Magic: Difference between revisions

Cleanup; +categories
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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 Magic Tunings by Eigenmonzos ==
== 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 (5, 7 and 9 limit minimax)
| 380.391
| 5, 7 and 9 limit minimax
|-
|-
| 11/9
| 11/9
| 380.700 (11 limit minimax)
| 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
|
|}
|}