Tritone: Difference between revisions

The '''tritone''' is the name of a musical interval that is made up of three [[tone|whole tones]]. In [[12edo]], the tritone is exactly 600{{cent}}, or sqrt(2), and due to the predominance of this tuning, the term is also used generally to refer to any pitch in the neighborhood of 600{{cent}}, or roughly halfway between [[4/3]] and [[3/2]]. In Medieval music theory, "tritone" referred more specifically to [[729/512]], this being the interval found by combining three whole tones: ([[9/8]])³.  

In tunings other than 12edo, and particularly in [[just intonation]], there are a number of different tritones which have subtly different flavors, such as [[7/5]] and [[10/7]]. The temperament eliminating [[50/49]] is of particular interest in that it equates these two tritones, and provides a JI basis for the 12edo concept of the "tritone substitution". More specifically, an interval can be classified as a tritone if it is reasonably mapped to 12\24. The use of [[24edo]]'s 12\24 rather than 12edo's 6\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]].  

! Prime<br>limit

! Distance<br>from 600{{cent}}

! Comma

| [[Pythagorean comma|531441/524288]]

| [[Diaschisma|2048/2025]]

| [[50/49]]

| [[9801/9800]]

| [[169/162]]

| [[289/288]]

| [[729/722]]

| [[544/529]]

| [[1682/1681]]