Kite Guitar Scales: Difference between revisions

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41edo admits [[oneirotonic]] scales based on the 16\41 or 25\41 generator, but these can be tricky to play on the Kite guitar, since they have five odd-numbered steps rather than three as in the scales listed above. For example, the Celephaisian mode has the step size pattern 7 2 7 7 2 7 7 2. This can be modified (with the general effect of softening the scale) by using 3-arrow intervals (m2) and 4-arrow intervals (^m2 or A1) for the small steps. To balance these out, the large steps would have to be primarily 6-arrow (vM2). To get the general oneirotonic feel, a 7-arrow large step (M2) is preferred over a 5-arrow one (~2) in the event that a large step with an odd number of arrows is needed.

~~An example~~ of ~~a modification~~ to ~~Celephaisian is~~ 6 ~~4 7~~ 6 3 6 6 3. ~~Modifications~~ to ~~oneirotonic modes generally add a perfect fifth or a perfect fourth above~~ the ~~tonic~~ if ~~we want~~ the ~~steps with odd numbers~~ of ~~arrows to be roughly evenly distributed. One notable exception is 3~~ 6 4 7 6 3 6 6~~, a modification of Sarnathian and the eighth mode of the modified Celephaisian.~~

If all three small steps are 3-arrow, all the large steps have to contain an even number of arrows for the scale not to be awkward, which means there would have to be an 8-arrow large step, which can be placed anywhere in the scale. This gives rise to these three scale paradigms, not counting inversions or modes:

* 8 3 6 6 3 6 6 3 (inversionally symmetric)

* 6 3 8 6 3 6 6 3

* 6 3 6 8 3 6 6 3

Alternatively, one of the small steps can be 4-arrow. It's easiest to spread out the odd numbered steps if the 4-arrow step isn't right in the middle of the scale, hence these possibilities:

* uponeirotonic: 6 4 7 6 3 6 6 3

* downoneirotonic: 6 3 6 6 3 6 7 4

=== Enneatonic (nine-tone) ===

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 edo admits [[oneirotonic]] scales based on the 16\41 or 25\41 generator, but these can be tricky to play on the Kite guitar, since they have five odd-numbered steps rather than three as in the scales listed above. For example, the Celephaisian mode has the step size pattern 7 2 7 7 2 7 7 2. This can be modified (with the general effect of softening the scale) by using 3-arrow intervals (m2) and 4-arrow intervals (^m2 or A1) for the small steps. To balance these out, the large steps would have to be primarily 6-arrow (vM2). To get the general oneirotonic feel, a 7-arrow large step (M2) is preferred over a 5-arrow one (~2) in the event that a large step with an odd number of arrows is needed.
-An example of a modification to Celephaisian is 6 4 7 6 3 6 6 3. Modifications to oneirotonic modes generally add a perfect fifth or a perfect fourth above the tonic if we want the steps with odd numbers of arrows to be roughly evenly distributed. One notable exception is 3 6 4 7 6 3 6 6, a modification of Sarnathian and the eighth mode of the modified Celephaisian.
+If all three small steps are 3-arrow, all the large steps have to contain an even number of arrows for the scale not to be awkward, which means there would have to be an 8-arrow large step, which can be placed anywhere in the scale. This gives rise to these three scale paradigms, not counting inversions or modes:
+* 8 3 6 6 3 6 6 3 (inversionally symmetric)
+* 6 3 8 6 3 6 6 3
+* 6 3 6 8 3 6 6 3
+Alternatively, one of the small steps can be 4-arrow. It's easiest to spread out the odd numbered steps if the 4-arrow step isn't right in the middle of the scale, hence these possibilities:
+* uponeirotonic: 6 4 7 6 3 6 6 3
+* downoneirotonic: 6 3 6 6 3 6 7 4
 === Enneatonic (nine-tone) ===