Interval size measure: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 597524674 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 597524720 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 23: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 23:47:55 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597524720</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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The [[cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal. | The [[cent]] (¢), [[1200edo|1\1200 octave]], is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal. | ||
Other measures include the [[Armodue theory|Eka]], [[16edo|1\16 octave]], [[Normal diesis]]: [[31edo|1\31 octave]]; the [[Méride]]: [[43edo|1\43 octave]]; the [[Holdrian comma]]: [[53edo|1\53 octave]]; the [[Morion]]: [[72edo|1\72 octave]]; the [[Farab]]: [[144edo|1\144 octave]]; the [[Mem]]: [[205edo|1\205 octave]] (used by [[http://www.h-pi.com/theory/measurement3.html|Hi-pi Instruments]]); the [[Tredek]]: [[270edo|1\270 octave]]; the [[Eptaméride]] or [[Savart]]: [[301edo|1\301 of an octave]]; the [[Gene]]: [[31edo|1\311 octave]]; the [[Dröbisch Angle]]: [[360edo|1\360 octave]]; the [[Squb]]: [[494edo|1\494 octave]]; the [[Iring]]: [[600edo|1\600 octave]]; the [[Skisma]]: [[612edo|1\612 octave]]; the [[Delfi]]: [[665edo|1\665 octave]]; the [[Woolhouse]]: [[730edo|1\730 octave]]; the [[millioctave]] (mO), [[1000edo|1\1000 octave]]; the [[ | Other measures include the [[Armodue theory|Eka]], [[16edo|1\16 octave]], [[Normal diesis]]: [[31edo|1\31 octave]]; the [[Méride]]: [[43edo|1\43 octave]]; the [[Holdrian comma]]: [[53edo|1\53 octave]]; the [[Morion]]: [[72edo|1\72 octave]]; the [[Farab]]: [[144edo|1\144 octave]]; the [[Mem]]: [[205edo|1\205 octave]] (used by [[http://www.h-pi.com/theory/measurement3.html|Hi-pi Instruments]]); the [[Tredek]]: [[270edo|1\270 octave]]; the [[Eptaméride]] or [[Savart]]: [[301edo|1\301 of an octave]]; the [[Gene]]: [[31edo|1\311 octave]]; the [[Dröbisch Angle]]: [[360edo|1\360 octave]]; the [[Squb]]: [[494edo|1\494 octave]]; the [[Iring]]: [[600edo|1\600 octave]]; the [[Skisma]]: [[612edo|1\612 octave]]; the [[Delfi]]: [[665edo|1\665 octave]]; the [[Woolhouse]]: [[730edo|1\730 octave]]; the [[millioctave]] (mO), [[1000edo|1\1000 octave]]; the [[fine cent]] or deciFarab: [[1440edo|1\1440 octave]]; the [[Iota]]: [[1\1700 octave]]; the [[Harmos]]: [[1728edo|1\1728octave]]; the [[Mina]]: [[2460edo|1\2460 octave]]; the [[Tina]]: [[8539edo|1\8539 octave]]; the [[Purdal]]: [[9900edo|1\9900 octave]]; the [[Türk sent]]: [[10600edo|1\10600 octave]]; the [[Prima]]: [[12276edo|1\12276 octave]], the [[Jinn]]: [[16808edo|1\16808 octave]], the [[Jot]]: [[30103edo|1\30103 octave]]; the [[Imp]]: [[31920edo|1\31920 octave]]; the [[Flu]]: [[46032edo|1\46032 octave]]; and the [[MIDI Tuning Standard unit]]: [[196608edo|1\196608 octave]]. Not based on the octave are the [[Grad]]: 1/12 of a Pythagorean comma and the [[Hekt]]: 1/1300 part of 3, ie 3^(1/1300). | ||
See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]] | See [[http://www.huygens-fokker.org/docs/measures.html|Logarithmic Interval Measures]] | ||
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The <a class="wiki_link" href="/cent">cent</a> (¢), <a class="wiki_link" href="/1200edo">1\1200 octave</a>, is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.<br /> | The <a class="wiki_link" href="/cent">cent</a> (¢), <a class="wiki_link" href="/1200edo">1\1200 octave</a>, is the classic measure for intervals when more precision than 12edo is requied. Some people object to it on the grounds that it is too closely related to 12 equal.<br /> | ||
<br /> | <br /> | ||
