Tetrahanson: Difference between revisions
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=== b39 & b15 === | === b39 & b15 === | ||
This is restriction of [[catalan]] extension. This can maintain the structure of the 3rd-octave period in 3.4.5, 3.5.11, and 3.5.13. Well, 3.4.5 and 3.5.13, which do not include 7 or 11 in their basis, should simply be called tetrahanson. | This is restriction of [[catalan]] extension. This can maintain the structure of the 3rd-octave period in 3.4.5, 3.5.11, and 3.5.13. Well, 3.4.5 and 3.5.13, which do not include 7 or 11 in their basis, should simply be called tetrahanson (and no-twos defactored cata, respectively). | ||
{| class="wikitable" | {| class="wikitable" | ||
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{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
|+ Interval chain | |||
|- | |- | ||
! rowspan="2" | #<br>(mingen) | ! rowspan="2" | #<br>(mingen) | ||
| Line 99: | Line 100: | ||
|- | |- | ||
! Cents* | ! Cents* | ||
! Approximate | ! Approximate ratios | ||
! Cents* | ! Cents* | ||
! Approximate | ! Approximate ratios | ||
! Cents* | ! Cents* | ||
! Approximate | ! Approximate ratios | ||
|- | |- | ||
| -1 | | -1 | ||
| Line 154: | Line 155: | ||
|} | |} | ||
<nowiki />* In 3.4.5-subgroup CWE tuning | <nowiki />* In 3.4.5-subgroup CWE tuning | ||
{| class="wikitable center-all left-4" | |||
|+ Tuning spectrum | |||
|- | |||
! ET<br />generator | |||
! [[Eigenmonzo|Eigenmonzo<br />(unchanged-interval)]] | |||
! Generator (¢) | |||
! Comments | |||
|- | |||
| 18\39edt | |||
| | |||
| 877.825 | |||
| | |||
|- | |||
| | |||
| 11/9 | |||
| 879.333 | |||
| 3.5.11.13-subgroup 13-odd-limit minimax | |||
|- | |||
| 43\93edt | |||
| | |||
| 879.399 | |||
| | |||
|- | |||
| | |||
| 44/15 | |||
| 879.798 | |||
| | |||
|- | |||
| 25\54edt | |||
| | |||
| 880.534 | |||
| | |||
|- | |||
| | |||
| 5/4 | |||
| 881.656 | |||
| | |||
|- | |||
| | |||
| 4/3 | |||
| 883.007 | |||
| | |||
|- | |||
| | |||
| 5/3 | |||
| 884.359 | |||
| | |||
|- | |||
| 7\15edt | |||
| | |||
| 887.579 | |||
| | |||
|} | |||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||