Millioctave: Difference between revisions

(6 intermediate revisions by 4 users not shown)

Line 1:

The '''millioctave''' ('''moct''') is a ~~logarithmic~~ [[interval size ~~measure~~]]~~. It~~ divides the octave (2/1) into 1000 logarithmically equal parts. So, the millioctave can be defined as a frequency ratio of the 1000th root of 2, or 2^0.001. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[wikipedia:International System of Units|SI units]], have led some ethnomusicologists and 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.

The '''millioctave''' ('''moct''') is a [[unit of interval size]] that divides the [[octave]] (2/1) into [[1000edo|1000 logarithmically equal parts]]. So, the millioctave can be defined as a frequency ratio of the 1000th root of 2, or 2<sup>0.001</sup>. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[wikipedia:International System of Units|SI units]], have led some ethnomusicologists and 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.

== History ==

Line 13:

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

[[~~Category:Absolute measure~~]]

== External links ==

[[Category:Interval size ~~measure~~]]

* [http://tonalsoft.com/enc/m/millioctave.aspx millioctave / m8ve / μ8ve / moct / μoct] on [[Tonalsoft Encyclopedia]] (includes a ratio-to-millioctaves calculator)

[[Category:~~Logarithmic measure~~]]

[[Category:~~Unit~~]]

[[Category:Interval size measures]]

[[Category:Terms]]

[[Category:1000edo]]

@@ Line 1: / Line 1: @@
 {{Wikipedia}}
-The '''millioctave''' ('''moct''') is a logarithmic [[interval size measure]]. It divides the octave (2/1) into 1000 logarithmically equal parts. So, the millioctave can be defined as a frequency ratio of the 1000th root of 2, or 2^0.001. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[wikipedia:International System of Units|SI units]], have led some ethnomusicologists and 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.
+The '''millioctave''' ('''moct''') is a [[unit of interval size]] that divides the [[octave]] (2/1) into [[1000edo|1000 logarithmically equal parts]]. So, the millioctave can be defined as a frequency ratio of the 1000th root of 2, or 2<sup>0.001</sup>. Its independence from the "classical"/"standard" [[12edo]] tuning, and its similarity to other metric/[[wikipedia:International System of Units|SI units]], have led some ethnomusicologists and 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.
 == History ==
@@ Line 13: / Line 13: @@
 * 1 moct is equal to exactly 1.2 cents. Conversely, 1 cent is equal to exactly 5/6 or ~0.8333 moct.
-[[Category:Absolute measure]]
+== External links ==
-[[Category:Interval size measure]]
+* [http://tonalsoft.com/enc/m/millioctave.aspx millioctave / m8ve / μ8ve / moct / μoct] on [[Tonalsoft Encyclopedia]] (includes a ratio-to-millioctaves calculator)
-[[Category:Logarithmic measure]]
-[[Category:Unit]]
+[[Category:Interval size measures]]
+[[Category:Terms]]
+[[Category:1000edo]]