170/169: Difference between revisions

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'''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 ==

* [[Small comma]]

* [[List of superparticular intervals]]

@@ 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).
-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 ==
 * [[Small comma]]
 * [[List of superparticular intervals]]