Magic: Difference between revisions

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== Scales ==
== Scales ==
; MOS scales
; MOS scales
* [[Magic7]]
* [[Magic7]] - improper [[3L 4s]]
* [[Magic10]]
* [[Magic10]] - improper [[3L 7s]]
* [[Magic13]]
* [[Magic13]] - improper [[3L 10s]]
* [[Magic16]]
* [[Magic16]] - improper [[3L 13s]]. The boundary of propriety is 19edo.
* [[Magic19]]
* [[Magic19]] - proper [[3L 16s]]. The boundary of propriety is 22edo.
* [[Magic22]]
* [[Magic22]] - [[19L 3s]] scale. The boundary of propriety is 41edo.
; Transversal scales
; Transversal scales
* [[Magic19trans37]]
* [[Magic19trans37]]
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| 13/11
| 13/11
| 380.354
| 380.354
| 13- and 15-odd-limit minimax
| 13 and 15-odd-limit minimax
|-
|-
|
|
Line 196: Line 196:
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
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| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 364: Line 364:
| 18/13
| 18/13
| 380.709
| 380.709
| 13- and 15-odd-limit minimax
| 13 and 15-odd-limit minimax
|-
|-
|
|
Line 567: Line 567:
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
|
|
Line 592: Line 592:
| 11/9
| 11/9
| 380.700
| 380.700
| 11-, 13- and 15-odd-limit minimax
| 11, 13 and 15-odd-limit minimax
|-
|-
|
|
Line 760: Line 760:
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 785: Line 785:
| 13/11
| 13/11
| 380.719
| 380.719
| 13- and 15-odd-limit minimax
| 13 and 15-odd-limit minimax
|-
|-
|
|
Line 933: Line 933:
| 16/13
| 16/13
| 380.029
| 380.029
| 13- and 15-odd-limit minimax
| 13 and 15-odd-limit minimax
|-
|-
|
|
Line 958: Line 958:
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41
Line 969: Line 969:
| 380.506
| 380.506
| 7-odd-limit least squares
| 7-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -30 -73 30 46 78 }}</span>
| 380.562
| 15-odd-limit least squares
|-
|
| <span style="font-size:0.75em">{{monzo| 0 -10 -53 24 38 66 }}</span>
| 380.568
| 13-odd-limit least squares
|-
|-
|
|
Line 1,181: Line 1,191:
| 4/3
| 4/3
| 380.391
| 380.391
| 5-, 7- and 9-odd-limit minimax
| 5, 7 and 9-odd-limit minimax
|-
|-
| 13\41
| 13\41