Magic: Difference between revisions
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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. | ||
== Spectrum of | == Spectrum of magic tunings by eigenmonzos == | ||
{| class="wikitable" | {| class="wikitable center-all left-3" | ||
|- | |- | ||
! Eigenmonzo | ! Eigenmonzo | ||
! Major Third | ! Major Third | ||
! Comments | |||
|- | |- | ||
| 6/5 | | 6/5 | ||
| 378.910 | | 378.910 | ||
| | |||
|- | |- | ||
| 10/9 | | 10/9 | ||
| 379.733 | | 379.733 | ||
| | |||
|- | |- | ||
| 7/5 | | 7/5 | ||
| 380.228 | | 380.228 | ||
| | |||
|- | |- | ||
| 4/3 | | 4/3 | ||
| 380.391 | | 380.391 | ||
| 5, 7 and 9 limit minimax | |||
|- | |- | ||
| 11/9 | | 11/9 | ||
| 380.700 | | 380.700 | ||
| 11 limit minimax | |||
|- | |- | ||
| 8/7 | | 8/7 | ||
| 380.735 | | 380.735 | ||
| | |||
|- | |- | ||
| 12/11 | | 12/11 | ||
| 380.818 | | 380.818 | ||
| | |||
|- | |- | ||
| 14/11 | | 14/11 | ||
| 380.875 | | 380.875 | ||
| | |||
|- | |- | ||
| 7/6 | | 7/6 | ||
| 380.982 | | 380.982 | ||
| | |||
|- | |- | ||
| 11/8 | | 11/8 | ||
| 381.085 | | 381.085 | ||
| | |||
|- | |- | ||
| 11/10 | | 11/10 | ||
| 381.666 | | 381.666 | ||
| | |||
|- | |- | ||
| 9/7 | | 9/7 | ||
| 382.458 | | 382.458 | ||
| | |||
|- | |- | ||
| 5/4 | | 5/4 | ||
| 386.314 | | 386.314 | ||
| | |||
|} | |} | ||