Magic - Revision history

Unque: Target tunings

2026-04-13T18:22:54Z

Target tunings

@@ Line 114: / Line 114: @@
 Due to the juxtaposition of the Magic Diesis against significantly larger step sizes, it is often desirable to use a non-MOS structure in Magic, such as [[Blackdye]] or the [[5-odd-limit|5-odd Diamond]].
-== List of patent vals ==
+== List of tunings ==
 The following patent vals support 2.3.5 Magic. Vals that are contorted in 2.3.5 are not included.
 {| class="wikitable sortable"
@@ Line 158: / Line 160: @@
 ||16
 | ||375.000||675.000
 |}
 {{cat|Temperaments}}{{Navbox regtemp}}

2026-04-13T17:24:12Z

@@ Line 94: / Line 94: @@
 {{Adv|[[canonical extension|structurally inducing]] the above 2.3.5.7.29.31 extension.}}
 == List of patent vals ==
@@ Line 140: / Line 159: @@
 | ||375.000||675.000
 |}
 {{cat|Temperaments}}{{Navbox regtemp}}

2026-04-13T17:11:07Z

Started section on scales

@@ Line 140: / Line 140: @@
 | ||375.000||675.000
 |}
 {{cat|Temperaments}}{{Navbox regtemp}}

2026-03-14T23:03:58Z

List of patent vals

← Older revision		Revision as of 23:03, 14 March 2026
Line 96:		Line 96:

	== List of patent vals ==		== List of patent vals ==
	The following patent vals support 2.3.5 Magic. ~~Contorted vals~~ are not included.		The following patent vals support 2.3.5 Magic. Vals that are contorted in 2.3.5 are not included.
	{\| class="wikitable sortable"		{\| class="wikitable sortable"
	! Edo		! Edo

2026-03-14T14:32:47Z

List of patent vals

← Older revision		Revision as of 14:32, 14 March 2026
Line 98:		Line 98:
	The following patent vals support 2.3.5 Magic. Contorted vals are not included.		The following patent vals support 2.3.5 Magic. Contorted vals are not included.
	{\| class="wikitable sortable"		{\| class="wikitable sortable"
	! Edo \|\| Generator \|\| Fifth		! Edo
			!Extension to 7\|\| Generator \|\| Fifth
	\|-		\|-
	\|\|3\|\|400.000\|\|800.000		\|\|3
			\| \|\|400.000\|\|800.000
	\|-		\|-
	\|\|25\|\|384.000\|\|720.000		\|\|25
			\| \|\|384.000\|\|720.000
	\|-		\|-
	\|\|22\|\|381.818\|\|709.091		\|\|22
			\|19 & 22\|\|381.818\|\|709.091
	\|-		\|-
	\|\|107\|\|381.308\|\|706.542		\|\|107
			\| \|\|381.308\|\|706.542
	\|-		\|-
	\|\|85\|\|381.176\|\|705.882		\|\|85
			\|19 & 22\|\|381.176\|\|705.882
	\|-		\|-
	\|\|63\|\|380.952\|\|704.762		\|\|63
			\|19 & 22\|\|380.952\|\|704.762
	\|-		\|-
	\|\|104\|\|380.769\|\|703.846		\|\|104
			\| \|\|380.769\|\|703.846
	\|-		\|-
	\|\|41\|\|380.488\|\|702.439		\|\|41
			\|19 & 22\|\|380.488\|\|702.439
	\|-		\|-
	\|\|60\|\|380.000\|\|700.000		\|\|60
			\|19 & 22\|\|380.000\|\|700.000
	\|-		\|-
	\|\|79\|\|379.747\|\|698.734		\|\|79
			\| \|\|379.747\|\|698.734
	\|-		\|-
	\|\|19\|\|378.947\|\|694.737		\|\|19
			\|19 & 22\|\|378.947\|\|694.737
	\|-		\|-
	\|\|35\|\|377.143\|\|685.714		\|\|35
			\| \|\|377.143\|\|685.714
	\|-		\|-
	\|\|16\|\|375.000\|\|675.000		\|\|16
			\| \|\|375.000\|\|675.000
	\|}		\|}

