Search found 1177 matches

by Dave Keenan
Sat Oct 01, 2016 12:35 am
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

It would be quite the exercise to examine an exhaustive list of all 11-limit commas that do not vanish in the majority of these ETs to see if they also stay in similar relationship to other accidentals between tunings. We did this. In fact up to the 23-prime-limit, and some up to 37. We defined a p...
by Dave Keenan
Fri Sep 30, 2016 10:43 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

I'll work on it.
by Dave Keenan
Fri Sep 30, 2016 9:20 am
Forum: Equal Division notations
Topic: 7n edos
Replies: 1
Views: 4493

7n edos

Rescued from facebook oblivion : Dave Keenan I'm still working my way thru ᔣᗅᘹᖇᕦᖱ ᔤᖽᐸᕧᒷᕧᖶᓋᘘ's paper. I think you should get a copy of it so that the 3 of us can discuss possible revision of symbol sets for some of the more difficult and/or obscure EDOs. I have already revisited the 7n-EDO stack, for...
by Dave Keenan
Thu Sep 29, 2016 6:35 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

Doesn't this defeat the purpose of signifying 81/80 with the 22edo accidental in the first place? I had to read this sentence several times because it didn't make any sense to me. I eventually realised it's because I had never seen it as "signifying 81/80 with the 22edo accidental" but as...
by Dave Keenan
Thu Sep 29, 2016 5:23 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

I hit "Submit" prematurely when I meant to hit "Preview" on my reply above. That's probably just as well. It was getting rather large. :) I'm not sure why we're comparing cases of non-positive 5-commas with non-positive 1/2-apotomes. The 5-comma is more likely to be equated to a ...
by Dave Keenan
Thu Sep 29, 2016 4:09 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

I'm keen to provide better Sagittal notations for these multi-mapping EDOs, and your approach sounds very promising. But I do want to establish exactly which existing Sagittal ET notations have problems in this regard, and which do not (and where any grey area may lie). For example, 72-EDO has only ...
by Dave Keenan
Thu Sep 29, 2016 10:46 am
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

Re: EDOs with multiple prime mappings

First to correct a technical detail, 81/80 does not vanish in EDOs 48, 60 or 72, where it is positive, nor does it vanish in 33, 40, 47, 52 or 64, where it is negative. And consequently these are not meantones. There are several other EDOs you list where 81/80 does indeed vanish, but they are also n...
by Dave Keenan
Wed Sep 28, 2016 4:30 pm
Forum: Equal Division notations
Topic: EDOs with multiple prime mappings
Replies: 42
Views: 41216

EDOs with multiple prime mappings

Cryptic Ruse has raised in this facebook thread , the question of how best to notate those EDOs below 72 that have no single best prime mapping but instead have multiple mediocre mappings. To see a list of 13-prime-limit mappings for 7-edo, click on the following link. Change the number after "...
by Dave Keenan
Tue Sep 27, 2016 11:15 pm
Forum: Equal Division notations
Topic: Limma fraction and apotome fraction accidentals
Replies: 15
Views: 18093

Re: Limma fraction and apotome fraction accidentals

Of course you can use the standard sharp and flat for the apotome too. ASCII for those could just ignore the left scroll :)|: and make it clear in the context, that you're using fractional 3-comma notation, and use the following: . apotome limma full # b no accidental, change of nominal (as pointed ...
by Dave Keenan
Tue Sep 27, 2016 10:59 pm
Forum: Equal Division notations
Topic: Limma fraction and apotome fraction accidentals
Replies: 15
Views: 18093

Re: Limma fraction and apotome fraction accidentals

Here's a thought, in the spirit of brainstorming. In a fractional-apotome-fractional-limma type notation, for badly-behaved ETs, we might repurpose the otherwise-very-rarely-used 19-schisma flag :)|: to indicate that we are using such a notation. I earlier suggested the following symbols. apotome li...