9edf: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ED intro}} | |||
{{ | |||
== Theory == | |||
9edf corresponds to 15.391524edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the 3/2.5/4.7/8.11/8 subgroup. | |||
=== Harmonics === | |||
{{Harmonics in equal|9|3|2|columns=11}} | |||
{{Harmonics in equal|9|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 9edf (continued)}} | |||
== Intervals == | == Intervals == | ||
{|class="wikitable" | {|class="wikitable center-1 right-2" | ||
|- | |- | ||
!# | ! # | ||
!Cents | ! Cents | ||
!Approximate ratios | ! Approximate ratios | ||
![[1L 3s (fifth-equivalent)|Neptunian]] notation using 7\9edf | ! [[1L 3s (fifth-equivalent)|Neptunian]] notation<br>using 7\9edf | ||
|- | |- | ||
|0 | | 0 | ||
|0.0 | | 0.0 | ||
|[[1/1]] | | [[1/1]] | ||
|C | | C | ||
|- | |- | ||
|1 | | 1 | ||
|78.0 | | 78.0 | ||
|[[ | | [[21/20]], [[22/21]], [[25/24]] | ||
|C# | | C# | ||
|- | |- | ||
|2 | | 2 | ||
|156.0 | | 156.0 | ||
|[[ | | [[11/10]], [[12/11]] | ||
|Db | | Db | ||
|- | |- | ||
|3 | | 3 | ||
|234.0 | | 234.0 | ||
|[[8/7]] | | [[8/7]] | ||
|D | | D | ||
|- | |- | ||
|4 | | 4 | ||
|312.0 | | 312.0 | ||
|[[6/5]] | | [[6/5]] | ||
|D#, Eb | | D#, Eb | ||
|- | |- | ||
|5 | | 5 | ||
|390.0 | | 390.0 | ||
|[[5/4]] | | [[5/4]] | ||
|E | | E | ||
|- | |- | ||
|6 | | 6 | ||
|468.0 | | 468.0 | ||
|[[21/16]] | | [[21/16]] | ||
|E#, Fb | | E#, Fb | ||
|- | |- | ||
|7 | | 7 | ||
|546.0 | | 546.0 | ||
|[[ | | [[11/8]], [[15/11]] | ||
|F | | F | ||
|- | |- | ||
|8 | | 8 | ||
|624.0 | | 624.0 | ||
|[[10/7]], [[36/25]] | | [[10/7]], [[36/25]] | ||
|F#, Cb | | F#, Cb | ||
|- | |- | ||
|9 | | 9 | ||
|702.0 | | 702.0 | ||
|[[3/2]] | | [[3/2]] | ||
|C | | C | ||
|} | |} | ||
== Scales | == Scales == | ||
Livewire (this is the original/default tuning) | Livewire (this is the original/default tuning) | ||
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== Music == | == Music == | ||
See [[Carlos Alpha #Music]]. Many are in tuned to exactly 9edf. | |||
[[Category:Listen]] | [[Category:Listen]] | ||