Septidiasemi: Difference between revisions

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'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.

'''Septidiasemi''', in this article, is the [[Rank-2 temperament|rank-two regular temperament]] for the 2.3.5.7.13.17 [[subgroup]] defined by [[tempering out]] 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.

It can be seen as implying a rank-two tuning which is [[generator|generated]] by a large semitone of about 119.3 cents which represents [[15/14]] (septimal diatonic semitone) and from this it derives its name. Equal temperaments that support septidiasemi include [[10edo|10EDO]] (generator 1\10), [[151edo|151EDO]] (generator 15\151), [[161edo|161EDO]] (generator 16\161), and [[171edo|171EDO]] (generator 17\171).

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== See also ==

* [[15/14]] - septimal diatonic semitone

* [[15/14ths equal temperament|15/14s equal temperament]]

[[Category:~~Temperament~~]]

[[Category:Septidiasemi| ]]

[[Category:~~Breed~~]]

[[Category:Rank-2 temperaments]]

[[Category:Breedsmic temperaments]]

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-'''Septidiasemi''', in this article, is the rank-two regular temperament for the 2.3.5.7.13.17 subgroup defined by tempering out 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.
+{{todo|cleanup}}
+'''Septidiasemi''', in this article, is the [[Rank-2 temperament|rank-two regular temperament]] for the 2.3.5.7.13.17 [[subgroup]] defined by [[tempering out]] 2401/2400 and 2152828125/2147483648 in the 7-limit; 2205/2197 and 4096/4095 in the 13-limit; 833/832, 1275/1274, and 2025/2023 in the 17-limit.
 It can be seen as implying a rank-two tuning which is [[generator|generated]] by a large semitone of about 119.3 cents which represents [[15/14]] (septimal diatonic semitone) and from this it derives its name. Equal temperaments that support septidiasemi include [[10edo|10EDO]] (generator 1\10), [[151edo|151EDO]] (generator 15\151), [[161edo|161EDO]] (generator 16\161), and [[171edo|171EDO]] (generator 17\171).
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 == See also ==
 * [[15/14]] - septimal diatonic semitone
-* [[15/14ths equal temperament|15/14s equal temperament]]
-[[Category:Temperament]]
+[[Category:Septidiasemi| ]] <!-- main article -->
-[[Category:Breed]]
+[[Category:Rank-2 temperaments]]
+[[Category:Breedsmic temperaments]]