User:TallKite/Solfeges: Difference between revisions
mostly complete for all relevant edos and pergens |
|||
| Line 9,106: | Line 9,106: | ||
explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa. | explain the 1st mode always has Sa and not Fa, and the last mode always has Fa and not Sa. | ||
Sometimes -i and -e mean lift/drop not dup/dud. If so, note that there are no words for uplift, downlift, etc. | |||
make a table of pergens and what MOS scales each one covers | make a table of pergens and what MOS scales each one covers | ||
| Line 9,546: | Line 9,548: | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+ | ||
2L3s MOS scales (L = m3, s = M2) | 2L3s MOS scales (L = m3, s = M2), L/s = (300-3c)/(200+2c) | ||
![[Genchain mode numbering|GMN]] name | ![[Genchain mode numbering|GMN]] name | ||
! colspan="2" |scale | ! colspan="2" |scale | ||
| Line 9,608: | Line 9,610: | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+ | ||
5L2s MOS scales (L = M2, s = m2) | 5L2s MOS scales (L = M2, s = m2), L/s = (200+2c)/(100-5c) | ||
![[Genchain mode numbering|GMN]] name | ![[Genchain mode numbering|GMN]] name | ||
! colspan="2" |scale | ! colspan="2" |scale | ||
| Line 9,706: | Line 9,708: | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+ | ||
5L7s MOS scales (L = A1/^1, s = m2/vM2) using the extended solfege | 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 | ![[Genchain mode numbering|GMN]] name | ||
!scale | !scale | ||
| Line 9,970: | Line 9,974: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 10,020: | Line 10,026: | ||
genchain | genchain | ||
perspan = ±1 | |||
!solfege | !solfege | ||
|Do | |Do | ||
| Line 10,087: | Line 10,095: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 10,137: | Line 10,147: | ||
genchain | genchain | ||
perspan = ±1 | |||
!solfege | !solfege | ||
|Do | |Do | ||
| Line 10,473: | Line 10,485: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 10,523: | Line 10,537: | ||
genchain | genchain | ||
perspan = ±1 | |||
!solfege | !solfege | ||
|Du | |Du | ||
| Line 10,590: | Line 10,606: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 10,640: | Line 10,658: | ||
genchain | genchain | ||
perspan = ±1 | |||
!solfege | !solfege | ||
|Du | |Du | ||
| Line 11,744: | Line 11,764: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Ro | |Ro | ||
| Line 11,770: | Line 11,792: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Tha | |Tha | ||
| Line 11,796: | Line 11,820: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Shu | |Shu | ||
| Line 11,831: | Line 11,857: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Shu | |Shu | ||
| Line 11,857: | Line 11,885: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Ro | |Ro | ||
| Line 11,880: | Line 11,910: | ||
| colspan="7" | | | colspan="7" | | ||
|- | |- | ||
! rowspan="3" |Sa' | ! rowspan="3" |Sa's | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Tha | |Tha | ||
| Line 11,926: | Line 11,958: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Tho | |Tho | ||
