436edo: Difference between revisions

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'''436edo''' is the [[EDO|equal division of the octave]] into 436 parts of 2.7522935780 [[cent]]s each. The patent val has a distinct flat tendency, in the sense that if the [[octave]] is pure, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37 are all flat. It is consistent to the 23-limit, tempering out 32805/32768 and |1 -68 46> in the 5-limit; 390625/388962, 420175/419904, and 2100875/2097152 in the 7-limit; 1375/1372, 6250/6237, 41503/41472, and 322102/321489 in the 11-limit; 625/624, 1716/1715, 2080/2079, 10648/10647, and 15379/15360 in the 13-limit; 715/714, 1089/1088, 1225/1224, 1275/1274, 2025/2023, and 11271/11264 in the 17-limit; 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 4394/4389, and 4875/4864 in the 19-limit; 875/874, 897/896, 1105/1104, 1863/1862, 2024/2023, 2185/2184, 2300/2299, and 2530/2527 in the 23-limit.

'''436edo''' is the [[EDO|equal division of the octave]] into 436 parts of 2.7522935780 [[cent]]s each. The patent val has a distinct flat tendency, in the sense that if the [[octave]] is pure, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37 are all flat. It is consistent to the [[23-odd-limit|23-limit]], tempering out 32805/32768 and |1 -68 46> in the 5-limit; 390625/388962, 420175/419904, and 2100875/2097152 in the 7-limit; 1375/1372, 6250/6237, 41503/41472, and 322102/321489 in the 11-limit; 625/624, 1716/1715, 2080/2079, 10648/10647, and 15379/15360 in the 13-limit; 715/714, 1089/1088, 1225/1224, 1275/1274, 2025/2023, and 11271/11264 in the 17-limit; 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 4394/4389, and 4875/4864 in the 19-limit; 875/874, 897/896, 1105/1104, 1863/1862, 2024/2023, 2185/2184, 2300/2299, and 2530/2527 in the 23-limit.

436edo is accurate for some interval including [[3/2]], [[7/4]], [[11/10]], [[13/10]], [[18/17]], and [[19/18]], so it is especially suitable for the 2.3.7.11/5.13/5.17.19 subgroup.

[[Category:Edo]]

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-'''436edo''' is the [[EDO|equal division of the octave]] into 436 parts of 2.7522935780 [[cent]]s each. The patent val has a distinct flat tendency, in the sense that if the [[octave]] is pure, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37 are all flat. It is consistent to the 23-limit, tempering out 32805/32768 and |1 -68 46&gt; in the 5-limit; 390625/388962, 420175/419904, and 2100875/2097152 in the 7-limit; 1375/1372, 6250/6237, 41503/41472, and 322102/321489 in the 11-limit; 625/624, 1716/1715, 2080/2079, 10648/10647, and 15379/15360 in the 13-limit; 715/714, 1089/1088, 1225/1224, 1275/1274, 2025/2023, and 11271/11264 in the 17-limit; 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 4394/4389, and 4875/4864 in the 19-limit; 875/874, 897/896, 1105/1104, 1863/1862, 2024/2023, 2185/2184, 2300/2299, and 2530/2527 in the 23-limit.
+'''436edo''' is the [[EDO|equal division of the octave]] into 436 parts of 2.7522935780 [[cent]]s each. The patent val has a distinct flat tendency, in the sense that if the [[octave]] is pure, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37 are all flat. It is consistent to the [[23-odd-limit|23-limit]], tempering out 32805/32768 and |1 -68 46&gt; in the 5-limit; 390625/388962, 420175/419904, and 2100875/2097152 in the 7-limit; 1375/1372, 6250/6237, 41503/41472, and 322102/321489 in the 11-limit; 625/624, 1716/1715, 2080/2079, 10648/10647, and 15379/15360 in the 13-limit; 715/714, 1089/1088, 1225/1224, 1275/1274, 2025/2023, and 11271/11264 in the 17-limit; 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 4394/4389, and 4875/4864 in the 19-limit; 875/874, 897/896, 1105/1104, 1863/1862, 2024/2023, 2185/2184, 2300/2299, and 2530/2527 in the 23-limit.
+edo is accurate for some interval including [[3/2]], [[7/4]], [[11/10]], [[13/10]], [[18/17]], and [[19/18]], so it is especially suitable for the 2.3.7.11/5.13/5.17.19 subgroup.
 [[Category:Edo]]