347edo: Difference between revisions
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m Infobox ET added |
Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|347}} | |||
The equal temperament [[tempering out|tempers out]] [[3136/3125]] and 420175/419904 in the 7-limit, and provides an excellent tuning for [[sengagen]], the 99 & 248 temperament tempering out both, and the planar [[hemimean]] temperament tempering out 3136/3125. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|347}} | |||
=== Subsets and supersets === | |||
347edo is the 69th [[prime edo]]. | |||
[[Category:Hemimean]] | [[Category:Hemimean]] | ||
[[Category:Sengagen]] | |||
Revision as of 07:01, 15 November 2023
| ← 346edo | 347edo | 348edo → |
The equal temperament tempers out 3136/3125 and 420175/419904 in the 7-limit, and provides an excellent tuning for sengagen, the 99 & 248 temperament tempering out both, and the planar hemimean temperament tempering out 3136/3125.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.06 | +1.01 | -0.53 | -1.46 | -0.18 | -1.21 | -0.11 | +1.12 | +0.97 | -0.37 |
| Relative (%) | +0.0 | +1.8 | +29.1 | -15.2 | -42.3 | -5.3 | -35.0 | -3.1 | +32.4 | +28.1 | -10.6 | |
| Steps (reduced) |
347 (0) |
550 (203) |
806 (112) |
974 (280) |
1200 (159) |
1284 (243) |
1418 (30) |
1474 (86) |
1570 (182) |
1686 (298) |
1719 (331) | |
Subsets and supersets
347edo is the 69th prime edo.