17edt: Difference between revisions
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== Intervals == | == Intervals == | ||
The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E. | |||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | | ! | Degree | ||
! | | ! | Note ([[4L 5s (3/1-equivalent)#Notation|BPS-Lambda notation]]) | ||
! | Note (Macrodiatonic notation) | |||
! | Approximate 3.5.7.11.17 subgroup interval | |||
! | cents value | ! | cents value | ||
! | hekts | ! | hekts | ||
|- | |- | ||
| | 0 | | | 0 | ||
| | | | | J | ||
| | | | E | ||
| | | | | [[1/1]] | ||
| | 0 | |||
| | 0 | |||
|- | |- | ||
| | 1 | | | 1 | ||
| | | | | K | ||
| | F | |||
| | [[27/25]], [[35/33]], [[49/45]], [[81/77]] | |||
| | 111.9 | | | 111.9 | ||
| | 76.5 | | | 76.5 | ||
|- | |- | ||
| | 2 | | | 2 | ||
| | | | | K# | ||
| | Gb = Dx | |||
| | [[17/15]], [[63/55]] | |||
| | 223.8 | | | 223.8 | ||
| | 152.9 | | | 152.9 | ||
|- | |- | ||
| | 3 | | | 3 | ||
| | | | | Lb | ||
| | F# | |||
| | [[11/9]] | |||
| | 335.6 | | | 335.6 | ||
| | 229.4 | | | 229.4 | ||
|- | |- | ||
| | 4 | | | 4 | ||
| | | | | L | ||
| | G | |||
| | [[9/7]], [[35/27]] | |||
| | 447.5 | | | 447.5 | ||
| | 305.9 | | | 305.9 | ||
|- | |- | ||
| | 5 | | | 5 | ||
| | | | | M | ||
| | Ab | |||
| | [[15/11]], [[51/35]] | |||
| | 559.4 | | | 559.4 | ||
| | 382.35 | | | 382.35 | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | | | | M# | ||
| | G# | |||
| | [[49/33]], [[81/55]] | |||
| | 671.3 | | | 671.3 | ||
| | 458.8 | | | 458.8 | ||
|- | |- | ||
| | 7 | | | 7 | ||
| | | | | Nb | ||
| | A | |||
| | [[11/7]], [[17/11]] | |||
| | 783.2 | | | 783.2 | ||
| | 535.3 | | | 535.3 | ||
|- | |- | ||
| | 8 | | | 8 | ||
| | | | | N | ||
| | Bb | |||
| | [[5/3]], [[27/17]] | |||
| | 895.1 | | | 895.1 | ||
| | 611.8 | | | 611.8 | ||
|- | |- | ||
| | 9 | | | 9 | ||
| | | | | O | ||
| | A# | |||
| | [[9/5]], [[17/9]] | |||
| | 1006.9 | | | 1006.9 | ||
| | 688.2 | | | 688.2 | ||
|- | |- | ||
| | 10 | | | 10 | ||
| | | | | O# | ||
| | B | |||
| | [[21/11]], [[33/17]] | |||
| | 1118.8 | | | 1118.8 | ||
| | 764.7 | | | 764.7 | ||
|- | |- | ||
| | 11 | | | 11 | ||
| | | | | Pb | ||
| | C | |||
| | [[55/27]], [[99/49]] | |||
| | 1230.7 | | | 1230.7 | ||
| | 841.2 | | | 841.2 | ||
|- | |- | ||
| | 12 | | | 12 | ||
| | | | | P | ||
| | Db | |||
| | [[11/5]], [[35/17]] | |||
| | 1342.6 | | | 1342.6 | ||
| | 917.65 | | | 917.65 | ||
|- | |- | ||
| | 13 | | | 13 | ||
| | | | | Q | ||
| | C# | |||
| | [[7/3]], [[81/35]] | |||
| | 1454.4 | | | 1454.4 | ||
| | 994.1 | | | 994.1 | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | | | | Q# | ||
| | D | |||
| | [[27/11]] | |||
| | 1566.3 | | | 1566.3 | ||
| | 1070.6 | | | 1070.6 | ||
|- | |- | ||
| | 15 | | | 15 | ||
| | | | | Rb | ||
| | Eb | |||
| | [[45/17]], [[55/21]] | |||
| | 1642.598 | |||
| | 1122.727 | |||
|- | |||
| | 16 | |||
| | R | |||
| | D# | |||
| | [[25/9]], [[77/27]], [[99/35]], [[135/49]] | |||
| | 1678.2 | | | 1678.2 | ||
| | 1147.1 | | | 1147.1 | ||
|- | |- | ||
| | 17 | | | 17 | ||
| | | | | J | ||
| | | | | E | ||
| | | | | [[3/1]] | ||
| | 1901.955 | |||
| | 1300. | |||
| | | |||
| | | |||
|} | |} | ||
It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents). | |||
== Regular temperament == | == Regular temperament == | ||