Tritone: Difference between revisions

Line 1:

A '''tritone''' is an interval that is ~~near 600{{cent}} in size, distinct from the~~ [[~~perfect fifth~~]] of ~~roughly 700{{c}} and~~ the [[~~perfect fourth~~]] of ~~roughly 500{{c}}. A rough tuning range for~~ the ~~tritone is about 540 to 660{{c}}, however people tend to narrow that range to around 570 to 630{{c}} in order to treat superfourths~~ and ~~subfifths as distinct categories~~. ~~In this case~~, ~~for~~ the ~~sake of conciseness, however, they are treated as tritones~~.

A '''tritone''' is an interval that spans six steps of a 12-tone [[chromatic]] scale. In [[just intonation]], an interval may be classified as a tritone if it is reasonably mapped to [[24edo|12\24]]. The use of 24edo's 12\24 as the mapping criteria here rather than [[12edo]]'s 6\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. Tritones come in octave-complementary pairs, called '''augmented fourth''' ('''A4''') and '''diminished fifth''' ('''d5''') based on their number of steps in the [[5L 2s|diatonic]] scale.

~~The term "~~tritone" can also refer to the semi-octave, a tritone of exactly 600~~{{c}}~~ found in every even [[~~EDO~~]], due to the fact that it is 1\[[2edo]]. ~~This is not~~ the ~~main subject~~ of this page, ~~but the semi-octave~~ is ~~significant to the nature~~ of ~~tritones so it will be referenced further~~.

As a concrete [[interval region]], it is typically near 600 [[Cent|cents]] in size. A rough tuning range for the tritone is about 560 to 640 cents according to [[Margo Schulter]]'s theory of interval regions. ''Tritone'' in this sense can also refer to the semi-octave, a tritone of exactly 600 cents found in every even [[edo]], due to the fact that it is [[2edo|1\2edo]].

For the sake of fully covering the range of intervals within the octave, this page also covers '''semiaugmented fourths''' of about 550 cents, and '''semidiminished fifths''' of about 650 cents. Whether these are considered tritones is a matter of debate.

== In just intonation ==

@@ Line 1: / Line 1: @@
-A '''tritone''' is an interval that is near 600{{cent}} in size, distinct from the [[perfect fifth]] of roughly 700{{c}} and the [[perfect fourth]] of roughly 500{{c}}. A rough tuning range for the tritone is about 540 to 660{{c}}, however people tend to narrow that range to around 570 to 630{{c}} in order to treat superfourths and subfifths as distinct categories. In this case, for the sake of conciseness, however, they are treated as tritones.
+A '''tritone''' is an interval that spans six steps of a 12-tone [[chromatic]] scale. In [[just intonation]], an interval may be classified as a tritone if it is reasonably mapped to [[24edo|12\24]]. The use of 24edo's 12\24 as the mapping criteria here rather than [[12edo]]'s 6\12 better captures the characteristics of many intervals in the [[11-limit|11-]] and [[13-limit]]. Tritones come in octave-complementary pairs, called '''augmented fourth''' ('''A4''') and '''diminished fifth''' ('''d5''') based on their number of steps in the [[5L 2s|diatonic]] scale.
-The term "tritone" can also refer to the semi-octave, a tritone of exactly 600{{c}} found in every even [[EDO]], due to the fact that it is 1\[[2edo]]. This is not the main subject of this page, but the semi-octave is significant to the nature of tritones so it will be referenced further.
+As a concrete [[interval region]], it is typically near 600 [[Cent|cents]] in size. A rough tuning range for the tritone is about 560 to 640 cents according to [[Margo Schulter]]'s theory of interval regions. ''Tritone'' in this sense can also refer to the semi-octave, a tritone of exactly 600 cents found in every even [[edo]], due to the fact that it is [[2edo|1\2edo]].
+For the sake of fully covering the range of intervals within the octave, this page also covers '''semiaugmented fourths''' of about 550 cents, and '''semidiminished fifths''' of about 650 cents. Whether these are considered tritones is a matter of debate.
 == In just intonation ==