1051edo: Difference between revisions
→Regular temperament properties: plz note 2.3.15 is equivalent to 2.3.5 and 2.3.15.35 is equivalent to 2.3.5.7. It doesn't seem to be supporting edson in any obvious way, either |
→Theory: plz note that subgroup is part of RTT perspective. |
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{{EDO intro|1051}} | {{EDO intro|1051}} | ||
== Theory == | == Theory == | ||
1051et tempers out 2460375/2458624 in the 7-limit; 820125/819896, 2097152/2096325, 514714375/514434888, 180224/180075, 184549376/184528125, 43923/43904 and 20614528/20588575 in the 11-limit. | 1051edo only has a [[consistency]] limit of 3 and does poorly with approximating the harmonic 5. However, it has a reasonable representation of the 2.3.7.11.17.19 subgroup. | ||
===Odd harmonics=== | Assume the [[patent val]], 1051et tempers out 2460375/2458624 in the 7-limit; 820125/819896, 2097152/2096325, 514714375/514434888, 180224/180075, 184549376/184528125, 43923/43904 and 20614528/20588575 in the 11-limit. | ||
=== Odd harmonics === | |||
{{Harmonics in equal|1051}} | {{Harmonics in equal|1051}} | ||
===Subsets and supersets=== | |||
1051edo is the 177th [[prime edo]]. 2102edo, which doubles it, gives a good correction to the harmonic 5. 4212edo, which quadruples it, gives a good correction to the harmonic | === Subsets and supersets === | ||
1051edo is the 177th [[prime edo]]. 2102edo, which doubles it, gives a good correction to the harmonic 5 and 7. 4212edo, which quadruples it, gives a good correction to the harmonic 3. | |||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||