Alchemisma: Difference between revisions
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Tristanbay (talk | contribs) Created page for the alchemisma |
Tristanbay (talk | contribs) more info |
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L<sup>5</sup>y<sup>36</sup>-10|Name=alchemisma}} | L<sup>5</sup>y<sup>36</sup>-10|Name=alchemisma}} | ||
The '''alchemisma''' is a [[Small comma|small]] [[5-limit]] [[comma]] measuring about {{Frac|5|1|3}} cents. It is the amount by which 36 [[5/4]]<nowiki/>s exceeds a single [[3/2]], [[Octave reduction|octave-reduced]]. Tempering it out leads to the ''alchemy'' temperament, which has its [[~]]3/2 at 36 generators of ~5/4. This temperament extends naturally to the 2.3.5.11 [[Just intonation subgroup|subgroup]], with ~11/8 found at -11 generators. | The '''alchemisma''' is a [[Small comma|small]] [[5-limit]] [[comma]] measuring about {{Frac|5|1|3}} cents. It is the amount by which a stack of 36 [[5/4]]<nowiki/>s exceeds a single [[3/2]], [[Octave reduction|octave-reduced]]. Tempering it out leads to the ''alchemy'' temperament (28 & 87), which has its [[~]]3/2 at 36 generators of ~5/4 and is supported by [[28edo]], [[87edo]], [[289edo]], [[665edo]], and [[954edo]] using their patent vals. This temperament extends naturally to the 2.3.5.11 [[Just intonation subgroup|subgroup]] by adding the [[4000/3993|pine comma]], 4000/3993, with ~11/8 found at -11 generators. This extension is supported by the same edos mentioned earlier except for 954edo. | ||
Latest revision as of 09:56, 1 September 2026
| Interval information |
L5y36-10
The alchemisma is a small 5-limit comma measuring about 5+1⁄3 cents. It is the amount by which a stack of 36 5/4s exceeds a single 3/2, octave-reduced. Tempering it out leads to the alchemy temperament (28 & 87), which has its ~3/2 at 36 generators of ~5/4 and is supported by 28edo, 87edo, 289edo, 665edo, and 954edo using their patent vals. This temperament extends naturally to the 2.3.5.11 subgroup by adding the pine comma, 4000/3993, with ~11/8 found at -11 generators. This extension is supported by the same edos mentioned earlier except for 954edo.