Deneb: Difference between revisions

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=== Add 8 ===

5 generators stacked actually is a very good approximation of [[8/3]], so if you're okay with introducing limited factors of 2 ~~(still not introducing actual octaves)~~, Deneb can be easily extended to the 3.5.8.11 subgroup (or using the technically "canonical" ordering, 8.3.5.11, but using [[8/1]] as an equivalence would be rather impractical). This extension tempers out [[121/120]] and [[2200/2187]] and is related to the octave-repeating [[amity]] temperament. Interestingly, in the 3.5.8.11 extension, ~[[8/1]] = ~[[55/27]]<sup>2</sup> * ~[[243/125]], with ~55/27 being the aforementioned sharp quasi-octave, and ~243/125 being tuned to around 1160 cents in Deneb so it could be considered an extremely flat quasi-octave.

5 generators stacked actually is a very good approximation of [[8/3]], so if you're okay with introducing limited factors of 2, Deneb can be easily extended to the 3.5.8.11 subgroup (or using the technically "canonical" ordering, 8.3.5.11, but using [[8/1]] as an equivalence would be rather impractical). This extension tempers out [[121/120]] and [[2200/2187]] and is related to the octave-repeating [[amity]] temperament. Interestingly, in the 3.5.8.11 extension, ~[[8/1]] = ~[[55/27]]<sup>2</sup> * ~[[243/125]], with ~55/27 being the aforementioned sharp quasi-octave, and ~243/125 being tuned to around 1160 cents in Deneb so it could be considered an extremely flat quasi-octave.

== Tunings ==

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 === Add 8 ===
-generators stacked actually is a very good approximation of [[8/3]], so if you're okay with introducing limited factors of 2 (still not introducing actual octaves), Deneb can be easily extended to the 3.5.8.11 subgroup (or using the technically "canonical" ordering, 8.3.5.11, but using [[8/1]] as an equivalence would be rather impractical). This extension tempers out [[121/120]] and [[2200/2187]] and is related to the octave-repeating [[amity]] temperament. Interestingly, in the 3.5.8.11 extension, ~[[8/1]] = ~[[55/27]]<sup>2</sup> * ~[[243/125]], with ~55/27 being the aforementioned sharp quasi-octave, and ~243/125 being tuned to around 1160 cents in Deneb so it could be considered an extremely flat quasi-octave.
+generators stacked actually is a very good approximation of [[8/3]], so if you're okay with introducing limited factors of 2, Deneb can be easily extended to the 3.5.8.11 subgroup (or using the technically "canonical" ordering, 8.3.5.11, but using [[8/1]] as an equivalence would be rather impractical). This extension tempers out [[121/120]] and [[2200/2187]] and is related to the octave-repeating [[amity]] temperament. Interestingly, in the 3.5.8.11 extension, ~[[8/1]] = ~[[55/27]]<sup>2</sup> * ~[[243/125]], with ~55/27 being the aforementioned sharp quasi-octave, and ~243/125 being tuned to around 1160 cents in Deneb so it could be considered an extremely flat quasi-octave.
 == Tunings ==

Deneb: Difference between revisions

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