2a5b * 3a4b
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- This revision was by author keenanpepper and made on 2012-03-20 08:21:56 UTC.
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[[Product word]] scale pattern of 2a5b (either [[2L 5s]] or [[5L 2s]]) and 3a4b ([[3L 4s]] or [[4L 3s]]). There are 7 [[Dome|domes]], each with 7 modes: * abacabc - triple wakalix with 2a5b as a factor in two different ways ** Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15 * Inverse of above, gives "JI minor scale" * aabacab - triple wakalix with 1a6b (either [[1L 6s]] or [[6L 1s]]) as third factor ** The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic" ** The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6). * abacadc * abacabd (inverse of above) * aabacdc * aabcbad (inverse of above)
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<html><head><title>2a5b * 3a4b</title></head><body><a class="wiki_link" href="/Product%20word">Product word</a> scale pattern of 2a5b (either <a class="wiki_link" href="/2L%205s">2L 5s</a> or <a class="wiki_link" href="/5L%202s">5L 2s</a>) and 3a4b (<a class="wiki_link" href="/3L%204s">3L 4s</a> or <a class="wiki_link" href="/4L%203s">4L 3s</a>).<br /> There are 7 <a class="wiki_link" href="/Dome">domes</a>, each with 7 modes:<br /> <ul><li>abacabc - triple wakalix with 2a5b as a factor in two different ways<ul><li>Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15</li></ul></li><li>Inverse of above, gives "JI minor scale"</li><li>aabacab - triple wakalix with 1a6b (either <a class="wiki_link" href="/1L%206s">1L 6s</a> or <a class="wiki_link" href="/6L%201s">6L 1s</a>) as third factor<ul><li>The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"</li><li>The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).</li></ul></li><li>abacadc</li><li>abacabd (inverse of above)</li><li>aabacdc</li><li>aabcbad (inverse of above)</li></ul></body></html>