17edt: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
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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. Interval approximations shown here are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).
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. Interval approximations shown here are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).


{| class="wikitable center-2 center-3 center-4"
{| class="wikitable center-2 center-3 center-4 mw-collapsible"
|+ Intervals of 17edt
|-
|-
! | Degree
! | Degree
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! | Note (Macrodiatonic notation)
! | Note (Macrodiatonic notation)
! | Approximate 3.5.7.11.17 [[subgroup]] intervals
! | Approximate 3.5.7.11.17 [[subgroup]] intervals
! | Additional 16.3.5.7.11.17 [[subgroup]] intervals
! | Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals
! | Cents
! | Cents
! | Hekts
! | Hekts
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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).
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).


{{todo|inline=1|complete table|text=Complete the +16 subgroup column, add missing intervals.}}
{{todo|inline=1|complete table|text=Complete the +14&16 subgroup column, add missing intervals.}}


== Regular temperament ==
== Regular temperament ==