9ed9/8: Difference between revisions

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Adopt template: ED intro. -reference to Turkish music (this interpretation instead of plain 53edo is absurd). Misc. cleanup
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{{Infobox ET}}
{{Infobox ET}}
'''9ED9/8''' is the [[Equal-step tuning|equal division]] of the [[9/8|Pythagorean whole tone]] into nine parts of 22.6567 [[cent|cents]] each, corresponding to 52.9645 [[edo]]. This tuning is used in Ottoman classical music theory, in which ninth root of the 9/8 whole tone is treated as the minimum interval.
{{ED intro}} It corresponds to 52.9645 [[edo]], which is closely related to [[53edo]] but with the whole tone instead of the octave tuned pure.  


==Intervals==
== Intervals ==
{| class="wikitable right-2"
{| class="wikitable right-2"
|-
|-
! degree
! #
! cents value
! Cents Value
! ratio
! Ratio
|-
|-
| 0
| 0
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|}
|}


== Just approximation ==
== Approximation to JI ==
=== 15-odd-limit mappings ===
=== 15-odd-limit mappings ===
The following table shows how [[15-odd-limit intervals]] are represented in 9ed9/8 (ordered by absolute error).
The following table shows how [[15-odd-limit intervals]] are represented in 9ed9/8 (ordered by absolute error).
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{| class="wikitable center-all"
{| class="wikitable center-all"
|-
|-
|+ Direct mapping (even if inconsistent)
|+ Direct approximation (even if inconsistent)
|-
|-
! Interval(s)
! Interval(s)
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| 10.491
| 10.491
|}
|}
==See also==
* [http://en.wikipedia.org/wiki/Ottoman_classical_music Ottoman classical music - Wikipedia]
* [http://en.wikipedia.org/wiki/Makam Makam - Wikipedia]


[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Edonoi]]
[[Category:Edonoi]]
[[Category:Whole tone]]
[[Category:Whole tone]]