1445/1444: Difference between revisions
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{{Infobox Interval | |||
| Name = aureusma | |||
| Color name = 19uu17ooy1, nunusosoyo unison | |||
| Comma = yes | |||
}} | |||
'''1445/1444''', the '''aureusma''', is a [[19-limit]] (also 2.5.17.19 [[subgroup]]) [[unnoticeable comma]] measuring about 1.20 [[cent]]s. It is the difference between [[5/4]] and a stack of two [[19/17]]'s. It is also the difference between [[153/152]] and [[171/170]]. | |||
== Commatic relations == | |||
This comma is the difference between the following superparticular pairs: | |||
* [[153/152]] and [[171/170]] | |||
* [[1156/1155]] and [[5776/5775]] | |||
* [[1275/1274]] and [[10830/10829]] | |||
It factors into the following superparticular pairs: | |||
* [[2601/2600]] and [[3250/3249]] | |||
* [[1540/1539]] and [[23409/23408]] | |||
* [[1521/1520]] and [[28900/28899]] | |||
== Temperaments == | |||
Tempering out this comma in the 19-limit leads to the rank-7 '''aureusmic temperament''', or in the 2.5.17.19 subgroup, the rank-3 '''aureus temperament'''. In either case it results in 5/4 being split into two 19/17's, and enables the essentially tempered [[aureusmic chords]]. | |||
== Etymology == | |||
The aureusma was named by [[Flora Canou]] in 2021. It comes from Latin ''[[Wiktionary: aureus #Latin|aureus]]'' ("golden"), for its possible association with [[golden meantone]]. | |||
== See also == | |||
* [[Unnoticeable comma]] | |||
* [[List of superparticular intervals]] | |||
[[Category:Aureusmic]] | |||
[[Category:Commas named by translating something into another language]] | |||
Latest revision as of 02:17, 16 November 2024
| Interval information |
reduced
1445/1444, the aureusma, is a 19-limit (also 2.5.17.19 subgroup) unnoticeable comma measuring about 1.20 cents. It is the difference between 5/4 and a stack of two 19/17's. It is also the difference between 153/152 and 171/170.
Commatic relations
This comma is the difference between the following superparticular pairs:
It factors into the following superparticular pairs:
- 2601/2600 and 3250/3249
- 1540/1539 and 23409/23408
- 1521/1520 and 28900/28899
Temperaments
Tempering out this comma in the 19-limit leads to the rank-7 aureusmic temperament, or in the 2.5.17.19 subgroup, the rank-3 aureus temperament. In either case it results in 5/4 being split into two 19/17's, and enables the essentially tempered aureusmic chords.
Etymology
The aureusma was named by Flora Canou in 2021. It comes from Latin aureus ("golden"), for its possible association with golden meantone.