| Line 11,976: | Line 12,010: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 12,026: | Line 12,062: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Re | |Re | ||
| Line 12,093: | Line 12,131: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Tho | |Tho | ||
| Line 12,143: | Line 12,183: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 12,193: | Line 12,235: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Re | |Re | ||
| Line 12,423: | Line 12,467: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Ru | |Ru | ||
| Line 12,449: | Line 12,495: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Tha | |Tha | ||
| Line 12,475: | Line 12,523: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Sho | |Sho | ||
| Line 12,510: | Line 12,560: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Sho | |Sho | ||
| Line 12,536: | Line 12,588: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Ru | |Ru | ||
| Line 12,559: | Line 12,613: | ||
| colspan="7" | | | colspan="7" | | ||
|- | |- | ||
! rowspan="3" |Sa' | ! rowspan="3" |Sa's | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Tha | |Tha | ||
| Line 12,605: | Line 12,661: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Thu | |Thu | ||
| Line 12,655: | Line 12,713: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 12,705: | Line 12,765: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Ri | |Ri | ||
| Line 12,772: | Line 12,834: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Thu | |Thu | ||
| Line 12,822: | Line 12,886: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Sha | |Sha | ||
| Line 12,872: | Line 12,938: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Ri | |Ri | ||
| Line 13,855: | Line 13,923: | ||
Similar tables can be made for every mode of 5L6s and 5L11s. | Similar tables can be made for every mode of 5L6s and 5L11s. | ||
== #9 (P8, P11/3) third-11th | == #9 (P8, P11/3) third-11th == | ||
* G = ^4/vv5 = 567¢ - c/3 | * G = ^4/vv5 = 567¢ - c/3 | ||
| Line 14,157: | Line 14,225: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Shu | |Shu | ||
| Line 14,189: | Line 14,259: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Na | |Na | ||
| Line 14,221: | Line 14,293: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Do | |Do | ||
| Line 14,253: | Line 14,327: | ||
genchain | genchain | ||
perspan = ±2 | |||
!solfege | !solfege | ||
|Le | |Le | ||
| Line 14,296: | Line 14,372: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Do | |Do | ||
| Line 14,328: | Line 14,406: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Le | |Le | ||
| Line 14,360: | Line 14,440: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Shu | |Shu | ||
| Line 14,392: | Line 14,474: | ||
genchain | genchain | ||
perspan = ±2 | |||
!solfege | !solfege | ||
|Na | |Na | ||
| Line 14,542: | Line 14,626: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Sho | |Sho | ||
| Line 14,574: | Line 14,660: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Na | |Na | ||
