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1200

🔗Gene Ward Smith <gwsmith@svpal.org>

10/4/2003 12:51:13 AM

Given that this et forms the basis of a florishing system of notation,
it seems worthwhile to take a look at its properties.

5-limit commas

[68719476736000/68630377364883, 476837158203125/474989023199232]
[[39, -29, 3], [-44, -3, 21]]

temperament mapping from the second comma (a 600-et comma)
[[3, 5, 7], [0, -7, -1]]
generators: [400, 14]

7-limit commas

[2460375/2458624, 95703125/95551488, 68719476736/68641485507]
[[-10, 9, 3, -4], [-17, -6, 9, 2], [36, -5, 0, -10]]

temperament mapping from the first two commas
[[3, 5, 7, 9], [0, -14, -2, -33]]
generators: [400, 7]

11-limit comma

[9801/9800, 234375/234256, 825000/823543, 1771561/1769472]
[[-3, 4, -2, -2, 2], [-4, 1, 7, 0, -4], [3, 1, 5, -7, 1], [-16, -3, 0
, 0, 6]]

temperament mapping from the previous two 7-limit commas and 9801/9800
[[6, 10, 14, 18, 21], [0, -14, -2, -33, -7]]
generators: [200, 7]

commas c with h(1200, c)=14
121/120, 245/243, 393216/390625

commas c with h(1200, c)=7
225/224

This [200, 7] temperament may be of some use in connection with 1200
notation.