1575/1573: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
Expand, + regularly derived name for the subgroup temp |
||
| Line 4: | Line 4: | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1575/1573''', the '''nicola''', is an [[unnoticeable comma|unnoticeable]] no-2's [[13-limit]] [[comma]] measuring about 2.20 [[cent]]s. It separates a stack of two instances of [[15/11]] from [[13/7]]. | |||
== Commatic relations == | |||
This comma is the difference between the following [[superparticular]] commas: | |||
* [[105/104]] and [[121/120]] | |||
* [[144/143]] and [[176/175]] | |||
* [[243/242]] and [[351/350]] | |||
* [[364/363]] and [[676/675]] | |||
* [[441/440]] and [[1001/1000]] | |||
* [[540/539]] and [[1716/1715]] | |||
* [[729/728]] and [[9801/9800]] | |||
== | == Temperaments == | ||
[[Tempering out]] this comma in the full 13-limit leads to the rank-5 '''nicolic''' temperament, or in the 3.5.7.11.13 subgroup, the rank-4 '''nicolan''' temperament, in either case enabling [[nicolic chords]]. | |||
[[Category:Nicolic]] | [[Category:Nicolic]] | ||
[[Category:Commas with unknown etymology]] | [[Category:Commas with unknown etymology]] | ||
Latest revision as of 08:47, 10 October 2026
| Interval information |
1575/1573, the nicola, is an unnoticeable no-2's 13-limit comma measuring about 2.20 cents. It separates a stack of two instances of 15/11 from 13/7.
Commatic relations
This comma is the difference between the following superparticular commas:
- 105/104 and 121/120
- 144/143 and 176/175
- 243/242 and 351/350
- 364/363 and 676/675
- 441/440 and 1001/1000
- 540/539 and 1716/1715
- 729/728 and 9801/9800
Temperaments
Tempering out this comma in the full 13-limit leads to the rank-5 nicolic temperament, or in the 3.5.7.11.13 subgroup, the rank-4 nicolan temperament, in either case enabling nicolic chords.