Xenharmonic Wiki

41edo solfege: Difference between revisions

← Older edit
VisualWikitext
TallKite (talk | contribs)
autopatrolled, Sysops
4,192 edits
explained the Ti - Fi issue more
Wilh3lm (talk | contribs)
22 edits
→Shasavistic harmononyms: Filled in missing harmononyms (though I really hope 3 and 38 have better approximations than Xcyli and Jus)
 
(3 intermediate revisions by 2 users not shown)
Line 8: Line 8:
!edosteps
!edosteps
! colspan="2" |solfege
! colspan="2" |solfege
! colspan="2" |[[Ups and downs notation|ups and downs]] names
! colspan="4" |[[Ups and downs notation|ups and downs]] names
|-
|-
!unisons
!unisons
Line 14: Line 14:
| colspan="2" |Da Du
| colspan="2" |Da Du
| colspan="2" |P1 ^1
| colspan="2" |P1 ^1
| colspan="2" |C ^C
|-
|-
!2nds
!2nds
Line 21: Line 22:
| vm2 m2 ^m2
| vm2 m2 ^m2
|~2 vM2 M2 ^M2
|~2 vM2 M2 ^M2
|vDb Db ^Db
|vvD vD D ^D
|-
|-
!3rds
!3rds
Line 28: Line 31:
|vm3 m3 ^m3
|vm3 m3 ^m3
|~3 vM3 M3 ^M3
|~3 vM3 M3 ^M3
|vEb Eb ^Eb
|vvE vE E ^E
|-
|-
!4ths
!4ths
Line 33: Line 38:
| colspan="2" | Fo Fa Fu
| colspan="2" | Fo Fa Fu
| colspan="2" | v4 P4 ^4
| colspan="2" | v4 P4 ^4
| colspan="2" |vF F ^F
|-
|-
!tritones
!tritones
|19-22
|19-22
| colspan="2" | Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" | Fi/Sho Po/Sha Pa/Shu Pu/Si
| colspan="2" | ~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" | ~4/vd5 vA4/d5 A4/^d5 ^A4/~5
| colspan="2" |^^F/vGb  vF#/Gb  F#/^Gb  ^F#/vvG
|-
|-
!5ths
!5ths
Line 43: Line 50:
| colspan="2" | So Sa Su
| colspan="2" | So Sa Su
| colspan="2" | v5 P5 ^5
| colspan="2" | v5 P5 ^5
| colspan="2" |vG G ^G
|-
|-
!6ths
!6ths
Line 50: Line 58:
|vm6 m6 ^m6
|vm6 m6 ^m6
|~6 vM6 M6 ^M6
|~6 vM6 M6 ^M6
|vAb Ab ^Ab
|vvA vA A ^A
|-
|-
!7ths
!7ths
Line 57: Line 67:
|vm7 m7 ^m7
|vm7 m7 ^m7
|~7 vM7 M7 ^M7
|~7 vM7 M7 ^M7
|vBb Bb ^Bb
|vvB vB B ^B
|-
|-
!8ves
!8ves
Line 62: Line 74:
| colspan="2" |Do Da
| colspan="2" |Do Da
| colspan="2" |v8 P8
| colspan="2" |v8 P8
| colspan="2" |vC C
|}
|}
The seven 2nds illustrate the solfege's logic:
The seven 2nds illustrate the solfege's logic:
Line 158: Line 171:
{| class="wikitable" style="text-align:center;"
{| class="wikitable" style="text-align:center;"
|+
|+
<-- nut                                       bridge -->
<-- nut                                                                                                                                     bridge -->
|Tho
|'''Pa'''
|Thu
|So
|To
|Su
|Tu
|Fla
|Da
|Li
! colspan="3" |
|La
|'''Tho'''
|'''Thu'''
|'''To'''
|'''Tu'''
|'''Da'''
! colspan="9" |
|-
|-
|Sha
|'''Ru'''
|Si
|Na
|Sa
|Mi
|Flo
|Ma
|Flu
|Fo
|Lo
|Fu
|Lu
|'''Sha'''
|Tha
|'''Si'''
|'''Sa'''
|'''Flo'''
|'''Flu'''
|'''Lo'''
|'''Lu'''
|'''Tha'''
|Ti
|Ta
|Do
|Du
|Fra
|Ri
|-
|-
| Ra
|Ti
|No
|Ta
| Nu
|Do
| Mo
|Du
|Mu
|Fra
| Fa
|Ri
| Fi
| '''Ra'''
|Pa
|'''No'''
| '''Nu'''
| '''Mo'''
|'''Mu'''
| '''Fa'''
| '''Fi'''
|'''Pa'''
|So
|Su
|Fla
|Li
|La
|'''Tho'''
|-
|-
! colspan="3" |
! colspan="9" |
|Da
|'''Da'''
| Fro
| '''Fro'''
|Fru
|'''Fru'''
|Ro
|'''Ro'''
|Ru
|'''Ru'''
|Na
|Mi
|Ma
|Fo
|Fu
|'''Sha'''
|}
|}


