Chromium: Difference between revisions

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=== 250/243 as the porcupine comma ===
=== 250/243 as the porcupine comma ===
From a regular temperament theory perspective in the 5-limit, chromium is defined entirely by the [-23 120 -72⟩ comma that closes a stack of 24 porcupine commas with the octave.
From a regular temperament theory perspective in the 5-limit, chromium is defined entirely by the {{monzo|-23 120 -72}} comma that closes a stack of 24 porcupine commas with the octave.


Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.
Chromium reaches [[10/9]] in just one generator step. As such, it reaches [[100/81]] in two, while simultaneously reaching [[6/5]] in two. Because every note is replicated 24 times around the octave, and 250/243 maps to the period, 6/5 occurs exactly one step of 24edo above two 10/9's.
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[[Category:Chromium| ]] <!-- main article -->
[[Category:Chromium| ]] <!-- main article -->
[[Category:Temperaments]]
[[Category:Rank-2 temperaments]]
[[Category:Landscape microtemperaments]]
[[Category:Landscape microtemperaments]]