Olympia: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 131072/130977 | Monzo = 17 -5 0 -2 -1 | Cents = 1.25524 | Name = olympia | Color name = salururu unison, s1urr1 | FJS name = | Sound =..." |
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== Temperaments == | == Temperaments == | ||
Tempering out this comma in the full 11-limit results in the rank-4 '''olympic temperament''', with a very natural 13-limit extension {2080/2079, 4096/4095}. | Tempering out this comma in the full 11-limit results in the rank-4 '''olympic temperament''' , with a very natural 13-limit extension {2080/2079, 4096/4095} (→[[Rank-4 temperament #Olympic (131072/130977)]]). | ||
== See also == | == See also == | ||
Revision as of 13:13, 2 September 2021
| Interval information |
reduced subharmonic
The olympia (monzo: [17 -5 0 -2 -1⟩, ratio: 131072/130977) is an 11-limit (also 2.3.7.11 subgroup) unnoticeable comma measuring about 1.26 cents. It is the difference between the undecimal quartertone (33/32) and a stack of two septimal commas (64/63). Even more interesting is the possible factorization into two 13-limit superparticular ratios: 2080/2079 × 4096/4095. In fact, the olympia is the default interval represented by three minas in the Olympian level of Sagittal notation, from which it gets its name.
Temperaments
Tempering out this comma in the full 11-limit results in the rank-4 olympic temperament , with a very natural 13-limit extension {2080/2079, 4096/4095} (→Rank-4 temperament #Olympic (131072/130977)).