1665edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|1665}} | {{EDO intro|1665}} | ||
==Theory== | |||
1665edo is a very strong 5-limit (as well as 2.3.5.11 subgroup) tuning and it is consistent in the 15-odd-limit. In the 5-limit, 1665edo is a tuning for the [[gross]] temperament. | 1665edo is a very strong 5-limit (as well as 2.3.5.11 subgroup) tuning and it is consistent in the 15-odd-limit. In the 5-limit, 1665edo is a tuning for the [[gross]] temperament. | ||
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===Prime harmonics=== | ===Prime harmonics=== | ||
{{harmonics in equal|1665}} | {{harmonics in equal|1665}} | ||
==Regular temperament properties== | |||
=== Rank-2 temperaments === | |||
{| class="wikitable center-all left-5" | |||
|+Table of rank-2 temperaments by generator | |||
! Periods<br>per 8ve | |||
! Generator<br>(Reduced) | |||
! Cents<br>(Reduced) | |||
! Associated<br>Ratio | |||
! Temperaments | |||
|- | |||
| 1 | |||
| 127\1665 | |||
| 91.531 | |||
| {{monzo|9 -32 18}} | |||
| [[Gross]] | |||
|- | |||
| 37 | |||
| 377\1665<br>(17\1665) | |||
| 271.711<br>(12.252) | |||
| 117/100<br>(?) | |||
| [[Dzelic]] | |||
|- | |||
| 45 | |||
| 1301\1665<br>(6\1665) | |||
| 937.657<br>(4.324) | |||
| 55/32<br>(?) | |||
| [[Rhodium]] | |||
|} | |||