3ed11/9: Difference between revisions
not sure if this merits moving the page Tags: Mobile edit Mobile web edit Advanced mobile edit |
going to move to 3ed11/9 next if i can figure out how Tags: Mobile edit Mobile web edit Advanced mobile edit |
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6 steps of this temperament is an extremely close approximation of 81:121, having only 0.3% relative error. 11 steps is obviously 81:169, so 81:121:169 is well approximated, which represents the approximate 2:3:4 created by overtones of chimes.<ref>[https://en.wikipedia.org/wiki/Strike_tone#Tuning_a_bell Wikipedia | ''Strike tone'']</ref> | 6 steps of this temperament is an extremely close approximation of 81:121, having only 0.3% relative error. 11 steps is obviously 81:169, so 81:121:169 (9²:11²:13²) is well approximated, which represents the approximate 2:3:4 created by overtones of chimes.<ref>[https://en.wikipedia.org/wiki/Strike_tone#Tuning_a_bell Wikipedia | ''Strike tone'']</ref> | ||
9²:11²:13²:17² is also very well approximated, but 9²:15² has around 25% relative error. | |||
A simpler name for it is 3ed11/9. | A simpler name for it is 3ed11/9. | ||
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===Approximation of odd square harmonics relative to 9²=== | |||
1²:9² | |||
3²:9² | |||
5²:9² | |||
7²:9² | |||
9²:9² | |||
11²:9² | |||
13²:9² | |||
15²:9² | |||
17²:9² | |||
19²:9² | |||
===Approximation of odd square harmonics=== | |||
3² | |||
5² | |||
7² | |||
9² | |||
11² | |||
13² | |||
15² | |||
17² | |||
19² | |||