Search found 1177 matches
- Wed Apr 12, 2023 6:42 pm
- Forum: Linear Temperament notations
- Topic: Notating 5-limit pental with added 7th harmonics
- Replies: 15
- Views: 3854
Re: Notating 5-limit pental with added 7th harmonics
This is incomplete, but hopefully it's enough so you understand what I have in mind. This would not be a general 255edo notation, but purely a pental-plus-7th-harmonics notation. D:!(: E:|): G:!): A:|(: C:\!): A:!(: B:|): D:!): E:|(: G:\!): E:!(: F:#::|): A:!): B:|(: D:\!): B:!(: C:#::|): E:!): F:#:...
- Wed Apr 12, 2023 2:59 pm
- Forum: Linear Temperament notations
- Topic: Notating 5-limit pental with added 7th harmonics
- Replies: 15
- Views: 3854
Re: Notating 5-limit pental with added 7th harmonics
Here's notating the easy parts of 255edo with uncontroversial sagittals, based on the complex 7-limit mappings. These sagittals all happen to correspond to even numbers of steps: D:!(: E:|): G:!): A:|(: C:\!): A:!(: B:|): D:!): E:|(: G:\!): E:!(: F:#::|): A:!): B:|(: D:\!): B:!(: C:#::|): E:!): F:#:...
- Wed Apr 12, 2023 1:34 pm
- Forum: Linear Temperament notations
- Topic: Notating 5-limit pental with added 7th harmonics
- Replies: 15
- Views: 3854
Re: Notating 5-limit pental with added 7th harmonics
If I had instead shown a redundant parenthesised top row: (104 155 206 2 53) We would obtain a different complex 7-limit pental mapping. In octave equivalent form: 0 0 2 0 0 1 5 -26 Octave specific: 5 5 -13 80 0 1 5 -26 Since this is arguably equally complex, we could refer to these as the +25g and ...
- Wed Apr 12, 2023 12:57 pm
- Forum: Linear Temperament notations
- Topic: Notating 5-limit pental with added 7th harmonics
- Replies: 15
- Views: 3854
Re: Notating 5-limit pental with added 7th harmonics
You clearly have a very good understanding of the system, so you should feel free to use whatever seems best to you. But the main problem I see with your proposal to set Archytas' comma to 5\255 is that the best approximation of the 7th harmonic is given by setting Archytas' comma and hence the righ...
- Tue Apr 11, 2023 11:19 am
- Forum: Linear Temperament notations
- Topic: Notating 5-limit pental with added 7th harmonics
- Replies: 15
- Views: 3854
Re: Notating 5-limit pental with added 7th harmonics
Welcome to the forum Roee. That is quite a puzzle. No sagittal notation has previously been devised for 255edo. After much investigation, the only viable solution I can find is to repurpose the left scroll :)|: , giving it a 7-limit (or perhaps 11-limit) definition, which I haven't worked out. The l...
- Wed Apr 05, 2023 3:06 pm
- Forum: Just Intonation notations
- Topic: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
- Replies: 73
- Views: 45510
Re: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
ndentonprotsack I finally got Dorico SE 4 installed correctly. I screwed it up the first time thanks to Steinberg's outdated and misleading installation video. The help has the following to say about Microtonal accidentals: Microtonal accidentals indicate pitches beyond the standard accepted chroma...
- Mon Apr 03, 2023 11:38 am
- Forum: Just Intonation notations
- Topic: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
- Replies: 73
- Views: 45510
Re: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
ndentonprotsack Hi Nick, That's great news. <pedantry warning> I'm not sure what you mean when you say your temperament has a "period of 12-edo", since 12-edo is a tuning containing many intervals whereas a period is a single interval. Do you mean it has a period of 1/12th of an octave, 1...
- Thu Feb 16, 2023 10:13 am
- Forum: Just Intonation notations
- Topic: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
- Replies: 73
- Views: 45510
Re: Simplified "Stoic" Sagittal for 13-limit tonality diamond use
ndentonprotsack Hi Nick, Well we've both been busy for the past year. But maybe now we can finalise this, so I can make a SMuFL submission. Can you please confirm that: (a) You're still happy with the current outlines for the Stoic symbols, and (b) That the JSON metadata files have given the desire...
- Mon Nov 14, 2022 11:33 am
- Forum: Mathematical theory
- Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
- Replies: 38
- Views: 19284
Re: Noble frequency ratios as prime-count vectors in ℚ(√5)
Yes. I think one post a day would be plenty to take in. Thank you for the correction. I have made the edit.
- Mon Oct 10, 2022 1:53 pm
- Forum: Mathematical theory
- Topic: Noble frequency ratios as prime-count vectors in ℚ(√5)
- Replies: 38
- Views: 19284
Re: Noble frequency ratios as prime-count vectors in ℚ(√5)
I'm linking to this old post by Dan Stearns because it seems like it might be relevant. https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_76975.html#77465 There are other useful posts in that thread, such as this one with a list of noble and near-noble triads at its end (quoted below)...