| Line 14,606: | Line 14,694: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Du | |Du | ||
| Line 14,638: | Line 14,728: | ||
genchain | genchain | ||
perspan = ±2 | |||
!solfege | !solfege | ||
|Li | |Li | ||
| Line 14,681: | Line 14,773: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Du | |Du | ||
| Line 14,713: | Line 14,807: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Li | |Li | ||
| Line 14,745: | Line 14,841: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Sho | |Sho | ||
| Line 14,777: | Line 14,875: | ||
genchain | genchain | ||
perspan = ±2 | |||
!solfege | !solfege | ||
|Na | |Na | ||
| Line 16,424: | Line 16,524: | ||
chain | chain | ||
per-span = 0 | |||
|Shu | |Shu | ||
|Shi | |Shi | ||
| Line 16,521: | Line 16,623: | ||
chain | chain | ||
per-span = ±1 | |||
|Fro | |Fro | ||
|Fra | |Fra | ||
| Line 17,018: | Line 17,122: | ||
genchain | genchain | ||
perspan = 2 | |||
!solfege | !solfege | ||
|Fro | |Fro | ||
| Line 17,057: | Line 17,163: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Thi | |Thi | ||
| Line 17,096: | Line 17,204: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Fla | |Fla | ||
| Line 17,135: | Line 17,245: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|She | |She | ||
| Line 17,174: | Line 17,286: | ||
genchain | genchain | ||
perspan = -2 | |||
!solfege | !solfege | ||
|Nu | |Nu | ||
| Line 17,225: | Line 17,339: | ||
genchain | genchain | ||
perspan = 2 | |||
!solfege | !solfege | ||
|She | |She | ||
| Line 17,263: | Line 17,379: | ||
genchain | genchain | ||
perspan = 1 | |||
!solfege | !solfege | ||
|Nu | |Nu | ||
| Line 17,301: | Line 17,419: | ||
genchain | genchain | ||
perspan = 0 | |||
!solfege | !solfege | ||
|Fro | |Fro | ||
| Line 17,339: | Line 17,459: | ||
genchain | genchain | ||
perspan = -1 | |||
!solfege | !solfege | ||
|Thi | |Thi | ||
| Line 17,377: | Line 17,499: | ||
genchain | genchain | ||
perspan = -2 | |||
!solfege | !solfege | ||
|Fla | |Fla | ||
| Line 18,572: | Line 18,696: | ||
|Da | |Da | ||
|} | |} | ||
== <nowiki>#</nowiki>37 (P8, P12/5) fifth-12th | == <nowiki>#</nowiki>37 (P8, P12/5) fifth-12th == | ||
This pergen can be thought of as "half-dudaug5th". | This pergen can be thought of as "half-dudaug5th". | ||
* G = vM3 = ^ | * 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. | * EI's = ^<sup>5</sup>dd2, \<sup>5</sup>d<sup>3</sup>4, ^^\d2, v\\m2, etc. | ||
* ^ = 20¢ + 3.8c | * ^ = 20¢ + 3.8c | ||
| Line 18,697: | Line 18,821: | ||
|\Bb | |\Bb | ||
|} | |} | ||
== | {| class="wikitable center-all" | ||
* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5 | |+ | ||
* EI = v<sup>5</sup>M2 = 0¢ | 3L4s MOS scales (L = ^m3 = v/A2 = \\d4, s = ^/1 = vvA1 = \m2) | ||
* ^ = 40¢ + 0.4c | ![[Genchain mode numbering|GMN]] name | ||
!scale | |||
!0 | |||
!1 | |||
!2 | |||
!3 | |||
!4 | |||
!5 | |||
!6 | |||
!7 | |||
|- | |||
!1st 3L4s | |||
!LsLsLss | |||
|Da | |||
|Nu | |||
|Mo | |||
|Sa | |||
|Fle | |||
|'''To''' | |||
|Ti | |||
|Da | |||
