Intervals of Negri-9: Difference between revisions

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.

! | No. of Negri Generators(~125.6¢)

! colspan="4" | Unisons

| | 36/35~21/20~27/26

! colspan="4" | Seconds

| | 25/24~28/27~50/49~64/63

| | 16/15~15/14~14/13~13/12

| |  

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

! |  

| | 8/7~7/6~15/13

! colspan="4" | Ditones

| | 5/4~16/13

| | 9/7~13/10

! colspan="4" | Fourths

| | 7/5~18/13

! colspan="4" | Fifths

| | 10/7~13/9

! colspan="4" | Tetratones

| | 14/9~20/13

| | 8/5

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

| | Perfect semifourth (P6.5)

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

! colspan="4" | Sevenths

| |  

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

! colspan="4" | Octaves

| | 35/18~40/21~52/27

* In POTE 11-limit porcupine