Search found 238 matches

by Dave Keenan
Fri Apr 21, 2017 1:38 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 2067

Re: 581EDO

Thanks George. I think that's a major improvement. Here it is numbered: :'::|: :|(: :.::)|(: :)|(: :'::)|(: :.::~|: :|~: :~|(: :'::~|(: :.::/|: :/|: :.::|): :|): :.::|\: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 :|\: :.::(|: :(|: :/|~: :(|&#...
by Dave Keenan
Thu Apr 20, 2017 10:12 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 2067

Re: 581EDO

Here's George's proposal in a form that makes it easier to evaluate flag and shaft arithmetic, and apotome complements. :'::|: :|(: :'::)|: :)|(: :~|: :)~|: :|~: :~|(: :~~|: :.::)|~: :/|: :.::)/|: :|): :.::)|): 1 2 3 4 5 6 7 8 9 10 11 12 13 14 :|\:...
by Dave Keenan
Thu Apr 20, 2017 12:59 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 2067

Re: 581EDO

That's quite a tour de force, George. I don't doubt that it is valid, however I find it unsatisfying. Of course it's easy to criticise, and much harder to come up with an alternative. It's unsatisfying that there is no regularity that might reduce the amount of information that needs to be remembere...
by Dave Keenan
Sat Apr 15, 2017 6:57 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 2067

Re: 581EDO

It seems wrong to me, for 581-EDO notation to use schismina accents. 612 and 624-EDO notations don't need them. However it seems unavoidable that 581 will need to use _some_ kind of accents. I believe 494-EDO is the largest that we can notate without accents. As with 612 and 624, I think we should u...
by Dave Keenan
Sat Apr 15, 2017 11:45 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 41
Views: 3245

Re: A proposal to simplify the notation of EDOs with bad fifths

Here's a summary of the final version of this proposal, that George and I agree on. For EDOs where the best fifth is more than 7.5 cents wider than just:   Symbol Pronunciation Apotome fractions represented Comments :)|: rai 1/10, 1/9, 1/8, 1/7 :)~|: slai 1/6, 1/5, 2/9, 1/4 :/|: pai 2/7, 3/1...
by Dave Keenan
Sat Apr 15, 2017 10:50 am
Forum: Equal Division notations
Topic: Limma fraction and apotome fraction accidentals
Replies: 15
Views: 2258

Re: Limma fraction and apotome fraction accidentals

This proposal has been superceded by the proposal in this thread:
http://forum.sagittal.org/viewtopic.php?f=5&t=256
by Dave Keenan
Sat Apr 15, 2017 10:12 am
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 4111

Re: EDOs with multiple prime mappings

The main topic of this thread is continued here:
http://forum.sagittal.org/viewtopic.php?f=5&t=256
by Dave Keenan
Wed Feb 01, 2017 3:02 pm
Forum: Just Intonation notations
Topic: Multi-Sagittal JI notation (one symbol per prime)
Replies: 6
Views: 2281

Re: Multi-Sagittal JI notation (one symbol per prime)

Many thanks to Dave Ryan for pointing out that, in the Multi-Sagittal JI notation, the pythagorean part of the notation for any prime number (its nominal plus sharps or flats) can be determined simply by reducing the prime to the first octave, calculating its size in cents and looking it up in the f...
by Dave Keenan
Fri Jan 13, 2017 1:29 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 41
Views: 3245

Re: A proposal to simplify the notation of EDOs with bad fifths

George Secor wrote:I submit that :/|\: and :(|): are the best choices for 4/10 and 6/10 apotome, because they are very meaningful.

Sold! Now what? Sleep on it for a few months in case anyone comes up with any objections, before we update sagittal.pdf?
by Dave Keenan
Tue Jan 10, 2017 11:15 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 41
Views: 3245

Re: A proposal to simplify the notation of EDOs with bad fifths

George, I note that you have implicitly accepted, without discussion, my proposed cutoffs at fifth sizes narrower than 19-edo and wider than 22-edo. Some might consider that 26-edo should be notated as a meantone. And you have implicitly accepted my suggestion that all such edos with narrow fifths s...

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