User:Eufalesio/Mappings of edos
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.
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 |