9edf: Difference between revisions
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== Theory == | == Theory == | ||
9edf corresponds to 15. | 9edf corresponds to 15.385602edo. It is closely related to [[Carlos Alpha]], and can be used as a temperament of the [[Half-prime subgroup|3/2.5/4.7/8.11/8 subgroup]]. Carlos Alpha can be seen as 9edf with an independent dimension for 2. | ||
=== Harmonics === | === Harmonics === | ||
| Line 69: | Line 69: | ||
== Scales == | == Scales == | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
|+ | |+ | ||
! rowspan="2" |Name | ! rowspan="2" |Name | ||
! rowspan="2" |Step pattern within 1 period | ! rowspan="2" |Step pattern within 1 period | ||
! colspan=" | ! colspan="3" |Interval of repetition | ||
! rowspan="2" |First described by | ! rowspan="2" |First described by | ||
|- | |- | ||
!(in 9edf steps) | !(in 9edf steps) | ||
!(in cents) | !(in cents) | ||
!(nearby JI) | |||
|- | |- | ||
| | |Molten [[slendro]] | ||
| | |3 | ||
| | |3 | ||
| | |234.0 | ||
|[[8/7]] | |||
|''[[Budjarn Lambeth]] (2023)'' | |''[[Budjarn Lambeth]] (2023)'' | ||
|- | |- | ||
| | |Pylon | ||
|2 | |6 3 | ||
| | |9 | ||
| | |702.0 | ||
|[[3/2]] | |||
|''Budjarn Lambeth (2023)'' | |||
|- | |||
|Quest | |||
|7 2 | |||
|9 | |||
|702.0 | |||
|[[3/2]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| Line 95: | Line 105: | ||
|9 | |9 | ||
|702.0 | |702.0 | ||
|[[3/2]] | |||
|''Budjarn Lambeth (2023)'' | |||
|- | |||
|Molten [[pelog]] | |||
|2 2 5 2 5 | |||
|16 | |||
|1247.9 | |||
|[[33/16]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| Line 101: | Line 119: | ||
|31 | |31 | ||
|2417.8 | |2417.8 | ||
|[[4/1]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| | |Livewire | ||
| | |1 8 1 8 1 8 1 8 1 8 1 | ||
| | |46 | ||
| | |3587.8 | ||
| | |[[8/1]] | ||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| Line 125: | Line 133: | ||
|62 | |62 | ||
|4835.7 | |4835.7 | ||
|[[16/1]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| | |Cloudscape | ||
| | |5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 | ||
| | |72 | ||
| | |5615.6 | ||
|[[128/5]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|- | |- | ||
| | |Corrugated | ||
| | |2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 | ||
|3 | |135 | ||
| | |10529.3 | ||
|[[437/1]] | |||
|''Budjarn Lambeth (2023)'' | |''Budjarn Lambeth (2023)'' | ||
|} | |} | ||