|- | |||
!2nd 3L4s | |||
!LsLssLs | |||
|Da | |||
|Nu | |||
|Mo | |||
|'''Sa''' | |||
|Fle | |||
|'''Flu''' | |||
|Ti | |||
|Da | |||
|- | |||
!3rd 3L4s | |||
!LssLsLs | |||
|Da | |||
|'''Nu''' | |||
|Mo | |||
|'''Mi''' | |||
|Fle | |||
|Flu | |||
|Ti | |||
|Da | |||
|- | |||
!4th 3L4s | |||
!sLsLsLs | |||
|Da | |||
|'''Fre''' | |||
|Mo | |||
|Mi | |||
|Fle | |||
|Flu | |||
|'''Ti''' | |||
|Da | |||
|- | |||
!5th 3L4s | |||
!sLsLssL | |||
|Da | |||
|Fre | |||
|Mo | |||
|Mi | |||
|'''Fle''' | |||
|Flu | |||
|'''Lo''' | |||
|Da | |||
|- | |||
!6th 3L4s | |||
!sLssLsL | |||
|Da | |||
|Fre | |||
|'''Mo''' | |||
|Mi | |||
|'''Fa''' | |||
|Flu | |||
|Lo | |||
|Da | |||
|- | |||
!7th 3L4s | |||
!ssLsLsL | |||
|Da | |||
|Fre | |||
|'''Fru''' | |||
|Mi | |||
|Fa | |||
|Flu | |||
|Lo | |||
|Da | |||
|} | |||
{| class="wikitable center-all" | |||
|+ | |||
3L7s MOS scales (L = ^/M2 = vvA2 = \m3, s = ^/1 = vvA1 = \m2) | |||
![[Genchain mode numbering|GMN]] name | |||
!scale | |||
!plain | |||
!drop | |||
!up | |||
!down | |||
!lift | |||
!plain | |||
!drop | |||
!up | |||
!down | |||
!lift | |||
!plain | |||
|- | |||
!1st 3L7s | |||
!LssLssLsss | |||
|Da | |||
|Ne | |||
|Nu | |||
|Mo | |||
|Pi | |||
|Sa | |||
|Fle | |||
|'''Thu''' | |||
|To | |||
|Ti | |||
|Da | |||
|- | |||
!2nd 3L7s | |||
!LssLsssLss | |||
|Da | |||
|Ne | |||
|Nu | |||
|Mo | |||
|'''Pi''' | |||
|Sa | |||
|Fle | |||
|'''Flu''' | |||
|To | |||
|Ti | |||
|Da | |||
|- | |||
!3rd 3L7s | |||
!LsssLssLss | |||
|Da | |||
|'''Ne''' | |||
|Nu | |||
|Mo | |||
|'''Mi''' | |||
|Sa | |||
|Fle | |||
|Flu | |||
|To | |||
|Ti | |||
|Da | |||
|- | |||
!4th 3L7s | |||
!sLssLssLss | |||
|Da | |||
|'''Fre''' | |||
|Nu | |||
|Mo | |||
|Mi | |||
|Sa | |||
|Fle | |||
|Flu | |||
|'''To''' | |||
|Ti | |||
|Da | |||
|- | |||
!5th 3L7s | |||
!sLssLsssLs | |||
|Da | |||
|Fre | |||
|Nu | |||
|Mo | |||
|Mi | |||
|'''Sa''' | |||
|Fle | |||
|Flu | |||
|'''Lo''' | |||
|Ti | |||
|Da | |||
|- | |||
!6th 3L7s | |||
!sLsssLssLs | |||
|Da | |||
|Fre | |||
|'''Nu''' | |||
|Mo | |||
|Mi | |||
|'''Fa''' | |||
|Fle | |||
|Flu | |||
|Lo | |||
|Ti | |||
|Da | |||
|- | |||
!7th 3L7s | |||
!ssLssLssLs | |||
|Da | |||
|Fre | |||
|'''Fru''' | |||
|Mo | |||
|Mi | |||
|Fa | |||
|Fle | |||
|Flu | |||
|Lo | |||
|'''Ti''' | |||
|Da | |||
|- | |||
!8th 3L7s | |||
!ssLssLsssL | |||
|Da | |||
|Fre | |||
|Fru | |||
|Mo | |||
|Mi | |||
|Fa | |||
|'''Fle''' | |||
|Flu | |||
|Lo | |||
|'''Li''' | |||
|Da | |||
|- | |||
!9th 3L7s | |||
!ssLsssLssL | |||
|Da | |||
|Fre | |||
|Fru | |||
|'''Mo''' | |||
|Mi | |||
|Fa | |||
|'''She''' | |||
|Flu | |||
|Lo | |||
|Li | |||
|Da | |||
|- | |||
!10th 3L7s | |||
!sssLssLssL | |||
|Da | |||
|Fre | |||
|Fru | |||
|'''Ro''' | |||
|Mi | |||
|Fa | |||
|She | |||
|Flu | |||
|Lo | |||
|Li | |||
|Da | |||
|} | |||
==<nowiki>#</nowiki>38 (P8, ccP4/5) fifth-coco-4th == | |||
* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5 | |||
* EI = v<sup>5</sup>M2 = 0¢ | |||
* ^ = 40¢ + 0.4c | |||
