Search found 37 matches

by herman.miller
Fri Jan 26, 2024 1:54 am
Forum: Linear Temperament notations
Topic: Negri temperament
Replies: 4
Views: 1580

Re: Negri temperament

I found a potential use for +11 if I notate this part in E:/|\: major: https://forum.sagittal.org/download/file.php?mode=view&id=544&sid=0eb8d199b38bad857ce4e228cd13a4f5 Ignore the red notes: Dorico is trying to be helpful and warn me that the harp can't play these notes. If I want to notate...
by herman.miller
Thu Jan 25, 2024 1:47 am
Forum: Linear Temperament notations
Topic: Negri temperament
Replies: 4
Views: 1580

Re: Negri temperament

I do like the idea of :/|\: for +10 and :|||\: for +1. I'm working on the score for my Negri piece now and I'm using the +1 to make sense of the note spelling for voice leading purposes (see the image where D :|||(: is followed by E :)||(: ) https://drive.google.com/file/d/1NO-qWjshWs56PwTa5xYdpwO8f...
by herman.miller
Thu Dec 28, 2023 2:01 am
Forum: Linear Temperament notations
Topic: Negri temperament
Replies: 4
Views: 1580

Negri temperament

Negri divides the perfect fourth into four equal parts, so we really only need names for the three notes between A and D, D and G, etc. In 19-EDO it goes A B:b: B:#:/C:b: C:#: D; 29-EDO has A B:!!/: B:/|:/C:\!: C:||\: D. It makes sense to use the :||\: for -9 negri generators, but we'll need :/|: fo...
by herman.miller
Thu Dec 28, 2023 1:41 am
Forum: Linear Temperament notations
Topic: Orwell temperament
Replies: 3
Views: 1817

Re: Orwell temperament

Nice! I've been getting back into notation lately and I've been working on a score for my orwell[31] piece "A Hidden World". I ended up with the same notation for these intervals. Here's an extended list: -53 :|(: +31 :/|: -22 :|): +9 :/|\: -44 :(/|: +40 :(|): -13 :)||(: +18 :||\: -35 :(||...
by herman.miller
Thu Mar 25, 2021 11:38 am
Forum: Linear Temperament notations
Topic: 5-limit misty (12p&51p) notation
Replies: 9
Views: 5729

Re: 5-limit misty (12p&51p) notation

That works reasonably well for 5-limit misty, although 7-limit misty [<3 5 6 6] <0 -1 4 10]> would map :~|): as (-5, +21), but that differs from (+3, -12) by only 0.06 cents which is negligible. Now if we take :|~: as the 23-comma 736/729, we can use a 2.3.5.23-limit temperament with 23 mapped to (+...
by herman.miller
Wed Mar 24, 2021 11:35 am
Forum: Linear Temperament notations
Topic: 5-limit misty (12p&51p) notation
Replies: 9
Views: 5729

Re: 5-limit misty (12p&51p) notation

You could use :/|: and :\!: up to a point. If you want to notate the full 99-note MOS, you'll need triple sharps and triple flats for some of the notes, since E:\!: is 4 generators above C, which is 4 generators above E. Here's what that would look like with single and double sharps. You could alway...
by herman.miller
Tue Mar 23, 2021 1:23 pm
Forum: Linear Temperament notations
Topic: 5-limit misty (12p&51p) notation
Replies: 9
Views: 5729

Re: 5-limit misty (12p&51p) notation

[⟨3 0 26], ⟨0 1 -4]⟩ and [ ⟨ 3 5 6 ] ⟨ 0 -1 4 ] ⟩ are equivalent -- the wedge product for both is <<3 -12 -26]] -- but [<3 -3 14|, <0 1 -4|] has a wedge product of <<3 -12 -2]] so there must be some mistake. I'd leave the mapping and correct the generator size to 1903 cents. 7-limit misty (which has...
by herman.miller
Tue Mar 23, 2021 10:41 am
Forum: Linear Temperament notations
Topic: 5-limit misty (12p&51p) notation
Replies: 9
Views: 5729

5-limit misty (12p&51p) notation

Misty [<3 5 6] <0 -1 4]> is one of the few 5-limit rank 2 temperaments that would benefit from using schisma accents. I worked out a chart of 5-limit notation for misty[99] and I was able to notate most pitches with 5-limit sagittals with two exceptions. For those two pitches (a quarter tone below G...
by herman.miller
Mon Mar 22, 2021 12:35 pm
Forum: Linear Temperament notations
Topic: Schisma accents in regular temperament notation
Replies: 1
Views: 2844

Schisma accents in regular temperament notation

I was looking at 5-limit hanson temperament and I noticed that the schisma tempers to 0.6 cents, and thus the schisma accent might actually be useful if you have a large enough scale to notate. It turns out that the schisma maps to +53 generators of hanson, so that's not likely to be useful, but I w...
by herman.miller
Sun Mar 21, 2021 12:07 am
Forum: Linear Temperament notations
Topic: 5-limit ripple (12p&23p) notation
Replies: 3
Views: 3564

Re: 5-limit ripple (12p&23p) notation

You can respell G#:Eb as G#:D# without any trouble. It makes more sense to notate G#. as Ab -- I almost ended the sentence there, but that would be confusing since Ab would have looked like Ab. -- using . and ' as accidentals makes it a bit awkward to mention them in a sentence. You can see how that...