Do'''
!8
|Da
!7
!6
!5
!4
!3
!2
!1
!0
!-1
!-2
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
!-14
!-15
!-16
!-17
!-18
|-
|-
|Sha
!2nd 7L1s
|Fro
!LLLLLLsL
|Shu
|Da
|Fra
|Ro
|Flo
|Fru
|Fla
|No
|Flu
|Na
|Tho
|Nu
|Nu
|Tha
|Fo
|Thu
|Fa
|Fa
|Do
|Fu
|'''Da'''
|So
|So
|Du
|Flu
|Sa
|'''Tha'''
|'''Thu'''
|Da
|-
!3rd 7L1s
!LLLLLsLL
|Da
|Ro
|Nu
|Fa
|So
|'''Flu'''
|'''Lo'''
|Thu
|Da
|-
!4th 7L1s
!LLLLsLLL
|Da
|Ro
|Ro
|Su
|Nu
|Ra
|Fa
|'''So'''
|'''Sa'''
|Lo
|Lo
|Ru
|Thu
|La
|Da
|Mo
|Lu
|Ma
|To
|Mu
|Ta
|Po
|Tu
|Pa
|-
|-
|d5
!5th 7L1s
|vm2
!LLLsLLLL
|^d5
|Da
|m2
|Ro
|vm6
|Nu
|^m2
|'''Fa'''
|m6
|'''Fu'''
|vm3
|Sa
|^m6
|Lo
|m3
|Thu
|vm7
|Da
|^m3
|m7
|v4
|^m7
|P4
|v8
|^4
|'''P1'''
|v5
|^1
|P5
|vM2
|^5
|M2
|vM6
|^M2
|M6
|vM3
|^M6
|M3
|vM7
|^M3
|M7
|vA4
|^M7
|A4
|-
|-
|Gb
!6th 7L1s
|vDb
!LLsLLLLL
|^Gb
|Da
|Db
|Ro
|vAb
|'''Nu'''
|^Db
|'''Mo'''
|Ab
|Fu
|vEb
|Sa
|^Ab
|Lo
|Eb
|Thu
|vBb
|Da
|^Eb
|-
|Bb
!7th 7L1s
|vF
!LsLLLLLL
|^Bb
|Da
|F
|'''Ro'''
|vC
|'''Ra'''
|^F
|Mo
|'''C'''
|Fu
|vG
|Sa
|^C
|Lo
|G
|Thu
|vD
|Da
|^G
|-
|D
!8th 7L1s
|vA
!sLLLLLLL
|^D
|Da
|A
|'''Du'''
|vE
|Ra
|^A
|Mo
|E
|Fu
|vB
|Sa
|^E
|Lo
|B
|Thu
|vF#
|Da
|^B
|F#
|}
|}
A similar table can be made for 7L8s, but it will lack the 1st and 15th modes.
== #8 (P8, P5/3) ==
* G = ^M2/vvm3
* 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"
|+
|+
2L7s MOS scales (L = ^m3/vv4, s = vvM2/^1)
'''uniform solfege (-a = plain, -u = up, -o = down)'''
![[Genchain mode numbering|GMN]] name
! colspan="31" |genspan
!scale
|-
!-15
!-14
!-13
!-12
!-11
!-10
!-9
!-8
!-7
!-6
!-5
!-4
!-3
!-2
!-1
!0
!0
!1
!1
Line 12,975: Line 13,070:
!8
!8
!9
!9
|-
!10
!1st 2L7s
!11
!LsssLssss
!12
|Da
!13
!14
!15
|-
|Fra
|Nu
|Nu
|Fo
|Sho
|Fa
|Fla
|Thu
|Fro
|Na
|Fu
|Fu
|'''Tho'''
|Flo
|Tha
|Tha
|Thu
|Du
|Do
|No
|Da
|Fa
|-
|Su
!2nd 2L7s
|Tho
!LssssLsss
|'''Da'''
|Da
|Ru
|'''Nu'''
|Fo
|Fo
|Fa
|Sa
|Fu
|Lu
|'''So'''
|Tha
|Thu
|Do
|Do
|Da
|Ra
|-
|Mu
!3rd 2L7s
|So
!sLsssLsss
|La
|Da
|Tu
|'''Du'''
|Ro
|Fo
|Ma
|Fa
|Pu
|Fu
|Lo
|So
|Ta
|'''Tha'''
|Thu
|Do
|Da
|-
|-
!4th 2L7s
|m2
!sLssssLss
|^m3
|Da
|vd5
|Du
|m6
|'''Fo'''
|^m7
|Fa
|vm2
|Fu
|m3
|So
|^4
|'''Sa'''
|vm6
|Thu
|m7
|Do
|^1
|Da
|vm3
|-
|P4
!5th 2L7s
|^5
!ssLsssLss
|vm7
|Da
|'''P1'''
|Du
|^M2
|'''Ro'''
|v4
|Fa
|P5
|Fu
|^M6
|So
|v8
|Sa
|M2
|'''Thu'''
|^M3
|Do
|v5
|Da
|M6
|^M7
|vM2
|M3
|^A4
|vM6
|M7
|-
|-
!6th 2L7s
|Db
!ssLssssLs
|^Eb
|Da
|vGb
|Du
|Ab
|Ro
|^Bb
|'''Fa'''
|vDb
|Fu
|Eb
|So
|^F
|Sa
|vAb
|'''Su'''
|Bb
|Do
|^C
|Da
|vEb
|-
|F
!7th 2L7s
|^G
!sssLsssLs
|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
|Da
|Du
|Ru
|Ro
|Fo
|'''Ra'''
|Fu
|So
|Sa
|Sa
|Su
|'''Lu'''
|'''Do'''
|Da
|Da
|-
|-
!8th 2L7s
!2nd 1L4s
!sssLssssL
!sssLs
|Da
|Da
|Du
|Ru
|Ro
|Fo
|Ra
|'''Sa'''
|'''Fu'''
|'''Tho'''
|So
|Da
|Sa
|-
!3rd 1L4s
!ssLss
|Da
|Ru
|'''Fo'''
|'''Su'''
|Tho
|Da
|-
!4th 1L4s
!sLsss
|Da
|'''Ru'''
|'''Fa'''
|Su
|Su
|'''Lo'''
|Tho
|Da
|Da
|-
|-
!9th 2L7s
!5th 1L4s
!ssssLsssL
!Lssss
|Da
|Da
|Du
|'''No'''
|Ro
|Fa
|Ra
|'''Ru'''
|So
|Sa
|Su
|Su
|Lo
|Tho
|Da
|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"
{| class="wikitable center-all"
|+
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
5L1s MOS scales (L = ^M2/vvm3, s = ^1/vvM2)
| colspan="2" rowspan="2" |
![[Genchain mode numbering|GMN]] name
! colspan="7" |genspan
!scale
|-
!-3
!-2
!-1
!0
!0
!1
!1
!2
!2
!3
!3
!4
!5
!6
|-
|-
! rowspan="3" |up
!1st 5L1s
 
