Glossary: Difference between revisions

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'''hertz''' - A unit for frequency; counts per second.

'''pitch''' - The property of some sounds that allows them to be ordered on a one-dimensional 'pitch axis'. ~~often~~ measured by the frequency (in hertz) of a sine wave having the same pitch.

'''pitch''' - The property of some sounds that allows them to be ordered on a one-dimensional 'pitch axis'. Often measured by the frequency (in hertz) of a sine wave having the same pitch.

'''cents''' - A logarithmic ~~units~~ of measure. For a ratio R, 1200 * log2(R).

'''cents''' - A logarithmic unit of measure. For a ratio R, 1200 * log2(R).

'''interval''' - The distance between two pitches, expressed as a ratio (of their associated frequencies in hertz) or in cents.

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'''generators''' - A set of intervals that generate a larger set through linear combination. e.g. the primes {2, 3} generate the Pythogorean scale.

'''just intonation subgroup''' - The set of JI ratios obtainable by stacking (finitely many) copies of a finite set of generators. For example, 7/6 is in the 2.3.7 subgroup.

'''temperament''' - A mapping from a [[just intonation subgroup]] to a set of intervals with fewer generators. expressible as a [[Intro_to_Mappings|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[Vals_and_Tuning_Space|vals]].

@@ Line 3: / Line 3: @@
 '''hertz''' - A unit for frequency; counts per second.
-'''pitch''' - The property of some sounds that allows them to be ordered on a one-dimensional 'pitch axis'. often measured by the frequency (in hertz) of a sine wave having the same pitch.
+'''pitch''' - The property of some sounds that allows them to be ordered on a one-dimensional 'pitch axis'. Often measured by the frequency (in hertz) of a sine wave having the same pitch.
-'''cents''' - A logarithmic units of measure. For a ratio R, 1200 * log2(R).
+'''cents''' - A logarithmic unit of measure. For a ratio R, 1200 * log2(R).
 '''interval''' - The distance between two pitches, expressed as a ratio (of their associated frequencies in hertz) or in cents.
@@ Line 22: / Line 22: @@
 '''generators''' - A set of intervals that generate a larger set through linear combination. e.g. the primes {2, 3} generate the Pythogorean scale.
+'''just intonation subgroup''' - The set of JI ratios obtainable by stacking (finitely many) copies of a finite set of generators. For example, 7/6 is in the 2.3.7 subgroup.
 '''temperament''' - A mapping from a [[just intonation subgroup]] to a set of intervals with fewer generators. expressible as a [[Intro_to_Mappings|mapping matrix]] whose columns are generators of the just intonation and whose rows are generators of the temperament. In particular, the row vectors are called [[Vals_and_Tuning_Space|vals]].