Intervals of Negri-9: Difference between revisions

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This is one possible naming system for intervals of [[Negri|negri]] temperament based on the negri[9] scale. The names of intervals are chosen to give intuition for those used to diatonic interval naming conventions, even when this results in a slight abuse of notation. For example, 3 step intervals are called "ditones", not because the true ditone of 81/64 would be rendered as such (this system would refer to the interval mapping to 81/64 as a doubly augmented semifourth), but because the "ditones" which appear naturally in the negri[9] MOS scale are either a little larger (major) or a little smaller (minor) than a true ditone. 3-limit intervals, and [[Interseptimal|intervals that divide 3-limit intervals exactly in half]] are referred to as "perfect" regardless of how commonly they occur in the MOS scale.

This is one possible naming system, suggested by [[Ray Perlner]], for intervals of [[Negri|negri]] temperament based on the negri[9] scale. The names of intervals are chosen to give intuition for those used to diatonic interval naming conventions, even when this results in a slight abuse of notation. For example, 3 step intervals are called "ditones", not because the true ditone of 81/64 would be rendered as such (this system would refer to the interval mapping to 81/64 as a doubly augmented semifourth), but because the "ditones" which appear naturally in the negri[9] MOS scale are either a little larger (major) or a little smaller (minor) than a true ditone. 3-limit intervals, and [[Interseptimal|intervals that divide 3-limit intervals exactly in half]] are referred to as "perfect" regardless of how commonly they occur in the MOS scale.

{| class="wikitable"

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| | 9/8

| | -8

| |

| | Also "major wholetone"

|-

! colspan="4" | [[Interseptimal|Semifourths]]

! |

|-

| | Diminished semifourth (d2.5)

| | 181.2

| | 10/9

| | 11

| | Also "minor wholetone"

|-

| | Perfect semifourth (P2.5)

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| | Also "major sixth"

|-

| | Perfect ~~semifourth~~ (P6.5)

| | Perfect semitwelfth (P6.5)

| | 948.9

| | 7/4~12/7~26/15

| | -2

| | Also "supermajor sixth"

|-

| | Augmented semitwelfth (A6.5)

| | 948.9

| | 9/5

| | -11

| | Also "just minor seventh"

|-

! colspan="4" | Sevenths

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| | 16/9

| | 8

| |

| | Also "Pythagorean Minor 7th"

|-

| | Major seventh (M7)

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| | 15/8~13/7~28/15~24/13

| | -1

| |

|-

| | Augmented seventh (A7)

| | 1144.3

| | 48/25~27/14~49/25~63/32

| | -10

| |

|-

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-This is one possible naming system for intervals of [[Negri|negri]] temperament based on the negri[9] scale. The names of intervals are chosen to give intuition for those used to diatonic interval naming conventions, even when this results in a slight abuse of notation. For example, 3 step intervals are called "ditones", not because the true ditone of 81/64 would be rendered as such (this system would refer to the interval mapping to 81/64 as a doubly augmented semifourth), but because the "ditones" which appear naturally in the negri[9] MOS scale are either a little larger (major) or a little smaller (minor) than a true ditone. 3-limit intervals, and [[Interseptimal|intervals that divide 3-limit intervals exactly in half]] are referred to as "perfect" regardless of how commonly they occur in the MOS scale.
+This is one possible naming system, suggested by [[Ray Perlner]], for intervals of [[Negri|negri]] temperament based on the negri[9] scale. The names of intervals are chosen to give intuition for those used to diatonic interval naming conventions, even when this results in a slight abuse of notation. For example, 3 step intervals are called "ditones", not because the true ditone of 81/64 would be rendered as such (this system would refer to the interval mapping to 81/64 as a doubly augmented semifourth), but because the "ditones" which appear naturally in the negri[9] MOS scale are either a little larger (major) or a little smaller (minor) than a true ditone. 3-limit intervals, and [[Interseptimal|intervals that divide 3-limit intervals exactly in half]] are referred to as "perfect" regardless of how commonly they occur in the MOS scale.
 {| class="wikitable"
@@ Line 43: / Line 43: @@
 | | 9/8
 | | -8
-| |
+| | Also "major wholetone"
 |-
 ! colspan="4" | [[Interseptimal|Semifourths]]
 ! |
+|-
+| | Diminished semifourth (d2.5)
+| | 181.2
+| | 10/9
+| | 11
+| | Also "minor wholetone"
 |-
 | | Perfect semifourth (P2.5)
@@ Line 129: / Line 135: @@
 | | Also "major sixth"
 |-
-| | Perfect semifourth (P6.5)
+| | Perfect semitwelfth (P6.5)
 | | 948.9
 | | 7/4~12/7~26/15
 | | -2
 | | Also "supermajor sixth"
+|-
+| | Augmented semitwelfth (A6.5)
+| | 948.9
+| | 9/5
+| | -11
+| | Also "just minor seventh"
 |-
 ! colspan="4" | Sevenths
@@ Line 142: / Line 154: @@
 | | 16/9
 | | 8
-| |
+| | Also "Pythagorean Minor 7th"
 |-
 | | Major seventh (M7)
@@ Line 148: / Line 160: @@
 | | 15/8~13/7~28/15~24/13
 | | -1
+| |
+|-
+| | Augmented seventh (A7)
+| | 1144.3
+| | 48/25~27/14~49/25~63/32
+| | -10
 | |
 |-