Chords of magic: Difference between revisions

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Magic has [[mos scale]]s of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven-note mos is not without a few harmonic resources, and the larger ones do much better.
Magic has [[mos scale]]s of sizes 7, 10, 13, 16, 19 and 22 notes. It may be seen that even the seven-note mos is not without a few harmonic resources, and the larger ones do much better.


The chord names use ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^<sup>5</sup>dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators, octave-reduced. (41 because 41edo is a near-optimal tuning of magic.) Thus /1 = ^d2 = 20¢ - 8.2c, i.e. an up minus a tempered pythagorean comma. /C = ^Dbb and \C = vB#. ^C = /B# and vC = \Dbb.
The chord names use ups and downs as described on the pergens page. The generator is vM3 and the enharmonic interval is ^<sup>5</sup>dd2. To simplify the names, lifts and drops are also used. One lift is 41 generators, octave-reduced. (41 because 41edo is a near-optimal tuning of magic.) Thus {{nowrap|/1 {{=}} ^d2 {{=}} 20¢ &minus; 8.2¢}}, i.e. an up minus a tempered pythagorean comma. {{nowrap|/C {{=}} ^Dbb|\C {{=}} vB#|^C {{=}} /B#|and vC {{=}} \Dbb}}.


{| class="wikitable center-all"
{| class="wikitable center-all"