What do you call a scale with 19 notes per octave? Howabout 17 notes per octave?
I know that a 12-note scale (as in the currently ubiquitous 12 equal temperament) is called "chromatic". In a chromatic system, there are sharps and/or flats, but no neighboring sharps and flats.
What is the name of the scale that includes all the following 19 notes?
C, C#, D?, D, D#, E?, E, E#/F?, F, F#, G?, G, G#, A?, A, A#, B?, B, B#/C?
Obviously, this scale can't be done in 12 equal temperament (where the sharps and flats are tempered into the same note). But is there a name for this scale?
On the Wikipedia article for "Chromatic scale", it includes a just tuning section that shows a Pythagorean (3-limit) and 5-limit (Ptolemaic) tuning of all the notes. However, 17 notes are shown for the Pythagorean one, and 19 for the Ptolemy's one. But the same article says that "chromatic" means 12 notes, so I assume it's just showing different options that can be used for the tuning of a chromatic scale. But what do you call a scale that includes all of them?
What is the name of a scale that includes all 19 or 17 of these notes?
Edit: Note that I'm looking for the name of the scale itself, not a temperament that includes approximations of it.
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19-tet or 19-EDO. 19-tet just attaches the suffix tet to 19 like quintet or octet or other Asian New Years numbers. 19-EDO means 19 equal divisions of the octave.
The Pythagorean chromatic scale uses 3-limit just intonation to get 17 pitches in the octave, with no notes between B and C or between E and F. Ptolemy's intense chromatic scale uses 5-limit just intonation to get 19 pitches in the octave, including B?/C? between B and C, E?/F? between E and F.
You can read a little bit about them at the Wikipedia entry for Chromatic Scale.
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