Ganaram inukshuk
Joined 12 November 2021
→Subpages: Personal sandbox page. Hopefully the ends justify the means. |
→Main mindset: Added links and added to to-do/contributions list |
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== Main mindset == | == Main mindset == | ||
As mentioned, I prefer to look at scales based in a temperament-agnostic sense, specifically scales whose notes are a subset of an equally divided octave (edo) wherein the number of steps needed to reach each successive note is one of two integer values (in the case of mosses). Doing so relieves me of the expectation that a certain interval must necessarily fall within a few cents of a JI ratio and lets me be more explorative with musical scales. (It's also less names to memorize; superpyth[7] and meantone[7] both entail the same abstract scale pattern composed of five large steps and two small steps, or 5L 2s, but changing the step ratio to anything else may result in something that may be neither superpyth nor meantone.) | As mentioned, I prefer to look at scales based in a temperament-agnostic sense, specifically scales whose notes are a subset of an equally divided octave ([[EDO|edo]]) wherein the number of steps needed to reach each successive note is one of two integer values (in the case of [[MOS scale|mosses]]). Doing so relieves me of the expectation that a certain interval must necessarily fall within a few cents of a [[Just intonation|JI]] ratio and lets me be more explorative with musical scales. (It's also less names to memorize; [[superpyth]][7] and [[meantone]][7] both entail the same abstract scale pattern composed of five large steps and two small steps, or [[5L 2s]], but changing the step ratio to anything else may result in something that may be neither superpyth nor meantone.) | ||
In other words, I see temperaments as starting with tempered JI ratios where edos and mosses are the outcome. I prefer to start with edos and mosses and have tempered JI ratios be the outcome instead. | In other words, I see temperaments as starting with tempered JI ratios where edos and mosses are the outcome. I prefer to start with edos and mosses and have tempered JI ratios be the outcome instead. | ||
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Other running assumptions and techniques may be found under the methodologies page below. | Other running assumptions and techniques may be found under the methodologies page below. | ||
== TO-DO | == TO-DO list and major contributions == | ||
* [[Recursive structure of MOS scales|MOS recursion and MOS recursion algorithms]]; tried my best to make the descriptions for MOS recursion apply to all cases (Work-in-progress) | * [[Recursive structure of MOS scales|MOS recursion and MOS recursion algorithms]]; tried my best to make the descriptions for MOS recursion apply to all cases (Work-in-progress) | ||
* [[Horogram|A page for horograms]], since it was totally absent (Work-in-progress) | * [[Horogram|A page for horograms]], since it was totally absent (Work-in-progress) | ||
* Finding and sorting the modes of an MV2/MOS by modal brightness (see subpages section below) | * Finding and sorting the modes of an MV2/MOS by modal brightness (see subpages section below) | ||
* Adding descriptions for certain pages so that they also apply to step sequences, such as that for an [[interval matrix]] and [[muddle]] | |||
* Constructing a circle of generating intervals for any MOS supported by a specific edo | * Constructing a circle of generating intervals for any MOS supported by a specific edo | ||
* Constructing key signatures for any MOS | * Constructing key signatures for any MOS |