Oscillorwell: Difference between revisions
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AthiTrydhen (talk | contribs) Created page with "'''Oscillorwell''' is a family of 22 tone temperaments with sinusoidally varying generators. == Oscillorwell, 3/2 repeating version == The formula for the nth generator is 12..." |
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The formula for the nth generator is 1200*log(7/6,2) + 9.674*sin(pi n/7)^2, where the factor is chosen so that every seventh generator would form a just 3/2. | The formula for the nth generator is 1200*log(7/6,2) + 9.674*sin(pi n/7)^2, where the factor is chosen so that every seventh generator would form a just 3/2. | ||
{| class="wikitable" | {| class="wikitable" | ||
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|- | |- | ||
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|- | |- | ||
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|- | |- | ||
|160. | |160.479 | ||
|- | |- | ||
|203.912 | |203.912 | ||
| Line 16: | Line 16: | ||
|266.871 | |266.871 | ||
|- | |- | ||
|310. | |310.304 | ||
|- | |- | ||
|364. | |364.391 | ||
|- | |- | ||
|433. | |433.264 | ||
|- | |- | ||
|470.783 | |470.783 | ||
|- | |- | ||
|535. | |535.563 | ||
|- | |- | ||
|586. | |586.370 | ||
|- | |- | ||
|637. | |637.176 | ||
|- | |- | ||
|701.956 | |701.956 | ||
|- | |- | ||
|739. | |739.475 | ||
|- | |- | ||
|808. | |808.348 | ||
|- | |- | ||
|862. | |862.435 | ||
|- | |- | ||
|905.868 | |905.868 | ||
| Line 42: | Line 42: | ||
|968.827 | |968.827 | ||
|- | |- | ||
|1012. | |1012.260 | ||
|- | |- | ||
|1084. | |1084.414 | ||
|- | |- | ||
|1135. | |1135.220 | ||
|} | |} | ||
| Line 52: | Line 52: | ||
The formula for the nth generator is 1200*log(7/6,2) + 8.465*sin(pi n/8)^2, where the factor is chosen so that every eighth generator would form a just 7/4. | The formula for the nth generator is 1200*log(7/6,2) + 8.465*sin(pi n/8)^2, where the factor is chosen so that every eighth generator would form a just 7/4. | ||
{| class="wikitable" | {| class="wikitable" | ||
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|- | |- | ||
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|- | |- | ||
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|162. | |162.743 | ||
|- | |- | ||
|202. | |202.674 | ||
|- | |- | ||
|268. | |268.111 | ||
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|308. | |308.042 | ||
|- | |- | ||
|350. | |350.966 | ||
|- | |- | ||
|433. | |433.846 | ||
|- | |- | ||
|470.785 | |470.785 | ||
|- | |- | ||
|539. | |539.214 | ||
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|582. | |582.139 | ||
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| Line 82: | Line 82: | ||
|737.656 | |737.656 | ||
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|857. | |857.475 | ||
|- | |- | ||
|900. | |900.399 | ||
|- | |- | ||
|968.828 | |968.828 | ||
|- | |- | ||
|1005. | |1005.767 | ||
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|1088. | |1088.647 | ||
|- | |- | ||
|1131. | |1131.571 | ||
|} | |} | ||
Revision as of 06:18, 5 September 2022
Oscillorwell is a family of 22 tone temperaments with sinusoidally varying generators.
Oscillorwell, 3/2 repeating version
The formula for the nth generator is 1200*log(7/6,2) + 9.674*sin(pi n/7)^2, where the factor is chosen so that every seventh generator would form a just 3/2.
| 0.000 |
| 37.519 |
| 88.325 |
| 160.479 |
| 203.912 |
| 266.871 |
| 310.304 |
| 364.391 |
| 433.264 |
| 470.783 |
| 535.563 |
| 586.370 |
| 637.176 |
| 701.956 |
| 739.475 |
| 808.348 |
| 862.435 |
| 905.868 |
| 968.827 |
| 1012.260 |
| 1084.414 |
| 1135.220 |
Oscillorwell, 7/4 repeating version
The formula for the nth generator is 1200*log(7/6,2) + 8.465*sin(pi n/8)^2, where the factor is chosen so that every eighth generator would form a just 7/4.
| 0.000 |
| 36.939 |
| 76.870 |
| 162.743 |
| 202.674 |
| 268.111 |
| 308.042 |
| 350.966 |
| 433.846 |
| 470.785 |
| 539.214 |
| 582.139 |
| 626.302 |
| 701.957 |
| 737.656 |
| 813.311 |
| 857.475 |
| 900.399 |
| 968.828 |
| 1005.767 |
| 1088.647 |
| 1131.571 |