Whitewood
36/35, 2187/2048 (2.3.5.7)
9-odd-limit: 40.6 ¢
9-odd-limit: 21 notes
Whitewood is the rank-2 temperament tempering out 2187/2048, the Pythagorean chromatic semitone. As a result, the circle of fifths closes after seven steps, and every interval on the chain of fifths is neutral in quality. The whitewood temperament adds prime 5 as an independent generator, adding major and minor intervals on either side of the neutral ones.
The canonical extenison to prime 7 adds 36/35 to the commas, thus equating 5-limit major and minor intervals with 7-limit subminor and supermajor ones. It finds 7/4 at the minor seventh, 7/6 at the minor third, and 9/7 at the major third.
For technical data, see Whitewood family #Whitewood.
Intervals
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Tunings
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