Hobbled scale
TOTYW: 23EDO explorations rough draft
Resources:
23EDO is an extremely weird tuning. It's closest approximation of 3/2 is extremely flat. It doesn't contain a diatonic 5L 2s scale, and has a terrible approximation of every prime harmonic whilst also having remarkably many notes.
Because 23edo has two intervals that can pass as a fifth at 13\23 and 14\23, we've taken to analysing 23edo as a dual fifth tuning.
23edo also doesn't have a strong scale from which to analyse it - If using the flat fifth to generate a scale and notate the tuning, you generate an antidiatonic 2L 5s scale, making it extremely difficult to parse using standard notation. If you use the sharp fifth as a generator the oneirotonic scale is generated.
Igliashon Jones also suggests using a dodecaphonic approach, using a 1L 11s scale that operates similar to a 12-edo.
23 doesn't have a clear dominant scale from which to structure our lens of harmony - There exist multiple competing structures that are all remarkably powerful in their own right. As such we've taken to developing tools for analyzing the qualia of chords and intervals divorced from the traditional approach.
(Analysis of available chords, notation for naming all possible seventh chords with dual fifths etc)
- Analysis of available MOSes, modes and similar scales.
Creating a map of modulations between different scales?
- Research into timbre optimization
find the effects of timbral differences on different scales. Find timbral use cases for different Intervals? chords? scales?
Timbre is a very important focus when songwriting in 23edo. Timbres with inharmonic overtones
- Dual-fifth composition
taking advantage of the both minor and major fifths (~670c and 730c). Scales that contain both or modulations between twin fifth scales
- Notation study
build experience applying pitch/set class notation (using numbers 0-22 as notation instead of letters) for non-antidiatonic pieces
- Dissection and analysis of existing 23 music