!LLLLLs
genchain
|Da
!solfege
|Ru
|Shu
|Fo
|Fru
|Sa
|Flu
|Lu
|Nu
|'''Do'''
|Thu
|Da
|Fu
|Du
|-
|-
!intervals
!2nd 5L1s
|^d5
!LLLLsL
|^m2
|Da
|^m6
|Ru
|^m3
|Fo
|^m7
|Sa
|^4
|'''Lu'''
|^1
|'''Tho'''
|Da
|-
|-
!notes
!3rd 5L1s
|^Gb
!LLLsLL
|^Db
|Da
|^Ab
|Ru
|^Eb
|Fo
|^Bb
|'''Sa'''
|^F
|'''Su'''
|^C
|Tho
|Da
|-
|-
| colspan="9" |
!4th 5L1s
!LLsLLL
|Da
|Ru
|'''Fo'''
|'''Fa'''
|Su
|Tho
|Da
|-
|-
! rowspan="3" |plain
!5th 5L1s
 
!LsLLLL
genchain
|Da
!solfege
|'''Ru'''
|Na
|'''No'''
|Tha
|Fa
|Fa
|'''Da'''
|Su
|Sa
|Tho
|Ra
|Da
|La
|-
|-
!intervals
!6th 5L1s
|m3
!sLLLLL
|m7
|Da
|P4
|'''Du'''
|'''P1'''
|No
|P5
|Fa
|M2
|Su
|M6
|Tho
|Da
|}
Similar tables can be made for every mode of 5L6s and 5L11s.
 
