Mike Sheiman's Alternative Interval Categorizations: Difference between revisions
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People often say xenharmonic intervals like 16/11 are "sour" and mathematically similar intervals (e.g. octave inverses like | People often say xenharmonic intervals like [[16/11]] are "sour" and mathematically similar intervals (e.g. octave inverses like | ||
1/(16/11) or 11/8 | 1/(16/11) or [[11/8]] are "sweet". Doesn't that seem a bit counter intuitive? | ||
We've been told via standard music theory to accept everything, '''even xenharmonic/microtonal intervals, be''' '''pigeon-holed into some sort of diatonic category'''. | We've been told via standard music theory to accept everything, '''even xenharmonic/microtonal intervals, be''' '''pigeon-holed into some sort of [[diatonic]] category'''. | ||
In 12EDO C is the tonic/"first". | In [[12EDO]] C is the [[tonic]]/"first". | ||
C# (apx. 17/16) is a minor second | C# (apx. 17/16) is a minor second | ||
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'''Notice how...even in 12EDO, interval categories seem a bit shaky and inconsistent.''' | '''Notice how...even in 12EDO, interval categories seem a bit shaky and inconsistent.''' | ||
So how, then, to you categorize something like an 11/8 or 16/11 between a fourth and a fifth? Or an interval like 14/9, between a fifth and a sixth? Furthermore, how do explain when, for example, a 16/11 feels "sour" while an 11/8 slightly below it feels upbeat/sweet? | So how, then, to you categorize something like an 11/8 or 16/11 between a fourth and a fifth? Or an interval like [[14/9]], between a fifth and a sixth? Furthermore, how do explain when, for example, a 16/11 feels "sour" while an 11/8 slightly below it feels upbeat/sweet? | ||
Usually we simply add additional names as necessary and further complicate the system. 16/11? That's sour because it's a '''diminished''' fifth. Around 14/9? That's upbeat because it's an '''augmented''' fifth. Why not just stick with major ('''more upbeat''') and minor ('''more downbeat''') and neutral ('''in-between upbeat and downbeat and a bit sour''')...equally distributed among 4ths, 5ths, 6ths...? | Usually we simply add additional names as necessary and further complicate the system. 16/11? That's sour because it's a '''diminished''' fifth. Around 14/9? That's upbeat because it's an '''augmented''' fifth. Why not just stick with major ('''more upbeat''') and minor ('''more downbeat''') and neutral ('''in-between upbeat and downbeat and a bit sour''')...equally distributed among 4ths, 5ths, 6ths...? | ||
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At a quick glance...the point is '''with the latter system, you can hopefully quickly/easily tell which intervals to use to get upbeat (major), downbeat and a tad tense (minor), somewhat tense and mixed-mooded (neutral), or relatively sour (fourth-half) intervals.''' | At a quick glance...the point is '''with the latter system, you can hopefully quickly/easily tell which intervals to use to get upbeat (major), downbeat and a tad tense (minor), somewhat tense and mixed-mooded (neutral), or relatively sour (fourth-half) intervals.''' | ||
[[Category:Interval naming]] | |||