## 24,576 Scales feasible

With AutoTonic it has become possible. now, for the first time in history, to truly modally map ANY existing scale in a logical way (there exist 24,576 scales based on 12 pitches in Western Tonal Music).

It's AutoTonic's 'Scale Modifier' where you can freely assign any desired pattern of intervals per octave …

It is well known that 7-note based scales are called "Heptatonic" and 5-note based scales "Pentatonic", but AutoTonic's revolutionary MODAL transposing method looks even beyond that! According to the "Attic Greek" dialect we should be able to classify these other remaining (and mostly unexplored) scales somehow like this:

01 mono- [μονο], Monotonic Scale (Unisons): http://bit.ly/2qKwMID

02 di- [δι], Ditonic scale: http://bit.ly/2q5VG40

03 tri- [τρι], Tritonic scale: http://bit.ly/2rEIB2U

04 tetra- [τετρα], Tetratonic scale: http://bit.ly/2pYE12a

05 penta- [πεντα], Pentatonic Scale: http://bit.ly/1seHFSl

06 hexa- [ἑξα], Hexatonic Scale: http://bit.ly/2q8OH9V

07 hepta- [ἑπτα], Heptatonic Scale: http://bit.ly/2rESttI

08 octa- [ὀκτα], Octattonic Scale: http://bit.ly/2rEsr9J

09 ennea- [ἐννεα], Enneatonic Scale: -Wikipedia n/a-

10 deka- [δεκα], Decatonic Scale: -Wikipedia n/a-

11 hendeka- [ἑνδεκα], Hendecatonic scale: -Wikipedia n/a-

12 dōdeka- [δωδεκα], Dodekatonic scale (Chromatic): -Wikipedia n/a-

Interesting side effect: the more OR less intervals a scale has, the less "permute combination versions" it allows of!

Example: While the Hendecatonic scale allows only of 11 combinations (11 "n" places where the 1 missing "r" interval can be) the Hexatonic scale (all combinations of 5 intervals "r" to be placed at 11 positions "n") offers up to 462 combinations, the same for the Heptatonic scale (also 5 intervals "r" at 11 places "n").

That results in…

Monotonic scale: 0 combinations

Ditonic scale: 11 combinations

Tritonic scale: 55 combinations

Tetratonic scale: 165 combinations

Pentatonic scale: 330 combinations

Hexatonic scale: 462 combinations

Heptatonic scale: 462 combinations

Octatonic scale: 330 combinations

Enneatonic scale: 165 combinations

Decatonic scale: 55 combinations

Hendecatonic scale: 11 combinations

Dodekatonic scale: 0 combinations

… and each combination can be mixed with one of the twelve unique Tonics, of course:

In Short:

(1 + 11 + 55 + 165 + 330 + 462 + 462 + 330 + 165 + 55 + 11 + 1) × 12 =

THAT MAKES AN INCREDIBLE TOTAL OF __24,576 SCALES__ TO CHOOSE FROM.

… in this above linked video you can – for the first time ever – hear every such existing and feasible scale in western tonal music [that's 2,048 SCALES], based on the tonic "C" in 2-Octave-runs (up/down) using a basic Piano-Sound. There exist even more possible combinations than the in the video shown, if also considering all the other TONICs: "C#,D,D#,E,F,F#,G,G#,A,A#,B" [this results in 24,576 feasible SCALES then because the math is: 2^11x12=24,576] but to keep it 'simple' this video shows only the cases with TONIC=C.

2,048 Scales x 12 Tonics

Below (link) you can find the complete list of all unique 2,048 combinations of feasible scales based on TONIC=C in AutoTonic – yes, all these scales could also have one of the other tonics C#,D,D#,E,F,F#,G,G#,A,A#,B as well. And since this had already become quite a lengthy video [Total Time=1h:17m:53s] in below's video you may also find the corresponding video markers, which will bring you straight to the corresponding scale types(s): AutoTonic Scale Permutations.html