@@ Line 8,011: / Line 8,011: @@
 == 46edo ==
-Could use only 5 vowels by using -e for dud/upmid.
+Could use 5 vowels by using -e for dud/upmid.
 {| class="wikitable center-all"
 |+
@@ Line 9,350: / Line 9,350: @@
 == #1 (P8, P5) unsplit ==
-* P = P8, G = P5
+* G = P5 = 700¢ + c
 * EI = vA1 = 0¢ (extended solfege only)
 * ^ = # = 100 + 7c (extended solfege only)
@@ Line 9,932: / Line 9,932: @@
 There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
-* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2)
+* P = vA4/^d5 (solfege #1) '''<u>or</u>''' ^A4/vd5 (solfege #2) = 600¢
-* G = P5 '''<u>or</u>''' vA1/^m2 (solfege #1) '''<u>or</u>''' ^A1/vm2 (solfege #2)
+* G = P5 = 700¢ + c
-* EI = ^^d2 (solfege #1) '''<u>or</u>''' vvd2 (solfege #2)
+*   '''<u>or</u>''' vA1/^m2 (solfege #1) = 100¢ + c
+*   '''<u>or</u>''' ^A1/vm2 (solfege #2) = 100¢ + c
+* EI = ^^d2 (solfege #1) = 0¢
+* '''<u>or</u>''' vvd2 (solfege #2) = 0¢
 * ^ = 6 '''⋅''' |c|
@@ Line 11,093: / Line 11,096: @@
 == #3 (P8, P4/2) half-4th ==
-* G = ^M2/vm3
+* G = ^M2/vm3 = 250¢ - c/2
 * EI = vvm2 = 0¢
 * ^ = 50¢ - 2.5c
@@ Line 11,467: / Line 11,470: @@
 == #4 (P8, P5/2) half-5th (needs 7L3s table) ==
-* G = ^m3/vM3 = ~3
+* G = ^m3/vM3 = ~3 = 350¢ + c/2
 * EI = vvA1 = 0¢
 * ^ = 50¢ + 3.5c
@@ Line 11,709: / Line 11,712: @@
 == #6 (P8/3, P5) third-8ve ==
 There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
-* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2)
+* P = vM3/^^d4 (solfege #1) '''<u>or</u>''' ^M3/vvd4 (solfege #2) = 400¢
-* G = P5 '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2)
+* G = P5 = 700¢ + c '''<u>or</u>''' vvA1/^m2 (solfege #1) '''<u>or</u>''' ^^A1/vm2 (solfege #2) = 100¢ - c
 * EI = ^<sup>3</sup>d2 = 0¢
 * ^ = 4 '''⋅''' |c|
@@ Line 13,086: / Line 13,089: @@
 == #7 (P8, P4/3) third-4th ==
-* G = vM2/^^m2 = ^~2
+* G = vM2/^^m2 = ^~2 = 167¢ - c/3
 * EI = v<sup>3</sup>A1 = 0¢
 * ^ = (100¢ + 7c) / 3
@@ Line 13,575: / Line 13,578: @@
 == #8 (P8, P5/3) third-5th ==
-* G = ^M2/vvm3
+* G = ^M2/vvm3 = 233¢ + c/3
 * EI = v<sup>3</sup>m2 = 0¢
 * ^ = (100¢ - 5c) / 3
@@ Line 13,852: / Line 13,855: @@
 == #9 (P8, P11/3) third-11th (needs 2L3s and 2L5s tables?) ==
-* G = ^4/vv5
+* G = ^4/vv5 = 567¢ - c/3
 * EI = v<sup>3</sup>M2 = 0¢
 * ^ = (200¢ + 2c) / 3 (quite large, a literal third-tone)
@@ Line 14,124: / Line 14,127: @@
 == <nowiki>#</nowiki>16 (P8/4, P5) quarter-8ve ==
 There are two solfeges. Use solfege #1 if P5 > 700¢, and use solfege #2 if P5 < 700¢.
-* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2)
+* P = ^m3/v<sup>3</sup>A2 (solfege #1) '''<u>or</u>''' vm3/^<sup>3</sup>A2 (solfege #2) = 300¢
-* G = P5 '''<u>or</u>''' vvA1/^^m2 (solfege #1) '''<u>or</u>''' ^^A1/vvm2 (solfege #2)
+* 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¢
 * ^ = 3 '''⋅''' |c|
@@ Line 15,006: / Line 15,009: @@
 == #17 (P8, P4/4) quarter-4th ==
-* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1, etc.
+* G = ^m2 = v<sup>3</sup>AA1 = v\M2 = v/A1 = 125¢ - c/4
-* EI's: ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, and any combo of these
+* EI's = ^<sup>4</sup>dd2, \\m2, ^^\d2, vv\A1, etc.
