897edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|897}} | {{EDO intro|897}} | ||
==Theory== | |||
897et tempers out [[250047/250000]] in the 7-limit, | 897et tempers out [[250047/250000]] in the 7-limit; 100663296/100656875, 2097152/2096325, [[131072/130977]], 172032/171875, [[5632/5625]], 47265625/47258883, [[3025/3024]], 160083/160000, 102487/102400, [[1771561/1769472]] in the 11-limit. | ||
{{Harmonics in equal|897}} | {{Harmonics in equal|897}} | ||
==Regular temperament properties== | |||
{| class="wikitable center-4 center-5 center-6" | |||
! rowspan="2" |[[Subgroup]] | |||
! rowspan="2" |[[Comma list|Comma List]] | |||
! rowspan="2" |[[Mapping]] | |||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | |||
! colspan="2" |Tuning Error | |||
|- | |||
![[TE error|Absolute]] (¢) | |||
![[TE simple badness|Relative]] (%) | |||
|- | |||
|2.3 | |||
|{{monzo| 474 -299}} | |||
|{{val| 897 1422}} | |||
| -0.1218 | |||
| 0.1218 | |||
| 9.10 | |||
|- | |||
|2.3.5 | |||
|{{monzo| 33 -34 9}}, {{monzo| 70 -9 -24}} | |||
|{{val| 897 1422 2083}} | |||
| -0.1255 | |||
| 0.010 | |||
| 0.75 | |||
|- | |||
|2.3.5.7 | |||
|250047/250000, 67108864/66976875, 28824005/28697814 | |||
|{{val| 897 1422 2083 2518}} | |||
| -0.0706 | |||
| 0.1283 | |||
| 9.59 | |||
|- | |||
|2.3.5.7.11 | |||
|3025/3024, 5632/5625, 160083/160000, 28824005/28697814 | |||
|{{val| 897 1422 2083 2518 3103}} | |||
| -0.0480 | |||
| 0.1234 | |||
| 9.22 | |||
|- | |||
|2.3.5.7.11.13 | |||
|2080/2079, 1001/1000, 3025/3024, 4096/4095, 2058857500/2051893701 | |||
|{{val| 897 1422 2083 2518 3103 3319}} | |||
| -0.0222 | |||
| 0.1265 | |||
| 9.46 | |||
|} | |||
==Music== | ==Music== | ||
* [https://www.youtube.com/watch?v=opR71xbJ-PQ 13|3|23] by Francium | |||
*[https://www.youtube.com/watch?v=opR71xbJ-PQ 13|3|23] by Francium | |||