== #9 (P8, P11/3) ==
 
* G = ^4/vv5
* EI = 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"
|+
'''uniform solfege (-a = plain, -u = up, -o = down)'''
! colspan="37" |genspan
|-
|-
!notes
!18
|Eb
!17
|Bb
!16
|F
!15
|'''C'''
!14
|G
!13
|D
!12
|A
!11
|-
!10
| colspan="9" |
!9
|-
!8
! rowspan="3" |down
!7
 
!6
genchain
!5
!solfege
!4
|Do
!3
|So
!2
|Ro
!1
|Lo
!0
|Mo
!-1
|To
!-2
|Po
!-3
!-4
!-5
!-6
!-7
!-8
!-9
!-10
!-11
!-12
!-13
!-14
!-15
!-16
!-17
!-18
|-
|-
!intervals
|Sha
|v8
|Fro
|v5
|Shu
|vM2
|Fra
|vM6
|Flo
|vM3
|Fru
|vM7
|Fla
|vA4
|No
|Flu
|Na
|Tho
|Nu
|Tha
|Fo
|Thu
|Fa
|Do
|Fu
|'''Da'''
|So
|Du
|Sa
|Ro
|Su
|Ra
|Lo
|Ru
|La
|Mo
|Lu
|Ma
|To
|Mu
|Ta
|Po
|Tu
|Pa
|-
|-
!notes
|d5
|vC
|vm2
|vG
|^d5
|vD
|m2
|vA
|vm6
|vE
|^m2
|vB
|m6
|vF#
|vm3
|^m6
|m3
|vm7
|^m3
|m7
|v4
|^m7
|P4
|v8
|^4
|'''P1'''
|v5
|^1
|P5
|vM2
|^5
|M2
|vM6
|^M2
|M6
|vM3
|^M6
|M3
|vM7
|^M3
|M7
|vA4
|^M7
|A4
|-
|-
| colspan="9" |
|Gb
|-
|vDb
! rowspan="3" |dup/dud
|^Gb
 
|Db
genchain
|vAb
!solfege
|^Db
|Le
|Ab
|Me
|vEb
|Te
|^Ab
|Pe/Shi
|Eb
|Fri
|vBb
|Fli
|^Eb
|Ni
|Bb
|vF
|^Bb
|F
|vC
|^F
|'''C'''
|vG
|^C
|G
|vD
|^G
|D
|vA
|^D
|A
|vE
|^A
|E
|vB
|^E
|B
|vF#
|^B
|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
|-
|-
!intervals
!1st 2L7s
|vvM6
!LsssLssss
|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
|Da
|'''Fri'''
|Nu
|Nu
|'''Mo'''
|Fo
|Shi
|Fa
|'''Sa'''
|Fu
|Lo
|'''Tho'''
|'''Thu'''
|Tha
|Thu
|Do
|Da
|Da
|-
|-
!2nd 4L4s
!2nd 2L7s
!Ls-Ls-Ls-Ls
!LssssLsss
|Da
|Da
|'''Ro'''
|'''Nu'''
|Nu
|Fo
|'''Fa'''
|Fa
|Pe
|Fu
|'''Flu'''
|'''So'''
|Lo
|Tha
|'''Te'''
|Thu
|Do
|Da
|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
!3rd 2L7s
!LLs-LLs-LLs-LLs
!sLsssLsss
|Da
|Da
|Fri
|'''Du'''
|'''Ra'''
|Fo
|Nu
|Fa
|Mo
|Fu
|'''Fu'''
|So
|Shi
|'''Tha'''
|Sa
|Thu
|'''Fli'''
|Do
|Lo
|Da
|Thu
|-
|'''To'''
!4th 2L7s
|Da
!sLssssLss
|-
|Da
!2nd 8L4s
|Du
!LsL-LsL-LsL-LsL
|'''Fo'''
|Da
|Fa
|'''Fri'''
|Fu
|'''Ro'''
|So
|Nu
|'''Sa'''
|'''Mo'''
|Thu
|'''Fa'''
|Do
|Pe/Shi
|Da
|'''Sa'''
|-
|'''Flu'''
!5th 2L7s
|Lo
!ssLsssLss
|'''Thu'''
|Da
|'''Te'''
|Du
|Da
|'''Ro'''
|-
|Fa
!3rd 8L4s
|Fu
!sLL-sLL-sLL-sLL
|So
|Da
|Sa
|'''Fru'''
|'''Thu'''
|Ro
|Do
|Nu
|Da
|'''Me'''
|-
|Fa
!6th 2L7s
|Pe
!ssLssssLs
|'''So'''
|Da
|Flu
|Du
|Lo
|Ro
|'''Tha'''
|'''Fa'''
|Te
|Fu
|Da
|So
|}
|Sa
 
