7edo: Difference between revisions
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→Observations: Add observations about stretched octave |
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7edo is the unique intersection of the temperaments of [[meantone]] (specifically [[3/4-comma meantone]]) and [[porcupine]]. | 7edo is the unique intersection of the temperaments of [[meantone]] (specifically [[3/4-comma meantone]]) and [[porcupine]]. | ||
The [[Octave stretch|stretched-octaves]] tuning [[Ed258/128#7ed257/128|7ed257/128]] greatly improves 7edo’s approximation of 3/1, 5/1 and 11/1, at the cost of slightly worsening 2/1 and 7/1, and greatly worsening 13/1. If one is hoping to use 7edo for [[11-limit]] harmonies, then 7ed257/128 is a good choice to make that easier. | |||
The stretched 7edo tuning [[zpi|15zpi]] can also be used to improve 7edo’s approximation of JI in the same way. | |||
=== Subsets and supersets === | === Subsets and supersets === | ||