68edo: Difference between revisions
→Regular temperament properties: begin rank 2 temp table |
→Regular temperament properties: + associated ratios; this fixes the alignment. Note hemiwuerschmidt |
||
| (4 intermediate revisions by one other user not shown) | |||
| Line 370: | Line 370: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 245/243, 2048/2025, 2401/2400 | | 245/243, 2048/2025, 2401/2400 | ||
| {{ | | {{Mapping| 68 108 158 191 }} | ||
| −0.983 | | −0.983 | ||
| 0.915 | | 0.915 | ||
| Line 377: | Line 377: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 121/120, 176/175, 245/243, 1375/1372 | | 121/120, 176/175, 245/243, 1375/1372 | ||
| {{ | | {{Mapping| 68 108 158 191 235 }} | ||
| −0.541 | | −0.541 | ||
| 1.206 | | 1.206 | ||
| Line 384: | Line 384: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 121/120, 176/175, 196/195, 245/243, 275/273 | | 121/120, 176/175, 196/195, 245/243, 275/273 | ||
| {{ | | {{Mapping| 68 108 158 191 235 252 }} | ||
| −0.745 | | −0.745 | ||
| 1.191 | | 1.191 | ||
| Line 391: | Line 391: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 121/120, 136/135, 154/153, 176/175, 196/195, 275/273 | | 121/120, 136/135, 154/153, 176/175, 196/195, 275/273 | ||
| {{ | | {{Mapping| 68 108 158 191 235 252 278 }} | ||
| −0.671 | | −0.671 | ||
| 1.118 | | 1.118 | ||
| Line 398: | Line 398: | ||
| 2.3.5.7.11.13.17.19 | | 2.3.5.7.11.13.17.19 | ||
| 121/120, 136/135, 154/153, 190/189, 176/175, 196/195, 275/273 | | 121/120, 136/135, 154/153, 190/189, 176/175, 196/195, 275/273 | ||
| {{ | | {{Mapping| 68 108 158 191 235 252 278 289 }} | ||
| −0.661 | | −0.661 | ||
| 1.046 | | 1.046 | ||
| Line 409: | Line 409: | ||
|- | |- | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated<br>ratio* | |||
! Temperament | ! Temperament | ||
|- | |- | ||
| Line 416: | Line 417: | ||
| 5\68 | | 5\68 | ||
| 88.24 | | 88.24 | ||
| 20/19 | |||
| [[Octacot]] | | [[Octacot]] | ||
|- | |- | ||
| Line 421: | Line 423: | ||
| 11\68 | | 11\68 | ||
| 194.12 | | 194.12 | ||
| [[ | | 28/25 | ||
| [[Hemiwürschmidt]] (68e) / hemiwur (68) | |||
|- | |- | ||
| 2 | | 2 | ||
| 3\68 | | 3\68 | ||
| 52.94 | | 52.94 | ||
| 33/32 | |||
| [[Shrutar]] | | [[Shrutar]] | ||
|- | |- | ||
| Line 431: | Line 435: | ||
| 6\68 | | 6\68 | ||
| 105.88 | | 105.88 | ||
| 17/16 | |||
| [[Bidia]] | | [[Bidia]] | ||
|} | |} | ||
<nowiki/>* In [[normal forms #Minimal-generator form|minimal-generator form]] | |||
== Scales == | == Scales == | ||
: ''See also: [[List of MOS scales in 68edo]], [[34edo #Scales]], and [[17edo #Scales]].'' | : ''See also: [[List of MOS scales in 68edo]], [[34edo #Scales]], and [[17edo #Scales]].'' | ||
* | * [[Deeptone]][7]: 10 10 9 10 10 10 9 | ||
* [[Hemiwur]][31]: 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 | |||
* Inverse half octave: 4 4 7 4 4 4 4 7 4 4 7 4 4 4 4 7 | * Inverse half octave{{clarify}}: 4 4 7 4 4 4 4 7 4 4 7 4 4 4 4 7 | ||
* | * Negative semitone: 14 14 -1 14 14 14 -1 (''E is sharper than F, and B is sharper than C'') | ||
* Quartkeenlig[23] ( | * [[Octacot]][27]: 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 | ||
* [[Quartkeenlig]][23] (stretched [[23edo]]): 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 | |||
* [[Shrutar]][22]: 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 | |||
* [[Superpyth]] quarter octave{{clarify}}: 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 3 3 1 3 3 3 1 | |||
== Instruments == | == Instruments == | ||