User:TallKite/List of Solfeges: Difference between revisions
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still a WIP |
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| Line 4,492: | Line 4,492: | ||
|Da | |Da | ||
|} | |} | ||
Fru, Nu, Flu andThu are included to complete the -u circle | Fru, Nu, Flu andThu are included to complete the -u circle, so you can do interval arithmetic within it. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+'''circles of fifths''' | |+'''circles of fifths''' | ||
| Line 5,025: | Line 5,025: | ||
|}plain ring: Da Sa Ra/Na La/Tha Fa Da | |}plain ring: Da Sa Ra/Na La/Tha Fa Da | ||
up ring: Fu/Shu Fru Flu Nu Thu Fu/Shu | up ring: Fu/Shu Du/Fru Flu Nu Thu Fu/Shu | ||
downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi | downmid ring: Fi/Shi Fri Fli Ni Thi Fi/Shi | ||
| Line 5,032: | Line 5,032: | ||
down ring: Po/So Ro Lo Mo To/Do Po/So | down ring: Po/So Ro Lo Mo To/Do Po/So | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+'''circles of fifths''' | ||
! | ! | ||
! colspan="6" |plain circle | |||
! colspan=" | |||
|- | |- | ||
! | ! rowspan="3" |plain | ||
circle | |||
!0 | |||
!15 | |||
!5 | |||
!20 | |||
!10 | |||
!25 | |||
|- | |- | ||
|Da | |||
| | |Sa | ||
| | |Ra | ||
|Ra | |La | ||
| | |||
| | | | ||
| | |||
| | |||
|- | |- | ||
| | |||
| | | | ||
| | |Na | ||
| | |Tha | ||
|Fa | |||
|Da | |||
| | |||
| | |||
|- | |- | ||
| colspan="7" | | |||
| colspan=" | |||
|- | |- | ||
! | ! rowspan="3" |up | ||
circle | |||
!1 | |||
!16 | |||
!6 | |||
!21 | |||
!11 | |||
!1 | |||
|- | |- | ||
|Fru | |||
| | |Flu | ||
| | |Nu | ||
| | |Thu | ||
| | |Fu | ||
|Du | |||
|- | |- | ||
|Du | |||
| | |||
| | | | ||
| | | | ||
| | |Shu | ||
| | |Fru | ||
| | |||
| | |||
|- | |- | ||
| colspan="7" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="3" |downmid | ||
circle | |||
!2 | |||
!17 | |||
!7 | |||
!22 | |||
!12 | |||
!2 | |||
! | |- | ||
! | |Fri | ||
! | |Fli | ||
! | |Ni | ||
! | |Thi | ||
|Fi | |||
| | |||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
| | | | ||
| | |Shi | ||
| | |Fri | ||
|- | |- | ||
| colspan="7" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="3" |upmid | ||
| | circle | ||
| | !3 | ||
| | !18 | ||
| | !8 | ||
| | !23 | ||
!13 | |||
!3 | |||
|- | |||
|Ri | |||
|Li | |||
|Mi | |||
|Ti | |||
|Pi | |||
| | |||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
| | | | ||
| | |Si | ||
| | |Ri | ||
|- | |- | ||
| colspan="7" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="3" |down | ||
circle | |||
!4 | |||
!19 | |||
!9 | |||
!24 | |||
!14 | |||
!4 | |||
|- | |- | ||
|Ro | |||
| | |Lo | ||
| | |Mo | ||
| | |To | ||
| | |Po | ||
| | | | ||
|- | |- | ||
| | |||
| | | | ||
| | | | ||
| | | | ||
| | |So | ||
| | |Ro | ||
| | |} | ||
==26edo== | |||
|} | |||
== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = | |+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim) | ||
![[ | ![[26edo]] | ||
!edosteps | !edosteps | ||
! colspan="2" |solfege | ! colspan="2" |solfege | ||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-1 | |0-1 | ||
| colspan="2" |Da Du | | colspan="2" |Da Du | ||
| colspan="2" |P1 | | colspan="2" |P1 A1 | ||
| colspan="2" |C | | colspan="2" |C C# | ||
|- | |- | ||
!2nds | !2nds | ||
| | |2-5 | ||
| | |Fro Fra | ||
| | |Ra Ru | ||
| | |d2 m2 | ||
| | |M2 A2 | ||
| | |Dbb Db | ||
| | |D D# | ||
|- | |- | ||
!3rds | !3rds | ||
|6- | |6-9 | ||
|Na | |No Na | ||
| | |Ma Mu | ||
| | |d3 m3 | ||
| | |M3 A3 | ||
| | |Ebb Eb | ||
| | |E E# | ||
|- | |- | ||
!4ths | !4ths | ||
| | |10-12 | ||
| colspan="2" |Fa | | colspan="2" |Fo Fa Fu/Pa | ||
| colspan="2" |P4 | | colspan="2" |d4 P4 A4 | ||
| colspan="2" |F | | colspan="2" |Fb F F# | ||
|- | |- | ||
! | !tritone | ||
| | |13 | ||
| colspan="2" | | | colspan="2" |Pu/Sho | ||
| colspan="2" | | | colspan="2" |AA4/dd5 | ||
| colspan="2" | | | colspan="2" |Fx/Gbb | ||
|- | |- | ||
!5ths | !5ths | ||
|16 | |14-16 | ||
| colspan="2" |Sa | | colspan="2" |Sha/So Sa Su | ||
| colspan="2" |P5 | | colspan="2" |d5 P5 A5 | ||
| colspan="2" |G | | colspan="2" |Gb G G# | ||
|- | |- | ||
!6ths | !6ths | ||
|17- | |17-20 | ||
|Fla | |Flo Fla | ||
| | |La Lu | ||
| | |d6 m6 | ||
| | |M6 A6 | ||
| | |Abb Ab | ||
| | |A A# | ||
|- | |- | ||
!7ths | !7ths | ||
| | |21-24 | ||
|Tha | |Tho Tha | ||
| | |Ta Tu | ||
| | |d7 m7 | ||
| | |M7 A7 | ||
| | |Bbb Bb | ||
| | |B B# | ||
|- | |- | ||
!8ves | !8ves | ||
|26 | |25-26 (27) | ||
| colspan="2" | | | colspan="2" |Do Da (Du) | ||
| colspan="2" | | | colspan="2" |d8 P8 (A8) | ||
| colspan="2" | | | colspan="2" |Cb C (C#) | ||
|}'''Da''' Sa Ra La Ma Ta/''' | |}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da''' | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Kite's diatonic solfege (-o = downminor = dim, -i = minor, -a = major/perfect, -u = upmajor = aug) | ||
![[ | ![[26edo]] | ||
!edosteps | !edosteps | ||
! | !Kite's | ||
!Phylingual's | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | ! colspan="2" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-1 | ||
|Da Du Di | |Da Du | ||
|P1 | |Do Di | ||
|C | |P1 A1 | ||
|C C# | |||
|- | |- | ||
!2nds | !2nds | ||
|2- | |2-5 | ||
| | |Ro Ri Ra Ru | ||
| | |Rih Ru Re Ri | ||
| | |d2 m2 M2 A2 | ||
|Dbb Db D D# | |||
|- | |- | ||
!3rds | !3rds | ||
|6- | |6-9 | ||
| | |Mo Mi Ma Mu | ||
| | |Ma Me Muh/Mi Maa | ||
| | |d3 m3 M3 A3 | ||
|Ebb Eb E E# | |||
|- | |- | ||
!4ths | !4ths | ||
|10- | |10-12 | ||
| | |Fo Fa Fu/Pa | ||
| | |Fe Fa Fu | ||
| | |d4 P4 A4 | ||
|Fb F F# | |||
|- | |||
!tritone | |||
|13 | |||
|Pu/Sho | |||
|Fi/Se | |||
|AA4/dd5 | |||
|Fx/Gbb | |||
|- | |- | ||
!5ths | !5ths | ||
|14- | |14-16 | ||
| | |Sha/So Sa Su | ||
| | |Su So Si | ||
| | |d5 P5 A5 | ||
|Gb G G# | |||
|- | |- | ||
!6ths | !6ths | ||
| | |17-20 | ||
| | |Lo Li La Lu | ||
| | |Leh Le/Lu La Li | ||
| | |d6 m6 M6 A6 | ||
|Abb Ab A A# | |||
|- | |- | ||
!7ths | !7ths | ||
| | |21-24 | ||
| | |To Ti Ta Tu | ||
| | |Ta Te Tu/Ti To | ||
| | |d7 m7 M7 A7 | ||
|Bbb Bb B B# | |||
|- | |- | ||
!8ves | !8ves | ||
|26 | |25-26 (27) | ||
| | |Do Da (Du) | ||
| | |Da Do (Di) | ||
| | |d8 P8 (A8) | ||
|} | |Cb C (C#) | ||
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Ro Lo Mo To Fo '''Do''' <u>So Ri</u> Li Mi <u>Ti Fa</u> '''Da''' | |||
== 27edo == | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+uniform solfege (-a = plain, -u = up, -o = down, -i = mid) | ||
![[27edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
! | !unisons | ||
|0-1 | |||
| colspan="2" |Da Du/Fra | |||
| colspan="2" |P1 ^1/m2 | |||
| colspan="2" |C ^C/Db | |||
|- | |- | ||
| | !2nds | ||
| | |1-5 | ||
|Ra | |Du/Fra Fru | ||
| | |Ri Ro Ra | ||
|^1/m2 ^m2 | |||
| | |~2 vM2 M2 | ||
| | |^C/Db ^Db | ||
| | |vvD vD D | ||
|- | |- | ||
| | !3rds | ||
|6-10 | |||
|Na Nu | |||
|Mi Mo Ma | |||
|m3 ^m3 | |||
|~3 vM3 M3 | |||
|Eb ^Eb | |||
|vvE vE E | |||
|- | |- | ||
! | !4ths | ||
|11 | |||
| colspan="2" |Fa | |||
| colspan="2" |P4 | |||
| colspan="2" |F | |||
|- | |- | ||
!tritones | |||
| | |12-15 | ||
| | | colspan="2" |Fu/Sha Fi/Shu Po/Si Pa/So | ||
| | | colspan="2" |^4/b5 ~4/^d5 vA4/~5 A4/v5 | ||
| | | colspan="2" |^F/Gb ^^F/^Gb vF#/vvG F#/vG | ||
| | |||
| | |||
| | |||
|- | |- | ||
| colspan=" | !5ths | ||
|16 | |||
| colspan="2" |Sa | |||
| colspan="2" |P5 | |||
| colspan="2" |G | |||
|- | |- | ||
! | !6ths | ||
|17-21 | |||
|Fla Flu | |||
|Li Lo La | |||
|m6 ^m6 | |||
|~6 vM6 M6 | |||
|Ab ^Ab | |||
|vvA vA A | |||
|- | |- | ||
!7ths | |||
| | |22-26 | ||
| | |Tha Thu | ||
| | |Ti To Ta/Do | ||
| | |m7 ^m7 | ||
| | |~7 vM7 M7/v8 | ||
| | |Bb ^Bb | ||
| | |vvB vB B/vC | ||
|- | |- | ||
| colspan=" | !8ves | ||
| | |26-27 (28) | ||
| colspan="2" |Ta/Do Da (Du) | |||
| colspan="2" |M7/v8 P8 (^8) | |||
| colspan="2" |B/vC C (^C) | |||
|}circle of 5ths: '''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da''' | |||
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes. | |||
==28edo== | |||
| | |||
|Si | |||
== | |||
{| 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 = double-up, -e = double-down) | ||
![[ | ![[28edo]] | ||
!edosteps | !edosteps | ||
! | !solfege names | ||
! colspan=" | ! colspan="2" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-2 | ||
|Da Du Di/Re | |||
|P1 ^1 ^^1/vv2 | |||
| | |C ^C ^^C/vvD | ||
|- | |- | ||
!2nds | !2nds | ||
| | |2-6 | ||
| | |Di/Re Ro Ra Ru Ri/Me | ||
|^^1/vv2 v2 P2 ^2 ^^2/vv3 | |||
|^1/ | |^^C/vvD vD D ^D ^^D/vvE | ||
|^C/ | |||
|- | |- | ||
!3rds | !3rds | ||
|6- | |6-10 | ||
| | |Ri/Me Mo Ma Mu Mi/Fe | ||