-* ^ = 25¢ + 4.75c, / = 50¢ - 2.5c
+* ^ = 25¢ + 4.75c
+* / = 50¢ - 2.5c
 MOS scales covered:
@@ Line 15,514: / Line 15,518: @@
 == <nowiki>#</nowiki>18 (P8, P5/4) quarter-5th ==
-* G = vM2 = ^<sup>3</sup>m2
+* G = vM2 = ^<sup>3</sup>m2 = 175¢ + c/4
 * EI = v<sup>4</sup>A1 = 0¢
 * ^ = 25¢ + 1.75c
@@ Line 15,743: / Line 15,747: @@
 == <nowiki>#</nowiki>19 (P8, P11/4) quarter-11th (decide 4 vowels or 5?) ==
 Could use only 4 vowels by defining -i as mid = /m = \M and replacing -e with -i.
-* G = ^M3 = v<sup>3</sup>4 = v\4 = v/d4 = ^//m3
+* 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.
-* ^ = 25¢ - 4.25c, / = 50¢ + 3.5c
+* ^ = 25¢ - 4.25c
+* / = 50¢ + 3.5c
 MOS scales covered:
@@ Line 16,214: / Line 16,219: @@
 == <nowiki>#</nowiki>20 (P8, P12/4) quarter-12th (incomplete) ==
-* G = v4 = ^<sup>3</sup>M3
+* G = v4 = ^<sup>3</sup>M3 = 475¢ + c/4
 * EI = v<sup>4</sup>m2 = 0¢
 * ^ = 25¢ - 1.25c
@@ Line 16,371: / Line 16,376: @@
 == <nowiki>#</nowiki>22 (P8/2, M2/4) half-8ve quarter-tone ==
-* P = ^^4 = vv5, G = ^1 = v<sup>3</sup>M2
+* P = ^^4 = vv5 = 600¢
+* G = ^1 = v<sup>3</sup>M2 = 50¢ + c/2
 * EI = v<sup>4</sup>M2 = 0¢
 * ^ = 50¢ + c/2
@@ Line 16,980: / Line 16,986: @@
 == <nowiki>#</nowiki>33 (P8/5, P5) fifth-8ve ==
 If P5 > 3\5 = 720¢, swap up with down, and dup with dud, to get solfege #2.
-* P = ^^M2/v<sup>3</sup>m3
+* P = ^^M2 = v<sup>3</sup>m3 = 240¢
-* G = P5 '''<u>or</u>''' ^1/v<sup>4</sup>m2
+* G = P5 = 700¢ + c '''<u>or</u>''' ^1 = v<sup>4</sup>m2 = 20¢ - c
 * EI = v<sup>5</sup>m2 = 0¢
 * ^ = 20¢ - c
@@ Line 17,533: / Line 17,539: @@
 == <nowiki>#</nowiki>34 (P8, P4/5) fifth-4th ==
-* G = ^^m2/v<sup>3</sup>A1
+* G = ^^m2 = v<sup>3</sup>A1 = 100¢ - c/5
-* EI = ^<sup>5</sup>d2
+* EI = ^<sup>5</sup>d2 = 0¢
 * ^ = 2.4c
@@ Line 17,981: / Line 17,987: @@
 == <nowiki>#</nowiki>35 (P8, P5/5) fifth-5th ==
-* G = vM2 / ^<sup>4</sup>d1
+* G = vM2 = ^<sup>4</sup>d1 = 140¢ + c/5
-* EI = v<sup>5</sup>A2
+* EI = v<sup>5</sup>A2 = 0¢
 * ^ = 60¢ + 1.8c
@@ Line 18,348: / Line 18,354: @@
 |}
-== <nowiki>#</nowiki>36 (P8, P11/5) fifth-11th (incomplete) ==
+== <nowiki>#</nowiki>36 (P8, P11/5) fifth-11th ==
+This pergen can be thought of as "half-down5th".
+* G = ^^m3 = v<sup>3</sup>M3 = 340¢ - c/5
+* EI = v<sup>5</sup>A1 = 0¢
+* ^ = 20¢ + 1.4c
+MOS scales covered:
+* 7 = 4L3s if P5 > 4\7 = 686¢ (for 3L4s use half-5th solfege)
+* 11 = 7L4s
+* 18 = 7L11s and 11L7s
-== <nowiki>#</nowiki>37 (P8, P12/5) fifth-12th (incomplete) ==
+{| class="wikitable center-all"
-+2 genspan requires an aug 5th :(
+|+
+'''uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud)'''
-P1 -- vM3 -- vvA5=\m6 -- /M7=^^d8 -- ^m10 -- P12
+|-
+!genspan
-Da -- Mo -- Fle -- Ti -- Nu -- Sa
+!-20
+!...
+!10
+!9
+!8
+!7
+!6
+!5
+!4
+!3
+!2
+!1
+!0
+!-1
+!-2
+!-3
+!-4
+!-5
+!-6
+!-7
+!-8
+!-9
+!-10
+!...
+!-20
+|-
+!solfege
+|Fla
+|...
+|Tha
+|Se
+|Nu
+|Do
+|Fli
+|Fa
+|Re
+|Thu
+|So
+|Ni
+|'''Da'''
+|Le
+|Fu
+|Ro
+|Thi
+|Sa
+|Me
+|Du
+|Lo
+|Fi
+|Ra
+|...