|'''Su'''
== #17 (P8, P4/4) ==
|Do
* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1, etc.
|Da
* EI's: ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, and any combo of these
|-
* ^ = 25¢ + 4.75c, / = 50¢ - 2.5c
!7th 2L7s
 
!sssLsssLs
MOS scales covered:
|Da
 
|Du
* 8 = 1L7s
|Ro
* 9 = 1L8s
|'''Ra'''
* 10 = 9L1s (all but 2 modes)
|Fu
* 11 = 10L1s (all but 4 modes) Sa must be > 3\5 = 720¢
|So
* etc.
|Sa
 
|Su
{| class="wikitable center-all"
|'''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) ==
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)
* G = P5 '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2)
* EI = ^<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" rowspan="2" |
! colspan="7" |genspan (gen = P5)
|-
!-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"
|+
'''solfege #1 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
| colspan="2" rowspan="2" |
! colspan="7" |genspan (gen = vvA1/^^m2)
|-
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |Nu's
 
genchain
!solfege
|Do
|Fru
|Ro
|Nu
|Mo
|Fu
|Po
|-
!intervals
|v8
|^m2
|vM2
|^m3
|vM3
|^4
|vA4
|-
!notes
|vC
|^Db
|vD
|^Eb
|vE
|^F
|vF#
|-
| colspan="9" |
|-
! rowspan="3" |Da's
 
genchain
!solfege
|Le
|Tha
|Te
|'''Da'''
|Fri
|Ra
|Ni
|-
!intervals
|vvM6
|m7
|vvM7
|'''P1'''
|^^m2
|M2
|^^m3
|-
!notes
|vvA
|Bb
|vvB
|'''C'''
|^^Db
|D
|^^Eb
|-
| colspan="9" |
|-
! rowspan="3" |Lo's
 
genchain
!solfege
|Shu
|So
|Flu
|Lo
|Thu
|To
|Du
|-
!intervals
|^d5
|v5
|^m6
|vM6
|^m7
|vM7
|^1
|-
!notes
|^Gb
|vG
|^Ab
|vA
|^Bb
|vB
|^C
|-
| colspan="9" |
|-
! rowspan="3" |Sa's
 
genchain
!solfege
|Na
|Me
|Fa
|Pe/Shi
|Sa
|Fli
|La
|-
!intervals
|m3
|vvM3
|P4
|vvA4/^^d5
|P5
|^^m6
|M6
|-
!notes
|Eb
|vvE
|F
|vvF#/^^Gb
|G
|^^Ab
|A
|}
Note that solfege #1 doesn't work for 16-note MOS scales, because those require that P5 be < 700¢. So the outer two columns (genspan 3 or -3) aren't used much. Use solfege #2 for 16-note MOS scales.
{| class="wikitable center-all"
|+
4L4s MOS scales (L = vM2 , s = vvA1/^^m2) using solfege #1
 
if P5 > 5\8 = 750¢, swap L and s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!
!tritone
!
!6th
!7th
!8ve
|-
!1st 4L4s
!sL-sL-sL-sL
|Da
|'''Fri'''
|Nu
|'''Mo'''
|Pe/Shi
|'''Sa'''
|Lo
|'''Thu'''
|Da
|-
!2nd 4L4s
!Ls-Ls-Ls-Ls
|Da
|'''Ro'''
|Nu
|'''Fa'''
|Pe/Shi
|'''Flu'''
|Lo
|'''Te'''
|Da
|}
{| class="wikitable center-all"
|+
8L4s MOS scales (L = vvA1/^^m2, s = vvvA1/^m2) using solfege #1
![[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'''
|Pe/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/Shi
|'''So'''
|Flu
|Lo
|'''Tha'''
|Te
|Da
|}
 
