Search found 1177 matches

by Dave Keenan
Sat Jun 17, 2023 1:54 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

רועיסיני Here's my preferred (evo) notation for 128edo (and 121edo): :)|: :~|: :/|: :(|(: :~|\: :/|\: :(|): :#: 1 2 3 4 5 6 7 13 The corresponding revo flavour looks like this: :)|: :~|: :/|: :(|(: :~|\: :/|\: :(|): :)~||: :~||(: :||\: :)//||: :(||~: :/||\: 1 2 3 4 5 6 7 8 9 10 11 12 13 I think tha...
by Dave Keenan
Thu Jun 15, 2023 9:25 am
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

Apotome fractions of unaccented symbols over the magenta range.

Image
by Dave Keenan
Wed Jun 14, 2023 6:11 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

Here's a first pass at a set of Magenta notations. I've shown multiple valid symbols for some degrees. The cyan hiliting shows existing notations. The numbers in parenthesis are the numbers of steps per apotome. 29edo :/|: (3) 1 58edo :/|: :|\: :/|\: (6) 1 2 3 70edo :/|: :|\: :/|\: (7) 1 2 3 75edo :...
by Dave Keenan
Mon Jun 12, 2023 2:13 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

Just letting you know I'm still working on the magenta AF notation (to include 128edo). It is more difficult than I thought. I definitely can't get beyond 18 steps per apotome (174edo and 181edo) without accents. But that includes 18 different EDOs whose fifth sizes range from 702.76 (+0.81 ¢ error,...
by Dave Keenan
Mon Jun 12, 2023 10:09 am
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2946

Re: Can all the promethean symbols be realized consistently in the same edo?

It's just a different equivalent way of looking at things, that may be more intuitive to some people. It means that things you neglect may aggregate into something large and bite you if you're not careful. Ah. OK. It does not seem like so, at least not for the eight I wrote explicitly. Of course, t...
by Dave Keenan
Sun Jun 11, 2023 1:36 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2946

Re: Can all the promethean symbols be realized consistently in the same edo?

I don't understand the significance of schisminas summing to the octave, unless it is of purely mathematical interest to you. I suppose a basis for the Promethean schisminas might have been relevant to the decisions about what ratios to assign to the Magrathean (tina) accents. You may find that we h...
by Dave Keenan
Fri Jun 09, 2023 10:14 am
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

Because 17C rounds to 4 degrees when tempering 3s only, George's 270edo notation doesn't satisfy the requirements you gave here: https://forum.sagittal.org/viewtopic.php?p=4738#p4738 when it uses :~|(: for 3 steps, unless it uses a secondary comma such as: 7/13C [12 -7 0 1 0 -1⟩ non-Olympian or 245C...
by Dave Keenan
Fri Jun 09, 2023 9:51 am
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2946

Re: Can all the promethean symbols be realized consistently in the same edo?

I think that commas that justify an EDO notation should satisfy both of those requirements: validity – when 3 is tempered, they map to the correct EDO degrees. That is a "local" requirement for each comma. consistency/coherence – there is a map that gives for each comma the number of step...
by Dave Keenan
Thu Jun 08, 2023 10:16 pm
Forum: Equal Division notations
Topic: Can all the promethean symbols be realized consistently in the same edo?
Replies: 17
Views: 2946

Re: Can all the promethean symbols be realized consistently in the same edo?

So I can give you two secondary commas for :~|\: that map to both 14°400edo and 33°971edo and have N2D3P9 < 307. 35/13S = [ -22 13 1 1 0 -1 ⟩ 175/19S = [ 0 -2 2 1 0 0 0 -1 ⟩ What exactly do you mean by "map to"? I took the matrix product of the patent map of the EDO with the vector of the...
by Dave Keenan
Wed Jun 07, 2023 10:44 pm
Forum: Equal Division notations
Topic: Weird and missing notations in the pdf
Replies: 22
Views: 6545

Re: Weird and missing notations in the pdf

I will attempt to design a (accent-free) 128edo notation that is part of a Magenta apotome-fraction notation that will include multiples of 29edo up to maybe 174edo (18 steps per apotome). download/file.php?id=189