+|Ma
+|-
+!intervals
+|m6
+|...
+|m7
+|^~5
+|^m3
+|v8
+|v~6
+|P4
+|^~2
+|^m7
+|v5
+|v~3
+|'''P1'''
+|^~6
+|^4
+|vM2
+|v~7
+|P5
+|^~2
+|^1
+|vM6
+|v~4
+|M2
+|...
+|M3
+|-
+!notes
+|Ab
+|...
+|Bb
+|vvG
+|^Eb
+|vC
+|^^Ab
+|F
+|vvD
+|^Bb
+|vG
+|^^Eb
+|'''C'''
+|vvA
+|^F
+|vD
+|^^Bb
+|G
+|vvE
+|^C
+|vA
+|^^F
+|D
+|...
+|E
+|}
+{| class="wikitable center-all"
+|+
+L3s MOS scales (L = vM2 = ^<sup>4</sup>m2, s = vvM2 = ^<sup>3</sup>m2)
+![[Genchain mode numbering|GMN]] name
+!scale
+!1sn
+!2nd
+!3rd
+!4th
+!5th
+!6th
+!7th
+!8ve
+|-
+!1st 4L3s
+!LLsLsLs
+|Da
+|Ro
+|'''Me'''
+|Fu
+|Sa
+|Le
+|Thi
+|Da
+|-
+!2nd 4L3s
+!LsLLsLs
+|Da
+|Ro
+|'''Ni'''
+|Fu
+|'''Sa'''
+|Le
+|Thi
+|Da
+|-
+!3rd 4L3s
+!LsLsLLs
+|Da
+|Ro
+|Ni
+|Fu
+|'''So'''
+|Le
+|'''Thi'''
+|Da
+|-
+!4th 4L3s
+!LsLsLsL
+|Da
+|'''Ro'''
+|Ni
+|Fu
+|So
+|Le
+|'''Thu'''
+|Da
+|-
+!5th 4L3s
+!sLLsLsL
+|Da
+|'''Re'''
+|Ni
+|'''Fu'''
+|So
+|Le
+|Thu
+|Da
+|-
+!6th 4L3s
+!sLsLLsL
+|Da
+|Re
+|Ni
+|'''Fa'''
+|So
+|'''Le'''
+|Thu
+|Da
+|-
+!7th 4L3s
+!sLsLsLL
+|Da
+|Re
+|Ni
+|Fa
+|So
+|'''Fli'''
+|Thu
+|Da
+|}
+== <nowiki>#</nowiki>37 (P8, P12/5) fifth-12th (incomplete) ==
+This pergen can be thought of as "half-dudaug5th".
+* G = vM3 = ^<sup>4</sup>dd4 = 380¢ + c/5
+* EI's = ^<sup>5</sup>dd2, \<sup>5</sup>d<sup>3</sup>4, ^^\d2, v\\m2, etc.
+* ^ = 20¢ + 3.8c
+* / = 40¢ - 4.4c
+MOS scales covered:
+* 7 = 3L4s (P5 is 515-800¢), but better to use half-5th solfege
+* 10 = 3L7s (P5 is 600-800¢)
+* 13 = 3L10s (and 10L3s if P5 < 7\13)
+{| class="wikitable center-all"
+|+
+'''uniform solfege (-a = plain, -u = up, -o = down, -i = lift, -e = drop)'''
+|-
+!genspan
+!-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
+|-
+!solfege
+|Ri
+|Shu
+|Tha
+|Ro
+|She
+|Li
+|Fru
+|Fa
+|Lo
+|Fre
+|Mi
+|Flu
+|'''Da'''
+|Mo
+|Fle
+|Ti
+|Nu
+|Sa
+|To
+|Ne
+|Pi
+|Thu
+|Ra
+|Po
+|The
+|-
+!intervals
+|/M2
+|^d5
+|m7
+|vM2
+|\d5
+|/M6
+|^m2
+|P4
+|vM6
+|\m2
+|/M3
+|^m6
+|'''P1'''
+|vM3
+|\m6
+|/M7
+|^m3
+|P5
+|vM7
+|\m3
+|/A4
+|^m7
+|M2
+|vA4
+|\m7
+|-
+!notes
+|/D
+|^Gb
+|Bb
+|vD
+|\Gb
+|/A
+|^Db
+|F
+|vA
+|\Db
+|/E
+|^Ab
+|'''C'''
+|vE
+|\Ab
+|/B
+|^Eb
+|G
+|vB
+|\Eb
+|/F#
+|^Bb
+|D
+|vF#
+|\Bb
+|}
 ==  <nowiki>#</nowiki>38 (P8, ccP4/5) fifth-coco-4th (incomplete) ==
+* G = ^^4 = v<sup>3</sup>5 = 580¢ - c/5
+* EI = v<sup>5</sup>M2 = 0¢
+* ^ = 40¢ + 0.4c
+MOS scales covered:

User:TallKite/Solfeges: Difference between revisions