13ed8/3: Difference between revisions
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== Properties == | == Properties == | ||
Gutierrez noted that: | Gutierrez noted that: | ||
* 13ed8/3 is like [[9edo]] with the octave compressed by 24 [[cents]] | * 13ed8/3 is like [[9edo]] with the octave compressed by 24 [[cents]] | ||
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* Its 1437{{c}} major 9th interval is about an octave above the [[8/7]] septimal whole tone (so it approximates [[16/7]]) | * Its 1437{{c}} major 9th interval is about an octave above the [[8/7]] septimal whole tone (so it approximates [[16/7]]) | ||
* The sharp [[perfect fourth]] of 522{{c}} is very dissonant in a triad with either fifth, but with the major 6th instead it makes a very pretty chord | * The sharp [[perfect fourth]] of 522{{c}} is very dissonant in a triad with either fifth, but with the major 6th instead it makes a very pretty chord | ||
13ed8/3 can be thought of as a 2.12.15.7.11.13.19 [[subgroup]] tuning. It has under 22% [[relative error]] (under 29{{c}} abs. error) on each of those [[harmonic]]s, which is comparable to [[12edo]]'s approximation of the full [[7-limit]]. | |||
== Harmonics == | == Harmonics == | ||
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== Scales == | == Scales == | ||
; Described by [[Budjarn Lambeth]] | ; Described by [[Budjarn Lambeth]] | ||
''Tested by ear in [[Scale Workshop]] using the "jublag", "ugal", and "silver" aperiodic waveforms, and the "percussive (medium)" preset.'' | |||
* 5-tone [[pelog]]-like scale: 1 1 3 1 3 | * 5-tone [[pelog]]-like scale: 1 1 3 1 3 | ||
* 7-tone [[pelog]]-like scale: 1 1 2 1 1 2 1 | * 7-tone [[pelog]]-like scale: 1 1 2 1 1 2 1 | ||