80edo: Difference between revisions

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The '''80 equal temperament''', often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step ~~represents a frequency ratio of~~ exactly 15 [[cent|cent]]s. 80et is the first equal temperament that represents the [[19-limit]] [[tonality diamond]] [[consistent|consistently]] (it barely manages to do so).

The '''80 equal temperament''', often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step is exactly 15 [[cent|cent]]s.

== Theory ==

80et is the first equal temperament that represents the [[19-limit]] [[tonality diamond]] [[consistent|consistently]], though it barely manages to do so.

80et [[Tempering_out|tempers out]] 176/175 and 540/539 in the [[11-limit]], 169/168, [[325/324]], [[351/350]], [[352/351]], [[364/363]] and 1001/1000 in the [[13-limit]], 136/135, 221/220, 256/255, 289/288, 561/560, 595/594, 715/714, 936/935, 1275/1274 in the [[17-limit]], 190/189, 286/285, 361/360, 400/399, 456/455, 476/475, 969/968, 1331/1330, [[1445/1444]], 1521/1520, 1540/1539 and 1729/1728 in the 19-limit, not to mention such important non-superparticular commas as [[2048/2025]], 4000/3969, 1728/1715 and 3136/3125.

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-The '''80 equal temperament''', often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step represents a frequency ratio of exactly 15 [[cent|cent]]s. 80et is the first equal temperament that represents the [[19-limit]] [[tonality diamond]] [[consistent|consistently]] (it barely manages to do so).
+The '''80 equal temperament''', often abbreviated 80-tET, 80-EDO, or 80-ET, is the scale derived by dividing the octave into 80 equally-sized steps. Each step is exactly 15 [[cent|cent]]s.
+== Theory ==
+et is the first equal temperament that represents the [[19-limit]] [[tonality diamond]] [[consistent|consistently]], though it barely manages to do so.
 et [[Tempering_out|tempers out]] 176/175 and 540/539 in the [[11-limit]], 169/168, [[325/324]], [[351/350]], [[352/351]], [[364/363]] and 1001/1000 in the [[13-limit]], 136/135, 221/220, 256/255, 289/288, 561/560, 595/594, 715/714, 936/935, 1275/1274 in the [[17-limit]], 190/189, 286/285, 361/360, 400/399, 456/455, 476/475, 969/968, 1331/1330, [[1445/1444]], 1521/1520, 1540/1539 and 1729/1728 in the 19-limit, not to mention such important non-superparticular commas as [[2048/2025]], 4000/3969, 1728/1715 and 3136/3125.