Harmonics 8–16: Difference between revisions
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{{Infobox | {{Infobox harmonics|8}} | ||
{{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 == | == Intervals == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 18: | Line 23: | ||
|- | |- | ||
| 1 | | 1 | ||
| 203. | | 203.91 | ||
| [[9/8]] | | [[9/8]] | ||
| 1.1250 | | 1.1250 | ||
| | | whole tone | ||
| [[File:Jid_9_8_pluck_adu_dr220.mp3]] | | [[File:Jid_9_8_pluck_adu_dr220.mp3]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 386. | | 386.31 | ||
| [[5/4]] | | [[5/4]] | ||
| 1.2500 | | 1.2500 | ||
| Line 32: | Line 37: | ||
|- | |- | ||
| 3 | | 3 | ||
| 551. | | 551.32 | ||
| [[11/8]] | | [[11/8]] | ||
| 1.3750 | | 1.3750 | ||
| Line 39: | Line 44: | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 701.96 | ||
| [[3/2]] | | [[3/2]] | ||
| 1.5000 | | 1.5000 | ||
| Line 46: | Line 51: | ||
|- | |- | ||
| 5 | | 5 | ||
| 840. | | 840.53 | ||
| [[13/8]] | | [[13/8]] | ||
| 1.6250 | | 1.6250 | ||
| Line 53: | Line 58: | ||
|- | |- | ||
| 6 | | 6 | ||
| 968. | | 968.83 | ||
| [[7/4]] | | [[7/4]] | ||
| 1.7500 | | 1.7500 | ||
| Line 60: | Line 65: | ||
|- | |- | ||
| 7 | | 7 | ||
| 1088. | | 1088.27 | ||
| [[15/8]] | | [[15/8]] | ||
| 1.8750 | | 1.8750 | ||
| Line 67: | Line 72: | ||
|- | |- | ||
| 8 | | 8 | ||
| 1200. | | 1200.00 | ||
| [[2/1]] | | [[2/1]] | ||
| 2.0000 | | 2.0000 | ||
| Line 74: | Line 79: | ||
|} | |} | ||
[[ | == 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}} | |||