Oscillorwell: Difference between revisions
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'''Oscillorwell''' is a family of 22 tone | {{Novelty}} | ||
'''Oscillorwell''' is a family of [[Category:22-tone scales|22 tone]] [[temperament]]s with sinusoidally varying [[generator]]s. | |||
== Oscillorwell, 3/2 repeating version == | == 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. | 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" | ||
|0 | |0.000 | ||
|- | |- | ||
|37. | |37.519 | ||
|- | |- | ||
|88. | |88.325 | ||
|- | |- | ||
|160. | |160.479 | ||
|- | |- | ||
|203.912 | |203.912 | ||
| Line 16: | Line 17: | ||
|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 43: | ||
|968.827 | |968.827 | ||
|- | |- | ||
|1012. | |1012.260 | ||
|- | |- | ||
|1084. | |1084.414 | ||
|- | |- | ||
|1135. | |1135.220 | ||
|} | |} | ||
== Oscillorwell, 7/4 repeating version == | == 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. | 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" | ||
|0 | |0.000 | ||
|- | |- | ||
|36. | |36.939 | ||
|- | |- | ||
|76. | |76.870 | ||
|- | |- | ||
|162. | |162.743 | ||
|- | |- | ||
|202. | |202.674 | ||
|- | |- | ||
|268. | |268.111 | ||
|- | |- | ||
|308. | |308.042 | ||
|- | |- | ||
|350. | |350.966 | ||
|- | |- | ||
|433. | |433.846 | ||
|- | |- | ||
|470.785 | |470.785 | ||
|- | |- | ||
|539. | |539.214 | ||
|- | |- | ||
|582. | |582.139 | ||
|- | |- | ||
|626. | |626.302 | ||
|- | |- | ||
|701.957 | |701.957 | ||
| Line 82: | Line 83: | ||
|737.656 | |737.656 | ||
|- | |- | ||
|813. | |813.311 | ||
|- | |- | ||
|857. | |857.475 | ||
|- | |- | ||
|900. | |900.399 | ||
|- | |- | ||
|968.828 | |968.828 | ||
|- | |- | ||
|1005. | |1005.767 | ||
|- | |- | ||
|1088. | |1088.647 | ||
|- | |- | ||
|1131. | |1131.571 | ||
|} | |} | ||
{{todo|inline=1|improve synopsis|add definition|improve layout|link}} | |||
[[Category:22-tone scales]] | |||