17edt: Difference between revisions

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== 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. 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 in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).

Interval approximations shown in the 3.5.7.11''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.

{| class="wikitable center-2 center-3 center-4 mw-collapsible"

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! | Note (Macrodiatonic notation)

! | Approximate 3.5.7.11.17 [[subgroup]] intervals

! | Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^

! | Additional 3.5.7.11''.14.16''.17 subgroup intervals^

! | Cents

! | Hekts

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| | Gb

| | [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)

| |

| | 16/14 ([[8/7]]) (-7.5c)

| | 223.8

| | 152.9

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| | 1300.

|}

~~^''Not an exhaustive list''.~~

It's a strange 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).

@@ Line 17: / Line 17: @@
 == 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. 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 in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).
+Interval approximations shown in the 3.5.7.11''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.
 {| class="wikitable center-2 center-3 center-4 mw-collapsible"
@@ Line 26: / Line 30: @@
 ! | Note (Macrodiatonic notation)
 ! | Approximate 3.5.7.11.17 [[subgroup]] intervals
-! | Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^
+! | Additional 3.5.7.11''.14.16''.17 subgroup intervals^
 ! | Cents
 ! | Hekts
@@ Line 50: / Line 54: @@
 | | Gb
 | | [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
-| |
+| | 16/14 ([[8/7]]) (-7.5c)
 | | 223.8
 | | 152.9
@@ Line 174: / Line 178: @@
 | | 1300.
 |}
-^''Not an exhaustive list''.
 It's a strange 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).