2601/2600: Difference between revisions
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Created page with "{{Infobox Interval | Ratio = 2601/2600 | Monzo = -3 2 -2 0 0 -1 2 | Cents = 0.66573 | Name = septendecimal sixth-tones comma | Color name = | Sound = }} '''2601/2600''' is a..." |
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'''2601/2600''' is a [[17-limit]] (also 2.3.5.13.17 subgroup) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s. | '''2601/2600''' is a [[17-limit]] (also 2.3.5.13.17 subgroup) [[superparticular]] [[comma]] measuring about 0.67 [[cent]]s. It may be properly described as the ''septendecimal sixth-tones comma'', since it is the difference between [[51/50]] and [[52/51]], the two 17-limit sixth-tones. Another prominent identity is the little gap between [[18/13]] and a stack of two [[20/17]]'s. | ||
In terms of commas, it is the difference between [[289/288]] and [[325/324]] | In terms of commas, it is the difference between the following pairs: | ||
* [[289/288]] and [[325/324]] | |||
* [[561/560]] and [[715/714]] | |||
* [[833/832]] and [[1225/1224]] | |||
* [[1156/1155]] and [[2080/2079]] | |||
* [[1275/1274]] and [[2500/2499]] | |||
* [[1701/1700]] and [[4914/4913]] | |||
* [[2401/2400]] and [[31213/31212]] | |||
== Temperaments == | == Temperaments == | ||
Revision as of 19:18, 1 November 2021
| Interval information |
reduced
2601/2600 is a 17-limit (also 2.3.5.13.17 subgroup) superparticular comma measuring about 0.67 cents. It may be properly described as the septendecimal sixth-tones comma, since it is the difference between 51/50 and 52/51, the two 17-limit sixth-tones. Another prominent identity is the little gap between 18/13 and a stack of two 20/17's.
In terms of commas, it is the difference between the following pairs:
- 289/288 and 325/324
- 561/560 and 715/714
- 833/832 and 1225/1224
- 1156/1155 and 2080/2079
- 1275/1274 and 2500/2499
- 1701/1700 and 4914/4913
- 2401/2400 and 31213/31212
Temperaments
Tempering out this comma results in 26/25 being split into two equal parts, each representing 51/50~52/51, and enables the related essentially tempered chords.