|^^2/vv3 v3 P3 ^3 ^^3/vv4 | |||
|^ | |^^D/vvE vE E ^E ^^E/vvF | ||
|^D/ | |||
|- | |- | ||
!4ths | !4ths | ||
| | |10-14 | ||
| | |Mi/Fe Fo Fa Fu Fi/Se | ||
| | |^^3/vv4 v4 P4 ^4 ^^4/vv5 | ||
| | |^^E/vvF vF F ^F ^^F/vvG | ||
|- | |- | ||
! | !5ths | ||
|14- | |14-18 | ||
| | |Fi/Se So Sa Su Si/Le | ||
| | |^^4/vv5 v5 P5 ^5 ^^5/vv6 | ||
|^^F/vvG vG G ^G ^^G/vvA | |||
| | |||
|- | |- | ||
!6ths | !6ths | ||
|18- | |18-22 | ||
| | |Si/Le Lo La Lu Li/Te | ||
|^^5/vv6 v6 P6 ^6 ^^6/vv7 | |||
|^5/ | |^^G/vvA vA A ^A ^^A/vvB | ||
|^G/ | |||
|- | |- | ||
!7ths | !7ths | ||
| | |22-26 | ||
| | |Li/Te To Ta Tu Ti/De | ||
|^^6/vv7 v7 P7 ^7 ^^7/vv8 | |||
|^ | |^^A/vvB vB B ^B ^^B/vvC | ||
|^A/ | |||
|- | |- | ||
!8ves | !8ves | ||
|28 | |26-28 (29 30) | ||
| | |Ti/De Do Da (Du Di) | ||
| | |^^7/vv8 v8 P8 (^8 ^^8) | ||
| | |^^B/vvC vC C (^C ^^C) | ||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+'''circles of fifths''' | ||
|- | |- | ||
! | ! rowspan="2" |plain circle | ||
!0 | |||
!16 | |||
!4 | |||
!20 | |||
!8 | |||
!24 | |||
!12 | |||
!28 | |||
|- | |- | ||
|Da | |||
| | |Sa | ||
| | |Ra | ||
| | |La | ||
| | |Ma | ||
|Ta | |||
|Fa | |||
|Da | |||
|- | |- | ||
| colspan="9" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="2" |up circle | ||
!1 | |||
!17 | |||
!5 | |||
!21 | |||
!9 | |||
!25 | |||
!13 | |||
!1 | |||
|- | |- | ||
|Du | |||
| | |Su | ||
| | |Ru | ||
|Lu | |||
| | |Mu | ||
| | |Tu | ||
|Fu | |||
| | |Du | ||
| | |||
| | |||
| | |||
|- | |- | ||
| colspan="9" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="2" |down circle | ||
| | !27 | ||
!15 | |||
!3 | |||
!19 | |||
!7 | |||
!23 | |||
!11 | |||
!27 | |||
! | |||
! | |||
! | |||
! | |||
|- | |- | ||
|Do | |||
| | |So | ||
| | |Ro | ||
| | |Lo | ||
| | |Mo | ||
|To | |||
|Fo | |||
|Do | |||
|- | |- | ||
| colspan="9" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="3" |in-between circle | ||
| | !2 | ||
!18 | |||
!6 | |||
!22 | |||
!10 | |||
!26 | |||
!14 | |||
!2 | |||
|- | |- | ||
|Di | |||
| | |Si | ||
| | |Ri | ||
| | |Li | ||
| | |Mi | ||
|Ti | |||
|Fi | |||
|Di | |||
|- | |- | ||
|Re | |||
| | |Le | ||
| | |Me | ||
|Te | |||
|Fe | |||
|De | |||
|Se | |||
|Re | |||
|} | |||
==29edo== | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 36edo | |||
![[29edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
! | !unisons | ||
| | |0-1 | ||
| colspan="2" | | | colspan="2" |Da Du/Fro | ||
| colspan="2" | | | colspan="2" |P1 ^1/vm2 | ||
| colspan="2" | | | colspan="2" |C ^C/vDb | ||
|- | |- | ||
! | !2nds | ||
| | |1-6 | ||
| | |Du/Fro Fra Fru | ||
| | |Ro Ra Ru/No | ||
| | |^1/vm2 m2 ^m2 | ||
| | |vM2 M2 ^M2/vm3 | ||
| | |^C/vDb Db ^Db | ||
| | |vD D ^D/vEb | ||
|- | |- | ||
! | !3rds | ||
| | |6-11 | ||
| | |Ru/No Na Nu | ||
| | |Mo Ma Mu/Fo | ||
| | |^M2/vm3 m3 ^m3 | ||
| | |vM3 M3 ^M3/v4 | ||
| | |^D/vEb Eb ^Eb | ||
| | |vE E ^E/vF | ||
|- | |- | ||
! | !4ths | ||
| | |11-13 | ||
| colspan="2" | | | colspan="2" |Mu/Fo Fa Fu | ||
| colspan="2" | | | colspan="2" |^M3/v4 P4 ^4 | ||
| colspan="2" | | | colspan="2" |^E/vF F ^F | ||
|- | |- | ||
! | !tritones | ||
| | |14-15 | ||
| | | colspan="2" |Po/Sha Pa/Shu | ||
| | | colspan="2" |vA4/d5 A4/^d5 | ||
| | | colspan="2" |vF#/Gb F#/^Gb | ||
|- | |- | ||
! | !5ths | ||
| | |16-18 | ||
| | | colspan="2" |So Sa Su/Flo | ||
| | | colspan="2" |v5 P5 ^5/vm6 | ||
| colspan="2" |vG G ^G/vAb | |||
| | |||
|v5 P5 ^5 | |||
|vG G ^G | |||
|- | |- | ||
!6ths | !6ths | ||
| | |18-23 | ||
|vm6 m6 | |Su/Flo Fla Flu | ||
|vAb Ab vA A ^A | |Lo La Lu/Tho | ||
|^5/vm6 m6 ^m6 | |||
|vM6 M6 ^M6/vm7 | |||
|^G/vAb Ab ^Ab | |||
|vA A ^A/vBb | |||
|- | |- | ||
!7ths | !7ths | ||
| | |23-28 | ||
|vm7 m7 | |Lu/Tho Tha Thu | ||
|vBb Bb vB B ^B | |To Ta Tu/Do | ||
|^M6/vm7 m7 ^m7 | |||
|vM7 M7 ^M7/v8 | |||
|^A/vBb Bb ^Bb | |||
|vB B ^B/vC | |||
|- | |- | ||
!8ves | !8ves | ||
| | |28-29 (30) | ||
|v8 P8 (^8) | | colspan="2" |Tu/Do Da (Du) | ||
|vC C (^C | | colspan="2" |^M7/v8 P8 (^8) | ||
| colspan="2" |^B/vC C (^C) | |||
|} | |}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da''' | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Phylingual's solfege | ||
![[ | ![[29edo]] | ||
!edosteps | |||
!solfege names | !solfege names | ||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | ! colspan="2" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
| | |0-1 | ||
|Do Di | |||
|P1 ^1 | |P1 ^1 | ||
|C ^C | |C ^C | ||
|- | |- | ||
!2nds | !2nds | ||
|2-6 | |2-6 | ||
|Rih Ra Ru Re Raw | |||
|m2 ^m2 vM2 M2 ^M2 | |||
|Db ^Db vD D ^D | |||
|- | |- | ||
!3rds | !3rds | ||
|7-11 | |7-11 | ||
|Meh Me Mi Maa Maw | |||
|m3 ^m3 vM3 M3 ^M3 | |||
|Eb ^Eb vE E ^E | |||
|- | |- | ||
!4ths | !4ths | ||
|12-14 | |12-14 | ||
|Fa Fu Fi | |||
|P4 ^4 ^^4 | |||
|Fa | |F ^F ^^F | ||
| | |||
|F | |||
|- | |- | ||
!5ths | !5ths | ||
|Se | |15-18 | ||
|v5 P5 ^5 | |Se Su So Saw | ||
|vG G ^G | |vv5 v5 P5 ^5 | ||
|vvG vG G ^G | |||
|- | |- | ||
!6ths | !6ths | ||
| | |19-23 | ||
| | |Leh Le La Laa Law | ||
| | |m6 ^m6 vM6 M6 ^M6 | ||
|Ab ^Ab vA A ^A | |||
|- | |- | ||
!7ths | !7ths | ||
| | |24-27 | ||
| | |Teh Te Ti Taa | ||
| | |m7 ^m7 vM7 M7 | ||
|Bb ^Bb vB B | |||
|- | |- | ||
!8ves | !8ves | ||
| | |28-29 (30) | ||
|Da Do (Di) | |||
|v8 P8 (^8) | |v8 P8 (^8) | ||
|vC C (^C) | |vC C (^C) | ||
| | |} | ||
==31edo== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+uniform solfege (-a = plain, -u = up, -o = down) | ||
![[31edo]] | ![[31edo]] | ||
!edosteps | !edosteps | ||
!solfege names | ! colspan="2" |solfege names | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-1 | |0-1 | ||
| | | colspan="2" |Da Du | ||
|P1 ^1 | | colspan="2" |P1 ^1 | ||
|C ^C | | colspan="2" |C ^C | ||
|- | |- | ||
!2nds | !2nds | ||
|2-6 | |2-6 | ||
|Ro Ra Ru | |Fro Fra | ||
|vm2 m2 ~2 M2 ^M2 | |Ro Ra Ru | ||
|vDb Db vD D ^D | |vm2 m2 | ||
|~2 M2 ^M2 | |||
|vDb Db | |||
|vD D ^D | |||
|- | |- | ||
!3rds | !3rds | ||
|7-11 | |7-11 | ||
|Ma | |No Na | ||
|vm3 m3 ~3 M3 ^M3 | |Mo Ma Mu | ||
|vEb Eb vE E ^E | |vm3 m3 | ||
|~3 M3 ^M3 | |||
|vEb Eb | |||
|vE E ^E | |||
|- | |- | ||
!4ths | !4ths | ||
|12- | |12-14 | ||
| | | colspan="2" |Fo Fa Fu/Po | ||
|v4 P4 ^4 | | colspan="2" |v4 P4 ^4 | ||
|vF F ^F F# | | colspan="2" |vF F ^F/vF# | ||
|- | |||
!tritones | |||
|15-16 | |||
| colspan="2" |Pa/Sho Pu/Sha | |||
| colspan="2" |A4/vd5 ^A4/d5 | |||
| colspan="2" |F#/vGb ^F#/Gb | |||
|- | |- | ||
!5ths | !5ths | ||
| | |17-19 | ||
| | | colspan="2" |So Sa Su | ||
| | | colspan="2" |v5 P5 ^5 | ||
| | | colspan="2" |vG G ^G | ||
|- | |- | ||
!6ths | !6ths | ||
|20-24 | |20-24 | ||
|Lo | |Flo Fla | ||
|vm6 m6 ~6 M6 ^M6 | |Lo La Lu | ||
|vAb Ab vA A ^A | |vm6 m6 | ||
|- | |~6 M6 ^M6 | ||
|vAb Ab | |||
|vA A ^A | |||
|- | |||
!7ths | !7ths | ||
|25-29 | |25-29 | ||
|Ta | |Tho Tha | ||
|vm7 m7 ~7 M7 ^M7 | |To Ta Tu | ||
|vBb Bb vB B ^B | |vm7 m7 | ||
|~7 M7 ^M7 | |||
|vBb Bb | |||
|vB B ^B | |||
|- | |- | ||
!8ves | !8ves | ||
|30-31 (32) | |30-31 (32) | ||
|Da | | colspan="2" |Do Da (Du) | ||
|v8 P8 (^8) | | colspan="2" |v8 P8 (^8) | ||
|vC C (^C) | | colspan="2" |vC C (^C) | ||
|} | |}circle of 5ths: '''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da''' | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Kite's bright-dim solfege (-i -e -a -o -u = ^M M ~ m vm), see 24edo | ||
![[ | ![[31edo]] | ||
!solfege names | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | |||
!edosteps | !edosteps | ||
|- | |- | ||
!unisons | !unisons | ||
|Do Da | |||
|P1 ^1 | |||
|C ^C | |||
|0-1 | |0-1 | ||
|- | |- | ||
!2nds | !2nds | ||
| | |Ru Ro Ra Re Ri | ||
|vm2 m2 ~2 M2 ^M2 | |||
|vDb Db vD D ^D | |||
| | |2-6 | ||
| | |||
| | |||
|- | |- | ||
!3rds | !3rds | ||
| | |Mu Mo Ma Me Mi | ||
|vm3 m3 ~3 M3 ^M3 | |||
|vEb Eb vE E ^E | |||
|m3 | |7-11 | ||
|Eb ^ | |||
| | |||
|- | |- | ||
!4ths | !4ths | ||
| | |Fu Fo Fa | ||
|v4 P4 ^4 | |||
| | |vF F ^F | ||
| | |12-14 | ||
|- | |- | ||
!tritones | !tritones | ||
| | |Fe/Su Fi/So | ||
|A4/vd5 ^A4/d5 | |||
| | |F#/vGb ^F#/Gb | ||
| | |15-16 | ||
|- | |- | ||
!5ths | !5ths | ||
|Sa Se Si | |||
|v5 P5 ^5 | |||
| | |vG G ^G | ||
| | |17-19 | ||
|- | |- | ||
!6ths | !6ths | ||
| | |Lu Lo La Le Li | ||
|vm6 m6 ~6 M6 ^M6 | |||
|vAb Ab vA A ^A | |||
|m6 | |20-24 | ||
|Ab ^ | |||
| | |||
|- | |- | ||
!7ths | !7ths | ||
| | |Tu To Ta Te Ti | ||
|vm7 m7 ~7 M7 ^M7 | |||
|vBb Bb vB B ^B | |||
|m7 | |25-29 | ||
|Bb ^ | |||
| | |||
|- | |- | ||
!8ves | !8ves | ||
| | |Du Do (Da) | ||
|v8 P8 (^8) | |||
| | |vC C (^C) | ||
| | |30-31 (32) | ||
|} | |}As a circle of 5ths: | ||
