Search found 229 matches

by Dave Keenan
Tue Sep 05, 2017 9:59 am
Forum: Equal Division notations
Topic: A proposal to simplify the notation of EDOs with bad fifths
Replies: 30
Views: 2725

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

Here's is the final version, which George and I agree on, of all the EDO native-fifth notations resulting from this proposal. First we show all of the proposed apotome-fraction notations. These are for the EDOs whose best fifths are more than 7.5 c wider than just (> 709.5 c) (wider than those of 22...
by Dave Keenan
Mon Jul 31, 2017 2:25 pm
Forum: Notations for other tunings
Topic: Sagittal notations for MET-24 tuning
Replies: 3
Views: 873

Re: Sagittal notations for MET-24 tuning

Margo, I believe your notation is the best possible Sagittal notation for those tunings. I note that since (|) is the apotome-complement of /|\, you can avail yourself of alternative spellings such as Bb/|\ (B flat vai) = B(!) (B wao). Also, you may find it more convenient to use the shorthand way o...
by Dave Keenan
Mon Jul 31, 2017 12:24 pm
Forum: Notations for other tunings
Topic: Sagittal notations for MET-24 tuning
Replies: 3
Views: 873

Re: Sagittal notations for MET-24 tuning

Thanks for those, Margo. My apologies for the delay in the appearance of your posts. The first post by every new member must be approved by a moderator (me) as an anti-spam measure. But at least in this forum, once that first post is approved you have full access and full capabilities, unlike the Xe...
by Dave Keenan
Fri Jun 02, 2017 9:59 am
Forum: Equal Division notations
Topic: 5n edos
Replies: 19
Views: 2210

Re: 5n edos

The only difference between the notation above, and that given earlier in this thread (for 5 nominals), is that :~~|: has been eliminated, and the use of :)~|: has been extended to include 1/4 and 1/5 apotome. So only the 20-edo and 25-edo notations have changed. 5edo: C D E G A 10edo: C D:\!): D E:...
by Dave Keenan
Fri Jun 02, 2017 9:43 am
Forum: Equal Division notations
Topic: 5n edos
Replies: 19
Views: 2210

Re: 5n edos

We now have a better rationale for 5n-edo notations (and other "bad fifth" EDOs), thanks to suggestions by Cryptic Ruse / Igliashon Jones. See this thread: http://forum.sagittal.org/viewtopic.php?f=5&t=256 The proposal looks like this for 5n-edos (in mixed Sagittal): 5n-edos: A:B C:D D...
by Dave Keenan
Fri Jun 02, 2017 9:16 am
Forum: Equal Division notations
Topic: 7n edos
Replies: 1
Views: 430

Re: 7n edos

George wrote in email (on 2016-Sep-30): Oops, you're right! |||~) would have been 7:23S (45927:47104) + an apotome, which we might have been considering at one time, but we chose 5:13M (405:416) instead. For some reason I never updated my EDO-degrees spreadsheet with the change. Fortunately, a symbo...
by Dave Keenan
Sat Apr 22, 2017 5:10 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 1916

Re: 581EDO

So, the only change required to George's last proposal is to eliminate 17C :~|(: for 8 degrees in favour of 143C :~~|: for 9 degrees. However, I note that we do not need the non-athenian symbol 5:23S :/|~: for 18 degrees and suggest we eliminate it to reduce the number of cores that must be learned....
by Dave Keenan
Sat Apr 22, 2017 4:37 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 1916

Re: 581EDO

Since there are 6 symbols, there are 2⁶ subsets, and we can enumerate them as a binary count. The right-hand column indicates at least one condition that the subset violates. ">3" = gap wider than 3 degrees. "~|" = incompatible left boathook values. "<->" size order rev...
by Dave Keenan
Sat Apr 22, 2017 3:50 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 1916

Re: 581EDO

Of course we should use the lowest prime symbols for degrees 2 and 11. I only included the 19s and 19C symbols so you'd know I hadn't forgotten them, and that there really are no unaccented symbols that map to 3 or 10 degrees. But the left scroll must still have the value 2 since we want :/|\: = 26 ...
by Dave Keenan
Sat Apr 22, 2017 1:13 pm
Forum: Equal Division notations
Topic: 581EDO
Replies: 17
Views: 1916

Re: 581EDO

So it all comes down to finding sufficient unaccented symbols between 2 and 11 degrees, without any size-order reversals, and with consistent flag arithmetic. We can have gaps of at most 3 degrees between unaccented symbols. Here are all the options. Size order reversals are indicated by "<->&q...

Go to advanced search