Tritone: Difference between revisions

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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~~.

A '''tritone''', as a concrete [[interval region]], 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]].

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~~]].

Functionally, 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 6 steps of the chromatic scale. 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.

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. Note that these are not conventionally considered tritones, and are included here for simplicity (and frankly for having more than one pair of simple ratios to use in the EDO section). More info may be found at [[semiaugmented fourth]] and [[semidiminished fifth]].

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 {{Wikipedia}}
-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.
+A '''tritone''', as a concrete [[interval region]], 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]].
-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]].
+Functionally, 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 6 steps of the chromatic scale. 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.
 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. Note that these are not conventionally considered tritones, and are included here for simplicity (and frankly for having more than one pair of simple ratios to use in the EDO section). More info may be found at [[semiaugmented fourth]] and [[semidiminished fifth]].