Sagittal notation: Difference between revisions

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== The symbol sets ==

Sagittal symbols ~~are defined~~ in ~~6 "official" symbol~~ sets, each one being ~~defined as spliting~~ the [[2187/2048|apotome]] ~~in psuedoequal or equal parts~~ (~~latter being~~ '''EDA'''). It is not necessary to learn all of the Sagittal ~~notation~~ sets to be able to compose with it. The '''Spartan''' and '''Athenian''' ~~sets will be more than enough for~~ most ~~purposes~~.

Sagittal symbols come in 7 sets of increasing size and resolution, each one being an approximately equal division of the [[2187/2048|apotome]] ('''EDA'''). It is not necessary to learn all of the Sagittal sets to be able to compose with it. It is like a natural language in that you don't need to know every word in the dictionary to speak the language. Some words are used extremely rarely, but they must be there to provide full coverage. The '''Spartan''' set covers 90% of what most people want to do, and the '''Athenian''' extension covers most of the rest.

Sagittal accidentals are not intended to be combined with one another, except in the Prime Factor JI notation, as symbols representing useful combinations and powers of primes are already provided. An accidental can often be used to represent alternative commas that differ by 2 cents or less. In such cases the intended comma ratio may be determined by the ~~note~~ to which it is applied, or by the musical context. Alternatively, accent marks (from the Herculean and subsequent extensions) may be added to distinguish these commas.

Sagittal accidentals are not intended to be combined with one another, except in the Prime Factor JI notation, as symbols representing useful combinations and powers of primes are already provided. An accidental can often be used to represent alternative commas that differ by 2 cents or less. In such cases the intended comma ratio may be determined by the pitch-class to which it is applied, or by the musical context. Alternatively, accent marks (from the Herculean and subsequent extensions) may be added to distinguish these commas.

[https://www.desmos.com/calculator/iehdworjko You can look up what the minimum precision is required to write an EDO in this Desmos graph.]

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 == The symbol sets ==
-Sagittal symbols are defined in 6 "official" symbol sets, each one being defined as spliting the [[2187/2048|apotome]] in psuedoequal or equal parts (latter being '''EDA'''). It is not necessary to learn all of the Sagittal notation sets to be able to compose with it. The '''Spartan''' and '''Athenian''' sets will be more than enough for most purposes.
+Sagittal symbols come in 7 sets of increasing size and resolution, each one being an approximately equal division of the [[2187/2048|apotome]] ('''EDA'''). It is not necessary to learn all of the Sagittal sets to be able to compose with it. It is like a natural language in that you don't need to know every word in the dictionary to speak the language. Some words are used extremely rarely, but they must be there to provide full coverage. The '''Spartan''' set covers 90% of what most people want to do, and the '''Athenian''' extension covers most of the rest.
-Sagittal accidentals are not intended to be combined with one another, except in the Prime Factor JI notation, as symbols representing useful combinations and powers of primes are already provided. An accidental can often be used to represent alternative commas that differ by 2 cents or less. In such cases the intended comma ratio may be determined by the note to which it is applied, or by the musical context. Alternatively, accent marks (from the Herculean and subsequent extensions) may be added to distinguish these commas.
+Sagittal accidentals are not intended to be combined with one another, except in the Prime Factor JI notation, as symbols representing useful combinations and powers of primes are already provided. An accidental can often be used to represent alternative commas that differ by 2 cents or less. In such cases the intended comma ratio may be determined by the pitch-class to which it is applied, or by the musical context. Alternatively, accent marks (from the Herculean and subsequent extensions) may be added to distinguish these commas.
 [https://www.desmos.com/calculator/iehdworjko You can look up what the minimum precision is required to write an EDO in this Desmos graph.]