User:CompactStar/Overtone scale: Difference between revisions

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An '''overtone scale''' is an octave-long subset of the [[harmonic series]] repeating at the octave. ~~Alternative terms for overtone scale include~~ '''~~ADO~~''' (arithmetic divisions of the octave) due to an overtone scale being an arithmetically equal division of the octave, and '''ODO''' ([[otonal division]]s of the octave).

An '''overtone scale''' is an octave-long subset of the [[harmonic series]] repeating at the octave. It is also known as an '''AFDO''' (arithmetic frequency divisions of the octave) due to an overtone scale being an arithmetically equal division of the octave, and '''ODO''' ([[otonal division]]s of the octave).

An overtone scale with n notes maybe referred to as mode n of the [[harmonic series]] or n-~~ADO~~. For example, [[Mode 5]] is a pentatonic scale with the intervals [[1/1]]-[[6/5]]-[[7/5]]-[[8/5]]-[[9/5]]-[[2/1]] or the 5th to 10th harmonics:

An overtone scale with n notes maybe referred to as mode n of the [[harmonic series]] or n-AFDO. For example, [[Mode 5]] is a pentatonic scale with the intervals [[1/1]]-[[6/5]]-[[7/5]]-[[8/5]]-[[9/5]]-[[2/1]] or the 5th to 10th harmonics:

{| class="wikitable"

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R_n = R_1 + (n-1)d

</math>

== Over-n scales ==

Another way to describe Mode 5 is that it is an example of an "Over-5 Scale." As 5 is octave-redundant with 10, 20, 40, 80 etc, any scale with one of those (the form is technically 2<sup>n</sup>*5, where n is any integer greater than or equal to zero) in the denominator of every tone could be called an Over-5 Scale.

== Lengths ==

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| '''sol'''

|}

== ~~List of~~ overtone scales ==

== Individual pages for overtone scales ==

* [[Mode 2]]

* [[Mode 3]]

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-An '''overtone scale''' is an octave-long subset of the [[harmonic series]] repeating at the octave. Alternative terms for overtone scale include '''ADO''' (arithmetic divisions of the octave) due to an overtone scale being an arithmetically equal division of the octave, and '''ODO''' ([[otonal division]]s of the octave).
+An '''overtone scale''' is an octave-long subset of the [[harmonic series]] repeating at the octave. It is also known as an '''AFDO''' (arithmetic frequency divisions of the octave) due to an overtone scale being an arithmetically equal division of the octave, and '''ODO''' ([[otonal division]]s of the octave).
-An overtone scale with n notes maybe referred to as mode n of the [[harmonic series]] or n-ADO. For example, [[Mode 5]] is a pentatonic scale with the intervals [[1/1]]-[[6/5]]-[[7/5]]-[[8/5]]-[[9/5]]-[[2/1]] or the 5th to 10th harmonics:
+An overtone scale with n notes maybe referred to as mode n of the [[harmonic series]] or n-AFDO. For example, [[Mode 5]] is a pentatonic scale with the intervals [[1/1]]-[[6/5]]-[[7/5]]-[[8/5]]-[[9/5]]-[[2/1]] or the 5th to 10th harmonics:
 {| class="wikitable"
@@ Line 35: / Line 35: @@
 R_n = R_1 + (n-1)d
 </math>
+== Over-n scales ==
+Another way to describe Mode 5 is that it is an example of an "Over-5 Scale." As 5 is octave-redundant with 10, 20, 40, 80 etc, any scale with one of those (the form is technically 2<sup>n</sup>*5, where n is any integer greater than or equal to zero) in the denominator of every tone could be called an Over-5 Scale.
 == Lengths ==
@@ Line 480: / Line 484: @@
 | '''sol'''
 |}
-== List of overtone scales ==
+== Individual pages for overtone scales ==
 * [[Mode 2]]
 * [[Mode 3]]