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 cents, or sqrt(2). As such, the term is also used generally to refer to any pitch in the neighborhood of 600c, 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 cents, or sqrt(2). As such, the term is also used generally to refer to any pitch in the neighborhood of 600c, or roughly halfway between [[4/3]] and [[3/2]].

In ~~non-12~~ tunings, and particularly in JI, 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 12-EDO concept of the "tritone substitution."

In tunings other tnah 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 12-EDO concept of the "tritone substitution."

The following table compares selected tritone pairs:

{| class="wikitable sortable" style="text-align: right"

! class="unsortable" | Ratios

! p-limit

! delta

|-

| style="text-align: center" | [[7/5]], [[10/7]]

| 7

| 17.488

|-

| style="text-align: center" | [[45/32]], [[64/45]]

| 5

| 9.776

|-

| style="text-align: center" | [[24/17]], [[17/12]]

| 17

| 3.000

|-

| style="text-align: center" | [[23/16]], [[32/23]]

| 23

| 28.274

|}

[[Category:Tritone| ]]

[[Category:Interval]]

[[Category:Stub]]

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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 cents, or sqrt(2).  As such, the term is also used generally to refer to any pitch in the neighborhood of 600c, 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 cents, or sqrt(2). As such, the term is also used generally to refer to any pitch in the neighborhood of 600c, or roughly halfway between [[4/3]] and [[3/2]].
-In non-12 tunings, and particularly in JI, 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 12-EDO concept of the "tritone substitution."
+In tunings other tnah 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 12-EDO concept of the "tritone substitution."
+The following table compares selected tritone pairs:
+{| class="wikitable sortable" style="text-align: right"
+! class="unsortable" | Ratios
+! p-limit
+! delta
+|-
+| style="text-align: center" | [[7/5]], [[10/7]]
+| 7
+| 17.488
+|-
+| style="text-align: center" | [[45/32]], [[64/45]]
+| 5
+| 9.776
+|-
+| style="text-align: center" | [[24/17]], [[17/12]]
+| 17
+| 3.000
+|-
+| style="text-align: center" | [[23/16]], [[32/23]]
+| 23
+| 28.274
+|}
+[[Category:Tritone| ]] <!-- main article -->
+[[Category:Interval]]
 [[Category:Stub]]