=== Solfege #2 (P5 < 700¢) ===
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
| colspan="2" rowspan="2" |
! colspan="7" |genspan (gen = P5)
|-
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |down
 
genchain
!solfege
|Sho
|Fro
|Flo
|No
|Tho
|Fo
|Do
|-
!intervals
|vd5
|vm2
|vm6
|vm3
|vm7
|v4
|v1
|-
!notes
|vGb
|vDb
|vAb
|vEb
|vBb
|vF
|vC
|-
| 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" |up
 
genchain
!solfege
|Du
|Su
|Ru
|Lu
|Mu
|Tu
|Pu
|-
!intervals
|^8
|^5
|^M2
|^M6
|^M3
|^M7
|^A4
|-
!notes
|^C
|^G
|^D
|^A
|^E
|^B
|^F#
|-
| colspan="9" |
|-
! rowspan="3" |dup/dud
 
genchain
!solfege
|Li
|Mi
|Ti
|Pi/She
|Fre
|Fle
|Ne
|-
!intervals
|^^M6
|^^M3
|^^M7
|^^A4/vvd5
|vvm2
|vvm6
|vvm3
|-
!notes
|^^A
|^^E
|^^B
|^^F#/vvGb
|vvDb
|vvAb
|vvEb
|}
{| class="wikitable center-all"
|+
'''solfege #2 (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
| colspan="2" rowspan="2" |
! colspan="7" |genspan (gen = vvA1/^^m2)
|-
!-3
!-2
!-1
!0
!1
!2
!3
|-
! rowspan="3" |No's
 
genchain
!solfege
|Du
|Fro
|Ru
|No
|Mu
|Fo
|Pu
|-
!intervals
|^8
|vm2
|^M2
|vm3
|^M3
|v4
|^A4
|-
!notes
|^C
|vDb
|^D
|vEb
|^E
|vF
|^F#
|-
| colspan="9" |
|-
! rowspan="3" |Da's
 
genchain
!solfege
|Li
|Tha
|Ti
|'''Da'''
|Fre
|Ra
|Ne
|-
!intervals
|^^M6
|m7
|^^M7
|'''P1'''
|vvm2
|M2
|vvm3
|-
!notes
|^^A
|Bb
|^^B
|'''C'''
|vvDb
|D
|vvEb
|-
| colspan="9" |
|-
! rowspan="3" |Lu's
 
genchain
!solfege
|Sho
|Su
|Flo
|Lu
|Tho
|Tu
|Do
|-
!intervals
|vd5
|^5
|vm6
|^M6
|vm7
|^M7
|v1
|-
!notes
|vGb
|^G
|vAb
|^A
|vBb
|^B
|vC
|-
| colspan="9" |
|-
! rowspan="3" |Sa's
 
genchain
!solfege
|Na
|Mi
|Fa
|Pi/She
|Sa
|Fle
|La
|-
!intervals
|m3
|^^M3
|P4
|^^A4/vvd5
|P5
|vvm6
|M6
|-
!notes
|Eb
|^^E
|F
|^^F#/vvGb
|G
|vvAb
|A
|}
{| class="wikitable center-all"
|+
4L4s MOS scales (L = ^M2, s = ^^A1/vvm2) using solfege #2
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!2nd
!3rd
!
!tritone
!
!6th
!7th
!8ve
|-
!1st 4L4s
!sL-sL-sL-sL
|Da
|'''Fre'''
|No
|'''Mu'''
|Pi/She
|'''Sa'''
|Lu
|'''Tho'''
|Da
|-
!2nd 4L4s
!Ls-Ls-Ls-Ls
|Da
|'''Ru'''
|No
|'''Fa'''
|Pi/She
|'''Flo'''
|Lu
|'''Ti'''
|Da
|}
{| class="wikitable center-all"
|+
4L8s MOS scales (L = ^<sup>3</sup>A1/vm2, s = ^^A1/vvm2) using solfege #2
![[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
!ssL-ssL-ssL-ssL
|Da
|Fre
|'''Ra'''
|No
|Mu
|'''Fo'''
|Pi/She
|Sa
|'''Fle'''
|Lu
|Tho
|'''Tu'''
|Da
|-
!2nd 8L4s
!sLs-sLs-sLs-sLs
|Da
|'''Fre'''
|'''Ru'''
|No
|'''Mu'''
|'''Fa'''
|Pi/She
|'''Sa'''
|'''Flo'''
|Lu
|'''Tho'''
|'''Ti'''
|Da
|-
!3rd 8L4s
!Lss-Lss-Lss-Lss
|Da
|'''Fro'''
|Ru
|No
|'''Mi'''
|Fa
|Pi/She
|'''Su'''
|Flo
|Lu
|'''Tha'''
|Ti
|Da
|}
{| class="wikitable center-all"
|+
12L4s MOS scales (L = ^^A1/vvm2 = different consonant, s = ^1 = same consonant) using solfege #2
 