Du | <u>'''Do''' Se</u> Re Le Me Te Fe/Su Ru Lu Mu Tu Fu <u>'''Du''' Sa</u> Ra La Ma Ta Fa <u>'''Da''' Si</u> Ri Li Mi Ti Fi/So Ro Lo Mo To Fo '''Do''' | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Kite's solfege (-u -a -e -i -o = Upmajor mAjor nEutral mInor dOwnminor) | ||
![[ | ![[31edo]] | ||
!solfege names | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | |||
!edosteps | !edosteps | ||
|- | |- | ||
!unisons | !unisons | ||
|Da Du | |||
|P1 ^1 | |||
|C ^C | |||
|0-1 | |||
|- | |- | ||
!2nds | !2nds | ||
| | |Ro Ri Re Ra Ru | ||
|vm2 m2 ~2 M2 ^M2 | |||
|vDb Db vD D ^D | |||
| | |2-6 | ||
| | |||
| | |||
|- | |- | ||
!3rds | !3rds | ||
| | |Mo Mi Me Ma Mu | ||
|vm3 m3 ~3 M3 ^M3 | |||
|vEb Eb vE E ^E | |||
| | |7-11 | ||
| | |||
| | |||
|- | |- | ||
!4ths | !4ths | ||
| | |Fo Fi Fe | ||
|v4 P4 ^4 | |||
| | |vF F ^F | ||
| | |12-14 | ||
|- | |- | ||
! | !tritones | ||
| | |Fa/So Fu/Si | ||
|A4/vd5 ^A4/d5 | |||
| | |F#/vGb ^F#/Gb | ||
| | |15-16 | ||
|- | |- | ||
!5ths | !5ths | ||
| | |Se Sa Su | ||
|v5 P5 ^5 | |||
| | |vG G ^G | ||
| | |17-19 | ||
|- | |- | ||
!6ths | !6ths | ||
| | |Lo Li Le La Lu | ||
|vm6 m6 ~6 M6 ^M6 | |||
|vAb Ab vA A ^A | |||
| | |20-24 | ||
| | |||
| | |||
|- | |- | ||
!7ths | !7ths | ||
| | |To Ti Te Ta Tu | ||
|vm7 m7 ~7 M7 ^M7 | |||
|vBb Bb vB B ^B | |||
| | |25-29 | ||
| | |||
| | |||
|- | |- | ||
!8ves | !8ves | ||
| | |De Da (Du) | ||
|v8 P8 (^8) | |||
| | |vC C (^C) | ||
| | |30-31 (32) | ||
|}'''Da''' Sa Ra La Ma Ta | |}circle of 5ths: '''Da''' Sa Ra La Ma Ta Fa/So Ro Lo Mo To <u>Fo '''De'''</u> Se Re Le Me Te <u>Fe '''Du'''</u> Su Ru Lu Mu Tu Fu/Si Ri Li Mi Ti <u>Fi '''Da'''</u> | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Andrew's solfege | ||
![[ | ![[31edo]] | ||
!edosteps | !edosteps | ||
! | !solfege names | ||
! colspan=" | ! colspan="2" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-1 | ||
| | |Do Di | ||
|P1 ^1 | |||
|C ^C | |||
|- | |- | ||
!2nds | !2nds | ||
| | |2-6 | ||
|Ro Ra Ru Re Ri | |||
| | |vm2 m2 ~2 M2 ^M2 | ||
| | |vDb Db vD D ^D | ||
| | |||
|- | |- | ||
!3rds | !3rds | ||
| | |7-11 | ||
|Ma Me Mu Mi Mo | |||
|Mi Mo | |vm3 m3 ~3 M3 ^M3 | ||
| | |vEb Eb vE E ^E | ||
| | |||
|- | |- | ||
!4ths | !4ths | ||
| | |12-15 | ||
| | |Fe Fa Fu Fi | ||
| | |v4 P4 ^4 A4 | ||
| | |vF F ^F F# | ||
|- | |- | ||
!5ths | !5ths | ||
|19 | |16-19 | ||
| | |Se Su So (or Sol) Si | ||
| | |d5 v5 P5 ^5 | ||
| | |Gb vG G ^G | ||
|- | |- | ||
!6ths | !6ths | ||
| | |20-24 | ||
| | |Lo Le Lu La Li | ||
|vm6 m6 ~6 M6 ^M6 | |||
| | |vAb Ab vA A ^A | ||
| | |||
|- | |- | ||
!7ths | !7ths | ||
| | |25-29 | ||
|Ta Te Tu Ti To | |||
|Ti To | |vm7 m7 ~7 M7 ^M7 | ||
| | |vBb Bb vB B ^B | ||
| | |||
|- | |- | ||
!8ves | !8ves | ||
| | |30-31 (32) | ||
| | |Da Do (Di) | ||
| | |v8 P8 (^8) | ||
| | |vC C (^C) | ||
|} | |} | ||
== 32edo == | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+uniform solfege (-a = plain, -u = up, -o = down, -i = mid) | ||
![[32edo]] | |||
!edosteps | |||
! | ! colspan="2" |solfege names | ||
! | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
! | |- | ||
!unisons | |||
|0-1 | |||
| colspan="2" |Da Du/Fra | |||
| colspan="2" |P1 ^1/m2 | |||
| colspan="2" |C ^C/Db | |||
!4 | |||
! | |||
|- | |- | ||
! | !2nds | ||
| | |1-6 | ||
| | |Du/Fra Fru Fri | ||
|Ra | |Ri Ro Ra | ||
| | |^1/m2 ^m2 v~2 | ||
| | |^~2 vM2 M2 | ||
| | |^C/Db ^Db ^^Db | ||
| | |vvD vD D | ||
| | |- | ||
!3rds | |||
|7-12 | |||
|Na Nu Ni | |||
| | |Mi Mo Ma | ||
| | |m3 ^m3 v~2 | ||
| | |^~3 vM3 M3 | ||
| | |Eb ^Eb ^^Eb | ||
| | |vvE vE E | ||
| | |||
| | |||
|- | |- | ||
! | !4ths | ||
| | |13 | ||
| | | colspan="2" |Fa | ||
| colspan="2" |P4 | |||
| | | colspan="2" |F | ||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !tritones | ||
|14-18 | |||
| colspan="2" |Fu/Sha Fi/Shu Pi/Shi Po/Si Pa/So | |||
| colspan="2" |^4/d5 v~4/^d5 ^~4/v~5 vA4/^~5 A4/v5 | |||
| colspan="2" |^F/Gb ^^F/^Gb vvF#/^^Gb vF#/vvG F#/vG | |||
| | |||
| | |||
|Sha | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !5ths | ||
|19 | |||
| colspan="2" |Sa | |||
| colspan="2" |P5 | |||
! | | colspan="2" |G | ||
|- | |||
!6ths | |||
|20-25 | |||
|Fla Flu Fli | |||
|Li Lo La | |||
|m6 ^m6 v~6 | |||
|^~6 vM6 M6 | |||
|Ab ^Ab ^^Ab | |||
|vvA vA A | |||
|- | |- | ||
| | !7ths | ||
|26-31 | |||
|Tha Thu Thi | |||
|Ti To Ta/Do | |||
|m7 ^m7 v~7 | |||
|^~7 vM7 M7/v8 | |||
|Bb ^Bb ^^Bb | |||
|vvB vB B/vC | |||
|- | |- | ||
! | !8ves | ||
|31-32 (33) | |||
| colspan="2" |Ta/Do Da (Du) | |||
| colspan="2" |M7/v8 P8 (^8) | |||
| colspan="2" |B/vC C (^C) | |||
|}'''Da''' Sa Ra La Ma Ta/'''Do''' Pa/So Ro Lo Mo To Po/Si Ri Li Mi Ti Pi/ShiFri Fli Ni Thi Fi/Shu Fru Flu Nu Thu Fu/Sha '''Du'''/Fra Fla Na Tha Fa '''Da''' | |||
Du and Do aren't necessary, but only one D- note seems too few since all the other degrees have 5 notes. | |||
==33edo== | |||
! | {| class="wikitable center-all" | ||
! | |+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim) | ||
! | ![[33edo]] | ||
! | !edosteps | ||
! colspan="2" |solfege | |||
! | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |||
!unisons | |||
|0-2 | |||
| colspan="2" |Da Du Di/Fre | |||
| colspan="2" |P1 A1 AA1/dd2 | |||
| colspan="2" |C C# Cx | |||
|- | |- | ||
! | !2nds | ||
|2-7 | |||
|Di/Fre Fro Fra | |||
|Ra Ru Ri/Ne | |||
|AA1/dd2 d2 m2 | |||
|M2 A2 AA2/dd3 | |||
|Dbbb Dbb Db | |||
|D D# Dx/Ebbb | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !3rds | ||
| | |7-12 | ||
|Ri/Ne No Na | |||
|Ma Mu Mi/Fe | |||
|AA2/dd3 d3 m3 | |||
|M3 A3 AA3/dd4 | |||
|Dx/Ebbb Ebb Eb | |||
|E E# Ex/Fbb | |||
| | |||
|Mu | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !4ths | ||
|12-15 | |||
| colspan="2" |Mi/Fe Fo Fa Fu/Pa | |||
| colspan="2" |AA3/dd4 d4 P4 A4 | |||
| colspan="2" |Ex/Fbb Fb F F# | |||
| | |||
| | |||
|Fo | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !tritone | ||
| | |16-17 | ||
| | | colspan="2" |Fi/Pu/She Pi/Sho/Se | ||
| | | colspan="2" |AA4/ddd5 AAA4/dd5 | ||
| | | colspan="2" |Fx/Gbbb Fx#/Gbb | ||
| | |- | ||
| | !5ths | ||
| | |18-21 | ||
| | | colspan="2" |Sha/So Sa Su Si/Fle | ||
| colspan="2" |d5 P5 A5 AA5/dd6 | |||
| | | colspan="2" |Gb G G# Gx/Abbb | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !6ths | ||
| | |21-26 | ||
! colspan=" | |Si/Fle Flo Fla | ||
| | |La Lu Li/The | ||
|AA5/dd6 d6 m6 | |||
|M6 A6 AA6/dd7 | |||
|Gx/Abbb Abb Ab | |||
|A A# Ax/Bbbb | |||
|} | |- | ||
== | !7ths | ||
|26-31 | |||
|Li/The Tho Tha | |||
|Ta Tu Ti/De | |||
|AA6/dd7 d7 m7 | |||
|M7 A7 AA7/dd8 | |||
|Ax/Bbbb Bbb Bb | |||
|B B# Bx/Cbb | |||
|- | |||
!8ves | |||
|31-33 (34-35) | |||
| colspan="2" |Ti/De Do Da (Du Di) | |||
| colspan="2" |AA7/dd8 d8 P8 (A8 AA8) | |||
| colspan="2" |Bx/Cbb Cb C (C# Cx) | |||
|}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da''' | |||
==34edo== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = | |+uniform solfege (-a = plain, -u = up, -o = down, -i = mid) in-between notes are bolded | ||
![[ | ![[34edo]] | ||
!edosteps | !edosteps | ||
!solfege names | ! colspan="2" |solfege names | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-2 | |0-'''1''' | ||
|Da Du | | colspan="2" |Da '''Du=Fro''' | ||
|P1 ^1 | | colspan="2" |P1 '''^1=vm2''' | ||
|C ^C | | colspan="2" |C '''^C=vDb''' | ||
|- | |- | ||
!2nds | !2nds | ||
| | |'''1-7''' | ||
| | |'''Fro''' Fra Fru | ||
| | |Ri Ro Ra '''Ru=No''' | ||
|vvD vD D ^D | |'''vm2''' m2 ^m2 | ||
|~2 vM2 M2 '''^M2=vm3''' | |||
|'''vDb''' Db ^Db | |||
|vvD vD D '''^D=vEb''' | |||
|- | |- | ||
!3rds | !3rds | ||
| | |'''7-13''' | ||
| | |'''No''' Na Nu | ||
| | |Mi Mo Ma '''Mu=Fo''' | ||
|vvE vE E ^E | |'''vm3''' m3 ^m3 | ||
|~3 vM3 M3 '''^M3=v4''' | |||
|'''vEb''' Eb ^Eb | |||
|vvE vE E '''^E=vF''' | |||
|- | |- | ||
!4ths | !4ths | ||
|13- | |'''13'''-15 | ||
| | | colspan="2" |'''Fo''' Fa Fu | ||
| | | colspan="2" |'''v4''' P4 ^4 | ||
| | | colspan="2" |'''vF''' F ^F | ||
|- | |||
!tritones | |||
|16-18 | |||
| colspan="2" |Fi/Sha Po/Shu Pa/Si | |||
| colspan="2" |~4/d5 vA4/^d5 A4/~5 | |||
| colspan="2" |^^F/Gb vF#/^Gb F#/vvG | |||
|- | |- | ||
!5ths | !5ths | ||
| | |19-'''21''' | ||
| | | colspan="2" |So Sa '''Su=Flo''' | ||
| | | colspan="2" |v5 P5 '''^5=vm6''' | ||
| | | colspan="2" |vG G '''^G=vAb''' | ||
|- | |- | ||
!6ths | !6ths | ||
| | |'''21-27''' | ||
| | |'''Flo''' Fla Flu | ||
| | |Li Lo La '''Lu=Tho''' | ||
|vvA vA A ^A | |'''vm6''' m6 ^m6 | ||
|~6 vM6 M6 '''^M6=vm7''' | |||
|'''vAb''' Ab ^Ab | |||
|vvA vA A '''^A=vBb''' | |||
|- | |- | ||
!7ths | !7ths | ||
