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Cmloegcmluin (talk | contribs) →Spectrum of oolong tunings: improve and standardize tuning spectra tables |
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<nowiki>*</nowiki> In 2.3.5.7.13 POTE tuning | <nowiki>*</nowiki> In 2.3.5.7.13 POTE tuning | ||
== | == Tuning spectrum == | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! | ! ET<br>generator | ||
! | ! [[eigenmonzo|eigenmonzo<br>(unchanged interval]]) | ||
! generator<br>(¢) | |||
|- | |- | ||
| | |||
| 7/5 | | 7/5 | ||
| 308.744 | | 308.744 | ||
|- | |- | ||
| | |||
| 7/6 | | 7/6 | ||
| 311.043 | | 311.043 | ||
|- | |- | ||
| | | 7\27 | ||
| | |||
| 311.111 | | 311.111 | ||
|- | |- | ||
| | |||
| 10/9 | | 10/9 | ||
| 311.400 | | 311.400 | ||
|- | |- | ||
| | |||
| 14/13 | | 14/13 | ||
| 311.447 | | 311.447 | ||
|- | |- | ||
| | |||
| 49/48 | | 49/48 | ||
| 311.491 | | 311.491 | ||
|- | |- | ||
| | | 27\104 | ||
| | |||
| 311.538 | | 311.538 | ||
|- | |- | ||
| | |||
| 13/12 | | 13/12 | ||
| 311.548 | | 311.548 | ||
|- | |- | ||
| | |||
| 8/7 | | 8/7 | ||
| 311.559 | | 311.559 | ||
|- | |- | ||
| | | 47\181 | ||
| | |||
| 311.602 | | 311.602 | ||
|- | |- | ||
| | |||
| 13/9 | | 13/9 | ||
| 311.608 | | 311.608 | ||
|- | |- | ||
| | |||
| 4/3 | | 4/3 | ||
| 311.650 | | 311.650 | ||
|- | |- | ||
| | | 20\77 | ||
| | |||
| 311.688 | | 311.688 | ||
|- | |- | ||
| | |||
| 28/27 | | 28/27 | ||
| 311.708 | | 311.708 | ||
|- | |- | ||
| | |||
| 15/13 | | 15/13 | ||
| 311.742 | | 311.742 | ||
|- | |- | ||
| | |||
| 16/15 | | 16/15 | ||
| 311.764 | | 311.764 | ||
|- | |- | ||
| | |||
| 9/7 | | 9/7 | ||
| 311.780 | | 311.780 | ||
|- | |- | ||
| | |||
| 13/10 | | 13/10 | ||
| 311.863 | | 311.863 | ||
|- | |- | ||
| | |||
| 5/4 | | 5/4 | ||
| 311.871 | | 311.871 | ||
|- | |- | ||
| | |||
| 16/13 | | 16/13 | ||
| 311.894 | | 311.894 | ||
|- | |- | ||
| | | 13\50 | ||
| | |||
| 312.000 | | 312.000 | ||
|- | |- | ||
| | |||
| 15/14 | | 15/14 | ||
| 312.037 | | 312.037 | ||
|- | |- | ||
| | |||
| 25/24 | | 25/24 | ||
| 312.070 | | 312.070 | ||
|- | |- | ||
| | | 6\23 | ||
| | |||
| 313.043 | | 313.043 | ||
|- | |- | ||
| | |||
| 6/5 | | 6/5 | ||
| 315.641 | | 315.641 | ||
Revision as of 00:25, 30 September 2021
See Starling temperaments #Oolong for more technical data.
Interval chain
In the following table, prime harmonics are in bold.
| # | Cents* | Approximate Ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 311.7 | 6/5 |
| 2 | 623.3 | 10/7 |
| 3 | 935.0 | 12/7 |
| 4 | 46.7 | 36/35, 40/39 |
| 5 | 358.3 | 16/13 |
| 6 | 670.0 | 96/65 |
| 7 | 981.7 | 160/91 |
| 8 | 93.4 | 96/91 |
| 9 | 405.0 | 91/72 |
| 10 | 716.7 | 91/60 |
| 11 | 1028.4 | 49/27, 65/36 |
| 12 | 140.0 | 13/12 |
| 13 | 451.7 | 13/10 |
| 14 | 763.4 | 14/9 |
| 15 | 1075.0 | 13/7, 28/15, 50/27 |
| 16 | 186.7 | 10/9, 28/25 |
| 17 | 498.4 | 4/3 |
| 18 | 810.0 | 8/5 |
| 19 | 1121.7 | 40/21, 48/25 |
| 20 | 233.4 | 8/7 |
* In 2.3.5.7.13 POTE tuning
Tuning spectrum
| ET generator |
eigenmonzo (unchanged interval) |
generator (¢) |
|---|---|---|
| 7/5 | 308.744 | |
| 7/6 | 311.043 | |
| 7\27 | 311.111 | |
| 10/9 | 311.400 | |
| 14/13 | 311.447 | |
| 49/48 | 311.491 | |
| 27\104 | 311.538 | |
| 13/12 | 311.548 | |
| 8/7 | 311.559 | |
| 47\181 | 311.602 | |
| 13/9 | 311.608 | |
| 4/3 | 311.650 | |
| 20\77 | 311.688 | |
| 28/27 | 311.708 | |
| 15/13 | 311.742 | |
| 16/15 | 311.764 | |
| 9/7 | 311.780 | |
| 13/10 | 311.863 | |
| 5/4 | 311.871 | |
| 16/13 | 311.894 | |
| 13\50 | 312.000 | |
| 15/14 | 312.037 | |
| 25/24 | 312.070 | |
| 6\23 | 313.043 | |
| 6/5 | 315.641 |