Kite's thoughts on fifthspans: Difference between revisions

TallKite (talk | contribs)
TallKite (talk | contribs)
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Examples of unsplit pergens include [[Meantone]], [[Schismatic|Layo aka Schismatic]], and [[Archy|Ru aka Archy]]. 3-limit just intonation, also known as pythagorean tuning, is simply a special case of the unsplit pergen. The concept of fifthspan doesn't apply to split pergens. If the pergen is split but the octave is unsplit, the concept may be generalized to genspan, the distance along the genchain, or chain of generators.
Examples of unsplit pergens include [[Meantone]], [[Schismatic|Layo aka Schismatic]], and [[Archy|Ru aka Archy]]. 3-limit just intonation, also known as pythagorean tuning, is simply a special case of the unsplit pergen. The concept of fifthspan doesn't apply to split pergens. If the pergen is split but the octave is unsplit, the concept may be generalized to genspan, the distance along the genchain, or chain of generators.  
{| class="wikitable" style="text-align:center"
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|+The genchain for pergen (P8, P4/3)
|+The genchain for pergen (P8, P4/3)
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!genspan
!genspan
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|5
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|0
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| -5
| -6
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| -3
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|0
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