| | |'''27-33''' | ||
| | |'''Tho''' Tha Thu | ||
| | |Ti To Ta '''Tu=Do''' | ||
|vvB vB B ^B | |'''vm7''' m7 ^m7 | ||
|~7 vM7 M7 '''^M7=v8''' | |||
|'''vBb''' Bb ^Bb | |||
|vvB vB B '''^B=vC''' | |||
|- | |- | ||
!8ves | !8ves | ||
|33-35 | |'''33'''-34 (35) | ||
| | | colspan="2" |'''Do''' Da (Du) | ||
| | | colspan="2" |'''v8''' P8 (^8) | ||
| | | colspan="2" |'''vC''' C (^C) | ||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+circles of fifths | ||
! rowspan="5" |plain/mid | |||
! rowspan=" | circle | ||
! | |||
!0 | !0 | ||
!20 | !20 | ||
! | !6 | ||
! | !26 | ||
!12 | |||
!32 | |||
!18 | |||
!4 | |||
!24 | |||
!10 | !10 | ||
!30 | !30 | ||
! | !16 | ||
! | !2 | ||
!22 | |||
!8 | |||
!28 | |||
!14 | |||
!34 | |||
|- | |- | ||
!-a | |||
|Da | |Da | ||
|Sa | |Sa | ||
| Line 6,290: | Line 6,172: | ||
|Ma | |Ma | ||
|Ta | |Ta | ||
| | |Pa | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
!-i | |||
| | |||
| | |||
| | |||
| | |||
| | |||
! | | | ||
| | |||
| | |||
| | |||
| | |||
|Si | |Si | ||
|Ri | |Ri | ||
| Line 6,333: | Line 6,198: | ||
|Ti | |Ti | ||
|Fi | |Fi | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
| colspan=" | !-a | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Sha | |||
|Fra | |||
|Fla | |||
|Na | |||
|Tha | |||
|Fa | |||
|Da | |||
|- | |||
! | |||
! colspan="2" |perfect | |||
! colspan="4" |major | |||
! colspan="6" |mid | |||
! colspan="4" |minor | |||
! colspan="2" |perfect | |||
|- | |- | ||
| colspan="20" | | |||
|- | |- | ||
! rowspan="6" |up/down | |||
circle | |||
! | |||
!17 | |||
! rowspan=" | |||
! | |||
! | |||
!3 | !3 | ||
!23 | !23 | ||
! | !9 | ||
! | !29 | ||
!15 | |||
!1 | |||
!21 | |||
!7 | |||
!27 | |||
!13 | !13 | ||
!33 | !33 | ||
!19 | |||
!5 | |||
!25 | |||
!11 | |||
!31 | |||
!17 | |||
|- | |- | ||
| | !-o | ||
| | |Po | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-u | ||
| | |Shu | ||
| | |Fru | ||
| | |Flu | ||
| | |Nu | ||
|Thu | |||
|Fu | |||
|Du | |||
|Su | |||
|Ru | |||
|Lu | |||
|Mu | |||
|Tu | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-o | ||
| | | | ||
|Fro | | | ||
|Ro | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |Fro | ||
|Flo | |||
|No | |||
|Tho | |||
|Fo | |||
|Do | |||
|So | |||
|Ro | |||
|Lo | |||
|Mo | |||
|To | |||
|Po | |||
|- | |- | ||
! | !-u | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
|Shu | |||
|- | |- | ||
! | ! | ||
| | | | ||
| colspan=" | ! colspan="4" |upminor | ||
| colspan=" | | | ||
| colspan="2" | | ! colspan="6" |in-between | ||
| | |||
! colspan="4" |downmajor | |||
| | |||
|} | |||
==35edo== | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |||
![[35edo]] | |||
!edosteps | |||
!solfege names | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
!5ths | !unisons | ||
| | |0-2 | ||
| | |Da Du Di | ||
| | |P1 ^1 ^^1 | ||
| | |C ^C ^^C | ||
|- | |||
!2nds | |||
|3-7 | |||
|Re Ro Ra Ru Ri | |||
|vv2 v2 P2 ^2 ^^2 | |||
|vvD vD D ^D ^^D | |||
|- | |||
!3rds | |||
|8-12 | |||
|Me Mo Ma Mu Mi | |||
|vv3 v3 P3 ^3 ^^3 | |||
|vvE vE E ^E ^^E | |||
|- | |||
!4ths | |||
|13-17 | |||
|Fe Fo Fa Fu Fi | |||
|vv4 v4 P4 ^4 ^^4 | |||
|vvF vF F ^F ^^F | |||
|- | |||
!5ths | |||
|18-22 | |||
|Se So Sa Su Si | |||
|vv5 v5 P5 ^5 ^^5 | |||
|vvG vG G ^G ^^G | |||
|- | |- | ||
!6ths | !6ths | ||
|23- | |23-27 | ||
|Le Lo La Lu Li | |||
|Lo La Lu | |vv6 v6 P6 ^6 ^^6 | ||
| | |vvA vA A ^A ^^A | ||
|vA A ^A | |||
|- | |- | ||
!7ths | !7ths | ||
| | |28-32 | ||
|Te To Ta Tu Ti | |||
|To Ta Tu | |vv7 v7 P7 ^7 ^^7 | ||
| | |vvB vB B ^B ^^B | ||
|vB B ^B | |||
|- | |- | ||
!8ves | !8ves | ||
|35 | |33-35 (36 37) | ||
| | |De Do Da (Du Di) | ||
| | |vv8 v8 P8 (^8 ^^8) | ||
| | |vvC vC C (^C ^^C) | ||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+'''circles of fifths''' | |+'''circles of fifths''' | ||
! rowspan=" | |- | ||
circle | ! rowspan="2" |plain circle | ||
!0 | !0 | ||
! | !20 | ||
! | !5 | ||
! | !25 | ||
! | !10 | ||
!30 | !30 | ||
!15 | !15 | ||
! | !35 | ||
|- | |- | ||
|Da | |Da | ||
| Line 6,475: | Line 6,420: | ||
|Ma | |Ma | ||
|Ta | |Ta | ||
|Fa | |Fa | ||
|Da | |Da | ||
|- | |- | ||
| colspan=" | | colspan="9" | | ||
|- | |- | ||
! rowspan=" | ! rowspan="2" |up circle | ||
circle | |||
!1 | !1 | ||
! | !21 | ||
! | !6 | ||
! | !26 | ||
! | !11 | ||
!31 | |||
!16 | |||
!31 | |||
!16 | |||
!1 | !1 | ||
|- | |- | ||
| Line 6,521: | Line 6,441: | ||
|Mu | |Mu | ||
|Tu | |Tu | ||
|Fu | |Fu | ||
|Du | |Du | ||
|- | |- | ||
| colspan=" | | colspan="9" | | ||
|- | |- | ||
! rowspan=" | ! rowspan="2" |dup circle | ||
circle | |||
!2 | !2 | ||
! | !22 | ||
! | !7 | ||
!27 | |||
!12 | |||
!32 | |||
!17 | |||
!2 | |||
|- | |||
|Di | |||
|Si | |||
|Ri | |||
|Li | |||
|Mi | |||
|Ti | |||
|Fi | |||
|Di | |||
|- | |||
| colspan="9" | | |||
|- | |||
! rowspan="2" |down circle | |||
!34 | |||
!19 | |||
!4 | |||
!24 | |||
!9 | |||
!29 | !29 | ||
!14 | !14 | ||
! | !34 | ||
|- | |- | ||
|Do | |Do | ||
| Line 6,567: | Line 6,483: | ||
|Mo | |Mo | ||
|To | |To | ||
| | |Fo | ||
|Do | |||
| | |||
|- | |- | ||
| | | colspan="9" | | ||
| | |- | ||
| | ! rowspan="2" |dud circle | ||
!33 | |||
| | !18 | ||
| | !3 | ||
| | !23 | ||
| | !8 | ||
| | !28 | ||
| | !13 | ||
| | !33 | ||
| | |- | ||
| | |De | ||
|Se | |||
|Re | |||
|Le | |||
|Me | |||
|Te | |||
|Fe | |||
|De | |||
|} | |} | ||
==36edo== | |||
== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = plain, -u = up, -o = down | |+uniform solfege (-a = plain, -u = up, -o = down), see also 24edo, 29edo | ||
![[ | ![[36edo]] | ||
!edosteps | !edosteps | ||
! colspan="2" |solfege names | ! colspan="2" |solfege names | ||
| Line 6,599: | Line 6,516: | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-1 | ||
| colspan="2" |Da Du | | colspan="2" |Da Du | ||
| colspan="2" |P1 ^1 | | colspan="2" |P1 ^1 | ||
| colspan="2" |C ^C | | colspan="2" |C ^C | ||
|- | |- | ||
!2nds | !2nds | ||
|2- | |2-7 | ||
| | |Fro Fra Fru | ||
|Ro Ra Ru | |Ro Ra Ru | ||
|^ | |vm2 m2 ^m2 | ||
| | |vM2 M2 ^M2 | ||
|^ | |vDb Db ^Db | ||
|vD D ^D | |vD D ^D | ||
|- | |- | ||
!3rds | !3rds | ||
|8- | |8-13 | ||
| | |No Na Nu | ||
|Mo Ma Mu | |Mo Ma Mu | ||
|^ | |vm3 m3 ^m3 | ||
| | |vM3 M3 ^M3 | ||
|^ | |vEb Eb ^Eb | ||
|vE E ^E | |vE E ^E | ||
|- | |- | ||
!4ths | !4ths | ||
|14- | |14-16 | ||
| colspan="2" | | | colspan="2" |Fo Fa Fu | ||
| colspan="2" | | | colspan="2" |v4 P4 ^4 | ||
| colspan="2" | | | colspan="2" |vF F ^F | ||
|- | |- | ||
!tritones | !tritones | ||
| | |17-19 | ||
| colspan="2" |Pa/ | | colspan="2" |Po/Sho Pa/Sha Pu/Shu | ||
| colspan="2" |A4/ | | colspan="2" |vA4/vd5 A4/d5 ^A4/^d5 | ||
| colspan="2" | | | colspan="2" |vF#/vGb F#/Gb ^F#/^Gb | ||
|- | |- | ||
!5ths | !5ths | ||
| | |20-22 | ||
| colspan="2" |So Sa Su | | colspan="2" |So Sa Su | ||
| colspan="2" | | | colspan="2" |v5 P5 ^5 | ||
| colspan="2" |vG G ^G | | colspan="2" |vG G ^G | ||
|- | |- | ||
!6ths | !6ths | ||
| | |23-28 | ||
| | |Flo Fla Flu | ||
|Lo La Lu | |Lo La Lu | ||
|^ | |vm6 m6 ^m6 | ||
| | |vM6 M6 ^M6 | ||
|^ | |vAb Ab ^Ab | ||
|vA A ^A | |vA A ^A | ||
|- | |- | ||
!7ths | !7ths | ||
| | |29-34 | ||
| | |Tho Tha Thu | ||
|To Ta Tu | |To Ta Tu | ||
|^ | |vm7 m7 ^m7 | ||
| | |vM7 M7 ^M7 | ||
|^ | |vBb Bb ^Bb | ||
|vB B ^B | |vB B ^B | ||
|- | |- | ||
!8ves | !8ves | ||
|36 | |35-36 (37) | ||
| colspan="2" | | | colspan="2" |Do Da (Du) | ||
| colspan="2" | | | colspan="2" |v8 P8 (^8) | ||
| colspan="2" | | | colspan="2" |vC C (^C) | ||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+circles of fifths | |+'''circles of fifths''' | ||
! rowspan=" | ! rowspan="3" |plain | ||
circle | circle | ||
!0 | !0 | ||
! | !21 | ||
!6 | !6 | ||
! | !27 | ||
!12 | !12 | ||
! | !33 | ||
!18 | !18 | ||
! | !3 | ||
!24 | !24 | ||
! | !9 | ||
!30 | !30 | ||
! | !15 | ||
!36 | !36 | ||
|- | |- | ||
|Da | |Da | ||
|Sa | |Sa | ||
| Line 6,708: | Line 6,612: | ||
| | | | ||
| | | | ||
|- | |||
| | | | ||
| | | | ||
| Line 6,714: | Line 6,619: | ||
| | | | ||
| | | | ||
| | |Sha | ||
|Fra | |||
|Fla | |||
|Na | |||
|Tha | |||
|Fa | |||
|Da | |||
|- | |||
| colspan="14" | | |||
|- | |- | ||
! | ! rowspan="3" |up | ||
circle | |||
!1 | |||
!22 | |||
!7 | |||
!28 | |||
!13 | |||
| | !34 | ||
| | !19 | ||
| | !4 | ||
| | !25 | ||
| | !10 | ||
| | !31 | ||
| | !16 | ||
| | !1 | ||
|- | |||
|Du | |||
|Su | |||
|Ru | |||
|Lu | |||
|Mu | |||
|Tu | |||
|Pu | |||
| | | | ||
| | | | ||
| Line 6,738: | Line 6,659: | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| Line 6,745: | Line 6,665: | ||
| | | | ||
| | | | ||
| | |Shu | ||
| | |Fru | ||
| | |Flu | ||
