1789edo: Difference between revisions
-jacobin (it a rank-5 temperament); cleanup and request for clarification |
defined the comma basis for french decimal |
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1789edo can be used for the finite "decimal" temperament - that is, where all the interval targets in just intonation are expressed as terminating decimals. For example, [[5/4]], [[25/16]], [[128/125]], [[32/25]], 625/512, etc. This rings particularly true for the French attempts to decimalize a lot more things than we are used to today. This property of 1789edo is amplified by poor approximation of 3 and 7, allowing for cognitive separation of the intervals (or whatever is left of it at such small step size). | 1789edo can be used for the finite "decimal" temperament - that is, where all the interval targets in just intonation are expressed as terminating decimals. For example, [[5/4]], [[25/16]], [[128/125]], [[32/25]], 625/512, etc. This rings particularly true for the French attempts to decimalize a lot more things than we are used to today. This property of 1789edo is amplified by poor approximation of 3 and 7, allowing for cognitive separation of the intervals (or whatever is left of it at such small step size). | ||
Using the maximal evenness method of finding rank-2 temperaments, we get a 1525 & 1789 temperament. | Using the maximal evenness method of finding rank-2 temperaments, we get a 1525 & 1789 temperament with comma basis 28824005/28792192, 200126927/200000000, 6106906624/6103515625 in the 2.5.7.11.13 subgroup. | ||
=== Other === | === Other === | ||
| Line 222: | Line 222: | ||
| 386.36 | | 386.36 | ||
| 5/4 | | 5/4 | ||
| French decimal | | French decimal | ||
|- | |- | ||
| 777\1789 | | 777\1789 | ||