Magic: Difference between revisions
m Misc. cleanup; +link to magic extensions page |
→Interval chain: modernize the table |
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== Interval chain == | == Interval chain == | ||
{| class="wikitable center- | In the following table, odd harmonics 1–13 and their inverses are in '''bold'''. | ||
{| class="wikitable center-1 right-2" | |||
|- | |- | ||
! # | |||
! Cents* | ! Cents* | ||
! Approximate ratios | |||
|- | |||
| 0 | | 0 | ||
| | | 0.0 | ||
| | | '''1/1''' | ||
| | |- | ||
| | | 1 | ||
| | | 380.5 | ||
| '''5/4''' | |||
| | |||
|- | |- | ||
| 2 | |||
| | | 760.9 | ||
| | |||
| 14/9 | | 14/9 | ||
|- | |||
| 3 | |||
| 1141.4 | |||
| 27/14 | | 27/14 | ||
|- | |||
| 4 | |||
| 321.8 | |||
| 6/5 | | 6/5 | ||
| 3/2 | |- | ||
| 15/8 | | 5 | ||
| 702.3 | |||
| '''3/2''' | |||
|- | |||
| 6 | |||
| 1082.7 | |||
| 15/8, 28/15 | |||
|- | |||
| 7 | |||
| 263.2 | |||
| 7/6 | | 7/6 | ||
| (16/11) | |- | ||
| 8 | |||
| 643.7 | |||
| '''(16/11)''' | |||
|- | |||
| 9 | |||
| 1024.1 | |||
| 9/5 | | 9/5 | ||
| 9/8 | |- | ||
| 10 | |||
| 204.6 | |||
| '''9/8''' | |||
|- | |||
| 11 | |||
| 585.0 | |||
| 7/5 | | 7/5 | ||
| 7/4 | |- | ||
| 12 | |||
| 965.5 | |||
| '''7/4''' | |||
|- | |||
| 13 | |||
| 145.9 | |||
| (12/11) | | (12/11) | ||
|} | |} | ||
<nowiki/>* In 7-limit | <nowiki/>* In 7-limit CWE 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. | ||