Würschmidt: Difference between revisions
unilateral undo; negative steps are shown to -8 as they are simpler than positive steps 21 to 28 for completing the 28-note MOS, and bolding all harmonics in the interval chain is convention Tag: Undo |
incorporated some minor changes back |
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Therefore, it may be advisable to consider würschmidt a no-sevens system, specifically in the 2.3.5.11 subgroup, where an extension that equates 128/125 with [[45/44]] and therefore 625/512 with [[11/9]] (by tempering out [[243/242]] and [[5632/5625]]), finding the 11th harmonic at 20 generators up, is highly natural in addition to the aforementioned extension to prime 23. | Therefore, it may be advisable to consider würschmidt a no-sevens system, specifically in the 2.3.5.11 subgroup, where an extension that equates 128/125 with [[45/44]] and therefore 625/512 with [[11/9]] (by tempering out [[243/242]] and [[5632/5625]]), finding the 11th harmonic at 20 generators up, is highly natural in addition to the aforementioned extension to prime 23. | ||
== Interval | == Interval chain == | ||
In the below, octave-reduced harmonics below 125 are indicated in '''bold'''. | In the below, octave-reduced harmonics below 125 are indicated in '''bold'''. | ||
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|- | |- | ||
| 20 || 556.03 || 69/50, 864/625 || '''11/8''', 243/176 | | 20 || 556.03 || 69/50, 864/625 || '''11/8''', 243/176 | ||
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</ | <nowiki>*</nowiki> In 2.3.5-targeted [[DKW theory|DKW]] tuning | ||
== Tunings == | == Tunings == | ||