15edo: Difference between revisions
Wikispaces>TallKite **Imported revision 606398377 - Original comment: ** |
Wikispaces>TallKite **Imported revision 606399375 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-02-15 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-02-15 17:06:04 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>606399375</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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*based on treating 15-EDO as an 11-limit temperament; other approaches are possible | *based on treating 15-EDO as an 11-limit temperament; other approaches are possible | ||
In [[Ups and Downs Notation#Summary%20of%20EDO%20notation-%22Pentatonic%22%20EDOs|ups and downs notation]], which is fifth-generated, every 15edo note has at least three names. 15edo can also be notated using the [[Ups and Downs Notation#Natural%20Generators|natural generator]], which is not the 9\15 5th but the 2\15 2nd, also known as porcupine notation. The 15edo porcupine genchain | In [[Ups and Downs Notation#Summary%20of%20EDO%20notation-%22Pentatonic%22%20EDOs|ups and downs notation]], which is fifth-generated, every 15edo note has at least three names. 15edo can also be notated using the [[Ups and Downs Notation#Natural%20Generators|natural generator]], which is not the 9\15 5th but the 2\15 2nd. For 15edo, this is also known as porcupine notation. The 15edo porcupine genchain in both relative and absolute notation: | ||
...A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8 - d2 - d3... | ...A3 - A4 - A5 - A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 -- d8 - d2 - d3 -- d4 - d5 -- d6... | ||
...Fx - Gx - A# - B# - C# - D# - E# - F# - G# --- A --- B --- C -- D --- E --- F --- G -- Ab -- Bb - Cb - Db - Eb - Fb - Gb - Abb - Bbb... | |||
||= step ||= cents ||||= ups and downs relative notation | ||= step ||= cents ||||= ups and downs relative notation | ||
(partial list, e.g. M2 is also A1 and d4) ||= ups and downs | (partial list, e.g. M2 is also A1 and d4) ||= ups and downs | ||
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*based on treating 15-EDO as an 11-limit temperament; other approaches are possible<br /> | *based on treating 15-EDO as an 11-limit temperament; other approaches are possible<br /> | ||
<br /> | <br /> | ||
In <a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Summary%20of%20EDO%20notation-%22Pentatonic%22%20EDOs">ups and downs notation</a>, which is fifth-generated, every 15edo note has at least three names. 15edo can also be notated using the <a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Natural%20Generators">natural generator</a>, which is not the 9\15 5th but the 2\15 2nd, also known as porcupine notation. The 15edo porcupine genchain | In <a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Summary%20of%20EDO%20notation-%22Pentatonic%22%20EDOs">ups and downs notation</a>, which is fifth-generated, every 15edo note has at least three names. 15edo can also be notated using the <a class="wiki_link" href="/Ups%20and%20Downs%20Notation#Natural%20Generators">natural generator</a>, which is not the 9\15 5th but the 2\15 2nd. For 15edo, this is also known as porcupine notation. The 15edo porcupine genchain in both relative and absolute notation:<br /> | ||
...A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 - d8 - d2 - d3...<br /> | ...A3 - A4 - A5 - A6 - A7 - A1 - A2 - M3 - M4 - M5 - M6 - P7 - P1 - P2 - m3 - m4 - m5 - m6 - d7 -- d8 - d2 - d3 -- d4 - d5 -- d6...<br /> | ||
...Fx - Gx - A# - B# - C# - D# - E# - F# - G# --- A --- B --- C -- D --- E --- F --- G -- Ab -- Bb - Cb - Db - Eb - Fb - Gb - Abb - Bbb...<br /> | |||