2601/2600: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = sextantonisma | ||
| Color name = 17oo3ugg2, sosothugugu 2nd,<br>Sosothugugu comma | | Color name = 17oo3ugg2, sosothugugu 2nd,<br>Sosothugugu comma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''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''', the '''sextantonisma''', 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. | ||
== Commatic relations == | |||
In terms of commas, it is the difference between the following pairs: | In terms of commas, it is the difference between the following pairs: | ||
* [[289/288]] and [[325/324]] | * [[289/288]] and [[325/324]] | ||
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== Temperaments == | == Temperaments == | ||
Tempering out this comma results in [[26/25]] | Tempering out this comma in the 17-limit results in the rank-6 '''sextantonismic temperament''', or in the 2.3.5.13.17 subgroup, the rank-4 '''sextantonic temperament'''. In either case [[26/25]] is split into two equal parts, each representing 51/50~52/51, and enables the [[sextantonismic chords]]. | ||
== Etymology == | |||
The sextantonisma was named by [[Flora Canou]] in 2023. It is a contraction of ''septendecimal sixth-tones comma'' into a single word consisting of Latin ''sextans'' ("sixth") and ''tonus'' ("tone"). | |||
== See also == | == See also == | ||
* [[Unnoticeable comma]] | * [[Unnoticeable comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Sextantonismic]] | |||
Revision as of 09:58, 23 February 2023
| Interval information |
Sosothugugu comma
reduced
2601/2600, the sextantonisma, 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.
Commatic relations
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 in the 17-limit results in the rank-6 sextantonismic temperament, or in the 2.3.5.13.17 subgroup, the rank-4 sextantonic temperament. In either case 26/25 is split into two equal parts, each representing 51/50~52/51, and enables the sextantonismic chords.
Etymology
The sextantonisma was named by Flora Canou in 2023. It is a contraction of septendecimal sixth-tones comma into a single word consisting of Latin sextans ("sixth") and tonus ("tone").