12/1: Difference between revisions
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| Sound = jid_12_1_pluck_adu_dr55.mp3 | | Sound = jid_12_1_pluck_adu_dr55.mp3 | ||
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'''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a | '''12/1''', the '''12th harmonic''' or '''duodecuple''', is the [[harmonic]] past [[11/1]] and before [[13/1]]. It is three [[octave]]s above [[3/2]]. Since 12 is a [[highly composite number]], this harmonic can be approached in various ways of stacking, all the components being [[Pythagorean tuning|Pythagorean]] intervals. For example, stacking with octaves, [[3/2|fifth]]s and [[4/3|fourth]]s gives a [[consonant]] but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which [[harmonic limit|higher-limit]] intervals can be added to enrich its colors. | ||
== See also == | == See also == | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Ed12]] | * [[Ed12]] | ||
Revision as of 16:00, 1 April 2025
| Interval information |
duodecuple
highly composite harmonic
[sound info]
12/1, the 12th harmonic or duodecuple, is the harmonic past 11/1 and before 13/1. It is three octaves above 3/2. Since 12 is a highly composite number, this harmonic can be approached in various ways of stacking, all the components being Pythagorean intervals. For example, stacking with octaves, fifths and fourths gives a consonant but simplistic skeleton across multiple registers: 1-2-3-4-6-12, on which higher-limit intervals can be added to enrich its colors.