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Weird typo in consonance/dissonance section Getty Ritter 8 years ago
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drafts/temperament-and-tuning.telml less more
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4343 In music and music theory, notes which "go together" are said to be \em{consonant} and notes which "don't go together" are called \em{dissonant}. When talking about two notes, we can refer to their difference as an \em{interval}, so consonance and dissonance are generally a property of intervals.
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45 There isn't a strictly-defined separation between consonance and dissonance: some pairs of sounds are notes consonant (such as notes related by the the \tt{2:1} ratio) and some are clearly dissonant, but there is no well-defined cutoff point where an interval stops being consonant and start being dissonant. It's best to think of them as relative to one another: a pair of sounds can be \em{more consonant} or \em{more dissonant} than another pair, rather than being \em{consonant} or \em{dissonant} on an absolute scale.\ref{condis} \sidenote{Also note that the terms \em{consonant} and \em{dissonant} are old, and have been informally and sometimes contradictorily defined for centuries: some people define them in terms of frequencies, some in terms of perception, some in terms of both. Defining them as \em{pleasant} and \em{unpleasant} is reductive, but not necessarily a bad intuition.}
45 There isn't a strictly-defined separation between consonance and dissonance: some pairs of sounds are clearly consonant (such as notes related by the the \tt{2:1} ratio) and some are clearly dissonant, but there is no well-defined cutoff point where an interval stops being consonant and start being dissonant. It's best to think of them as relative to one another: a pair of sounds can be \em{more consonant} or \em{more dissonant} than another pair, rather than being \em{consonant} or \em{dissonant} on an absolute scale.\ref{condis} \sidenote{Also note that the terms \em{consonant} and \em{dissonant} are old, and have been informally and sometimes contradictorily defined for centuries: some people define them in terms of frequencies, some in terms of perception, some in terms of both. Defining them as \em{pleasant} and \em{unpleasant} is reductive, but not necessarily a bad intuition.}
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4747 \h1{Picking Points in Sound-Space}
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