5L 7s: Difference between revisions
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The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean such that [[64/63]] is not tempered out, such as the schismatic temperaments known as Helmholtz and Garibaldi, and on the other hand, th simpler and less accurate temperament known as [[archy]] in which 64/63 is tempered out. | The two distinct harmonic entropy minima are, on the one hand, scales very close to Pythagorean such that [[64/63]] is not tempered out, such as the schismatic temperaments known as Helmholtz and Garibaldi, and on the other hand, th simpler and less accurate temperament known as [[archy]] in which 64/63 is tempered out. | ||
== | == Scale properties == | ||
{{MOS | {{TAMNAMS use}} | ||
=== Proposed | {{MOS data}} | ||
=== Proposed names === | |||
The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature. Furthermore, 12edo (equalized tuning of this MOS) was independently discovered in China. | The modes are named by [[Eliora]] after Chinese zodiac animals. 5L 7s is the opposite mos to [[7L 5s]], named after a Western concept, Gregorian months, therefore this mos scale has Eastern nomenclature. Furthermore, 12edo (equalized tuning of this MOS) was independently discovered in China. | ||
{{MOS modes|Mode Names= Rat | {{MOS modes | ||
| Mode Names= | |||
Rat $ | |||
Ox $ | |||
Tiger $ | |||
Rabbit $ | |||
Dragon $ | |||
Snake $ | |||
Horse $ | |||
Goat $ | |||
Monkey $ | |||
Rooster $ | |||
Dog $ | |||
Pig $ | |||
}} | |||
== Scales == | == Scales == | ||
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== Scale tree == | == Scale tree == | ||
{{ | {{MOS tuning spectrum | ||
5/4 | | 6/5 = [[Photia]], ↑ [[grackle]]; | ||
9/7 | | 5/4 = [[Helmholtz]], [[Pythagorean tuning]] (701.955{{c}); | ||
4/3 | | 9/7 = [[Garibaldi]] / [[cassandra]] | ||
11/8 | | 4/3 = Garibaldi / [[andromeda]] | ||
10/7 | | 11/8 = [[Kwai]] | ||
3/2 | | 10/7 = [[Undecental]], argent tuning (702.944{{c}); | ||
13/8 | | 3/2 = [[Edson]] | ||
5/3 | | 13/8 = [[Polypyth]], golden neogothic (704.096{{c}); | ||
12/7 | | 5/3 = [[Leapday]] | ||
7/3 | | 12/7 = [[Leapweek]] | ||
13/5 | | 7/3 = [[Supra]] | ||
8/3 | | 13/5 = Golden supra (708.054{{c}); | ||
3/1 | | 8/3 = [[Quasisuper]] / [[quasisupra]] | ||
7/2 | | 3/1 = [[Suprapyth]] | ||
6/1 | | 7/2 = [[Superpyth]] | ||
| 6/1 = ↓ [[Oceanfront]] / [[ultrapyth]] | |||
}} | }} | ||
[[Category:12-tone scales]] | [[Category:12-tone scales]] | ||
[[Category:P-chromatic| ]]<!-- main article --> | [[Category:P-chromatic| ]]<!-- main article --> | ||
[[Category:Chromatic scales]] | [[Category:Chromatic scales]] | ||