| | |Nu | ||
| | |Thu | ||
| | |Fu | ||
| | |Du | ||
| | |- | ||
| colspan="14" | | |||
|- | |||
! rowspan="3" |down | |||
circle | |||
!35 | |||
!20 | |||
!5 | |||
!26 | |||
!11 | |||
!32 | |||
!17 | |||
!2 | |||
!23 | |||
!8 | |||
!29 | |||
!14 | |||
!35 | |||
|- | |||
|Do | |||
|So | |||
|Ro | |||
|Lo | |||
|Mo | |||
|To | |||
|Po | |||
| | | | ||
| | | | ||
| Line 6,760: | Line 6,705: | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| Line 6,767: | Line 6,711: | ||
| | | | ||
| | | | ||
| | |Sho | ||
| | |Fro | ||
| | |Flo | ||
| | |No | ||
| | |Tho | ||
| | |Fo | ||
| | |Do | ||
| | |} | ||
| | |||
| | == 38edo == | ||
{| class="wikitable center-all" | |||
| | |+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), contains 19edo's solfege, but with u --> i and o --> e | ||
| | ![[38edo]] | ||
| | !edosteps | ||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
! | !unisons | ||
|0-2 | |||
| colspan="2" |Da Du Di/Fre | |||
| colspan="2" |P1 ^1 ^^1/vvm2 | |||
| colspan="2" |C ^C ^^C/vvDb | |||
| colspan=" | |||
|- | |- | ||
! | !2nds | ||
|2-8 | |||
|Di/Fre Fro Fra | |||
|Ro Ra Ru Ri/Ne | |||
|^^1/vvm2 vm2 m2 | |||
|~2 M2 ^M2 ^^M2/vvm3 | |||
|^^C/vvDb vDb Db | |||
|vD D ^D ^^D/vvEb | |||
|- | |- | ||
! | !3rds | ||
| | |8-14 | ||
|Ri/Ne No Na | |||
| | |Mo Ma Mu Mi/Fe | ||
|^^M2/vvm3 vm3 m3 | |||
|Mu | |~3 M3 ^M3 ^^M3/vv4 | ||
| | |^^D/vvEb vEb Eb | ||
|vE E ^E ^^E/vvF | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !4ths | ||
| | |14-17 | ||
| | | colspan="2" |Mi/Fe Fo Fa Fu/Po | ||
| | | colspan="2" |^^M3/vv4 v4 P4 ~4 | ||
| | | colspan="2" |^^E/vvF vF F ^F | ||
| | |- | ||
| | !tritones | ||
| | |18-20 | ||
| | | colspan="2" |Pa/She Pu/Sho Pi/Sha | ||
| colspan="2" |A4/vvd5 ^A4/vd5 ^^A4/d5 | |||
| | | colspan="2" |F#/vvGb ^F#/vGb ^^F#/Gb | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !5ths | ||
| | |21-24 | ||
| | | colspan="2" |So Sa Su Si/Fle | ||
| | | colspan="2" |~5 P5 ^5 ^^5/vvm6 | ||
| | | colspan="2" |vG G ^G ^^G/vvAb | ||
| | |- | ||
| | !6ths | ||
| | |24-30 | ||
| | |Si/Fle Flo Fla | ||
|Lo La Lu Li/The | |||
|^^5/vvm6 vm6 m6 | |||
|~6 M6 ^M6 ^^M6/vvm7 | |||
|^^G/vvAb vAb Ab | |||
|vA A ^A ^^A/vvBb | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !7ths | ||
|30-36 | |||
|Li/The Tho Tha | |||
! | |To Ta Tu Ti/De | ||
|^^M6/vvm7 vm7 m7 | |||
|~7 M7 ^M7 ^^M7/vv8 | |||
|^^A/vvBb vBb Bb | |||
|vB B ^B ^^B/vvC | |||
|} | |- | ||
!8ves | |||
|36-38 | |||
| colspan="2" |Ti/De Do Da (Du Di) | |||
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8) | |||
| colspan="2" |^^B/vvC vC C (^C ^^C) | |||
|} | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+circles of fifths | ||
! | ! rowspan="6" |plain/ | ||
! | dup/ | ||
! | |||
! | dud | ||
! | circle | ||
! | |||
!0 | |||
!22 | |||
!6 | |||
!28 | |||
! | !12 | ||
!34 | |||
!18 | |||
!2 | |||
!24 | |||
!8 | |||
!30 | |||
!14 | |||
!36 | |||
! | !20 | ||
!4 | |||
!26 | |||
!10 | |||
!32 | |||
!16 | |||
!38 | |||
|- | |- | ||
! | !-a | ||
| | |Da | ||
| | |Sa | ||
| | |Ra | ||
| | |La | ||
| | |Ma | ||
|Ta | |||
| | |Pa | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-e | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |She | ||
| | |Fre | ||
| | |Fle | ||
| | |Ne | ||
| | |The | ||
| | |Fe | ||
| | |De | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-i | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
|Di | |||
|Si | |||
|Ri | |||
|Li | |||
|Mi | |||
|Ti | |||
|Pi | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-a | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Sha | |||
| | |Fra | ||
|Fla | |||
|Na | |||
|Tha | |||
|Fa | |||
|Da | |||
|- | |- | ||
! | ! | ||
| | ! colspan="2" |perfect | ||
| colspan=" | ! colspan="4" |major | ||
! colspan="8" |in-between | |||
! colspan="4" |minor | |||
! colspan="2" |perfect | |||
|- | |- | ||
| colspan="22" | | |||
| | |||
| | |||
|- | |- | ||
! | ! rowspan="5" |up/ | ||
down | |||
circle | |||
! | |||
!1 | |||
!23 | |||
!7 | |||
!29 | |||
!13 | |||
!35 | |||
!19 | |||
!3 | |||
!25 | |||
!9 | |||
!31 | |||
!15 | |||
!37 | |||
!21 | |||
!5 | |||
!27 | |||
!11 | |||
!33 | |||
!17 | |||
!1 | |||
|- | |- | ||
! | !-u | ||
| | |Du | ||
| | |Su | ||
| | |Ru | ||
| | |Lu | ||
| | |Mu | ||
|Tu | |||
| | |Pu | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
! | !-o | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | |||
| | |Sho | ||
| | |Fro | ||
| | |Flo | ||
| | |No | ||
| | |Tho | ||
| | |Fo | ||
| | |Do | ||
|So | |||
|Ro | |||
|Lo | |||
|Mo | |||
|To | |||
|Po | |||
| | |||
|- | |- | ||
! | !-u | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
| | | | ||
|- | | | ||
! | | | ||
| | | | ||
| colspan=" | | | ||
| colspan=" | | | ||
| | |||
|} | | | ||
| | |||
| | |||
| | |||
| | |||
|Fu | |||
|Du | |||
|- | |||
! | |||
! colspan="2" |upperfect | |||
! colspan="4" |upmajor | |||
! | |||
! colspan="4" |downminor | |||
! colspan="3" |downperfect | |||
! colspan="4" |mid | |||
! colspan="2" |upperfect | |||
|} | |||
== 39edo == | |||
Could use only 4 vowels by replacing -e with -i. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) in-between notes are bolded | ||
![[ | ![[39edo]] | ||
!edosteps | !edosteps | ||
!solfege names | ! colspan="2" |solfege names | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-1 | |0-'''1''' | ||
| | | colspan="2" |Da '''Du=Fro''' | ||
|P1 ^1 | | colspan="2" |P1 '''^1=vm2''' | ||
|C ^C | | colspan="2" |C '''^C=vDb''' | ||
|- | |- | ||
!2nds | !2nds | ||
| | |'''1-8''' | ||
|Ro | |'''Fro''' Fra Fru Fri | ||
|vm2 m2 ^m2 ~2 vM2 M2 ^M2 | |Re Ro Ra '''Ru=No''' | ||
|vDb Db ^Db vvD vD D ^D | |'''vm2''' m2 ^m2 v~2 | ||
|^~2 vM2 M2 '''^M2=vm3''' | |||
|'''vDb''' Db ^Db ^^Db | |||
|vvD vD D '''^D=vEb''' | |||
|- | |- | ||
!3rds | !3rds | ||
| | |'''8-15''' | ||
|Ma | |'''No''' Na Nu Ni | ||
|vm3 m3 ^m3 ~3 vM3 M3 ^M3 | |Me Mo Ma '''Mu=Fo''' | ||
|vEb Eb ^Eb vvE vE E ^E | |'''vm3''' m3 ^m3 v~3 | ||
|^~3 vM3 M3 '''^M3=v4''' | |||
|'''vEb''' Eb ^Eb ^^Eb | |||
|vvE vE E '''^E=vF''' | |||
|- | |- | ||
!4ths | !4ths | ||
| | |'''15'''-17 | ||
| | | colspan="2" |'''Fo''' Fa Fu | ||
|v4 P4 ^4 ~4 vA4 | | colspan="2" |'''v4''' P4 ^4 | ||
| | | colspan="2" |'''vF''' F ^F | ||
|- | |||
!tritones | |||
|18-21 | |||
| colspan="2" |Fi/Sha Pe/Shu Po/Shi Pa/Se | |||
| colspan="2" |v~4/d5 ^~4/^d5 vA4/v~5 A4/^~5 | |||
| colspan="2" |^^F/Gb vvF#/^Gb vF#/^^Gb F#/vvG | |||
|- | |- | ||
!5ths | !5ths | ||
| | |22-'''24''' | ||
| | | colspan="2" |So Sa '''Su=Flo''' | ||
| | | colspan="2" |v5 P5 '''^5=vm6''' | ||
| | | colspan="2" |vG G ^G='''vAb''' | ||
|- | |- | ||
!6ths | !6ths | ||
| | |'''24-31''' | ||
|Lo | |'''Flo''' Fla Flu Fli | ||
|vm6 m6 ^m6 ~6 vM6 M6 ^M6 | |Le Lo La '''Lu=Tho''' | ||
|vAb Ab ^Ab vvA vA A ^A | |'''vm6''' m6 ^m6 v~6 | ||
|^~6 vM6 M6 '''^M6=vm7''' | |||
|'''vAb''' Ab ^Ab ^^Ab | |||
|vvA vA A '''^A=vBb''' | |||
|- | |- | ||
!7ths | !7ths | ||
| | |'''31-38''' | ||
|Ta | |'''Tho''' Tha Thu Thi | ||
|vm7 m7 ^m7 ~7 vM7 M7 ^M7 | |Te To Ta '''Tu=Do''' | ||
|vBb Bb ^Bb vvB vB B ^B | |'''vm7''' m7 ^m7 v~7 | ||
|^~7 vM7 M7 '''^M7=v8''' | |||
|'''vBb''' Bb ^Bb ^^Bb | |||
|vvB vB B '''^B=vC''' | |||
|- | |- | ||
!8ves | !8ves | ||
| | |'''38'''-39 (40) | ||
|Da | | colspan="2" |'''Do''' Da (Du) | ||
|v8 P8 (^8) | | colspan="2" |'''v8''' P8 (^8) | ||
|vC C (^C) | | colspan="2" |'''vC''' C (^C) | ||
|} | |} | ||
== | '''Da''' Sa Ra La Ma Ta Pa/Se Re Le Me Te Pe/Shu Fru Flu Nu Thu Fu '''Du'''/Fro Su/Flo Ru/No Lu/Tho Mu/Fo Tu/'''Do''' So Ro Lo Mo To Po/Shi Fri Fli Ni Thi Fi/Sha Fra Fla Na Tha Fa '''Da''' | ||
==40edo== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = | |+uniform solfege (-a = major/minor/perfect, -u = aug, -o = dim, -i = double-aug, -e = double-dim) | ||
![[ | ![[40edo]] | ||
!edosteps | !edosteps | ||
! colspan=" | ! colspan="2" |solfege | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-2 | |0-2 | ||
| colspan=" | | colspan="2" |Da Du Di | ||
| colspan=" | | colspan="2" |P1 A1 AA1 | ||
| colspan=" | | colspan="2" |C C# Cx | ||
|- | |- | ||
!2nds | !2nds | ||
| | |3-8 | ||
| | |Fre Fro Fra | ||
| | |Ra Ru Ri | ||
|dd2 d2 m2 | |||
| | |M2 A2 AA2 | ||
| | |Dbbb Dbb Db | ||
|D D# Dx | |||
| | |||
| | |||
|- | |- | ||
!3rds | !3rds | ||
| | |9-14 | ||
| | |Ne No Na | ||
| | |Ma Mu Mi | ||
|dd3 d3 m3 | |||
| | |M3 A3 AA3 | ||
| | |Ebbb Ebb Eb | ||
|E E# Ex | |||
| | |||
| | |||
|- | |- | ||
!4ths | !4ths | ||
|18 | |15-18 | ||
| colspan=" | | colspan="2" |Fe Fo Fa Fu/Pa | ||
| colspan=" | | colspan="2" |dd4 d4 P4 A4 | ||
| colspan=" | | colspan="2" |Fbb Fb F F# | ||
