User:Eufalesio/Harmonic Segments Along Fifths: Difference between revisions
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Harmonic Segments Along Fifths (HSAF) [sing. ''a Harmonic Segment along Fifths''] are a type of octave-[[periodic scale]] built by taking a specific [[harmonic series segment]] that ends in 4/3 and repeating times 3/2. They are a unique mix of [[tetrachord]]<nowiki/>s and [[overtone scales]] that exhibit [[omnitetrachordality]] to some extent, and a type of [[NEJI]] (Near-equivalent Just Intonation). | Harmonic Segments Along Fifths (HSAF) [sing. ''a Harmonic Segment along Fifths''] are a type of octave-[[periodic scale]] built by taking a specific [[harmonic series segment]] that ends in 4/3 and repeating times 3/2. They are a unique mix of [[tetrachord]]<nowiki/>s and [[overtone scales]] that exhibit [[omnitetrachordality]] to some extent, and a type of [[NEJI]] (Near-equivalent Just Intonation). | ||
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=== HSAF 2 - | === HSAF 2 - Septimal minor pentatonic === | ||
<code>12:14:16:18:21:24</code>. Harmonic segment: '''6::8'''. | <code>12:14:16:18:21:24</code>. Harmonic segment: '''6::8'''. | ||
First usable HSAF, the first prime HSAF, and the only one that is [[Strict variety]] 3 and a [[generator sequence]]. | First usable HSAF, the first prime HSAF, and the only one that is [[Strict variety]] 3 and a [[generator sequence]]. | ||
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=== HSAF 3 | === HSAF 3 === | ||
<code>18:20:22:24:27:30:33:36</code>. Harmonic segment: '''9::12'''. | <code>18:20:22:24:27:30:33:36</code>. Harmonic segment: '''9::12'''. | ||
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=== HSAF 4 | === HSAF 4 === | ||
<code>24:26:28:30:32:34:36:39:42:45:48</code>. Harmonic segment: '''12::16'''. | <code>24:26:28:30:32:34:36:39:42:45:48</code>. Harmonic segment: '''12::16'''. | ||
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=== HSAF 8 | === HSAF 8 === | ||
<code>48:50:52:54:56:58:60:62:64:66:68:70:72:75:78:81:84:87:90:93:96</code>. Harmonic segment: '''24::32.''' | <code>48:50:52:54:56:58:60:62:64:66:68:70:72:75:78:81:84:87:90:93:96</code>. Harmonic segment: '''24::32.''' | ||