5832/5831: Difference between revisions
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'''5832/5831''', the '''chlorisma''', is an [[unnoticeable comma|exceptionally small]] [[17-limit]] (also 2.3.7.17-[[subgroup]]) [[unnoticeable comma]] of about 0.297 [[cent]]s. It is the difference between [[18/17]] and [[343/324]], and the difference between a stack of three [[9/7]]'s and [[17/8]]. | |||
'''5832/5831''', the '''chlorisma''', is an exceptionally small [[17-limit]] (also 2.3.7.17 [[subgroup]]) [[unnoticeable comma]] of | |||
In [[Sagittal notation]], this is the default comma represented by two [[tina]]s. | In [[Sagittal notation]], this is the default comma represented by two [[tina]]s. | ||
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== Commatic relations == | == Commatic relations == | ||
In terms of commas, it is the difference between the following superparticular pairs: | In terms of commas, it is the difference between the following superparticular pairs: | ||
* [[540/539]] and [[595/594]] | * [[540/539]] and [[595/594]] | ||
* [[729/728]] and [[833/832]] | * [[729/728]] and [[833/832]] | ||
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It factors into the following superparticular pair: | It factors into the following superparticular pair: | ||
* [[9801/9800]] and [[14400/14399]] | * [[9801/9800]] and [[14400/14399]] | ||
== Temperaments == | == Temperaments == | ||
Tempering out this comma in the 17-limit results in the rank-6 '''chlorismic | [[Tempering out]] this comma in the 17-limit results in the rank-6 '''chlorismic''' temperament, or in the 2.3.7.17 subgroup, the rank-3 '''chloric''' temperament. In either case it equates a stack of three [[9/7]] supermajor thirds with [[17/8]], the 17th harmonic minus three octaves. [[80edo]] represents both 9/7 and 17/8 within 0.1 cents, so it and many [[80th-octave temperaments]] temper out the chlorisma. | ||
== Etymology == | == Etymology == | ||
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== See also == | == See also == | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Chlorismic]] | [[Category:Chlorismic]] | ||
[[Category:Commas with unknown etymology]] | [[Category:Commas with unknown etymology]] | ||
Revision as of 07:54, 29 March 2026
| Interval information |
3rd, Sutriru comma
reduced
5832/5831, the chlorisma, is an exceptionally small 17-limit (also 2.3.7.17-subgroup) unnoticeable comma of about 0.297 cents. It is the difference between 18/17 and 343/324, and the difference between a stack of three 9/7's and 17/8.
In Sagittal notation, this is the default comma represented by two tinas.
Commatic relations
In terms of commas, it is the difference between the following superparticular pairs:
- 540/539 and 595/594
- 729/728 and 833/832
- 1701/1700 and 2401/2400
- 1716/1715 and 2431/2430
- 4914/4913 and 31213/31212
It factors into the following superparticular pair:
- 9801/9800 and 14400/14399
Temperaments
Tempering out this comma in the 17-limit results in the rank-6 chlorismic temperament, or in the 2.3.7.17 subgroup, the rank-3 chloric temperament. In either case it equates a stack of three 9/7 supermajor thirds with 17/8, the 17th harmonic minus three octaves. 80edo represents both 9/7 and 17/8 within 0.1 cents, so it and many 80th-octave temperaments temper out the chlorisma.
Etymology
The chlorisma was named by Jerdle in 2021. Despite the similar name, it has no relation to the previously-named chlorine temperament.