Intervals of Negri-9: Difference between revisions
Added some table entries and attribution of the naming system. |
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! | Size* | ! | Size* | ||
! | Ratio | ! | Ratio | ||
! | | ! | Number of <br>generators | ||
! | Comments | ! | Comments | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Unisons | ||
|- | |- | ||
| | Perfect unison (P1) | | | Perfect unison (P1) | ||
Line 20: | Line 19: | ||
| | Augmented unison (A1) | | | Augmented unison (A1) | ||
| | 69.9 | | | 69.9 | ||
| | | | | 21/20, 27/26, 36/35 | ||
| | -9 | | | -9 | ||
| | | | | | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Seconds | ||
|- | |- | ||
| | Diminished second (d2) | | | Diminished second (d2) | ||
| | 55.7 | | | 55.7 | ||
| | 25/24 | | | 25/24, 28/27, 50/49, 64/63 | ||
| | 10 | | | 10 | ||
| | "Negri[10] Chroma" | | | "Negri[10] Chroma" | ||
Line 35: | Line 33: | ||
| | Minor second (m2) | | | Minor second (m2) | ||
| | 125.6 | | | 125.6 | ||
| | | | | 13/12, 14/13, 15/14, 16/15 | ||
| | 1 | | | 1 | ||
| | | | | | ||
Line 45: | Line 43: | ||
| | Also "major wholetone" | | | Also "major wholetone" | ||
|- | |- | ||
! colspan=" | ! colspan="5" | [[Interseptimal|Semifourths]] | ||
|- | |- | ||
| | Diminished semifourth (d2.5) | | | Diminished semifourth (d2.5) | ||
Line 56: | Line 53: | ||
| | Perfect semifourth (P2.5) | | | Perfect semifourth (P2.5) | ||
| | 251.1 | | | 251.1 | ||
| | 8/7 | | | 7/6, 8/7, 15/13 | ||
| | 2 | | | 2 | ||
| | | | | | ||
Line 66: | Line 63: | ||
| | Also "minor third" | | | Also "minor third" | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Ditones | ||
|- | |- | ||
| | Minor ditone (m3.3) | | | Minor ditone (m3.3) | ||
| | 376.7 | | | 376.7 | ||
| | 5/4 | | | 5/4, 16/13 | ||
| | 3 | | | 3 | ||
| | Also "major third" | | | Also "major third" | ||
Line 77: | Line 73: | ||
| | Major ditone (M3.3) | | | Major ditone (M3.3) | ||
| | 446.6 | | | 446.6 | ||
| | 9/7 | | | 9/7, 13/10 | ||
| | -6 | | | -6 | ||
| | Also "supermajor third" | | | Also "supermajor third" | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Fourths | ||
|- | |- | ||
| | Perfect fourth (P4) | | | Perfect fourth (P4) | ||
Line 92: | Line 87: | ||
| | Augmented fourth (A4) | | | Augmented fourth (A4) | ||
| | 572.2 | | | 572.2 | ||
| | 7/5 | | | 7/5, 18/13 | ||
| | -5 | | | -5 | ||
| | | | | | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Fifths | ||
|- | |- | ||
| | Diminished fifth (d5) | | | Diminished fifth (d5) | ||
| | 628.8 | | | 628.8 | ||
| | 10/7 | | | 10/7, 13/9 | ||
| | 5 | | | 5 | ||
| | Also "supermajor fourth" | | | Also "supermajor fourth" | ||
Line 111: | Line 105: | ||
| | | | | | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Tetratones | ||
|- | |- | ||
| | Minor tetratone (m5.7) | | | Minor tetratone (m5.7) | ||
| | 753.4 | | | 753.4 | ||
| | 14/9 | | | 14/9, 20/13 | ||
| | 6 | | | 6 | ||
| | Also "subminor sixth" | | | Also "subminor sixth" | ||
Line 122: | Line 115: | ||
| | Major tetratone (M5.7) | | | Major tetratone (M5.7) | ||
| | 813.5 | | | 813.5 | ||
| | 8/5 | | | 8/5, 13/8 | ||
| | -3 | | | -3 | ||
| | Also "minor sixth" | | | Also "minor sixth" | ||
|- | |- | ||
! colspan=" | ! colspan="5" | [[Interseptimal|Semitwelfths]] | ||
|- | |- | ||
| | diminished semitwelfth (d6.5) | | | diminished semitwelfth (d6.5) | ||
Line 137: | Line 129: | ||
| | Perfect semitwelfth (P6.5) | | | Perfect semitwelfth (P6.5) | ||
| | 948.9 | | | 948.9 | ||
| | 7/4 | | | 7/4, 12/7, 26/15 | ||
| | -2 | | | -2 | ||
| | Also "supermajor sixth" | | | Also "supermajor sixth" | ||
|- | |- | ||
| | Augmented semitwelfth (A6.5) | | | Augmented semitwelfth (A6.5) | ||
| | | | | 1017.8 | ||
| | 9/5 | | | 9/5 | ||
| | -11 | | | -11 | ||
| | Also "just minor seventh" | | | Also "just minor seventh" | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Sevenths | ||
|- | |- | ||
| | Minor seventh (m7) | | | Minor seventh (m7) | ||
Line 154: | Line 145: | ||
| | 16/9 | | | 16/9 | ||
| | 8 | | | 8 | ||
| | Also "Pythagorean | | | Also "Pythagorean minor 7th" | ||
|- | |- | ||
| | Major seventh (M7) | | | Major seventh (M7) | ||
| | 1074.4 | | | 1074.4 | ||
| | 15/8 | | | 13/7, 15/8, 24/13, 28/15 | ||
| | -1 | | | -1 | ||
| | | | | | ||
Line 164: | Line 155: | ||
| | Augmented seventh (A7) | | | Augmented seventh (A7) | ||
| | 1144.3 | | | 1144.3 | ||
| | 48/25 | | | 27/14, 48/25, 49/25, 63/32 | ||
| | -10 | | | -10 | ||
| | | | | | ||
|- | |- | ||
! colspan=" | ! colspan="5" | Octaves | ||
|- | |- | ||
| | Diminished octave (d8) | | | Diminished octave (d8) | ||
| | 1130.1 | | | 1130.1 | ||
| | 35/18 | | | 35/18, 40/21, 52/27 | ||
| | 9 | | | 9 | ||
| | | | | | ||
Line 181: | Line 171: | ||
| | 2/1 | | | 2/1 | ||
| | 0 | | | 0 | ||
| | | | | | ||
|} | |} | ||
* In POTE | <nowiki>*</nowiki> In 2.3.5.7.13 subgroup POTE tuning | ||
[[Category:Negri]] | [[Category:Negri]] | ||
[[Category:Lists of intervals]] |