298edo: Difference between revisions
expanded, added information, will calculate errors later as I have a lot of college |
→Other vals: added 298d because in the 11-limit it stands out |
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Different temperaments can be extracted from 298edo by simply viewing its prime harmonics as variations from 149edo by its own half-step, although it is important to note that these vals are not better tuned than the patent val. | Different temperaments can be extracted from 298edo by simply viewing its prime harmonics as variations from 149edo by its own half-step, although it is important to note that these vals are not better tuned than the patent val. | ||
The 298d val in 11-limit (149edo with 298edo 11/8) is better tuned than the patent val (although not in the 17-limit) and supports [[hagrid]], in addition to the 31 & 298d variant and the 118 & 298d variant of [[hemithirds]]. Some of the commas it tempers out make for much more interesting temperaments than the patent val. It still tempers out 243/242, but now it adds 1029/1024, 3136/3125, and 9801/9800. | |||
The 298cd val supports [[miracle]]. | |||
=== Prime harmonics === | === Prime harmonics === | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |Subgroup | ! rowspan="2" |Subgroup | ||
| Line 48: | Line 50: | ||
|243/242, 1375/1372, 6144/6125, 72171/71680 | |243/242, 1375/1372, 6144/6125, 72171/71680 | ||
|[{{val|298 472 692 837 1031}}] | |[{{val|298 472 692 837 1031}}] | ||
|0. | |0.0012 | ||
|0.4523 | |||
|? | |||
|- | |||
|2.3.5.7.11 | |||
|243/242, 1029/1024, 3136/3125, 9801/9800 | |||
|[{{val|298 472 692 836 1031}}] (298d) | |||
|0.2882 | |||
|0.4439 | |0.4439 | ||
|? | |? | ||