Tritone: Difference between revisions
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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 | 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 | ! | distance from 600{{cent}} | ||
|- | |- | ||
| [[729/512]], [[1024/729]] | | [[729/512]], [[1024/729]] | ||
| Line 24: | Line 24: | ||
| [[99/70]], [[140/99]] | | [[99/70]], [[140/99]] | ||
| 11 | | 11 | ||
| 0. | | 0.088 | ||
|- | |- | ||
| [[13/9]], [[18/13]] | | [[13/9]], [[18/13]] | ||
| Line 48: | Line 48: | ||
[[Category:Tritone]] <!-- main article --> | [[Category:Tritone]] <!-- main article --> | ||
Revision as of 16:03, 23 March 2022
The tritone is the name of a musical interval that is made up of three whole tones. In 12edo, the tritone is exactly 600 ¢, 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.
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".
The following table compares selected JI tritone pairs:
| Ratios | prime limit | distance from 600 ¢ |
|---|---|---|
| 729/512, 1024/729 | 3 | 11.730 |
| 45/32, 64/45 | 5 | 9.776 |
| 7/5, 10/7 | 7 | 17.488 |
| 99/70, 140/99 | 11 | 0.088 |
| 13/9, 18/13 | 13 | 36.618 |
| 24/17, 17/12 | 17 | 3.000 |
| 27/19, 38/27 | 19 | 8.352 |
| 23/16, 32/23 | 23 | 28.274 |
| 41/29, 58/41 | 41 | 0.515 |