Tritone: Difference between revisions

m Misc. edits, categories
m Make table sortable again, uniformize to 3 decimal places, categories
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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]]s, or sqrt(2). As such, the term is also used generally to refer to any pitch in the neighborhood of 600 ¢, or roughly halfway between [[4/3]] and [[3/2]].
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). As such, 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 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".
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".
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The following table compares selected JI tritone pairs:
The following table compares selected JI tritone pairs:


{| class="wikitable"
{| class="wikitable sortable center-all right-3"
! | Ratios  
! class="unsortable" | Ratios  
! | prime limit
! | prime limit
! | distance from 600c
! | distance from 600{{cent}}
|-
|-
| [[729/512]], [[1024/729]]  
| [[729/512]], [[1024/729]]  
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| [[99/70]], [[140/99]]
| [[99/70]], [[140/99]]
| 11
| 11
| 0.0883
| 0.088
|-
|-
| [[13/9]], [[18/13]]
| [[13/9]], [[18/13]]
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[[Category:Tritone]] <!-- main article -->
[[Category:Tritone]] <!-- main article -->
[[Category:Stub]]