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Different ways edos I deem important map intervals, made mostly for myself for notekeeping but may be useful to you.
Different ways edos I deem important map intervals, made mostly for myself for notekeeping but may be useful to you. See [[User:Eufalesio/Holopyth and Hemipyth|Holopyth and Hemipyth]] for mapping nomenclature.


== Meantonoid edos ==
== Meantonoid edos ==
Edos that temper out the syntonic comma, in the golden series.
Edos with flat fifths that temper the syntonic comma in the golden series.
{| class="wikitable"
{| class="wikitable"
|+
|+
!Prime
!Edo
!m2:d2
!5
!5
!7
!7
Line 15: Line 16:
!29
!29
|-
|-
|12edo
|19
| rowspan="4" |major third
|1:1
|minor seventh
| rowspan="3" |major third
| rowspan="2" |tritone
| rowspan="3" |subminor seventh
| rowspan="2" |minor sixth
| rowspan="3" |minor second
| rowspan="3" |minor third
|tritone
|tritone
| rowspan="2" |minor seventh
|minor sixth
|-
| rowspan="2" |minor second
|19edo
| rowspan="2" |minor third
| rowspan="3" |subminor seventh
| rowspan="3" |supertritone
| rowspan="3" |supertritone
|minor seventh
|-
|-
|31edo
|'''31'''
|2:1
| rowspan="2" |superfourth
| rowspan="2" |superfourth
|superminor sixth
|superminor sixth
|superminor seventh
|superminor seventh
|-
|-
|50edo
|50
|3:2
|1/2perminor sixth
|1/2perminor sixth
|1/2subminor second
|1/2subminor second
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|1/2perminor seventh
|1/2perminor seventh
|}
|}
Treating super/sub as meantone dieses (d2) not pythagorean commas
Treating super/sub as meantone dieses (d2) not pythagorean commas.


== Schismoid edos ==
== Compton edos ==
Edos that temper the schisma(s) or garischisma(c), or both(g).
{| class="wikitable"
{| class="wikitable"
!Prime
!Edo
!n:12edo
!5
!5
!7
!7
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!29
!29
|-
|-
|(g)41edo
|12
| rowspan="6" |submajor third
|1
| rowspan="2" |major third
|minor seventh
|tritone
|minor sixth
| rowspan="4" |minor second
| rowspan="4" |minor third
|tritone
|minor seventh
|-
|24
|2
|1/2dimminor seventh
| rowspan="2" |1/2augfourth
| rowspan="2" |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.
 
== Panschismoid edos ==
Edos that have very accurate fifths and temper schisma-sized commas.
 
=== Cassandroids ===
{| class="wikitable"
!Edo
!m2:pc
!5
!7
!11
!13
!17
!19
!23
!29
|-
|41
|3:1
| rowspan="3" |submajor third
| rowspan="3" |subminor seventh
| rowspan="3" |subminor seventh
| rowspan="3" |hyperfourth
| rowspan="3" |hyperfourth
| rowspan="3" |hyperminor sixth
| rowspan="3" |hyperminor sixth
| rowspan="2" |superminor second
| rowspan="2" |superminor second
| rowspan="6" |minor third
| rowspan="3" |minor third
|tritone
|tritone
| rowspan="2" |superminor seventh
| rowspan="2" |superminor seventh
|-
|-
|(g)53edo
|53
|4:1
|supertritone
|supertritone
|-
|-
|(g)94edo
|'''94'''
| rowspan="2" |1/2perminor second
|7:2
|1/2perminor second
|1/2pertritone
|1/2pertritone
|1/2perminor seventh
|1/2perminor seventh
|}
=== Euschismoids ===
{| class="wikitable"
!Edo
!m2:pc
!5
!7
!11
!13
!17
!19
!23
!29
|-
|-
|(s)130edo
|130
|10:2
| rowspan="4" |submajor third
|3/2subminor seventh
|3/2subminor seventh
|3perfourth
|3perfourth
|5/2perminor sixth
|5/2perminor sixth
|1/2perminor second
| rowspan="3" |minor third
|supertritone
|supertritone
|hyperminor seventh
|hyperminor seventh
|-
|-
|(s)159edo
|159
|12:3
| rowspan="2" |4/3subminor seventh
| rowspan="2" |4/3subminor seventh
| rowspan="2" |7/3perfourth
| rowspan="2" |7/3perfourth
Line 88: Line 163:
|4/3perminor seventh
|4/3perminor seventh
|-
|-
|(s)171edo
|171
|13:3
|7/3perminor sixth
|7/3perminor sixth
|supertritone
|supertritone
|5/3perminor seventh
|5/3perminor seventh
|-
|-
|(c)217edo
|224
|17:4
|5/4subminor seventh
|5/2perfourth
|9/4perminor sixth
|3/4perminor second
|1/4perminor third
|3/4pertritone
|3/2perminor seventh
|}
 
=== Garischismoids ===
{| class="wikitable"
!Edo
!5
!7
!11
!13
!17
!19
!23
!29
|-
|217
|4/5submajor third
|4/5submajor third
| rowspan="3" |subminor seventh
| rowspan="3" |subminor seventh
Line 103: Line 202:
|6/5perminor seventh
|6/5perminor seventh
|-
|-
|(c)270edo
|'''270'''
|5/6submajor third
|5/6submajor third
|11/6perminor sixth
|11/6perminor sixth
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|4/3perminor seventh
|4/3perminor seventh
|-
|-
|(c)311edo
|'''311'''
|6/7submajor third
|6/7submajor third
|13/7perminor sixth
|13/7perminor sixth
|
|4/7perminor second
|1/7perminor third
|1/7perminor third
|4/7pertritone
|4/7pertritone
|9/7perminor seventh
|9/7perminor seventh
|}
|}
WIP
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