221/220: Difference between revisions
Jump to navigation
Jump to search
Created page with "{{Infobox Interval | Name = minor naiadma | Color name = 17o3o1ug2, Sotholugu 2nd <br>Sotholugu comma | Comma = yes }} '''221/220''', the '''minor naiadma''', is a small co..." |
No edit summary |
||
| Line 5: | Line 5: | ||
}} | }} | ||
'''221/220''', the '''minor naiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 7.9 [[cent]]s in size. It forms the difference between [[13/10]] (tridecimal semisixth) and [[22/17]] (small septendecimal semisixth). It is also the amount by which | '''221/220''', the '''minor naiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 7.9 [[cent]]s in size. It forms the difference between [[13/10]] (tridecimal semisixth) and [[22/17]] (small septendecimal semisixth). It is also the amount by which a stack consisting of 13/10 and [[17/10]] exceeds [[11/5]] ([[11/10]] plus an octave). The name ''minor naiadma'' is contrast to the ''major naiadma'', [[170/169]], measuring about 10.2¢, which is the difference between 13/10 and [[17/13]] (large septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic [[interseptimal interval]]s, and 221/220 is smaller than 170/169 by a [[13-limit]] [[unnoticeable comma]], [[2200/2197]] (petrma). | ||
== Commatic relations == | |||
This comma identifies itself as the difference between the following superparticular pairs: | |||
* [[34/33]] and [[40/39]] | |||
* [[51/50]] and [[66/65]] | |||
* [[78/77]] and [[120/119]] | |||
* [[91/90]] and [[154/153]] | |||
* [[136/135]] and [[352/351]] | |||
* [[169/168]] and [[715/714]] | |||
It factors into the following superparticular pairs: | |||
* [[225/224]] and [[Flashma|12376/12375]] | |||
* [[243/242]] and [[2431/2430]] | |||
* [[273/272]] and [[1156/1155]] | |||
* [[289/288]] and [[936/935]] | |||
* [[351/350]] and [[595/594]] | |||
* [[364/363]] and [[561/560]] | |||
* [[441/440]] and [[442/441]] | |||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
Revision as of 12:05, 20 July 2023
| Interval information |
Sotholugu comma
reduced
221/220, the minor naiadma, is a small 17-limit superparticular comma about 7.9 cents in size. It forms the difference between 13/10 (tridecimal semisixth) and 22/17 (small septendecimal semisixth). It is also the amount by which a stack consisting of 13/10 and 17/10 exceeds 11/5 (11/10 plus an octave). The name minor naiadma is contrast to the major naiadma, 170/169, measuring about 10.2¢, which is the difference between 13/10 and 17/13 (large septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic interseptimal intervals, and 221/220 is smaller than 170/169 by a 13-limit unnoticeable comma, 2200/2197 (petrma).
Commatic relations
This comma identifies itself as the difference between the following superparticular pairs:
- 34/33 and 40/39
- 51/50 and 66/65
- 78/77 and 120/119
- 91/90 and 154/153
- 136/135 and 352/351
- 169/168 and 715/714
It factors into the following superparticular pairs:
- 225/224 and 12376/12375
- 243/242 and 2431/2430
- 273/272 and 1156/1155
- 289/288 and 936/935
- 351/350 and 595/594
- 364/363 and 561/560
- 441/440 and 442/441