MOS scales covered: | MOS scales covered: | ||
* 5 = 2L3s | |||
* 7 = 2L5s | |||
* 9 = 2L7s | |||
* 11 = 2L9s | |||
* etc. | |||
{| class="wikitable center-all" | |||
|+ | |||
'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)''' | |||
|- | |||
!genspan | |||
!30 | |||
!... | |||
!10 | |||
!9 | |||
!8 | |||
!7 | |||
!6 | |||
!5 | |||
!4 | |||
!3 | |||
!2 | |||
!1 | |||
!0 | |||
!-1 | |||
!-2 | |||
!-3 | |||
!-4 | |||
!-5 | |||
!-6 | |||
!-7 | |||
!-8 | |||
!-9 | |||
!-10 | |||
!... | |||
!-30 | |||
|- | |||
!solfege | |||
|Sha | |||
|... | |||
|Tha | |||
|Fe | |||
|Thu | |||
|Fo | |||
|Thi | |||
|Fa | |||
|De | |||
|Fu | |||
|Do | |||
|Fi | |||
|'''Da''' | |||
|Se | |||
|Du | |||
|So | |||
|Di | |||
|Sa | |||
|Re | |||
|Su | |||
|Ro | |||
|Si | |||
|Ra | |||
|... | |||
|Pa | |||
|- | |||
!intervals | |||
|d5 | |||
|... | |||
|m7 | |||
|vv4 | |||
|^m7 | |||
|v4 | |||
|^^m7 | |||
|P4 | |||
|vv8 | |||
|^4 | |||
|v8 | |||
|^^4 | |||
|'''P1''' | |||
|vv5 | |||
|^1 | |||
|v5 | |||
|^^1 | |||
|P5 | |||
|vvM2 | |||
|^5 | |||
|vM2 | |||
|^^5 | |||
|M2 | |||
|... | |||
|A4 | |||
|- | |||
!notes | |||
|Gb | |||
|... | |||
|Bb | |||
|vvF | |||
|^Bb | |||
|vF | |||
|^^Bb | |||
|F | |||
|vvC | |||
|^F | |||
|vC | |||
|^^F | |||
|'''C''' | |||
|vvG | |||
|^C | |||
|vG | |||
|^^C | |||
|G | |||
|vvD | |||
|^G | |||
|vD | |||
|^^G | |||
|D | |||
|... | |||
|F# | |||
|} | |||
{| class="wikitable center-all" | |||
|+ | |||
2L7s MOS scales (L = , s = ^1 = v<sup>4</sup>M2) | |||
![[Genchain mode numbering|GMN]] name | |||
!scale | |||
!0 | |||
!1 | |||
!2 | |||
!3 | |||
!4 | |||
!5 | |||
!6 | |||
!7 | |||
!8 | |||
!9 | |||
|- | |||
!1st 2L7s | |||
!ssssLsssL | |||
|Da | |||
|Du | |||
|Di | |||
|Re | |||
|'''Ro''' | |||
|Se | |||
|So | |||
|Sa | |||
|Su | |||
|Da | |||
|- | |||
!2nd 2L7s | |||
!sssLssssL | |||
|Da | |||
|Du | |||
|Di | |||
|Re | |||
|'''Fi''' | |||
|Se | |||
|So | |||
|Sa | |||
|'''Su''' | |||
|Da | |||
|- | |||
!3rd 2L7s | |||
!sssLsssLs | |||
|Da | |||
|Du | |||
|Di | |||
|'''Re''' | |||
|Fi | |||
|Se | |||
|So | |||
|Sa | |||
|'''Do''' | |||
|Da | |||
|- | |||
!4th 2L7s | |||
!ssLssssLs | |||
|Da | |||
|Du | |||
|Di | |||
|'''Fu''' | |||
|Fi | |||
|Se | |||
|So | |||
|'''Sa''' | |||
|Do | |||
|Da | |||
|- | |||
!5th 2L7s | |||
!ssLsssLss | |||
|Da | |||
|Du | |||
|'''Di''' | |||
|Fu | |||
|Fi | |||
|Se | |||
|So | |||
|'''De''' | |||
|Do | |||
|Da | |||
|- | |||
!6th 2L7s | |||
!sLssssLss | |||
|Da | |||
|Du | |||
|'''Fa''' | |||
|Fu | |||
|Fi | |||
|Se | |||
|'''So''' | |||
|De | |||
|Do | |||
|Da | |||
|- | |||
!7th 2L7s | |||
!sLsssLsss | |||
|Da | |||
|'''Du''' | |||
|Fa | |||
|Fu | |||
|Fi | |||
|Se | |||
|'''Thi''' | |||
|De | |||
|Do | |||
|Da | |||
|- | |||
!8th 2L7s | |||
!LssssLsss | |||
|Da | |||
|'''Fo''' | |||
|Fa | |||
|Fu | |||
|Fi | |||
|'''Se''' | |||
|Thi | |||
|De | |||
|Do | |||
|Da | |||
|- | |||
!9th 2L7s | |||
!LsssLssss | |||
|Da | |||
|Fo | |||
|Fa | |||
|Fu | |||
|Fi | |||
|'''Thu''' | |||
|Thi | |||
|De | |||
|Do | |||
|Da | |||
|} | |||