Search found 19 matches

by George Secor
Fri Apr 21, 2017 11:58 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 624

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 remember...
by George Secor
Wed Apr 19, 2017 11:55 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 624

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 ...
by George Secor
Fri Apr 14, 2017 5:03 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 624

Re: 581EDO

I posted the following, regarding notation of 581-EDO, on 9 April 2017 to a thread in the Facebook group Xenharmonic Alliance Mathematical Theory, and am reposting it here at Dave Keenan's request. Although most of this already appears in my previous postings here, my suggestion of the 85:121 schism...
by George Secor
Thu Jan 12, 2017 2:28 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 608

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 ...
by George Secor
Thu Jan 12, 2017 2:09 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 608

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

Symbol Pronunciation Limma fractions represented Comments :|\): * ktai 55L 4/7* Olympian 55L is :.::(|): (495:512, limma less 55C) :|\ \: * chai 7L 3/5*, 2/3*, 5/7*, 3/4* Olympian 7L is :.::(|\: (27:28, limma less 7C) :||): = :!)::#:* tao-sharp 4/5*, 5/6**, 6...
by George Secor
Thu Jan 12, 2017 1:56 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 608

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

Symbol Pronunciation Apotome fractions represented Comments :(|(: * janai 7:13S* 4/10* For 71-EDO*; olympian :(|(::.::.: Why not Symbol Pronunciation Apotome fractions represented Comments :/ /|: * phai 7:17S* 4/10* For 71-EDO*; olympian :/ /|::.::.: ? For that matter, why not Symbo...
by George Secor
Thu Jan 05, 2017 9:06 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 608

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

That's great stuff George. Thanks. To help folks evaluate it (OK, to help me ), I have a couple of requests. 1. Could you please give a table showing all the symbols you have used, in size order, and which apotome and limma fractions they correspond to. Similar to the one of mine that you quoted. 2...
by George Secor
Tue Jan 03, 2017 2:04 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 19
Views: 608

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

Presently, all Sagittal EDO notations are JI-based, in the sense that a symbol always represents the tempered size of its comma role in just intonation. But this results in an explosion of obscure symbols being used for the EDOs in the red and amber areas, many of which are very simple and so don't...
by George Secor
Wed Aug 03, 2016 8:13 am
Forum: Comparison with other notation systems
Topic: How should naturals be used with Sagittal?
Replies: 3
Views: 218

Re: How should naturals be used with Sagittal?

Hi Dave, We don't have an official policy on the use of naturals with Sagittals, but if we did, I think that Sagittal symbols (both pure and mixed) should be treated the same as conventional sharps and flats. Therefore, Sagittal accidentals are always sticky for the remainder of the measure, and the...
by George Secor
Sun Jun 26, 2016 6:00 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 624

Re: 581EDO

Thanks for all this George, for taking the time to look into this so deeply. I wouldn't have thought it would be quite this tricky, since 581 is not too far from 23- and 25-limit JI, and with 270 looking not too radical, I thought 581 would be only a bit of gap-filling from there. Obviously, I was ...

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