Line 317: Line 366:
In general, one can add or subtract any conventional (i.e. plain) interval from any note, and the result will be as expected. But only if the expected answer exists in the solfege. It must exist on the 13-note chain of 5ths from dim5 to aug4. In other words, the expected answer must not be augmented or diminished, unless it's an aug4 or a dim5. (Otherwise, one must use an enharmonic equivalent.)  For example, one can easily add a M3 to any note other than a L-, M-, T- or P- note. Thus Ro + M3 = Po and Na + M3 = Sa, but La + M3 = Fru. Beware, because the -i chain is only 6 notes long, when adding to or subtracting from an -i note, the expected answer must exist on the P5-A4 chain.
In general, one can add or subtract any conventional (i.e. plain) interval from any note, and the result will be as expected. But only if the expected answer exists in the solfege. It must exist on the 13-note chain of 5ths from dim5 to aug4. In other words, the expected answer must not be augmented or diminished, unless it's an aug4 or a dim5. (Otherwise, one must use an enharmonic equivalent.)  For example, one can easily add a M3 to any note other than a L-, M-, T- or P- note. Thus Ro + M3 = Po and Na + M3 = Sa, but La + M3 = Fru. Beware, because the -i chain is only 6 notes long, when adding to or subtracting from an -i note, the expected answer must exist on the P5-A4 chain.


One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. No double-upmajor, double-upminor or double-downminor intervals! (Double-downmajor is mid, thus Ro + vM2 = Mi.)
One can often easily add/subtract an unconventional (upped or downed) interval as well. The ups and downs add up and cancel out as expected. Thus Ra + vM2 = Mo and Ru + vM2 = Ma. Obviously the vowel will change. Again, the expected answer must exist in the solfege. No dupmajor, dupminor or dudminor intervals! (Dudmajor is mid, thus Ro + vM2 = Mi.)


==Andrew Heathwaite's Solfege==
==Andrew Heathwaite's Solfege==
Line 450: Line 499:
The two 5-limit scales are the same as conventional solfege.
The two 5-limit scales are the same as conventional solfege.


== Shasavistic harmononyms ==
Harmononyms are the system of pitch names used in Shasavistic music theory, developed by [[L4MPLIGHT]].
Here are some harmononyms for each pitch class in 41-EDO, the temperament preferred by L4MPLIGHT. Note that multiple harmononyms may exist for different ratios that get tempered to the same pitch class.
{| class="wikitable"
|+
!41-edo steps
!Harmononym
!Ratio
|-
|0
|Ah
|1/1
|-
|1
|Schup
|64/63
|-
|2
|Chyzi
|33/32
|-
|3
|Xcyli
|135/128
|-
|4
|Fus
|16/15
|-
|5
|Chyk
|12/11
|-
|6
|Schuli
|10/9
|-
|7
|Scy
|9/8
|-
|8
|Pu
|8/7
|-
|9
|Fumi
|7/6
|-
|10
|Ju
|32/27
|-
|11
|Chys
|6/5
|-
|12
|Schuzi
|11/9
|-
|13
|Ly
|5/4
|-
|14
|Myk
|14/11
|-
|15
|Scyp
|9/7
|-
|16
|Chymi
|21/16
|-
|17
|Fu
|4/3
|-
|18
|Xcys
|27/20
|-
|19
|Zy
|11/8
|-
|20
|Sumi
|7/5
|-
|21
|Lyp
|10/7
|-
|22
|Tschu
|16/11
|-
|23
|Juli
|40/27
|-
|24
|Chy
|3/2
|-
|25
|Fup
|32/21
|-
|26
|Dry
|25/16
|-
|27
|Puzi
|11/7
|-
|28
|Su
|8/5
|-
|29
|Scyk
|18/11
|-
|30
|Fuli
|5/3
|-
|31
|Xcy
|27/16
|-
|32
|Chyp
|12/7
|-
|33
|My
|7/4
|-
|34
|Schu
|16/9
|-
|35
|Scys
|9/5
|-
|36
|Fuzi
|11/6
|-
|37
|Chyli
|15/8
|-
|38
|Jus
|256/135
|-
|39
|Fuk
|64/33
|-
|40
|Scymi
|63/32
|}
[[Category:41edo]]
[[Category:41edo]]
[[Category:Solfege]]
[[Category:Solfege]]
[[Category:Kite Guitar]]
[[Category:Kite Guitar]]
Retrieved from "https://en.xen.wiki/w/41edo_solfege"