13edo: Difference between revisions
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To facilitate discussion of these scales, [[Cryptic Ruse]] has ascribed them names based on H.P. Lovecraft's "Dream Cycle" mythos. | To facilitate discussion of these scales, [[Cryptic Ruse]] has ascribed them names based on H.P. Lovecraft's "Dream Cycle" mythos. | ||
==== Modes and | ==== Modes and harmony in the archeotonic scale ==== | ||
The 2\13-based heptatonic has been named '''archeotonic''' after the "Old Ones" that rule the Dreamlands. Modes of the archeotonic are named after the individual Old Ones. | The 2\13-based heptatonic has been named '''archeotonic''' after the "Old Ones" that rule the Dreamlands. Modes of the archeotonic are named after the individual Old Ones. | ||
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There may be other concordant harmonies possible in this scale that do not represent segments of the harmonic series; further exploration is pending. | There may be other concordant harmonies possible in this scale that do not represent segments of the harmonic series; further exploration is pending. | ||
==== Modes and | ==== Modes and harmony in the oneirotonic scale ==== | ||
The 5\13-based octatonic has been named '''[[oneirotonic]]''' after the Dreamlands themselves. Modes of the oneirotonic are named after cities in the Dreamlands. | The 5\13-based octatonic has been named '''[[oneirotonic]]''' after the Dreamlands themselves. Modes of the oneirotonic are named after cities in the Dreamlands. | ||
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Our approach is based on [[5L 3s]]. In fact, we have an absolute pitch notation for 5L 3s edos called the [[User:Inthar/Fox-Raven notation|Fox-Raven notation]]. | Our approach is based on [[5L 3s]]. In fact, we have an absolute pitch notation for 5L 3s edos called the [[User:Inthar/Fox-Raven notation|Fox-Raven notation]]. | ||
== Mapping to | == Mapping to standard keyboards == | ||
The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use. | The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use. | ||
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0 1 3 4 5 8 9 10 12 13 nonatonic | 0 1 3 4 5 8 9 10 12 13 nonatonic | ||
== Introductory | == Introductory materials == | ||
=== By Inthar === | === By Inthar === | ||
* [[File:13edo_1MC.mp3|270px]] 13edo example composition ([[File:13edo_1MC_score.pdf|score]]) | * [[File:13edo_1MC.mp3|270px]] 13edo example composition ([[File:13edo_1MC_score.pdf|score]]) | ||
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== See also == | == See also == | ||
* [[Kentaku's_Approach_to_13EDO|William Lynch's 13 EDO octaton approach]] | * [[Kentaku's_Approach_to_13EDO|William Lynch's 13 EDO octaton approach]] | ||
* [[13EDO Scales and Chords for Guitar]] | * [[13EDO Scales and Chords for Guitar]] | ||