253edo: Difference between revisions
m Cleanup |
Cleanup |
||
| Line 24: | Line 24: | ||
| 2.3 | | 2.3 | ||
| {{monzo| 401 -253 }} | | {{monzo| 401 -253 }} | ||
| | | {{mapping| 253 401 }} | ||
| -0.007 | | -0.007 | ||
| 0.007 | | 0.007 | ||
| Line 31: | Line 31: | ||
| 2.3.5 | | 2.3.5 | ||
| 32805/32768, {{monzo| -4 -37 27 }} | | 32805/32768, {{monzo| -4 -37 27 }} | ||
| | | {{mapping| 253 401 587 }} | ||
| +0.300 | | +0.300 | ||
| 0.435 | | 0.435 | ||
| Line 38: | Line 38: | ||
| 2.3.5.7 | | 2.3.5.7 | ||
| 2401/2400, 32805/32768, 390625/387072 | | 2401/2400, 32805/32768, 390625/387072 | ||
| | | {{mapping| 253 401 587 710 }} | ||
| +0.335 | | +0.335 | ||
| 0.381 | | 0.381 | ||
| Line 45: | Line 45: | ||
| 2.3.5.7.11 | | 2.3.5.7.11 | ||
| 385/384, 1375/1372, 4000/3993, 19712/19683 | | 385/384, 1375/1372, 4000/3993, 19712/19683 | ||
| | | {{mapping| 253 401 587 710 875 }} | ||
| +0.333 | | +0.333 | ||
| 0.341 | | 0.341 | ||
| Line 52: | Line 52: | ||
| 2.3.5.7.11.13 | | 2.3.5.7.11.13 | ||
| 325/324, 385/384, 1375/1372, 1575/1573, 2200/2197 | | 325/324, 385/384, 1375/1372, 1575/1573, 2200/2197 | ||
| | | {{mapping| 253 401 587 710 875 936 }} | ||
| +0.323 | | +0.323 | ||
| 0.312 | | 0.312 | ||
| Line 59: | Line 59: | ||
| 2.3.5.7.11.13.17 | | 2.3.5.7.11.13.17 | ||
| 325/324, 375/374, 385/384, 595/594, 1275/1274, 2200/2197 | | 325/324, 375/374, 385/384, 595/594, 1275/1274, 2200/2197 | ||
| | | {{mapping| 253 401 587 710 875 936 1034 }} | ||
| +0.298 | | +0.298 | ||
| 0.295 | | 0.295 | ||
| Line 68: | Line 68: | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated<br>Ratio | ! Associated<br>Ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 98: | Line 98: | ||
| [[Cotritone]] | | [[Cotritone]] | ||
|} | |} | ||
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Scales == | == Scales == | ||
* 63 32 63 63 32: [[3L 2s| | * 63 32 63 63 32: One of many [[3L 2s|pentic]] scales available | ||
* 43 43 19 43 43 43 19: [[Helmholtz]][7] | * 43 43 19 43 43 43 19: [[Helmholtz]][7] | ||
* 41 41 24 41 41 41 24: [[Meantone]][7] | * 41 41 24 41 41 41 24: [[Meantone]][7] | ||