Millioctave: Difference between revisions

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The '''millioctave''' ('''mO''') is a logarithmic [[~~Interval_size_measure|~~interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[~~12edo|~~12edo]] tuning, and its similarity to other metric/[http://en.wikipedia.org/wiki/International_System_of_Units SI] units, have led some microtonalists to prefer it over similar measures such as [[~~cents|~~cents]]. However, others note that it naturally favors [[~~10edo|~~10edo]] and its multiples, just as cents favor 12edo and its multiples.

The '''millioctave''' ('''mO''') is a logarithmic [[interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[http://en.wikipedia.org/wiki/International_System_of_Units SI] units, have led some microtonalists to prefer it over similar measures such as [[cents]]. However, others note that it naturally favors [[10edo]] and its multiples, just as cents favor 12edo and its multiples.

When comparing the approximations of [[~~just_intervals|~~just ~~intervals~~]] between different systems, mO values can be used equally well as [[~~cent|~~cent]] values. Also the absolute size of [[~~Comma|~~comma]]s can be given in millioctave steps.

When comparing the approximations of [[just interval]]s between different systems, mO values can be used equally well as [[cent]] values. Also the absolute size of [[comma]]s can be given in millioctave steps.

1 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001.

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1 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO.

==~~Links~~==

== External links ==

~~[http://en.wikipedia.org/wiki/Millioctave http://en.wikipedia.org/wiki/Millioctave]~~

~~Other~~ [~~[Interval_size_measure|interval size measure~~]]s

* [http://en.wikipedia.org/wiki/Millioctave http://en.wikipedia.org/wiki/Millioctave]

~~[[Category:absolute_measure]]~~

[[Category:~~interval~~]]

[[Category:Absolute measure]]

[[Category:~~interval_measure~~]]

[[Category:Interval size measure]]

[[Category:~~logarithmic_measure~~]]

[[Category:Logarithmic measure]]

[[Category:~~measure~~]]

[[Category:Measure]]

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-The '''millioctave''' ('''mO''') is a logarithmic [[Interval_size_measure|interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[12edo|12edo]] tuning, and its similarity to other metric/[http://en.wikipedia.org/wiki/International_System_of_Units SI] units, have led some microtonalists to prefer it over similar measures such as [[cents|cents]]. However, others note that it naturally favors [[10edo|10edo]] and its multiples, just as cents favor 12edo and its multiples.
+The '''millioctave''' ('''mO''') is a logarithmic [[interval size measure]]. which divides the octave (2/1) into 1000 logarithmically equal parts. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[http://en.wikipedia.org/wiki/International_System_of_Units SI] units, have led some microtonalists to prefer it over similar measures such as [[cents]]. However, others note that it naturally favors [[10edo]] and its multiples, just as cents favor 12edo and its multiples.
-When comparing the approximations of [[just_intervals|just intervals]] between different systems, mO values can be used equally well as [[cent|cent]] values. Also the absolute size of [[Comma|comma]]s can be given in millioctave steps.
+When comparing the approximations of [[just interval]]s between different systems, mO values can be used equally well as [[cent]] values. Also the absolute size of [[comma]]s can be given in millioctave steps.
 millioctave may be defined as a frequency ratio of the 1000th root of 2, or 2^0.001.
@@ Line 11: / Line 11: @@
 mO is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 mO.
-==Links==
+== External links ==
-[http://en.wikipedia.org/wiki/Millioctave http://en.wikipedia.org/wiki/Millioctave]
-Other [[Interval_size_measure|interval size measure]]s
+* [http://en.wikipedia.org/wiki/Millioctave http://en.wikipedia.org/wiki/Millioctave]
-[[Category:absolute_measure]]
-[[Category:interval]]
+[[Category:Absolute measure]]
-[[Category:interval_measure]]
+[[Category:Interval size measure]]
-[[Category:logarithmic_measure]]
+[[Category:Logarithmic measure]]
-[[Category:measure]]
+[[Category:Measure]]