Search found 1177 matches

by Dave Keenan
Thu Mar 18, 2021 3:11 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 17441

Re: general methods for linear temperament notation

We use prime exponent vector together a lot. I'm comfortable enough with that I see through it as a synonym for monzo. That's hilarious, in a sad kind of way — that you have to see "through" a term that is self-explanatory to one that is arbitrary. But presumably, someone who had never ha...
by Dave Keenan
Thu Mar 18, 2021 1:11 pm
Forum: Comparison with other notation systems
Topic: proportional/spatial + symbolic notation
Replies: 10
Views: 11693

Re: proportional/spatial + symbolic notation

Many years ago I bought a copy of Twentieth Century Microtonal Notation and had it sent to George as a gift. We referred to it in designing Sagittal.
by Dave Keenan
Thu Mar 18, 2021 12:27 pm
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 17441

Re: general methods for linear temperament notation

Okay, I see the problem, but I'm still pretty disturbed. I never learned this [ ⟩ angle bracket notation when I was studying linear algebra in college. We always just wrote things with plain brackets [ ]. Why not just use those for generator-count vectors? I never learned it in math either, but I l...
by Dave Keenan
Thu Mar 18, 2021 6:40 am
Forum: Linear Temperament notations
Topic: general methods for linear temperament notation
Replies: 31
Views: 17441

Re: general methods for linear temperament notation

It can already do this for an EDO, so yes, I agree it should be relatively simple to make it work for temperaments, too. Of course EDOs are temperaments ("rank 1" or "equal" temperaments). You mean it should be relatively simple to make it work for "rank 2" or "li...
by Dave Keenan
Mon Mar 15, 2021 6:34 am
Forum: Equal Division notations
Topic: Notation for Oneirotonic 8 nominal scale
Replies: 8
Views: 5331

Re: Notation for Oneirotonic 8 nominal scale

J(KLM)N is an oneirotonic "fifth" in the same way that A(BCD)E is a diatonic fifth. i.e. by counting the nominals.
by Dave Keenan
Fri Mar 12, 2021 4:32 pm
Forum: Equal Division notations
Topic: Notation for Oneirotonic 8 nominal scale
Replies: 8
Views: 5331

Re: Notation for Oneirotonic 8 nominal scale

I realize 8 notes could be written with accidentals but it seems very hard to read, maybe someone can explain to me how it works. It says 18 is a subset of 36 on the sagittal periodic table. You can read off the table, that 36edo is notated with CD=DE=FG=GA=AB=6, EF=BC=3, #=3, :|): =1. Centering on...
by Dave Keenan
Fri Mar 12, 2021 12:16 pm
Forum: Equal Division notations
Topic: Notation for Oneirotonic 8 nominal scale
Replies: 8
Views: 5331

Re: Notation for Oneirotonic 8 nominal scale

Almost correct. As described in the notation section of the xen wiki article, JKLMNOPQ(J) is the mode LsLLsLsL. And as with the diatonic, the smallest oneirotonic EDO must be the one that sets L=2 and s=1, namely 5×2 + 3×1 = 13edo. 18edo has L=3, s=1.
by Dave Keenan
Thu Mar 11, 2021 2:36 pm
Forum: Equal Division notations
Topic: Notation for Oneirotonic 8 nominal scale
Replies: 8
Views: 5331

Re: Notation for Oneirotonic 8 nominal scale

So a chain of 7/18-octave generators would be notated Q:!!!): L:!!!): O:!!!): J:!!!): M:!!!): P:!!!): K:!!!): N:!!!): Q L O J M P K N Q:(|||: L:(|||: O:(|||: J:(|||: M:(|||: P:(|||: K:(|||: N:(|||: . Of course, that's 24 notes. You only need the middle 18 to notate 18edo. In pitch order, 18edo could...
by Dave Keenan
Thu Mar 11, 2021 1:50 pm
Forum: Equal Division notations
Topic: Notation for Oneirotonic 8 nominal scale
Replies: 8
Views: 5331

Re: Notation for Oneirotonic 8 nominal scale

Sagittal is primarily a universal set of accidentals. We've always said they can be used with notations having other than 7 nominals, but we've never got into how best to do that on a staff. So we can't help you with the latter, but we can suggest a suitable accidental to use in extending the chain ...
by Dave Keenan
Tue Mar 09, 2021 3:29 pm
Forum: Sagittal events, announcements and history
Topic: The origin of Sagittal
Replies: 5
Views: 10285

Re: The origin of Sagittal

Here's a significant thread from the early days of Sagittal. It includes the introduction of arcs.
https://yahootuninggroupsultimatebackup ... 33858.html