Armodue theory: Difference between revisions
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''(summary translation from the Italian language site'' [http://www.armodue.com/ricerche.htm Armodue] '')'' | ''(summary translation from the Italian language site'' [http://www.armodue.com/ricerche.htm Armodue] '')'' | ||
Armodue theory referring not only to the [[16edo|16-tone equal temperament]], but also to half-equal and [[Lou_Harrison|Lou Harrison]]'s [[JustIntonation|Just intonation]] 16 note scale, the natural octave division by [http://www.pertout.com/ Andrián Pertout] and the 16-to-31 [[OverToneSeries|overtone scale]], Armodue has been proposed as a new notation and theory system. | |||
Desiring to make the approach to Armodue as easy as possible, but conscious that they had to give new names to the notes that constitute the system, the Italian creators of the [http://armodue.com/ Armodue] system named them numbering from 1 to 9: | Desiring to make the approach to Armodue as easy as possible, but conscious that they had to give new names to the notes that constitute the system, the Italian creators of the [http://armodue.com/ Armodue] system named them numbering from 1 to 9: | ||
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[[file:Armodue_Neck.PNG|frame|none|Dot-Pattern inlays, by Armodue]] | [[file:Armodue_Neck.PNG|frame|none|Dot-Pattern inlays, by Armodue]] | ||
=Armodue just intonation - connection to Lou Harrison and Andrián Pertout= | ==Armodue just intonation - connection to Lou Harrison and Andrián Pertout== | ||
Armodue Just Intonation is nothing else than the 16-note scale by[[Lou_Harrison| Lou Harrison]] based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 15/8) in addition to the tritone and four other intervals that are based on the harmonic seventh (the ratios 8/7, 7/6, 12/7, 7/4). | Armodue Just Intonation is nothing else than the 16-note scale by[[Lou_Harrison| Lou Harrison]] based on simple ratios and pure intervals. In this scale there are practically the same twelve intervals of the "natural" or "Zarlinian" scale (the semitone 16/15, the minor wholetone 10/9, the minor third 6/5, the major third 5/4, the pure forth and fifth 4/3 and 3/2, the minor sixth 8/5, the major sixth 5/3, the minor seventh that is the complement of the minor wholetone 9/5, the major seventh 15/8) in addition to the tritone and four other intervals that are based on the harmonic seventh (the ratios 8/7, 7/6, 12/7, 7/4). | ||
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=Semi-equalized Armodue= | ==Semi-equalized Armodue== | ||
One step of 16edo (75 cents) is nearly equal to two steps (2\31) of [[31edo|31edo]] (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of [[Starling_temperaments#Valentine temperament|valentine temperament]]. Similarly we might use three steps of [[46edo|46edo]], 3\46, 78.26 cents, or five steps of [[77edo|77edo]], 77.92 cents. | One step of 16edo (75 cents) is nearly equal to two steps (2\31) of [[31edo|31edo]] (77.42 cents). If we take the latter as a base, we get semi-equalized Armodue. In this temperament there is inevitably a smaller microtone (eka between the notes '7#' and '8'). leading to the 16 note MOS Valentine[16] of [[Starling_temperaments#Valentine temperament|valentine temperament]]. Similarly we might use three steps of [[46edo|46edo]], 3\46, 78.26 cents, or five steps of [[77edo|77edo]], 77.92 cents. | ||