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User:TallKite/List of Solfeges: Difference between revisions

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Line 9,116: Line 9,116:
|}In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''.
|}In the MOS scale tables, any note that changes from one mode to the next is '''bolded'''.


The EI (enharmonic interval) can be added to or subtracted from any note or interval to get an equivalent note or interval.
The EU ([[enharmonic unison]]) can be added to or subtracted from any note or interval to get an equivalent note or interval.


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.to do:  
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.to do:  
Line 9,365: Line 9,365:


* G = P5 = 700¢ + c
* G = P5 = 700¢ + c
* EI = vA1 = 0¢ (extended solfege only)
* EU = vA1 = 0¢ (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)
* ^ = # = 100 + 7c (extended solfege only)


Line 9,952: Line 9,952:
*  '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
*  '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
*  '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
*  '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
* EI = ^^d2 (solfege #1) = 0¢
* EU = ^^d2 (solfege #1) = 0¢
* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
* ^ = 6 '''⋅''' |c|
* ^ = 6 '''⋅''' |c|
Line 11,129: Line 11,129:


* G = ^M2/vm3 = 250¢ - c/2
* G = ^M2/vm3 = 250¢ - c/2
* EI = vvm2 = 0¢
* EU = vvm2 = 0¢
* ^ = 50¢ - 2.5c
* ^ = 50¢ - 2.5c


Line 11,502: Line 11,502:
== #4 (P8, P5/2) half-5th (list alternate pergens) ==
== #4 (P8, P5/2) half-5th (list alternate pergens) ==
* G = ^m3/vM3 = ~3 = 350¢ + c/2
* G = ^m3/vM3 = ~3 = 350¢ + c/2
* EI = vvA1 = 0¢
* EU = vvA1 = 0¢
* ^ = 50¢ + 3.5c
* ^ = 50¢ + 3.5c


Line 11,908: Line 11,908:
* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2) = 400¢
* 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
* 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¢
* EU = ^<sup>3</sup>d2 = 0¢
* ^ = 4 '''⋅''' |c|
* ^ = 4 '''⋅''' |c|


Line 13,330: Line 13,330:


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


Line 13,819: Line 13,819:


* G = ^M2/vvm3 = 233¢ + c/3
* G = ^M2/vvm3 = 233¢ + c/3
* EI = v<sup>3</sup>m2 = 0¢
* EU = v<sup>3</sup>m2 = 0¢
* ^ = (100¢ - 5c) / 3
* ^ = (100¢ - 5c) / 3


Line 14,096: Line 14,096:


* G = ^4/vv5 = 567¢ - c/3
* G = ^4/vv5 = 567¢ - c/3
* EI = v<sup>3</sup>M2 = 0¢
* EU = v<sup>3</sup>M2 = 0¢
* ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)
* ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)


Line 14,369: Line 14,369:
* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2) = 300¢
* 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
* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2) = 100¢ + c
* EI = ^<sup>4</sup>d2 = 0¢
* EU = ^<sup>4</sup>d2 = 0¢
* ^ = 3 '''⋅''' |c|
* ^ = 3 '''⋅''' |c|


Line 15,282: Line 15,282:
== #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 15,791: Line 15,791:
== <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 16,033: Line 16,033:
== <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 16,505: Line 16,505:


* 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 16,663: Line 16,663:
* 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 17,277: Line 17,277:
* 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 17,849: Line 17,849:


* 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 18,297: Line 18,297:


* 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 18,667: Line 18,667:


* 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 18,882: Line 18,882:
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 19,254: Line 19,254:
==<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 19,516: Line 19,516:
!pergen
!pergen
!period
!period
!EI
!EU
!perchain
!perchain
|-
|-
Line 19,577: Line 19,577:
*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 20,032: Line 20,032:
*P = M2/m2 = 171¢
*P = M2/m2 = 171¢
*G = ^1 = c
*G = ^1 = c
*EI = A1 = 0¢
*EU = A1 = 0¢
*^ = c
*^ = c


Line 20,411: Line 20,411:
!
!
!pergen
!pergen
!EI
!EU
! colspan="2" |vowels
! colspan="2" |vowels
!perchain and/or genchain
!perchain and/or genchain
Line 20,603: Line 20,603:
!pergen
!pergen
!period
!period
!EI
!EU
!perchain
!perchain
|-
|-
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