	{{cat\|Temperaments}}{{Navbox regtemp}}		{{cat\|Temperaments}}{{Navbox regtemp}}

2026-03-14T14:29:18Z

List of patent vals

← Older revision		Revision as of 14:29, 14 March 2026
Line 96:		Line 96:

	== List of patent vals ==		== List of patent vals ==
	The following patent vals support 2.3.5.7 Magic. Contorted vals are not included.		The following patent vals support 2.3.5 Magic. Contorted vals are not included.
	{\| class="wikitable sortable"		{\| class="wikitable sortable"
	! Edo \|\| Generator \|\| Fifth		! Edo \|\| Generator \|\| Fifth
			\|-
			\|\|3\|\|400.000\|\|800.000
			\|-
			\|\|25\|\|384.000\|\|720.000
	\|-		\|-
	\|\|22\|\|381.818\|\|709.091		\|\|22\|\|381.818\|\|709.091
			\|-
			\|\|107\|\|381.308\|\|706.542
	\|-		\|-
	\|\|85\|\|381.176\|\|705.882		\|\|85\|\|381.176\|\|705.882
Line 111:		Line 117:
	\|-		\|-
	\|\|60\|\|380.000\|\|700.000		\|\|60\|\|380.000\|\|700.000
			\|-
			\|\|79\|\|379.747\|\|698.734
	\|-		\|-
	\|\|19\|\|378.947\|\|694.737		\|\|19\|\|378.947\|\|694.737
			\|-
			\|\|35\|\|377.143\|\|685.714
			\|-
			\|\|16\|\|375.000\|\|675.000
	\|}		\|}

	{{cat\|Temperaments}}{{Navbox regtemp}}		{{cat\|Temperaments}}{{Navbox regtemp}}

2026-03-14T01:14:40Z

Extensions

← Older revision		Revision as of 01:14, 14 March 2026
Line 94:		Line 94:

	{{Adv\|[[canonical extension\|structurally inducing]] the above 2.3.5.7.29.31 extension.}}		{{Adv\|[[canonical extension\|structurally inducing]] the above 2.3.5.7.29.31 extension.}}

			== List of patent vals ==
			The following patent vals support 2.3.5.7 Magic. Contorted vals are not included.
			{\| class="wikitable sortable"
			! Edo \|\| Generator \|\| Fifth
			\|-
			\|\|22\|\|381.818\|\|709.091
			\|-
			\|\|85\|\|381.176\|\|705.882
			\|-
			\|\|63\|\|380.952\|\|704.762
			\|-
			\|\|104\|\|380.769\|\|703.846
			\|-
			\|\|41\|\|380.488\|\|702.439
			\|-
			\|\|60\|\|380.000\|\|700.000
			\|-
			\|\|19\|\|378.947\|\|694.737
			\|}

	{{cat\|Temperaments}}{{Navbox regtemp}}		{{cat\|Temperaments}}{{Navbox regtemp}}

2026-03-07T03:11:54Z

Interval chain

2026-03-07T03:05:55Z

Interval chain

← Older revision		Revision as of 03:05, 7 March 2026
Line 16:		Line 16:

	== Interval chain ==		== Interval chain ==
	In the following table, odd harmonics ~~1–13~~ and their inverses are in '''bold'''.		In the following table, odd harmonics 1–15 and their inverses are in '''bold'''.
	{\| class="wikitable center-1 right-2"		{\| class="wikitable center-1 right-2"
	\|-		\|-
Line 49:		Line 49:
	\| 6		\| 6
	\| 1082.7		\| 1082.7
	\| 15/8, 28/15		\| '''15/8''', 28/15
	\|-		\|-
	\| 7		\| 7

2026-03-07T03:05:34Z

Interval chain

← Older revision		Revision as of 03:05, 7 March 2026
Line 80:		Line 80:
	\|}		\|}
	<nowiki/>* In 7-limit CWE tuning		<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.~~

	== Extensions ==		== Extensions ==