7L 4s: Difference between revisions

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On the soft side of the scale, 7L 4s is a scale of the [[rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.

[[Subgroup temperaments#Demon temperament|Demon temperament]] is closer to the center of this MOS's tuning range, but it is in the uncommon subgroup 2.9.11, and like ~~Sixix~~ it is moderately inaccurate, compressing [[11/9]] into a supraminor third.

[[Subgroup temperaments#Demon temperament|Demon temperament]] is closer to the center of this MOS's tuning range, but it is in the uncommon subgroup 2.9.11, and like sixix it is moderately inaccurate, compressing [[11/9]] into a supraminor third.

7L 4s ~~is still notable for representing~~ [[17/14]] and [[23/19]] ~~with tolerable accuracy for as much as that is worth~~.

7L 4s's generator range contains [[17/14]] and [[23/19]].

In the equal divisions which are in the size of hundreds, [[cohemimabila]] temperament is a reasonable intepretation of 7L 4s through regular temperament theory. It is supported by [[43edo]], notable for being studied by [[Wikipedia:Joseph Sauveur|Joseph Sauveur]] due to harmonic strength, and [[111edo]], which is uniquely consistent in the 15-odd-limit. The generator is mapped to [[128/105]], and in higher limits it is tempered together with 17/14.

@@ Line 19: / Line 19: @@
 On the soft side of the scale, 7L 4s is a scale of the [[rarity]] temperament, with tunings like [[29edo]], and [[69edo]] which are consistent in the 5-limit and therefore can be regared as simplest interpretation in the 5-limit for 7L 4s, using edo numbers alone. However, the comma itself is quite complex.
-[[Subgroup temperaments#Demon temperament|Demon temperament]] is closer to the center of this MOS's tuning range, but it is in the uncommon subgroup 2.9.11, and like Sixix it is moderately inaccurate, compressing [[11/9]] into a supraminor third.
+[[Subgroup temperaments#Demon temperament|Demon temperament]] is closer to the center of this MOS's tuning range, but it is in the uncommon subgroup 2.9.11, and like sixix it is moderately inaccurate, compressing [[11/9]] into a supraminor third.
-L 4s is still notable for representing [[17/14]] and [[23/19]] with tolerable accuracy for as much as that is worth.
+L 4s's generator range contains [[17/14]] and [[23/19]].
 In the equal divisions which are in the size of hundreds, [[cohemimabila]] temperament is a reasonable intepretation of 7L 4s through regular temperament theory. It is supported by [[43edo]], notable for being studied by [[Wikipedia:Joseph Sauveur|Joseph Sauveur]] due to harmonic strength, and [[111edo]], which is uniquely consistent in the 15-odd-limit. The generator is mapped to [[128/105]], and in higher limits it is tempered together with 17/14.