Magic: Difference between revisions
m →Spectrum of magic tunings by eigenmonzos: Formatting |
m Table formatting; unify precision |
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| Line 21: | Line 21: | ||
* [[3L 4s]]: LsLsLss where L = 6/5 | * [[3L 4s]]: LsLsLss where L = 6/5 | ||
* [[ | * [[3L 7s]]: LssLssLsss where L = 7/6 | ||
* [[3L 10s]]: LsssLsssLssss where L = 9/8 | * [[3L 10s]]: LsssLsssLssss where L = 9/8 | ||
* [[3L 13s]]: LssssLssssLsssss where L is a neutral second, which can be taken to represent 12/11 (in magic temperament) or 11/10 (in the related [[Magic family #Telepathy|telepathy]] temperament). In 22edo they are identical. | * [[3L 13s]]: LssssLssssLsssss where L is a neutral second, which can be taken to represent 12/11 (in magic temperament) or 11/10 (in the related [[Magic family #Telepathy|telepathy]] temperament). In 22edo they are identical. | ||
| Line 27: | Line 27: | ||
== Interval chain == | == Interval chain == | ||
{| class="wikitable" | {| class="wikitable center-all" | ||
|- | |- | ||
| 0 | ! Cents* | ||
| 0 | |||
| 380.352 | | 380.352 | ||
| 760.704 | | 760.704 | ||
| 1141.056 | | 1141.056 | ||
| 321.408 | | 321.408 | ||
| 701. | | 701.760 | ||
| 1082.112 | | 1082.112 | ||
| 262.464 | | 262.464 | ||
| 642.816 | | 642.816 | ||
| 1023.168 | | 1023.168 | ||
| 203. | | 203.520 | ||
| 583.872 | | 583.872 | ||
| 964.224 | | 964.224 | ||
| 144.576 | | 144.576 | ||
|- | |- | ||
! Ratios | |||
| 1/1 | | 1/1 | ||
| 5/4 | | 5/4 | ||
| Line 59: | Line 61: | ||
| (12/11) | | (12/11) | ||
|} | |} | ||
<nowiki>*</nowiki> in 7-limit [[POTE tuning]] | |||
The generator chain val for 13-limit magic is {{val| 0 5 1 12 -8 18 }}, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52. | The generator chain val for 13-limit magic is {{val| 0 5 1 12 -8 18 }}, so that five generators give an approximate 3, twelve 14, minus eight 11/64, and eighteen 52. | ||