1848edo: Difference between revisions
→Regular temperament properties: this subgroup is valuable |
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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]] | ||
! rowspan="2" | [[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br />8ve Stretch (¢) | ||
! colspan="2" | Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
| Line 75: | Line 76: | ||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
|- | |- | ||
! Periods<br>per 8ve | ! Periods<br />per 8ve | ||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br>Ratio* | ! Associated<br />Ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
| Line 102: | Line 103: | ||
|- | |- | ||
| 12 | | 12 | ||
| 767\1848<br>(3\1848) | | 767\1848<br />(3\1848) | ||
| 498.052<br>(1.948) | | 498.052<br />(1.948) | ||
| 4/3<br>(32805/32768) | | 4/3<br />(32805/32768) | ||
| [[Atomic]] | | [[Atomic]] | ||
|- | |- | ||
| 21 | | 21 | ||
| 901\1848<br>(21\1848) | | 901\1848<br />(21\1848) | ||
| 585.065<br>(13.636) | | 585.065<br />(13.636) | ||
| 91875/65536<br>(126/125) | | 91875/65536<br />(126/125) | ||
| [[Akjayland]] | | [[Akjayland]] | ||
|- | |- | ||
| 22 | | 22 | ||
| 767\1848<br>(11\1848) | | 767\1848<br />(11\1848) | ||
| 498.052<br>(7.143) | | 498.052<br />(7.143) | ||
| 4/3<br>({{monzo|16 -13 2}}) | | 4/3<br />({{monzo|16 -13 2}}) | ||
| [[Major arcana]] | | [[Major arcana]] | ||
|- | |- | ||
| 44 | | 44 | ||
| 767\1848<br>(11\1848) | | 767\1848<br />(11\1848) | ||
| 498.052<br>(7.143) | | 498.052<br />(7.143) | ||
| 4/3<br>(18375/18304) | | 4/3<br />(18375/18304) | ||
| [[Ruthenium]] | | [[Ruthenium]] | ||
|- | |- | ||
| 56 | | 56 | ||
| 767\1848<br>(8\1848) | | 767\1848<br />(8\1848) | ||
| 498.052<br>(5.195) | | 498.052<br />(5.195) | ||
| 4/3<br>(126/125) | | 4/3<br />(126/125) | ||
| [[Barium]] | | [[Barium]] | ||
|- | |- | ||
| 77 | | 77 | ||
| 581\1848<br>(42\1848) | | 581\1848<br />(42\1848) | ||
| 377.273<br>(27.273) | | 377.273<br />(27.273) | ||
| 975/784<br>(?) | | 975/784<br />(?) | ||
| [[Iridium]] | | [[Iridium]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | ||
== Music == | == Music == | ||