Qian's large comma: Difference between revisions
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== See also == | == See also == | ||
* [[Qian's small comma]] | * [[Qian's small comma]] | ||
* [[Satanic comma]] (aka. 665-comma) | * [[Satanic comma]] (aka. 665-comma, via 306 + 359 = 665) | ||
== Notes == | == Notes == | ||
[[Category:Commas named after polymaths]] | [[Category:Commas named after polymaths]] | ||
Latest revision as of 15:29, 4 April 2026
| Interval information |
359-comma
reduced harmonic
Qian's large comma, or the 359-comma, is an unnoticeable 3-limit comma with a monzo of [-569 359⟩ and a size of 1.845 cents. It is the amount by which 359 perfect fifths exceed 210 octaves, in other words (3/2)359/2210. It is also the amount by which a Mercator's comma exceeds a Qian's small comma.
Temperaments
This comma is tempered out in 359edo and any edo that is divisible by 359 and has its best perfect fifth as the same perfect fifth in 359edo (718edo, 1077edo, 1436edo, etc).
Etymology
According to a 2009 paper by Chen Yingshi, this comma as well as the 306-comma was discovered by the ancient Chinese theorist Qian Lezhi (Simplified Chinese: 钱乐之, 390–462, also romanized as Ch'ien Lo-chih), hence the name[1]. In Qian's 360-tone tuning, this comma can be described as the interval between Huangzhong (黄钟) and Anyun (安运).
See also
- Qian's small comma
- Satanic comma (aka. 665-comma, via 306 + 359 = 665)
Notes
- ↑ Chen Yingshi. "Three Kinds of Tone Difference in 'Qian's 360 temperament'", Journal of Nanjing Arts Institute (Music & Performance), 2009. CNKI (simplified Chinese) archive