170/169: Difference between revisions
No edit summary |
thought it is notable that 169/168 and 170/169 are both near one step of 118et |
||
| Line 7: | Line 7: | ||
'''170/169''', the '''major naiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 10.2 [[cent]]s in size. It forms the difference between [[13/10]] (tridecimal semisixth) and [[17/13]] (large septendecimal semisixth). It is also the amount by which a stack of two 13/10s falls short of [[17/10]] (septendecimal major sixth). The name ''major naiadma'' is contrast to the ''minor naiadma'', [[221/220]], measuring about 7.9¢, which is the difference between 13/10 and [[22/17]] (small septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic [[interseptimal interval]]s, and 170/169 is larger than 221/220 by a [[13-limit]] [[unnoticeable comma]], [[2200/2197]] (petrma). | '''170/169''', the '''major naiadma''', is a [[small comma|small]] [[17-limit]] [[superparticular]] comma about 10.2 [[cent]]s in size. It forms the difference between [[13/10]] (tridecimal semisixth) and [[17/13]] (large septendecimal semisixth). It is also the amount by which a stack of two 13/10s falls short of [[17/10]] (septendecimal major sixth). The name ''major naiadma'' is contrast to the ''minor naiadma'', [[221/220]], measuring about 7.9¢, which is the difference between 13/10 and [[22/17]] (small septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic [[interseptimal interval]]s, and 170/169 is larger than 221/220 by a [[13-limit]] [[unnoticeable comma]], [[2200/2197]] (petrma). | ||
It is close to one step of [[118edo]] and is tempered as such in the 118th-octave [[oganesson]] temperament. | It is close to one step of [[118edo]] and is tempered as such in the 118th-octave [[oganesson]] temperament, along with [[169/168]], from which it differs by [[28561/28560]]. | ||
== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
Revision as of 22:04, 28 May 2023
| Interval information |
Sothuthuyo comma
reduced
170/169, the major naiadma, is a small 17-limit superparticular comma about 10.2 cents in size. It forms the difference between 13/10 (tridecimal semisixth) and 17/13 (large septendecimal semisixth). It is also the amount by which a stack of two 13/10s falls short of 17/10 (septendecimal major sixth). The name major naiadma is contrast to the minor naiadma, 221/220, measuring about 7.9¢, which is the difference between 13/10 and 22/17 (small septendecimal semisixth). They are so named because 13/10, 17/13 and 22/17 are naiadic interseptimal intervals, and 170/169 is larger than 221/220 by a 13-limit unnoticeable comma, 2200/2197 (petrma).
It is close to one step of 118edo and is tempered as such in the 118th-octave oganesson temperament, along with 169/168, from which it differs by 28561/28560.