Other measures include the <a class="wiki_link" href="/Armodue%20theory">Eka</a>, <a class="wiki_link" href="/16edo">1\16 octave</a>, <a class="wiki_link" href="/Normal%20diesis">Normal diesis</a>: <a class="wiki_link" href="/31edo">1\31 octave</a>; the <a class="wiki_link" href="/M%C3%A9ride">Méride</a>: <a class="wiki_link" href="/43edo">1\43 octave</a>; the <a class="wiki_link" href="/Holdrian%20comma">Holdrian comma</a>: <a class="wiki_link" href="/53edo">1\53 octave</a>; the <a class="wiki_link" href="/Morion">Morion</a>: <a class="wiki_link" href="/72edo">1\72 octave</a>; the <a class="wiki_link" href="/Farab">Farab</a>: <a class="wiki_link" href="/144edo">1\144 octave</a>; the <a class="wiki_link" href="/Mem">Mem</a>: <a class="wiki_link" href="/205edo">1\205 octave</a> (used by <a class="wiki_link_ext" href="http://www.h-pi.com/theory/measurement3.html" rel="nofollow">Hi-pi Instruments</a>); the <a class="wiki_link" href="/Tredek">Tredek</a>: <a class="wiki_link" href="/270edo">1\270 octave</a>; the <a class="wiki_link" href="/Eptam%C3%A9ride">Eptaméride</a> or <a class="wiki_link" href="/Savart">Savart</a>: <a class="wiki_link" href="/301edo">1\301 of an octave</a>; the <a class="wiki_link" href="/Gene">Gene</a>: <a class="wiki_link" href="/31edo">1\311 octave</a>; the <a class="wiki_link" href="/Dr%C3%B6bisch%20Angle">Dröbisch Angle</a>: <a class="wiki_link" href="/360edo">1\360 octave</a>; the <a class="wiki_link" href="/Squb">Squb</a>: <a class="wiki_link" href="/494edo">1\494 octave</a>; the <a class="wiki_link" href="/Iring">Iring</a>: <a class="wiki_link" href="/600edo">1\600 octave</a>; the <a class="wiki_link" href="/Skisma">Skisma</a>: <a class="wiki_link" href="/612edo">1\612 octave</a>; the <a class="wiki_link" href="/Delfi">Delfi</a>: <a class="wiki_link" href="/665edo">1\665 octave</a>; the <a class="wiki_link" href="/Woolhouse">Woolhouse</a>: <a class="wiki_link" href="/730edo">1\730 octave</a>; the <a class="wiki_link" href="/millioctave">millioctave</a> (mO), <a class="wiki_link" href="/1000edo">1\1000 octave</a>; the <a class="wiki_link" href="/fine%20cent">fine cent </a>or deciFarab: <a class="wiki_link" href="/1440edo">1\1440 octave</a>; the <a class="wiki_link" href="/Iota">Iota</a>: <a class="wiki_link" href="/1%5C1700%20octave">1\1700 octave</a>; the <a class="wiki_link" href="/Harmos">Harmos</a>: <a class="wiki_link" href="/1728edo">1\1728octave</a>; the <a class="wiki_link" href="/Mina">Mina</a>: <a class="wiki_link" href="/2460edo">1\2460 octave</a>; the <a class="wiki_link" href="/Tina">Tina</a>: <a class="wiki_link" href="/8539edo">1\8539 octave</a>; the <a class="wiki_link" href="/Purdal">Purdal</a>: <a class="wiki_link" href="/9900edo">1\9900 octave</a>; the <a class="wiki_link" href="/T%C3%BCrk%20sent">Türk sent</a>: <a class="wiki_link" href="/10600edo">1\10600 octave</a>; the <a class="wiki_link" href="/Prima">Prima</a>: <a class="wiki_link" href="/12276edo">1\12276 octave</a>, the <a class="wiki_link" href="/Jinn">Jinn</a>: <a class="wiki_link" href="/16808edo">1\16808 octave</a>, the <a class="wiki_link" href="/Jot">Jot</a>: <a class="wiki_link" href="/30103edo">1\30103 octave</a>; the <a class="wiki_link" href="/Imp">Imp</a>: <a class="wiki_link" href="/31920edo">1\31920 octave</a>; the <a class="wiki_link" href="/Flu">Flu</a>: <a class="wiki_link" href="/46032edo">1\46032 octave</a>; and the <a class="wiki_link" href="/MIDI%20Tuning%20Standard%20unit">MIDI Tuning Standard unit</a>: <a class="wiki_link" href="/196608edo">1\196608 octave</a>. Not based on the octave are the <a class="wiki_link" href="/Grad">Grad</a>: 1/12 of a Pythagorean comma and the <a class="wiki_link" href="/Hekt">Hekt</a>: 1/1300 part of 3, ie 3^(1/1300).