|- | |- | ||
! | !tritone | ||
| | |19-21 | ||
| colspan=" | | colspan="2" |Fi/Pu Pi/She Sho/Se | ||
| colspan=" | | colspan="2" |AA4 AAA4/ddd5 dd5 | ||
| colspan=" | | colspan="2" |Fx Fx#/Gbbb Gbb | ||
|- | |- | ||
!5ths | !5ths | ||
| | |22-25 | ||
| colspan=" | | colspan="2" |Sha/So Sa Su Si | ||
| colspan=" | | colspan="2" |d5 P5 A5 AA5 | ||
| colspan=" | | colspan="2" |Gb G G# Gx | ||
|- | |- | ||
!6ths | !6ths | ||
| | |26-31 | ||
| | |Fle Flo Fla | ||
| | |La Lu Li | ||
|dd6 d6 m6 | |||
| | |M6 A6 AA6 | ||
| | |Abbb Abb Ab | ||
|A A# Ax | |||
| | |||
| | |||
|- | |- | ||
!7ths | !7ths | ||
| | |32-37 | ||
| | |The Tho Tha | ||
| | |Ta Tu Ti | ||
|dd7 d7 m7 | |||
| | |M7 A7 AA7 | ||
| | |Bbbb Bbb Bb | ||
|B B# Bx | |||
| | |||
| | |||
|- | |- | ||
!8ves | !8ves | ||
| | |38-40 (41-42) | ||
| colspan=" | | colspan="2" |De Do Da (Du Di) | ||
| colspan=" | | colspan="2" |dd8 d8 P8 (A8 AA8) | ||
| colspan=" | | colspan="2" |Cbb Cb C (C# Cx) | ||
|} | |}'''Da''' Sa Ra La Ma Ta Pa/Fu '''Du''' Su Ru Lu Mu Tu Pu/Fi '''Di''' Si Ri Li Mi Ti Pi/She Fre Fle Ne The Fe '''De''' Se/Sho Fro Flo No Tho Fo '''Do''' So/Sha Fra Fla Na Tha Fa '''Da''' | ||
==41edo== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+Kite's solfege (-a = plain, -u = up, -o = down, -i = mid), see also 53edo | ||
![[ | ![[41edo]] | ||
!edosteps | !edosteps | ||
! colspan=" | ! colspan="2" |Da Ra Mo names | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-1 | ||
| colspan=" | | colspan="2" |Da Du | ||
| colspan=" | | colspan="2" |P1 ^1 | ||
| colspan=" | | colspan="2" |C ^C | ||
|- | |- | ||
!2nds | !2nds | ||
| | |2-8 | ||
| | |Fro Fra Fru | ||
| | |Ri Ro Ra Ru | ||
|vm2 m2 ^m2 | |||
| | |~2 vM2 M2 ^M2 | ||
|~2 | |vDb Db ^Db | ||
|vvD vD D ^D | |||
| | |||
| | |||
|- | |- | ||
!3rds | !3rds | ||
| | |9-15 | ||
| | |No Na Nu | ||
| | |Mi Mo Ma Mu | ||
|vm3 m3 ^m3 | |||
| | |~3 vM3 M3 ^M3 | ||
|~3 | |vEb Eb ^Eb | ||
|vvE vE E ^E | |||
| | |||
| | |||
|- | |- | ||
!4ths | !4ths | ||
| | |16-18 | ||
| colspan=" | | colspan="2" |Fo Fa Fu | ||
| colspan=" | | colspan="2" |v4 P4 ^4 | ||
| colspan=" | | colspan="2" |vF F ^F | ||
|- | |- | ||
!tritones | !tritones | ||
| | |19-22 | ||
| colspan=" | | colspan="2" |Fi/Sho Po/Sha Pa/Shu Pu/Si | ||
| colspan=" | | colspan="2" |~4/vd5 vA4/d5 A4/^d5 ^A4/~5 | ||
| colspan=" | | colspan="2" |^^F/vGb vF#/Gb F#/^Gb ^F#/vvG | ||
|- | |- | ||
!5ths | !5ths | ||
| | |23-25 | ||
| colspan=" | | colspan="2" |So Sa Su | ||
| colspan=" | | colspan="2" |v5 P5 ^5 | ||
| colspan=" | | colspan="2" |vG G ^G | ||
|- | |- | ||
!6ths | !6ths | ||
| | |26-32 | ||
| | |Flo Fla Flu | ||
| | |Li Lo La Lu | ||
|vm6 m6 ^m6 | |||
| | |~6 vM6 M6 ^M6 | ||
|~6 | |vAb Ab ^Ab | ||
|vvA vA A ^A | |||
| | |||
| | |||
|- | |- | ||
!7ths | !7ths | ||
| | |33-39 | ||
| | |Tho Tha Thu | ||
| | |Ti To Ta Tu | ||
|vm7 m7 ^m7 | |||
| | |~7 vM7 M7 ^M7 | ||
|~7 | |vBb Bb ^Bb | ||
|vvB vB B ^B | |||
| | |||
| | |||
|- | |- | ||
!8ves | !8ves | ||
| | |40-41 (42) | ||
| colspan=" | | colspan="2" |Do Da (Du) | ||
| colspan=" | | colspan="2" |v8 P8 (^8) | ||
| colspan=" | | colspan="2" |vC C (^C) | ||
|} | |}'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si Ri Li Mi Ti Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da''' | ||
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shu | |||
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Si | |||
* <u>mid</u>: Si Ri Li Mi Ti Fi/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+' | |+Andrew's solfege | ||
! | ![[41edo]] | ||
!edosteps | |||
! | !solfege names | ||
! | ! colspan="2" |[[Ups and downs notation|ups and downs]] names | ||
! | |- | ||
!unisons | |||
! | |0-1 | ||
|Do Di | |||
|P1 ^1 | |||
|C ^C | |||
|- | |- | ||
!2nds | |||
| | |2-8 | ||
|Ra | |Ro Rih Ra Ru Reh Re Ri | ||
| | |vm2 m2 ^m2 ~2 vM2 M2 ^M2 | ||
|vDb Db ^Db vvD vD D ^D | |||
| | |||
|- | |- | ||
!3rds | |||
|9-15 | |||
|Ma Meh Me Mu Mi Maa Mo | |||
|vm3 m3 ^m3 ~3 vM3 M3 ^M3 | |||
|vEb Eb ^Eb vvE vE E ^E | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
| | !4ths | ||
|16-20 | |||
|Fe Fa Fih Fu Fi | |||
|v4 P4 ^4 ~4 vA4 | |||
|vF F ^F ^^F vF# | |||
|- | |- | ||
! | !5ths | ||
|21-25 | |||
|Se Su Sih So (or Sol) Si | |||
|^d5 ~5 v5 P5 ^5 | |||
|^Gb vvG vG G ^G | |||
|- | |- | ||
!6ths | |||
| | |26-32 | ||
|Lo Leh Le Lu La Laa Li | |||
|Lu | |vm6 m6 ^m6 ~6 vM6 M6 ^M6 | ||
| | |vAb Ab ^Ab vvA vA A ^A | ||
| | |||
|- | |- | ||
!7ths | |||
|33-39 | |||
|Ta Teh Te Tu Ti Taa To | |||
|vm7 m7 ^m7 ~7 vM7 M7 ^M7 | |||
|vBb Bb ^Bb vvB vB B ^B | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
| colspan=" | !8ves | ||
|40-41 (42) | |||
|Da Do (Di) | |||
|v8 P8 (^8) | |||
|vC C (^C) | |||
|} | |||
== 43edo == | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), in-betweener's duplicate names are bolded | |||
![[43edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
! | !unisons | ||
|0-'''2''' | |||
| colspan="2" |Da Du '''Di=Fre''' | |||
| colspan="2" |P1 ^1 ^^1 | |||
| colspan="2" |C ^C ^^C | |||
|- | |- | ||
| | !2nds | ||
| | |'''2-9''' | ||
|Ro | |'''Fre''' Fro Fra Fru | ||
| | |Ro Ra Ru '''Ri=Ne''' | ||
| | |vvm2 vm2 m2 ^m2 | ||
| | |vM2 M2 ^M2 ^^M2 | ||
| | |vvDb vDb Db ^Db | ||
| | |vD D ^D ^^D | ||
| | |- | ||
| | !3rds | ||
| | |'''9-16''' | ||
| | |'''Ne''' No Na Nu | ||
| | |Mo Ma Mu '''Mi=Fe''' | ||
|vvm3 vm3 m3 ^m3 | |||
|vM3 M3 ^M3 ^^M3 | |||
|vvEb vEb Eb ^Eb | |||
|vE E ^E ^^E | |||
|- | |- | ||
!4ths | |||
| | |'''16'''-19 | ||
| | | colspan="2" |'''Fe''' Fo Fa Fu | ||
| | | colspan="2" |vv4 v4 P4 ^4 | ||
| | | colspan="2" |vvF vF F ^F | ||
| | |||
| | |||
| | |||
|- | |- | ||
| colspan=" | !tritones | ||
|20-23 | |||
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu | |||
| colspan="2" |vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5 | |||
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb | |||
|- | |- | ||
! | !5ths | ||
|24-'''27''' | |||
| colspan="2" |So Sa Su '''Si=Fle''' | |||
| colspan="2" |v5 P5 ^5 ^^5 | |||
| colspan="2" |vG G ^G ^^G | |||
|- | |- | ||
!6ths | |||
| | |'''27-34''' | ||
| | |'''Fle''' Flo Fla Flu | ||
|Li | |Lo La Lu '''Li=The''' | ||
| | |vvm6 vm6 m6 ^m6 | ||
|vM6 M6 ^M6 ^^M6 | |||
|vvAb vAb Ab ^Ab | |||
|vA A ^A ^^A | |||
| | |||
| | |||
| | |||
|- | |- | ||
!7ths | |||
|'''34-41''' | |||
|'''The''' Tho Tha Thu | |||
|To Ta Tu '''Ti=De''' | |||
|vvm7 vm7 m7 ^m7 | |||
|vM7 M7 ^M7 ^^M7 | |||
| | |vvBb vBb Bb ^Bb | ||
| | |vB B ^B ^^B | ||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |- | ||
| | !8ves | ||
| | |'''41'''-43 | ||
| | | colspan="2" |'''De''' Do Da (Du Di) | ||
| | | colspan="2" |vv8 v8 P8 (^8 ^^8) | ||
|Fe | | colspan="2" |vvC vC C (^C ^^C) | ||
|}'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da''' | |||
| | |||
| | * <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Sho | ||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She | |||
* <u>dup/dud/inbetween</u>: She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Shu | |||
| | * <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha | ||
| | * <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | ||
| | |||
== 45edo == | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = aug, -e = dud = dim) | |||
![[45edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |- | ||
| | !unisons | ||
| | |0-2 | ||
| | | colspan="2" |Da Du Di | ||
| | | colspan="2" |P1 ^1 A1 | ||
| | | colspan="2" |C ^C C# | ||
| | |- | ||
| | !2nds | ||
| | |3-9 | ||
| | |Fre Fro Fra | ||
| | |Ro Ra Ru Ri | ||
| | |d2 vm2 m2 | ||
|She | |~2 M2 ^M2 A2 | ||
|De | |Dbb vDb Db | ||
|vD D ^D D# | |||
|- | |||
!3rds | |||
|10-16 | |||
|Ne No Na | |||
|Mo Ma Mu Mi | |||
|d3 vm3 m3 | |||
|~3 M3 ^M3 A3 | |||
|Ebb vEb Eb | |||
|vE E ^E E# | |||
|- | |||
!4ths | |||
|17-20 | |||
| colspan="2" |Fe Fo Fa Fu/Po | |||
| colspan="2" |d4 v4 P4 ~4 | |||
| colspan="2" |Fb vF F ^F | |||
|- | |||
!tritones | |||
|21-24 | |||
| colspan="2" |Fi/Pa Pu/She Pi/Sho Sha/Se | |||
| colspan="2" |A4 ^A4/dd5 AA4/vd5 d5 | |||
| colspan="2" |F# ^F#/Gbb Fx/vGb Gb | |||
|- | |||
!5ths | |||
|25-28 | |||
| colspan="2" |So Sa Su Si | |||
| colspan="2" |~5 P5 ^5 A5 | |||
| colspan="2" |vG G ^G G# | |||
|- | |||
!6ths | |||
|29-35 | |||
|Fle Flo Fla | |||
|Lo La Lu Li | |||
|d6 vm6 m6 | |||
|~6 M6 ^M6 A6 | |||
|Abb vAb Ab | |||
|vA A ^A A# | |||
|- | |||
!7ths | |||
|36-42 | |||
|The Tho Tha | |||
|To Ta Tu Ti | |||
|d7 vm7 m7 | |||
|^~7 M7 ^M7 A7 | |||
|Bbb vBb Bb | |||
|vB B ^B B# | |||
|- | |||
!8ves | |||
|43-45 (46 47) | |||
| colspan="2" |De Do Da (Du Di) | |||
