19edt: Difference between revisions

|en = 19ed3

|de = Bernhard_Stopper

== Properties ==

19 equal divisions of the tritave is not a "real" xenharmonic tuning; it is a slightly stretched version (with an octave of 1201.2 cents) of the normal [[12edo|12-tone scale]]. Although it is really just the normal 12edo tuning framed in a tritave equivalence, it can still be used as a temperament with no twos like other tritave tunings, although limited accuracy, with [[5/3]] approximated as 9 steps and [[7/3]] approximated by 15 steps. It completely misses the next tritave-reduced prime harmonic, [[11/9]].

This approach can create very non-standard chords and scales such as the approximation of the 5:7:9 chord as 0–600–1100 cents. These could be considered xenharmonic in a sense, since they have little connection to standard 12-tone practice in spite of using the 12-tone interval set. The "default" approach to it is as a “macro-[[godzilla]]" temperament (with a generator of 400.4 cents and a 3:1 ratio {{sl|5L 4s}} scale, and it is an interesting coincidence how [[17edt]] and 19edt tonality have the same "default" scheme with two tones more or less). Beyond this, it also contains the tritave twin of [[meantone]] temperament (with a generator of 700.7 or 1201.2 cents), producing a basic [[8L 3s (3/1-equivalent)|Obikhod]] scale.

== Harmonics ==

{{Harmonics in equal

| steps = 19

| num = 3

| denom = 1

| intervals = integer

}}

{{Harmonics in equal

| steps = 19

| num = 3

| denom = 1

| start = 12

| collapsed = 1

| intervals = integer

}}

* [[7edf|7EDF]] – relative ED3/2

* [[12edo|12EDO]] – relative EDO

* [[28ed5|28ED5]] – relative ED5

* [[31ed6|31ED6]] – relative ED6

* [[34ed7|34ED7]] – relative ED7

* [[40ed10|40ED10]] – relative ED10

* [[43ed12|43ED12]] – relative ED12