User:Eufalesio/Mappings of edos: Difference between revisions

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Superpyth add
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Using aug/dim fractions because the chain of fifth is heavily enfactored.
Using aug/dim fractions because the chain of fifth is heavily enfactored.
== Superpythoid edos ==
{| class="wikitable"
!Edo
!A1:m2
!5
!7
!11
!13
!17
!19
!23
!29
|-
|22
|3:1
| rowspan="2" |limmajor third
| rowspan="3" |lumminor seventh
| rowspan="3" |limfourth
|limminor sixth
| rowspan="2" |limminor second
|minor third
|tritone
| rowspan="2" |limminor seventh
|-
|27
|4:1
|2limminor sixth
|2limminor third
|lumtritone
|-
|34
|2:1
|1/2limmajor third
|limminor sixth
|3/2limminor second
|minor third
|tritone
|1/2limminor seventh
|}
Using m2 fractions because the mapped pythagorean comma is far too big. 34edo can use either m2 or pc since both are equal there.


== Panschismoid edos ==
== Panschismoid edos ==

Revision as of 13:37, 20 February 2026

Different ways edos I deem important map intervals, made mostly for myself for notekeeping but may be useful to you. See Holopyth and Hemipyth for mapping nomenclature.

Meantonoid edos

Edos with flat fifths that temper the syntonic comma in the golden series.

Edo m2:d2 5 7 11 13 17 19 23 29
19 1:1 major third subminor seventh tritone minor sixth minor second minor third supertritone minor seventh
31 2:1 superfourth superminor sixth superminor seventh
50 3:2 1/2perminor sixth 1/2subminor second 1/2subminor third 1/2perminor seventh

Treating super/sub as meantone dieses (d2) not pythagorean commas.

Compton edos

Edo n:12edo 5 7 11 13 17 19 23 29
12 1 major third minor seventh tritone minor sixth minor second minor third tritone minor seventh
24 2 1/2dimminor seventh 1/2augfourth 1/2augminor sixth 1/2augtritone 1/2augminor seventh
72 6 1/6dimmajor third 1/3dimminor seventh 1/3augtritone 1/3augminor seventh
84 7 1/7dimmajor third 2/7dimminor seventh 3/7augfourth 3/7augminor sixth 2/7augtritone 2/7augminor seventh

Using aug/dim fractions because the chain of fifth is heavily enfactored.

Superpythoid edos

Edo A1:m2 5 7 11 13 17 19 23 29
22 3:1 limmajor third lumminor seventh limfourth limminor sixth limminor second minor third tritone limminor seventh
27 4:1 2limminor sixth 2limminor third lumtritone
34 2:1 1/2limmajor third limminor sixth 3/2limminor second minor third tritone 1/2limminor seventh

Using m2 fractions because the mapped pythagorean comma is far too big. 34edo can use either m2 or pc since both are equal there.

Panschismoid edos

Edos that have very accurate fifths and temper schisma-sized commas.

Cassandroids

Edo m2:pc 5 7 11 13 17 19 23 29
41 3:1 submajor third subminor seventh hyperfourth hyperminor sixth superminor second minor third tritone superminor seventh
53 4:1 supertritone
94 7:2 1/2perminor second 1/2pertritone 1/2perminor seventh

Euschismoids

Edo m2:pc 5 7 11 13 17 19 23 29
130 10:2 submajor third 3/2subminor seventh 3perfourth 5/2perminor sixth 1/2perminor second minor third supertritone hyperminor seventh
159 12:3 4/3subminor seventh 7/3perfourth hyperminor sixth 2/3perminor second 2/3pertritone 4/3perminor seventh
171 13:3 7/3perminor sixth supertritone 5/3perminor seventh
224 17:4 5/4subminor seventh 5/2perfourth 9/4perminor sixth 3/4perminor second 1/4perminor third 3/4pertritone 3/2perminor seventh

Garischismoids

Edo 5 7 11 13 17 19 23 29
217 4/5submajor third subminor seventh hyperfourth 9/5perminor sixth 3/5perminor second 1/5perminor third 3/5pertritone 6/5perminor seventh
270 5/6submajor third 11/6perminor sixth 2/3perminor second 1/6perminor third 1/2pertritone 4/3perminor seventh
311 6/7submajor third 13/7perminor sixth 4/7perminor second 1/7perminor third 4/7pertritone 9/7perminor seventh
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