| colspan="2" |d8 v8 P8 (^8 A8) | |||
| colspan="2" |Cb vC C (^C C#) | |||
|} | |} | ||
'''Da''' Sa Ra La Ma Ta Pa/Fi '''Di''' Si Ri Li Mi Ti Pi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu '''Du''' Su Ru Lu Mu Tu Pu/She Fre Fle Ne The Fe '''De''' Se/Sha Fra Fla Na Tha Fa '''Da''' | |||
== | * <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Fi | ||
* <u>dup/aug</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fu | |||
* <u>up</u>: Fu '''Du''' Su Ru Lu Mu Tu Pu/She | |||
* <u>dud/dim</u>: She Fre Fle Ne The Fe '''De''' Se/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
== 46edo == | |||
Could use only 4 vowels by replacing -e with -i. | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |+uniform solfege (-a = plain, -u = up, -o = down, -i = dup = downmid, -e = dud = upmid) | ||
![[ | ![[46edo]] | ||
!edosteps | !edosteps | ||
! colspan="2" |solfege names | ! colspan="2" |solfege names | ||
! colspan=" | ! colspan="4" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0- | |0-1 | ||
| colspan="2" |Da Du | | colspan="2" |Da Du | ||
| colspan="2" |P1 ^1 ^ | | colspan="2" |P1 ^1 | ||
| colspan="2" |C ^C | |||
|- | |- | ||
!2nds | !2nds | ||
|2- | |2-9 | ||
| | |Fro Fra Fru Fri | ||
|Re Ro Ra Ru | |Re Ro Ra Ru | ||
| | |vm2 m2 ^m2 v~2 | ||
|^~2 vM2 M2 ^M2 ^^ | |^~2 vM2 M2 ^M2 | ||
|vDb Db ^Db ^^Db | |||
|vvD vD D ^D | |||
|- | |- | ||
!3rds | !3rds | ||
| | |10-17 | ||
| | |No Na Nu Ni | ||
|Me Mo Ma Mu | |Me Mo Ma Mu | ||
| | |vm3 m3 ^m3 v~3 | ||
|^~3 vM3 M3 ^M3 ^^ | |^~3 vM3 M3 ^M3 | ||
|vEb Eb ^Eb ^^Eb | |||
|vvE vE E ^E | |||
|- | |- | ||
!4ths | !4ths | ||
|20 | |18-20 | ||
| colspan="2" | | | colspan="2" |Fo Fa Fu | ||
| colspan="2" | | | colspan="2" |v4 P4 ^4 | ||
| colspan="2" |vF F ^F | |||
|- | |- | ||
!tritones | !tritones | ||
| | |21-25 | ||
| colspan="2" |Fi/ | | colspan="2" |Fi/Sho Pe/Sha Po/Shu Pa/Shi Pu/Se | ||
| colspan="2" |v~4/ | | colspan="2" |v~4/vd5 ^~4/d5 vA4/^d5 A4/v~5 ^A4/^~5 | ||
| colspan="2" |^^F/vGb vvF#/Gb vF#/^Gb F#/^^Gb ^F#/vvG | |||
|- | |- | ||
!5ths | !5ths | ||
| | |26-28 | ||
| 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 | ||
| | |29-36 | ||
| | |Flo Fla Flu Fli | ||
|Le Lo La Lu | |Le Lo La Lu | ||
| | |vm6 m6 ^m6 v~6 | ||
|^~6 vM6 M6 ^M6 ^^ | |^~6 vM6 M6 ^M6 | ||
|vAb Ab ^Ab ^^Ab | |||
|vvA vA A ^A | |||
|- | |- | ||
!7ths | !7ths | ||
| | |37-44 | ||
| | |Tho Tha Thu Thi | ||
|Te To Ta Tu | |Te To Ta Tu | ||
| | |vm7 m7 ^m7 v~7 | ||
|^~7 vM7 M7 ^M7 ^^ | |^~7 vM7 M7 ^M7 | ||
|vBb Bb ^Bb ^^Bb | |||
|vvB vB B ^B | |||
|- | |- | ||
!8ves | !8ves | ||
| | |45-46 (47) | ||
| colspan="2" | | | colspan="2" |Do Da (Du) | ||
| colspan="2" | | | colspan="2" |v8 P8 (^8) | ||
| colspan="2" |vC C (^C) | |||
|} | |} | ||
'''Da''' Sa Ra La Ma Ta Pa/Shi Fri Fli Ni Thi Fi/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Se Re Le Me Te Pe/Sha Fra Fla Na Tha Fa '''Da''' | |||
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shi | |||
* <u>dup/downmid</u>: Shi Fri Fli Ni Thi Fi/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Shu | |||
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Se | |||
* <u>dud/upmid</u>: Se Re Le Me Te Pe/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
==48edo== | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | ||
![[ | ![[48edo]] | ||
!edosteps | !edosteps | ||
!solfege names | ! colspan="3" |solfege names | ||
![[Ups and downs notation|ups and downs]] names | ! colspan="6" |[[Ups and downs notation|ups and downs]] names | ||
|- | |- | ||
!unisons | !unisons | ||
|0-2 | |0-2 | ||
| | | colspan="3" |Da Du Di/Fre | ||
|P1 ^1 ^^1 | | colspan="3" |P1 ^1 ^^1/vvm2 | ||
| colspan="3" |C ^C ^^C/vvDb | |||
|- | |- | ||
!2nds | !2nds | ||
| | |2-10 | ||
|Ro | |Di/Fre Fro Fra Fru | ||
|vm2 m2 ^m2 | |Fri/Re | ||
|Ro Ra Ru Ri/Ne | |||
|^^1/vvm2 vm2 m2 ^m2 | |||
|~2 | |||
|vM2 M2 ^M2 ^^M2/vvm3 | |||
|^^C/vvDb vDb Db ^Db | |||
|^^Db/vvD | |||
|vD D ^D ^^D/vvEb | |||
|- | |- | ||
!3rds | !3rds | ||
| | |10-18 | ||
|Ma | |Ri/Ne No Na Nu | ||
|vm3 m3 ^m3 | |Ni/Me | ||
|Mo Ma Mu Mi/Fe | |||
|^^M2/vvm3 vm3 m3 ^m3 | |||
|~3 | |||
|vM3 M3 ^M3 ^^M3/vv4 | |||
|^^D/vvEb vEb Eb ^Eb | |||
|^^Eb/vvE | |||
|vE E ^E ^^E/vvF | |||
|- | |- | ||
!4ths | !4ths | ||
|21 | |18-21 | ||
|Fe Fa | | colspan="3" |Mi/Fe Fo Fa Fu | ||
|v4 P4 ^4 | | colspan="3" |^^M3/vv4 v4 P4 ^4 | ||
| colspan="3" |^^E/vvF vF F ^F | |||
|- | |||
!tritones | |||
|22-26 | |||
| colspan="3" |Fi/Pe/She Po/Sho Pa/Sha Pu/Shu Pi/Shi/Se | |||
| colspan="3" |^^4/vvA4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/^^d5/vv5 | |||
| colspan="3" |^^F/vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb/vvG | |||
|- | |- | ||
!5ths | !5ths | ||
|27- | |27-30 | ||
| | | colspan="3" |So Sa Su Si/Fle | ||
|^ | | colspan="3" |v5 P5 ^5 ^^5/vvm6 | ||
| colspan="3" |vG G ^G ^^G/vvAb | |||
|- | |- | ||
!6ths | !6ths | ||
| | |30-38 | ||
|Lo | |Si/Fle Flo Fla Flu | ||
|vm6 m6 ^m6 | |Fli/Le | ||
|Lo La Lu Li/The | |||
|^^5/vvm6 vm6 m6 ^m6 | |||
|~6 | |||
|vM6 M6 ^M6 ^^M6/vvm7 | |||
|^^G/vvAb vAb Ab ^Ab | |||
|^^Ab/vvA | |||
|vA A ^A ^^A/vvBb | |||
|- | |- | ||
!7ths | !7ths | ||
| | |38-46 | ||
|Ta | |Li/The Tho Tha Thu | ||
|vm7 m7 ^m7 | |Thi/Te | ||
|To Ta Tu Ti/De | |||
|^^M6/vvm7 vm7 m7 ^m7 | |||
|~7 | |||
|vM7 M7 ^M7 ^^M7/vv8 | |||
|^^A/vvBb vBb Bb ^Bb | |||
|^^Bb/vvB | |||
|vB B ^B ^^B/vvC | |||
|- | |- | ||
!8ves | !8ves | ||
| | |46-48 | ||
|Da | | colspan="3" |Ti/De Do Da (Du Di) | ||
|v8 P8 (^8 ^^8) | | colspan="3" |^^M7/vv8 v8 P8 (^8 ^^8) | ||
| colspan="3" |^^B/vvC vC C (^C ^^C) | |||
|} | |} | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), | |+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud), inbetween names are bolded | ||
![[48edo]] | |||
!edosteps | |||
! colspan="3" |solfege names | |||
! colspan="6" |[[Ups and downs notation|ups and downs]] names | |||
|- | |||
!unisons | |||
|0-'''2''' | |||
| colspan="3" |Da Du '''Di=Fre''' | |||
| colspan="3" |P1 ^1 ^^1 | |||
| colspan="3" |C ^C ^^C | |||
|- | |||
!2nds | |||
|'''2-10''' | |||
|'''Fre''' Fro Fra Fru | |||
|Fri/Re | |||
|Ro Ra Ru '''Ri=Ne''' | |||
|vvm2 vm2 m2 ^m2 | |||
|~2 | |||
|vM2 M2 ^M2 ^^M2 | |||
|vvDb vDb Db ^Db | |||
|^^Db/vvD | |||
|vD D ^D ^^D | |||
|- | |||
!3rds | |||
|'''10-18''' | |||
|'''Ne''' No Na Nu | |||
|Ni/Me | |||
|Mo Ma Mu '''Mi=Fe''' | |||
|vvm3 vm3 m3 ^m3 | |||
|~3 | |||
|vM3 M3 ^M3 ^^M3 | |||
|vvEb vEb Eb ^Eb | |||
|^^Eb/vvE | |||
|vE E ^E ^^E | |||
|- | |||
!4ths | |||
|'''18-22''' | |||
| colspan="3" |'''Fe''' Fo Fa Fu '''Fi=Pe/She''' | |||
| colspan="3" |vv4 v4 P4 ^4 ~4 | |||
| colspan="3" |vvF vF F ^F ^^F | |||
|- | |||
!tritones | |||
|'''22-26''' | |||
| colspan="3" |'''Pe/She''' Po/Sho Pa/Sha Pu/Shu '''Pi/Shi=Se''' | |||
| colspan="3" |~4/vvd5 vA4/vd5 A4/d5 ^A4/^d5 ^^A4/~5 | |||
| colspan="3" |vvF#/vvGb vF#/vGb F#/Gb ^F#/^Gb ^^F#/^^Gb | |||
|- | |||
!5ths | |||
|'''26-30''' | |||
| colspan="3" |'''Se''' So Sa Su '''Si=Fle''' | |||
| colspan="3" |~5 v5 P5 ^5 ^^5 | |||
| colspan="3" |vvG vG G ^G ^^G | |||
|- | |||
!6ths | |||
|'''30-38''' | |||
|'''Fle''' Flo Fla Flu | |||
|Fli/Le | |||
|Lo La Lu '''Li=The''' | |||
|vvm6 vm6 m6 ^m6 | |||
|~6 | |||
|vM6 M6 ^M6 ^^M6 | |||
|vvAb vAb Ab ^Ab | |||
|^^Ab/vvA | |||
|vA A ^A ^^A | |||
|- | |||
!7ths | |||
|'''38-46''' | |||
|'''The''' Tho Tha Thu | |||
|Thi/Te | |||
|To Ta Tu '''Ti=De''' | |||
|vvm7 vm7 m7 ^m7 | |||
|~7 | |||
|vM7 M7 ^M7 ^^M7 | |||
|vvBb vBb Bb ^Bb | |||
|^^Bb/vvB | |||
|vB B ^B ^^B | |||
|- | |||
!8ves | |||
|'''46'''-48 | |||
| colspan="3" |'''De''' Do Da (Du Di) | |||
| colspan="3" |vv8 v8 P8 (^8 ^^8) | |||
| colspan="3" |vvC vC C (^C ^^C) | |||
|}Fri/Ni/Fli/Thi are included to make the -i circle complete, so that one can do interval arithmetic within it. | |||
{| class="wikitable center-all" | |||
|+'''circles of fifths''' | |||
! rowspan="3" |plain | |||
circle | |||
!0 | |||
!28 | |||
!8 | |||
!36 | |||
!16 | |||
!44 | |||
!24 | |||
!4 | |||
!32 | |||
!12 | |||
!40 | |||
!20 | |||
!48 | |||
|- | |||
|Da | |||
|Sa | |||
|Ra | |||
|La | |||
|Ma | |||
|Ta | |||
|Pa | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Sha | |||
|Fra | |||
|Fla | |||
|Na | |||
|Tha | |||
|Fa | |||
|Da | |||
|- | |||
| colspan="14" | | |||
|- | |||
! rowspan="3" |up | |||
circle | |||
!1 | |||
!29 | |||
!9 | |||
!37 | |||
!17 | |||
!45 | |||
!25 | |||
!5 | |||
!33 | |||
!13 | |||
!41 | |||
!21 | |||
!1 | |||
|- | |||
|Du | |||
|Su | |||
|Ru | |||
|Lu | |||
|Mu | |||
|Tu | |||
|Pu | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Shu | |||
|Fru | |||