<br /> | Other measures include the <a class="wiki_link" href="/Armodue%20theory">Eka</a>, <a class="wiki_link" href="/16edo">1\16 octave</a>, <a class="wiki_link" href="/Normal%20diesis">Normal diesis</a>: <a class="wiki_link" href="/31edo">1\31 octave</a>; the <a class="wiki_link" href="/M%C3%A9ride">Méride</a>: <a class="wiki_link" href="/43edo">1\43 octave</a>; the <a class="wiki_link" href="/Holdrian%20comma">Holdrian comma</a>: <a class="wiki_link" href="/53edo">1\53 octave</a>; the <a class="wiki_link" href="/Morion">Morion</a>: <a class="wiki_link" href="/72edo">1\72 octave</a>; the <a class="wiki_link" href="/Farab">Farab</a>: <a class="wiki_link" href="/144edo">1\144 octave</a>; the <a class="wiki_link" href="/Mem">Mem</a>: <a class="wiki_link" href="/205edo">1\205 octave</a> (used by <a class="wiki_link_ext" href="http://www.h-pi.com/theory/measurement3.html" rel="nofollow">Hi-pi Instruments</a>); the <a class="wiki_link" href="/Tredek">Tredek</a>: <a class="wiki_link" href="/270edo">1\270 octave</a>; the <a class="wiki_link" href="/Eptam%C3%A9ride">Eptaméride</a> or <a class="wiki_link" href="/Savart">Savart</a>: <a class="wiki_link" href="/301edo">1\301 of an octave</a>; the <a class="wiki_link" href="/Gene">Gene</a>: <a class="wiki_link" href="/31edo">1\311 octave</a>; the <a class="wiki_link" href="/Dr%C3%B6bisch%20Angle">Dröbisch Angle</a>: <a class="wiki_link" href="/360edo">1\360 octave</a>; the <a class="wiki_link" href="/Squb">Squb</a>: <a class="wiki_link" href="/494edo">1\494 octave</a>; the <a class="wiki_link" href="/Iring">Iring</a>: <a class="wiki_link" href="/600edo">1\600 octave</a>; the <a class="wiki_link" href="/Skisma">Skisma</a>: <a class="wiki_link" href="/612edo">1\612 octave</a>; the <a class="wiki_link" href="/Delfi">Delfi</a>: <a class="wiki_link" href="/665edo">1\665 octave</a>; the <a class="wiki_link" href="/Woolhouse">Woolhouse</a>: <a class="wiki_link" href="/730edo">1\730 octave</a>; the <a class="wiki_link" href="/millioctave">millioctave</a> (mO), <a class="wiki_link" href="/1000edo">1\1000 octave</a>; the <a class="wiki_link" href="/fine%20cent">fine cent</a> or deciFarab: <a class="wiki_link" href="/1440edo">1\1440 octave</a>; the <a class="wiki_link" href="/Iota">Iota</a>: <a class="wiki_link" href="/1%5C1700%20octave">1\1700 octave</a>; the <a class="wiki_link" href="/Harmos">Harmos</a>: <a class="wiki_link" href="/1728edo">1\1728octave</a>; the <a class="wiki_link" href="/Mina">Mina</a>: <a class="wiki_link" href="/2460edo">1\2460 octave</a>; the <a class="wiki_link" href="/Tina">Tina</a>: <a class="wiki_link" href="/8539edo">1\8539 octave</a>; the <a class="wiki_link" href="/Purdal">Purdal</a>: <a class="wiki_link" href="/9900edo">1\9900 octave</a>; the <a class="wiki_link" href="/T%C3%BCrk%20sent">Türk sent</a>: <a class="wiki_link" href="/10600edo">1\10600 octave</a>; the <a class="wiki_link" href="/Prima">Prima</a>: <a class="wiki_link" href="/12276edo">1\12276 octave</a>, the <a class="wiki_link" href="/Jinn">Jinn</a>: <a class="wiki_link" href="/16808edo">1\16808 octave</a>, the <a class="wiki_link" href="/Jot">Jot</a>: <a class="wiki_link" href="/30103edo">1\30103 octave</a>; the <a class="wiki_link" href="/Imp">Imp</a>: <a class="wiki_link" href="/31920edo">1\31920 octave</a>; the <a class="wiki_link" href="/Flu">Flu</a>: <a class="wiki_link" href="/46032edo">1\46032 octave</a>; and the <a class="wiki_link" href="/MIDI%20Tuning%20Standard%20unit">MIDI Tuning Standard unit</a>: <a class="wiki_link" href="/196608edo">1\196608 octave</a>. Not based on the octave are the <a class="wiki_link" href="/Grad">Grad</a>: 1/12 of a Pythagorean comma and the <a class="wiki_link" href="/Hekt">Hekt</a>: 1/1300 part of 3, ie 3^(1/1300).<br /> | ||
<br /> | <br /> | ||
See <a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/measures.html" rel="nofollow">Logarithmic Interval Measures</a><br /> | See <a class="wiki_link_ext" href="http://www.huygens-fokker.org/docs/measures.html" rel="nofollow">Logarithmic Interval Measures</a><br /> | ||