Pinetone: Difference between revisions
Added section titles and added to intro |
Added tuning section |
||
| Line 147: | Line 147: | ||
The same scale is also available on G. | The same scale is also available on G. | ||
== Tunings == | |||
We could tune the scale in many different ways. The TE tuning given above consists of 7 large steps of 146.6352c, 1 medium step of 63.1434c, and 4 small steps of 27.4197c. | |||
We could instead tune to [[POTE tuning|POTE]] no-7 ptolemismic, resulting in a very similar 7L 1m 4s = (146.7247c, 63.1818c, 27.4363c). There are also least squares and minimax. I hope to figure those out. | |||
We could also tune to edos. Tuning to [[15edo]], [[22edo]] or [[29edo]] collapses the scale to a [[Porcupine]][8] scale, and tuning to [[19edo]] or [[31edo]] tempers the scale to a Meantone[12] scale. We can retain three step sizes if we tune to [[27edo]] (using 27e), [[34edo]], or to [[41edo]]. | |||
27edo: 7L 1m 4s = (3, 2, 1) = (133.3333c, 88.8889c, 44.4444c) | |||
34edo: 7L 1m 4s = (4, 2, 1) = (141.1765c, 70.5882c, 35.2941c) | |||
41edo: 7L 1m 4s = (5, 2, 1) = (146.3415c, 58.5366c, 29.2683c) | |||