15edo/Interval names: Difference between revisions
Jump to navigation
Jump to search
m Categories |
Updated "Lilly's List" |
||
| Line 3: | Line 3: | ||
{| class="wikitable" | {| class="wikitable" | ||
! | ! Steps | ||
! | ! Cents | ||
! [http://musictheory.zentral.zone/huntsystem4.html Aaron's Answer] | ! [http://musictheory.zentral.zone/huntsystem4.html Aaron's Answer] | ||
! [[Extra-Diatonic Intervals|Igs' Input]] | ! [[Extra-Diatonic Intervals|Igs' Input]] | ||
| Line 12: | Line 12: | ||
! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak] | ! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak] | ||
! [[Ups and Downs Notation|Ups and Downs]] | ! [[Ups and Downs Notation|Ups and Downs]] | ||
! [[ | ! [[SKULO interval names|Lilly's List]] | ||
! | ! Ratios | ||
|- | |- | ||
| 0 | | 0 | ||
| Line 36: | Line 36: | ||
| pai-P1 | | pai-P1 | ||
| ^1, ^m2 | | ^1, ^m2 | ||
| | | K1 | ||
| [[25/24]], [[21/20]], [[16/15]] | | [[25/24]], [[21/20]], [[16/15]] | ||
|- | |- | ||
| Line 48: | Line 48: | ||
| pao-M2 | | pao-M2 | ||
| vM2 | | vM2 | ||
| | | kM2 | ||
| [[11/10]], [[12/11]], [[10/9]] | | [[11/10]], [[12/11]], [[10/9]] | ||
|- | |- | ||
| Line 60: | Line 60: | ||
| M2 | | M2 | ||
| M2, m3 | | M2, m3 | ||
| | | SM2/sm3 | ||
| [[8/7]], [[7/6]], [[9/8]] | | [[8/7]], [[7/6]], [[9/8]] | ||
|- | |- | ||
| Line 72: | Line 72: | ||
| pai-m3 | | pai-m3 | ||
| ^m3 | | ^m3 | ||
| | |Km3 | ||
| [[6/5]], [[11/9]] | | [[6/5]], [[11/9]] | ||
|- | |- | ||
| Line 84: | Line 84: | ||
| pao-M3 | | pao-M3 | ||
| vM3 | | vM3 | ||
| | |kM3 | ||
| [[5/4]], [[14/11]] | | [[5/4]], [[14/11]] | ||
|- | |- | ||
| Line 96: | Line 96: | ||
| P4 | | P4 | ||
| M3, P4, d5 | | M3, P4, d5 | ||
| | | SM3/s4 | ||
| [[4/3]], [[9/7]], [[21/16]] | | [[4/3]], [[9/7]], [[21/16]] | ||
|- | |- | ||
| Line 108: | Line 108: | ||
| pai-P4 | | pai-P4 | ||
| ^4, ^d5 | | ^4, ^d5 | ||
| | |K4 | ||
| [[11/8]], [[7/5]] | | [[11/8]], [[7/5]] | ||
|- | |- | ||
| Line 120: | Line 120: | ||
| pao-P5 | | pao-P5 | ||
| vA4, v5 | | vA4, v5 | ||
| | |k5 | ||
| [[16/11]], [[10/7]] | | [[16/11]], [[10/7]] | ||
|- | |- | ||
| Line 132: | Line 132: | ||
| P5 | | P5 | ||
| A4, P5, m6 | | A4, P5, m6 | ||
| | | S5/sm6 | ||
| [[3/2]], [[14/9]], [[32/21]] | | [[3/2]], [[14/9]], [[32/21]] | ||
|- | |- | ||
| Line 144: | Line 144: | ||
| pai-m6 | | pai-m6 | ||
| ^5, ^m6 | | ^5, ^m6 | ||
| | |Km6 | ||
| [[8/5]], [[11/7]] | | [[8/5]], [[11/7]] | ||
|- | |- | ||
| Line 156: | Line 156: | ||
| pao-M6 | | pao-M6 | ||
| vA5, vM6 | | vA5, vM6 | ||
| | |kM6 | ||
| [[5/3]], [[18/11]] | | [[5/3]], [[18/11]] | ||
|- | |- | ||
| Line 168: | Line 168: | ||
| m7 | | m7 | ||
| M6, m7 | | M6, m7 | ||
| | |SM6/sm7 | ||
| [[7/4]], [[12/7]], [[16/9]] | | [[7/4]], [[12/7]], [[16/9]] | ||
|- | |- | ||
| Line 180: | Line 180: | ||
| pai-m7 | | pai-m7 | ||
| ^m7 | | ^m7 | ||
| | |Km7 | ||
| [[20/11]], [[11/6]], [[9/5]] | | [[20/11]], [[11/6]], [[9/5]] | ||
|- | |- | ||
| Line 192: | Line 192: | ||
| pao-P8 | | pao-P8 | ||
| vM7, v8 | | vM7, v8 | ||
| | |kM7 | ||
| [[48/25]], [[40/21]], [[15/8]] | | [[48/25]], [[40/21]], [[15/8]] | ||
|- | |- | ||
Revision as of 02:50, 19 March 2024
If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!
