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We know 7-note based scales are called "HEPTATONIC" and 5-note based "PENTATONIC", but with AutoTonic's revolutionary MODAL transposing we've wondered what the others are called like. According to the "Attic Greek" dialect we should be able to classify them 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: -No Wikipedia av.-
10 deka- [δεκα], Decatonic Scale: -No Wikipedia av.-
11 hendeka- [ἑνδεκα], Hendecatonic scale: -No Wikipedia av.-
12 dōdeka- [δωδεκα], Dodekatonic scale (Chromatic): -No Wikipedia av.-

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 = 24,576
THAT MAKES AN INCREDIBLE TOTAL OF 24,576 SCALES TO CHOOSE FROM.


We know 7-note based scales are called "HEPTATONIC" and 5-note based "PENTATONIC", but with AutoTonic's revolutionary MODAL transposing we've wondered what the others are called like. According to the "Attic Greek" dialect we should be able to classify them 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: -No Wikipedia av.-
10 deka- [δεκα], Decatonic Scale: -No Wikipedia av.-
11 hendeka- [ἑνδεκα], Hendecatonic scale: -No Wikipedia av.-
12 dōdeka- [δωδεκα], Dodekatonic scale (Chromatic): -No Wikipedia av.-

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 = 24,576
THAT MAKES AN INCREDIBLE TOTAL OF 24,576 SCALES TO CHOOSE FROM.