7-limit - Revision history

Inthar: /* 12:14:16:18:21:24 by 5/4 */

2026-04-11T16:20:06Z

12:14:16:18:21:24 by 5/4

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2026-04-11T16:06:58Z

Zil

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	=== Zil ===		=== Zil ===
	Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160).		Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of 7-limit JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160).
	==== Zil[14] ====		==== Zil[14] ====
	The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:		The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:

2026-04-11T16:05:14Z

Mode 5

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	This scale is notably used in the music of the Wagogo people in Tanzania.		The simplest full 7-limit JI scale. This scale is notably used in the music of the Wagogo people in Tanzania.

	=== Rooted Mixolydian ===		=== Rooted Mixolydian ===
	<pre>		<pre>

2026-04-11T16:04:35Z

Rooted Mixolydian

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	~~Septimalydian is a mode of this.~~
	=== Rooted Ionian ===		=== Rooted Ionian ===
	<pre>		<pre>

2026-04-11T16:04:06Z

Full 7-limit JI scales

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	== Full 7-limit JI scales ==		== Full 7-limit JI scales ==
			=== Mode 5 ===
			<pre>
			8:9:10:12:14:16
			</pre>
			This scale is notably used in the music of the Wagogo people in Tanzania.
	=== Rooted Mixolydian ===		=== Rooted Mixolydian ===
	<pre>		<pre>

2026-04-11T16:02:39Z

Full 7-limit tempered scales

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	== Full 7-limit tempered scales ==		== Full 7-limit tempered scales ==
			=== Superpyth[12] ===
			Superpyth[12] is constructed by applying [[Superpyth]] temperament (2.3.5.7[22 & 27]; equivalently tempering out 64/63 and 245/243) to a 12-note chain of fifths. It contains Superpyth-tempered 5-limit [[blackdye]].
	=== Pajara ===		=== Pajara ===
	[[Pajara]] can be used as an interpretation of 2L8s and 10L2s or their modifications. Pajara works best in [[22edo]].		[[Pajara]] can be used as an interpretation of 2L8s and 10L2s or their modifications. Pajara works best in [[22edo]].

2026-04-11T15:46:45Z

Zil[24]

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	=== Zil[24] ===		==== Zil[24] ====
	Zil[24] is achiral. It has a 4×3×2 structure in the 7-limit lattice.		Zil[24] is achiral. It has a 4×3×2 structure in the 7-limit lattice.
	<pre>		<pre>

2026-04-11T15:46:36Z

Zil[14]

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	=== Zil ===		=== Zil ===
	Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160).		Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160).
	=== Zil[14] ===		==== Zil[14] ====
	The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:		The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:

2026-04-11T15:46:28Z

Zil

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 </pre>
 === Zil ===
-Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160). The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving|interleaved]] 5-limit [[zarlino]] copies:
+Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160).
 RH zil[14]
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2026-04-11T15:28:38Z

Zil

← Older revision		Revision as of 15:28, 11 April 2026
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	</pre>		</pre>
	=== Zil ===		=== Zil ===
	Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]]. The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:		Zil (from the temperament Godzilla which the zil series serves as a detempering of) is a series of [[7-limit]] JI scales created from a [[generator sequence]] GS(8/7, 7/6, 8/7, 7/6, 8/7, 7/6, 8/7, 189/160). The most discussed of the zil scales is zil[14] which is chiral depending on the chirality of the [[interleaving\|interleaved]] 5-limit [[zarlino]] copies:

	RH zil[14]		RH zil[14]