2edf

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Revision as of 20:27, 20 February 2019 by Moremajorthanmajor (talk | contribs)
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2EDF, if the attempt is made to use it as an actual scale, would divide the just perfect fifth into two equal parts, each of size 350.9775 cents, which is to say sqrt(3/2) as a frequency ratio. It corresponds to 3.4190 edo. If we want to consider it to be a temperament, it tempers out 6/5, 9/7, 32/27, and 81/80 in the patent val.

Factoids about 2EDF

60/49 and 49/40 are good rational representations of the square root of 3/2.

2EDF is closely related to the hemififths temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.

Intervals

ed31\54 11/9-et ed3/2 Golden (~ed10\17) ed34\57
1 344.444 347.408 350.9775 352.928 357.895
2 688.889 694.816 701.955 705.8555 715.7895
3 1033.333 1042.224 1052.9325 1058.783 1073.684
4 1377.778 1389.632 1403.91 1411.711 1431.579
5 1722.222 1737.04 1754.8875 1764.639 1789.474
6 2066.667 2084.448 2105.865 2117.566 2147.368
7 2411.111 2431.186 2456.8425 2470.494 2505.263