|Flu | |||
|Nu | |||
|Thu | |||
|Fu | |||
|Du | |||
|- | |||
| colspan="14" | | |||
|- | |||
! rowspan="3" |down | |||
circle | |||
!47 | |||
!27 | |||
!7 | |||
!35 | |||
!15 | |||
!43 | |||
!23 | |||
!3 | |||
!31 | |||
!11 | |||
!39 | |||
!19 | |||
!47 | |||
|- | |||
|Do | |||
|So | |||
|Ro | |||
|Lo | |||
|Mo | |||
|To | |||
|Po | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Sho | |||
|Fro | |||
|Flo | |||
|No | |||
|Tho | |||
|Fo | |||
|Do | |||
|- | |||
| colspan="14" | | |||
|- | |||
! rowspan="5" |mid / | |||
inbetween | |||
circle | |||
!2 | |||
!30 | |||
!10 | |||
!38 | |||
!18 | |||
!46 | |||
!26 | |||
!6 | |||
!34 | |||
!14 | |||
!42 | |||
!22 | |||
!2 | |||
|- | |||
|Di | |||
|Si | |||
|Ri | |||
|Li | |||
|Mi | |||
|Ti | |||
|Pi | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|Shi | |||
|Fri | |||
|Fli | |||
|Ni | |||
|Thi | |||
|Fi | |||
|Di | |||
|- | |||
|Fre | |||
|Fle | |||
|Ne | |||
|The | |||
|Fe | |||
|De | |||
|Se | |||
|Re | |||
|Le | |||
|Me | |||
|Te | |||
|Pe | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|She | |||
|Fre | |||
|- | |||
! | |||
! colspan="6" |in-between | |||
! colspan="6" |mid | |||
| | |||
|} | |||
== 50edo == | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |||
![[50edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |||
!unisons | |||
|0-2 | |||
| colspan="2" |Da Du Di | |||
| colspan="2" |P1 ^1 ^^1 | |||
| colspan="2" |C ^C ^^C | |||
|- | |||
!2nds | |||
|3-10 | |||
|Fre Fro Fra Fru | |||
|Ro Ra Ru Ri | |||
|vvm2 vm2 m2 ^m2 | |||
|vM2 M2 ^M2 ^^M2 | |||
|vvDb vDb Db ^Db | |||
|vD D ^D ^^D | |||
|- | |||
!3rds | |||
|11-18 | |||
|Ne No Na Nu | |||
|Mo Ma Mu Mi | |||
|vvm3 vm3 m3 ^m3 | |||
|vM3 M3 ^M3 ^^M3 | |||
|vvEb vEb Eb ^Eb | |||
|vE E ^E ^^E | |||
|- | |||
!4ths | |||
|19-22 | |||
| colspan="2" |Fe Fo Fa Fu | |||
| colspan="2" |vv4 v4 P4 ^4 | |||
| colspan="2" |vvF vF F ^F | |||
|- | |||
!tritones | |||
|23-27 | |||
| colspan="2" |Fi/Po Pa/She Pu/Sho Pi/Sha Shu/Se | |||
| colspan="2" |^^4/vA4 A4/vvd5 ^A4/vd5 ^^A4/d5 ^d5/vv5 | |||
| colspan="2" |^^F/vF# F#/vvGb ^F#/vGb ^^F#/Gb ^Gb/vvG | |||
|- | |||
!5ths | |||
|28-31 | |||
| colspan="2" |So Sa Su Si | |||
| colspan="2" |v5 P5 ^5 ^^5 | |||
| colspan="2" |vG G ^G ^^G | |||
|- | |||
!6ths | |||
|32-39 | |||
|Fle Flo Fla Flu | |||
|Lo La Lu Li | |||
|vvm6 vm6 m6 ^m6 | |||
|vM6 M6 ^M6 ^^M6 | |||
|vvAb vAb Ab ^Ab | |||
|vA A ^A ^^A | |||
|- | |||
!7ths | |||
|40-47 | |||
|The Tho Tha Thu | |||
|To Ta Tu Ti | |||
|vvm7 vm7 m7 ^m7 | |||
|vM7 M7 ^M7 ^^M7 | |||
|vvBb vBb Bb ^Bb | |||
|vB B ^B ^^B | |||
|- | |||
!8ves | |||
|48-50 | |||
| colspan="2" |De Do Da (Du Di) | |||
| colspan="2" |vv8 v8 P8 (^8 ^^8) | |||
| colspan="2" |vvC vC C (^C ^^C) | |||
|} | |||
'''Da''' Sa Ra La Ma Ta Pa/She Fre Fle Ne The Fe '''De''' Se/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi Di Si Ri Li Mi Ti Pi/Sha Fra Fla Na Tha Fa '''Da''' | |||
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/She | |||
* <u>dud</u>: She Fre Fle Ne The Fe '''De''' Se/Shu | |||
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Fi | |||
* <u>dup</u>: Fi Di Si Ri Li Mi Ti Pi/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
== 53edo == | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |||
![[53edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="2" |[[Ups and downs notation|ups and downs]] names | |||
|- | |||
!unisons | |||
|0-2 | |||
| colspan="2" |Da Du Di/Fre | |||
| colspan="2" |P1 ^1 ^^1/vvm2 | |||
|- | |||
!2nds | |||
|2-11 | |||
|Di/Fre Fro Fra Fru Fri | |||
|Re Ro Ra Ru Ri/Ne | |||
|^^1/vvm2 vm2 m2 ^m2 v~2 | |||
|^~2 vM2 M2 ^M2 ^^M2/vvm3 | |||
|- | |||
!3rds | |||
|11-20 | |||
|Ri/Ne No Na Nu Ni | |||
|Me Mo Ma Mu Mi/Fe | |||
|^^M2/vvm3 vm3 m3 ^m3 v~3 | |||
|^~3 vM3 M3 ^M3 ^^M3/vv4 | |||
|- | |||
!4ths | |||
|20-23 | |||
| colspan="2" |Mi/Fe Fo Fa Fu | |||
| colspan="2" |^^M3/vv4 v4 P4 ^4 | |||
|- | |||
!tritones | |||
|24-29 | |||
| colspan="2" |Fi/She Pe/Sho Po/Sha Pa/Shu Pu/Shi Pi/Se | |||
| colspan="2" |v~4/vvd5 ^~4/vd5 vA4/d5 A4/^d5 ^A4/v~5 ^^A4/^~5 | |||
|- | |||
!5ths | |||
|30-33 | |||
| colspan="2" |So Sa Su Si/Fle | |||
| colspan="2" |v5 P5 ^5 ^^5/vvm6 | |||
|- | |||
!6ths | |||
|33-42 | |||
|Si/Fle Flo Fla Flu Fli | |||
|Le Lo La Lu Li/The | |||
|^^5/vvm6 vm6 m6 ^m6 v~6 | |||
|^~6 vM6 M6 ^M6 ^^M6/vvm7 | |||
|- | |||
!7ths | |||
|42-51 | |||
|Li/The Tho Tha Thu Thi | |||
|Te To Ta Tu Ti/De | |||
|^^M6/vvm7 vm7 m7 ^m7 v~7 | |||
|^~7 vM7 M7 ^M7 ^^M7/vv8 | |||
|- | |||
!8ves | |||
|51-53 (54 55) | |||
| colspan="2" |Ti/De Do Da (Du Di) | |||
| colspan="2" |^^M7/vv8 v8 P8 (^8 ^^8) | |||
|} | |||
'''Da''' Sa Ra La Ma Ta Pa/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se Re Le Me Te Pe/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha Fra Fla Na Tha Fa '''Da''' | |||
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Shu | |||
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Shi | |||
* <u>dup/dud</u>: Shi Fri Fli Ni Thi Fi/She '''Di'''/Fre Si/Fle Ri/Ne Li/The Mi/Fe Ti/'''De''' Pi/Se | |||
* <u>dud</u>: Se Re Le Me Te Pe/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
{| class="wikitable center-all" | |||
|+Phylingual's solfege | |||
![[53edo]] | |||
!edosteps | |||
!solfege names | |||
![[Ups and downs notation|ups and downs]] names | |||
|- | |||
!unisons | |||
|0-2 | |||
|Do Di Daw | |||
|P1 ^1 ^^1 | |||
|- | |||
!2nds | |||
|3-11 | |||
|Ro Rih Ra Ru Ruh Reh Re Ri Raw | |||
|vm2 m2 ^m2 v~2 ^~2 vM2 M2 ^M2 ^^M2 | |||
|- | |||
!3rds | |||
|12-20 | |||
|Ma Meh Me Mu Muh Mi Maa Mo Maw | |||
|vm3 m3 ^m3 v~3 ^~3 vM3 M3 ^M3 ^^M3 | |||
|- | |||
!4ths | |||
|21-26 | |||
|Fe Fa Fih Fu Fuh Fi | |||
|v4 P4 ^4 v~4 ^~4 vA4 | |||
|- | |||
!5ths | |||
|27-33 | |||
|Se Suh Su Sih So (or Sol) Si Saw | |||
|^d5 v~5 ^~5 v5 P5 ^5 ^^5 | |||
|- | |||
!6ths | |||
|34-42 | |||
|Lo Leh Le Lu Luh La Laa Li Law | |||
|vm6 m6 ^m6 v~6 ^~6 vM6 M6 ^M6 ^^M6 | |||
|- | |||
!7ths | |||
|43-51 | |||
|Ta Teh Te Tu Tuh Ti Tih To Taw | |||
|vm7 m7 ^m7 v~7 ^~7 vM7 M7 ^M7 ^^M7 | |||
|- | |||
!8ves | |||
|52-(55) | |||
|Da Do (Di Daw) | |||
|v8 P8 (^8 ^^8) | |||
|} | |||
== 55edo == | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |||
![[55edo]] | |||
!edosteps | |||
! colspan="2" |solfege names | |||
! colspan="4" |[[Ups and downs notation|ups and downs]] names | |||
|- | |||
!unisons | |||
|0-2 | |||
| colspan="2" |Da Du Di | |||
| colspan="2" |P1 ^1 ^^1 | |||
| colspan="2" |C ^C ^^C | |||
|- | |||
!2nds | |||
|3-11 | |||
|Fre Fro Fra Fru | |||
|Re Ro Ra Ru Ri | |||
|vvm2 vm2 m2 ^m2 | |||
|~2 vM2 M2 ^M2 ^^M2 | |||
|vvDb vDb Db ^Db | |||
|vvD vD D ^D ^^D | |||
|- | |||
!3rds | |||
|12-20 | |||
|Ne No Na Nu | |||
|Me Mo Ma Mu Mi | |||
|vvm3 vm3 m3 ^m3 | |||
|~3 vM3 M3 ^M3 ^^M3 | |||
|vvEb vEb Eb ^Eb | |||
|vvE vE E ^E ^^E | |||
|- | |||
!4ths | |||
|21-25 | |||
| colspan="2" |Fe Fo Fa Fu Fi/Pe | |||
| colspan="2" |vv4 v4 P4 ^4 ~4 | |||
| colspan="2" |vvF vF F ^F ^^F | |||
|- | |||
!tritones | |||
|26-29 | |||
| colspan="2" |Po/She Pa/Sho Pu/Sha Pi/Shu | |||
| colspan="2" |vA4/vvd5 A4/vd5 ^A4/d5 ^^A4/^d5 | |||
| colspan="2" |vF#/vvGb F#/vGb ^F#/Gb ^^F#/^Gb | |||
|- | |||
!5ths | |||
|30-34 | |||
| colspan="2" |Se So Sa Su Si | |||
| colspan="2" |~5 v5 P5 ^5 ^^5 | |||
| colspan="2" |vvG vG G ^G ^^G | |||
|- | |||
!6ths | |||
|35-43 | |||
|Fle Flo Fla Flu | |||
|Le Lo La Lu Li | |||
|vvm6 vm6 m6 ^m6 | |||
|~6 vM6 M6 ^M6 ^^M6 | |||
|vvAb vAb Ab ^Ab | |||
|vvA vA A ^A ^^A | |||
|- | |||
!7ths | |||
|44-52 | |||
|The Tho Tha Thu | |||
|Te To Ta Tu Ti | |||
|vvm7 vm7 m7 ^m7 | |||
|~7 vM7 M7 ^M7 ^^M7 | |||
|vvBb vBb Bb ^Bb | |||
|vvB vB B ^B ^^B | |||
|- | |||
!8ves | |||
|53-55 | |||
| colspan="2" |De Do Da (Du Di) | |||
| colspan="2" |vv8 v8 P8 (^8 ^^8) | |||
| colspan="2" |vvC vC C (^C ^^C) | |||
|} | |||
'''Da''' Sa Ra La Ma Ta Pa/Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi '''Di''' Si Ri Li Mi Ti Pi/Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha Fra Fla Na Tha Fa '''Da''' | |||
* <u>plain</u>: '''Da''' Sa Ra La Ma Ta Pa/Sho | |||
* <u>down</u>: Sho Fro Flo No Tho Fo '''Do''' So Ro Lo Mo To Po/She | |||
* <u>dud</u>: She Fre Fle Ne The Fe '''De''' Se Re Le Me Te Pe/Fi | |||
* <u>dup</u>: Fi '''Di''' Si Ri Li Mi Ti Pi/Shu | |||
* <u>up</u>: Shu Fru Flu Nu Thu Fu '''Du''' Su Ru Lu Mu Tu Pu/Sha | |||
* <u>plain</u>: Sha Fra Fla Na Tha Fa '''Da''' | |||
==60edo== | |||
{| class="wikitable center-all" | |||
|+uniform solfege (-a = plain, -u = up, -o = down, -i = dup, -e = dud) | |||
![[60edo]] | ![[60edo]] | ||
!edosteps | !edosteps | ||