5L 8s: Difference between revisions
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This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept | This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept, [[A-Team]] and [[Vulture]] temperaments. The major problematic of approaching it from a traditional tonality point of view is that, at best, it partially misses syntonic root-third-fifth triads unless you are extremely generous with the definition of the category of a "third". However, it does hit the correct syntonic second and seventh, so that insofar as the major second/minor seventh is a consonance, stacks of it (occasionally mixed with the "minor third/major sixth") are typically the most consonant harmonies of the scale. | ||
{| class="wikitable" | {| class="wikitable" |
Revision as of 07:18, 12 June 2020
This MOS, representing tempered chains of the 21st harmonic, is the chromatic scale of Semisept, A-Team and Vulture temperaments. The major problematic of approaching it from a traditional tonality point of view is that, at best, it partially misses syntonic root-third-fifth triads unless you are extremely generous with the definition of the category of a "third". However, it does hit the correct syntonic second and seventh, so that insofar as the major second/minor seventh is a consonance, stacks of it (occasionally mixed with the "minor third/major sixth") are typically the most consonant harmonies of the scale.
(2+3)/13 | 184.615+276.923 | ||
(9+13)/57 | 189.474+273.684 | ||
(7+10)/44 | 190.909+272.727 | ||
(19+27)/119 | 191.597+272.269 | ||
(12+17)/75 | 192+272 | ||
(17+24)/106 | 192.472+271.698 | ||
(5+7)/31 | 193.548+270.968 | ||
(18+25)/111 | 194.595+270.27 | ||
(13+18)/80 | 195+270 | ||
195.252+269.832 | |||
(21+29)/129 | 195.349+269.907 | ||
(8+11)/49 | 195.918+269.388 | ||
(19+26)/116 | 196.552+268.966 | ||
(11+15)/67 | 197.015+268.657 | ||
(14+19)/85 | 197.647+268.235 | ||
(17+23)/103 | 198.058+267.961 | ||
(20+27)/121 | 198.347+267.769 | ||
(23+31)/139 | 198.561+267.626 | ||
(26+35)/157 | 198.726+267.516 | ||
(29+39)/175 | 198.857+267.429 | ||
(32+43)/193 | 198.964+267.358 | ||
(35+47)/211 | 199.052+267.299 | ||
(3+4)/18 | 200+266.667 | ||
(19+25)/113 | 201.77+265.442 | ||
(16+21)/95 | 202.105+265.2105 | ||
(13+17)/77 | 202.597+264.935 | ||
(10+13)/59 | 203.39+264.407 | ||
(7+9)/41 | 204.878+263.415 | ||
(18+23)/105 | 205.714+262.857 | ||
205.861+262.759 | |||
(11+14)/64 | 206.25+262.5 | ||
206.653+262.231 | |||
(15+19)/87 | 206.897+262.069 | ||
(19+24)/110 | 207.273+261.818 | ||
(4+5)/23 | 208.696+260.870 | ||
209.6305+260.246 | |||
(13+16)/74 | 210.811+259.459 | ||
(9+11)/51 | 211.765+257.824 | ||
(14+17)/79 | 212.658+258.346 | ||
(5+6)/28 | 214.286+257.143 | ||
(16+19)/89 | 215.73+256.18 | ||
(11+13)/61 | 216.393+255.738 | ||
(17+20)/94 | 217.021+255.319 | ||
(6+7)/33 | 218.182+254.5455 | ||
(1+1)/5 | 240+240 |