7-limit: Difference between revisions
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== Full 7-limit JI scales == | == Full 7-limit JI scales == | ||
=== Rooted Mixolydian === | |||
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16:18:20:21:24:27:28:32 | |||
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Septimalydian is a mode of this. | |||
=== Rooted Ionian === | |||
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16:18:20:21:24:27:30:32 | |||
</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]]. 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: | ||
Revision as of 13:52, 11 April 2026
The 7-limit or the 2.3.5.7 subgroup is the subgroup of just intonation consisting of the intervals reachable by stacking 2/1, 3/2, 5/4, and 7/4.
Full 7-limit JI scales
Rooted Mixolydian
16:18:20:21:24:27:28:32
Septimalydian is a mode of this.
Rooted Ionian
16:18:20:21:24:27:30:32
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 interleaved 5-limit zarlino copies:
RH zil[14]
21/20 9/8 189/160 6/5 21/16 27/20 7/5 3/2 63/40 8/5 7/4 9/5 63/32 2/1
LH zil[14]
21/20 9/8 7/6 6/5 21/16 4/3 7/5 3/2 63/40 8/5 7/4 9/5 63/32 2/1
Jar
Jar is a detempering of Pajara[10] with an analogous structure to zil[14]:
RH jar
35/32 7/6 5/4 4/3 35/24 3/2 5/3 7/4 15/8 2/1
LH jar
16/15 8/7 6/5 4/3 48/35 3/2 8/5 12/7 64/35 2/1