if P5 < 9\16 = 675¢, swap L and s for 4L12s
![[Genchain mode numbering|GMN]] name
!scale
!1sn
!
!2nd
!
! colspan="2" |3rds
!
!4th
!tritone
!5th
!
! colspan="2" |6ths
!
!7th
!
!8ve
|-
!1st 12L4s
!LLLs-LLLs-LLLs-LLLs
|Da
|Fre
|Ra
|'''Ne'''
|No
|Mu
|Fo
|'''Pu'''
|Pi/She
|Sa
|Fle
|'''La'''
|Lu
|Tho
|Tu
|'''Do'''
|Da
|-
!2nd 12L4s
!LLsL-LLsL-LLsL-LLsL
|Da
|Fre
|'''Ra'''
|'''Ru'''
|No
|Mu
|'''Fo'''
|'''Fa'''
|Pi/She
|Sa
|'''Fle'''
|'''Flo'''
|Lu
|Tho
|'''Tu'''
|'''Ti'''
|Da
|-
!3rd 12L4s
!LsLL-LsLL-LsLL-LsLL
|Da
|'''Fre'''
|'''Fro'''
|Ru
|No
|'''Mu'''
|'''Mi'''
|Fa
|Pi/She
|'''Sa'''
|'''Su'''
|Flo
|Lu
|'''Tho'''
|'''Tha'''
|Ti
|Da
|-
!4th 12L4s
!sLLL-sLLL-sLLL-sLLL
|Da
|'''Du'''
|Fro
|Ru
|No
|'''Na'''
|Mi
|Fa
|Pi/She
|'''Sho'''
|Su
|Flo
|Lu
|'''Li'''
|Tha
|Ti
|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 must be > 3\5 = 720¢
* etc.
 
{| class="wikitable center-all"
|+
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
| rowspan="2" |
| rowspan="2" |
Line 13,860: Line 15,008:
== <nowiki>#</nowiki>18 (P8, P5/4) ==
== <nowiki>#</nowiki>18 (P8, P5/4) ==
* G = vM2 = ^<sup>3</sup>m2
* G = vM2 = ^<sup>3</sup>m2
* EI = v<sup>4</sup>A1
* EI = v<sup>4</sup>A1 = 0¢
* ^ = 25¢ + 1.75c
* ^ = 25¢ + 1.75c


Line 14,087: Line 15,235:
|}
|}


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


* G = ^M3 = v\4 = v/d4 = ^//m3
* G = ^M3 = v\4 = v/d4 = ^//m3
Line 14,096: Line 15,244:


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


MOS scales covered:
MOS scales covered:
Line 14,282: Line 15,431:
== <nowiki>#</nowiki>22 (P8/2, M2/4) ==
== <nowiki>#</nowiki>22 (P8/2, M2/4) ==
* P = ^^4 = vv5, G = ^1 = v<sup>3</sup>M2
* P = ^^4 = vv5, G = ^1 = v<sup>3</sup>M2
* EI = v<sup>4</sup>M2
* EI = v<sup>4</sup>M2 = 0¢
* ^ = 50¢ + c/2
* ^ = 50¢ + c/2


Line 14,437: Line 15,586:
|Fa
|Fa
|Fu
|Fu
|FI
|Fi
Se
Se
|So
|So
Line 14,891: Line 16,040:




<nowiki>#</nowiki>33 (P8/5, P5)
== <nowiki>#</nowiki>33 (P8/5, P5) (Incomplete) ==
If P5 > 720¢, swap up with down and dup with dud.
 
 


<nowiki>#</nowiki>34 (P8, P4/5)
<nowiki>#</nowiki>34 (P8, P4/5)
Retrieved from "https://en.xen.wiki/w/User:TallKite/Solfeges"