9/8: Difference between revisions
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9/8 is well-represented in [[6edo]] and its multiples. [[Edo]]s which tune [[3/2]] close to just ([[29edo]], [[41edo]], [[53edo]], to name three) will tune 9/8 close as well. The difference between 6 intervals of 9/8 and the octave is the [[Pythagorean comma]]. | 9/8 is well-represented in [[6edo]] and its multiples. [[Edo]]s which tune [[3/2]] close to just ([[29edo]], [[41edo]], [[53edo]], to name three) will tune 9/8 close as well. The difference between 6 intervals of 9/8 and the octave is the [[Pythagorean comma]]. | ||
== History == | |||
The (whole) tone as an interval measure was already known in Ancient Greece. [[Wikipedia:Aristoxenus|Aristoxenus (fl. 335 BC)]] defined the tone as the difference between the [[3/2|just fifth (3/2)]] and the [[4/3|just fourth (4/3)]]. From this base size, he derived the size of other intervals as multiples or fractions of the tone, so for instance the just fourth was 2½ tones in size. | |||
== Temperaments == | == Temperaments == | ||
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* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
== External links == | |||
* [http://www.tonalsoft.com/monzo/aristoxenus/aristoxenus.aspx The measurement of Aristoxenus's Divisions of the Tetrachord] on [[Tonalsoft Encyclopedia]] | |||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Whole tone]] | [[Category:Whole tone]] | ||
[[Category:Greek]] | |||