Search found 24 matches

by George Secor
Sat Jul 21, 2018 12:33 pm
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 30
Views: 2708

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

<Groan> Please excuse me if I let off some steam at this point, because I had the impression that we already had native-5th notations for all (or nearly all) of the divisions not identified as "bad-5th". Instead, I see that we have very few (if any) native-5th notations for the (more than...
by George Secor
Sat Jul 21, 2018 6:15 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 30
Views: 2708

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

Thanks George. I note for other readers, that although we are summarising these notations using multi-shaft sagittals, each such symbol can be replaced by an equivalent combination of conventional sharps and flats with a single-shaft sagittal. Before I look into examining the merits of JI-based not...
by George Secor
Fri Jul 20, 2018 9:02 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 30
Views: 2708

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

So, to summarise: Of all those EDOs having fifths more than 7.5c wide, and therefore able to be notated using the above apotome-fraction notation, you find that 27 and 49 are not simplified thereby, and so should retain, as their preferred notation, their existing* JI-based notations. I have checke...
by George Secor
Thu Jul 19, 2018 3:02 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 30
Views: 2708

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

Well George, we've slept on it for 9 months now, and there has recently been a request on one of the facebook groups, for someone to add the corresponding Sagittal notation(s) to every EDO entry in the Xenharmonic Wiki. So we really ought to decide whether these will become the new standard notatio...
by George Secor
Fri Jun 08, 2018 10:25 am
Forum: Comparison with other notation systems
Topic: Sagittal integration with Tall Kite color notation
Replies: 0
Views: 173

Sagittal integration with Tall Kite color notation

Originally posted 7 June 2018 UPDATED 11 June 2018 This message involves a proposed integration of a selection of the most common Sagittal symbols with the Tall Kite color notation system that is currently under development. This message has been cross-posted with one on the Tall Kite forum so that ...
by George Secor
Fri Apr 21, 2017 11:58 am
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 1911

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: 1911

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: 1911

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: 30
Views: 2708

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: 30
Views: 2708

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...

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