| Steps | Cents | Aaron's Answer | Igs' Input | Keenan Category | Margo's Method | Piotr Grochowski | SagiSpeak | Ups and Downs | Lilly's List | Ratios |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | P1 | Unison | P1 | Unison | unison | P1 | P1, m2 | P1 | 1/1 |
| 1 | 80 | m2 | Subminor 2nd | mi2 | Minor 2nd | augmented unison | pai-P1 | ^1, ^m2 | K1 | 25/24, 21/20, 16/15 |
| 2 | 160 | NM2 (Narrow M2) | Neutral 2nd | Mi2 | Large Neutral 2nd | high neutral second | pao-M2 | vM2 | kM2 | 11/10, 12/11, 10/9 |
| 3 | 240 | LM2 | Supermajor 2nd | Ai2/di3 | Large Major 2nd | second–third | M2 | M2, m3 | SM2/sm3 | 8/7, 7/6, 9/8 |
| 4 | 320 | Lm3 | Minor 3rd | mi3 | Large Minor 3rd | minor third | pai-m3 | ^m3 | Km3 | 6/5, 11/9 |
| 5 | 400 | M3 | Major 3rd | Mi3 | Major 3rd | major third | pao-M3 | vM3 | kM3 | 5/4, 14/11 |
| 6 | 480 | S4 (Small 4) | Sub 4th | P4 | Small Perfect 4th | low fourth | P4 | M3, P4, d5 | SM3/s4 | 4/3, 9/7, 21/16 |
| 7 | 560 | Na4/Sd5 | Narrow Tritone | Ai4 | Small Tritone | low augmented fourth | pai-P4 | ^4, ^d5 | K4 | 11/8, 7/5 |
| 8 | 640 | La4/Wd5 | Wide Tritone | di5 | Large Tritone | high diminished fifth | pao-P5 | vA4, v5 | k5 | 16/11, 10/7 |
| 9 | 720 | L5 | Super 5th | P5 | Large Perfect 5th | high fifth | P5 | A4, P5, m6 | S5/sm6 | 3/2, 14/9, 32/21 |
| 10 | 800 | m6 | Minor 6th | mi6 | Minor 6th | minor sixth | pai-m6 | ^5, ^m6 | Km6 | 8/5, 11/7 |
| 11 | 880 | SM6 | Major 6th | Mi6 | Small Major 6th | major sixth | pao-M6 | vA5, vM6 | kM6 | 5/3, 18/11 |
| 12 | 960 | SM7 | Subminor 7th | Ai6/di7 | Small Minor 7th | sixth–seventh | m7 | M6, m7 | SM6/sm7 | 7/4, 12/7, 16/9 |
| 13 | 1040 | Wm7 | Neutral 7th | mi7 | Small Neutral 7th | low neutral seventh | pai-m7 | ^m7 | Km7 | 20/11, 11/6, 9/5 |
| 14 | 1120 | M7 | Supermajor 7th | Mi7 | Major 7th | diminished octave | pao-P8 | vM7, v8 | kM7 | 48/25, 40/21, 15/8 |
| 15 | 1200 | P8 | Octave | P8 | Octave | octave | P8 | M7, P8 | P8 | 2/1 |