Harmonics 8–16: Difference between revisions

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~~'''8ado''' ([[ADO~~|~~arithmetic division of the octave]]), or '''8odo''' ([[otonal division]] of the octave), divides the octave into eight parts of 1/~~8 ~~each. As a scale~~ it may be known as [[Harmonic mode|mode 8 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-8]] scale. Because 8 is a power of 2, 8ado corresponds to the 8th to 16th harmonics octave-reduced. 8ado is a highly effective scale and contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].

{{Harmonics intro|8}} Above its root it contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].

The [[otonal heptad]] can be obtained by removing harmonic 15.

The smallest [[edo]] that maintains 25% or lower relative error on all intervals of this scale is [[87edo]].

== Intervals ==

{| class="wikitable center-all"

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|}

[[~~Category~~:~~ADO~~]]

== Scales ==

{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him.}}

* 8:9:10:12:13:16 Metamorphic

* 8:9:10:12:14:16 [[Otonalpentad]] (aka "rotated [[Harmonics 5–10]]", aka "springwater")

* 8:9:10:12:15:16 Ionosphere

* 8:9:11:12:13:16 Upwelling (clashes with some timbres, be careful with instrumentation)

* 8:9:11:12:14:16 Undercurrent

* 8:10:11:12:14:16 Ultraviolet

== Music ==

; [[Dante Rosati]]

* [https://www.youtube.com/watch?v=FlwN7qSGz9U ''Paracelsus for Diatonic Harmonic Guitar'']

* [https://www.youtube.com/watch?v=U6ElPRoIZak ''No Snow for Diatonic Harmonic Guitar'']

== See also ==

* [[Harmonics 16–32]]

* [[Harmonics 32–64]]

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-{{Infobox ADO|steps=8}}
+{{Infobox harmonics|8}}
-'''8ado''' ([[ADO|arithmetic division of the octave]]), or '''8odo''' ([[otonal division]] of the octave), divides the octave into eight parts of 1/8 each. As a scale it may be known as [[Harmonic mode|mode 8 of the harmonic series]] or the [[Overtone_scale#Over-n_scales|Over-8]] scale. Because 8 is a power of 2, 8ado corresponds to the 8th to 16th harmonics octave-reduced.  8ado is a highly effective scale and contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].
+{{Harmonics intro|8}} Above its root it contains many commonly-used intervals such as [[9/8]], [[5/4]], [[3/2]], [[7/4]], [[15/8]], and [[2/1]].
+The [[otonal heptad]] can be obtained by removing harmonic 15.
+The smallest [[edo]] that maintains 25% or lower relative error on all intervals of this scale is [[87edo]].
 == Intervals ==
 {| class="wikitable center-all"
@@ Line 74: / Line 79: @@
 |}
-[[Category:ADO]]
+== Scales ==
+{{Idiosyncratic terms|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him.}}
+* 8:9:10:12:13:16 Metamorphic
+* 8:9:10:12:14:16 [[Otonalpentad]] (aka "rotated [[Harmonics 5–10]]", aka "springwater")
+* 8:9:10:12:15:16 Ionosphere
+* 8:9:11:12:13:16 Upwelling (clashes with some timbres, be careful with instrumentation)
+* 8:9:11:12:14:16 Undercurrent
+* 8:10:11:12:14:16 Ultraviolet
+== Music ==
+; [[Dante Rosati]]
+* [https://www.youtube.com/watch?v=FlwN7qSGz9U ''Paracelsus for Diatonic Harmonic Guitar'']
+* [https://www.youtube.com/watch?v=U6ElPRoIZak ''No Snow for Diatonic Harmonic Guitar'']
+== See also ==
+* [[Harmonics 16–32]]
+* [[Harmonics 32–64]]
+{{Navbox harmonics}}