Ploidacot/Tetracot/Generator tunings: Difference between revisions

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This MOS is the chromatic and enharmonic scale of the family of temperaments which represent 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.
For most of its generator range,  this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.


{| class="wikitable"
{| class="wikitable"
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! colspan="2" | Syntonic comma
! colspan="2" | Syntonic comma
! | cents
! | cents
! colspan="3" | <span style="font-size: 12.8px;">Generator</span>
! colspan="3" | Generator
|-
|-
| | 1/7
| | 1/7
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| |  
| |  
| | 171.429
| | 171.429
| colspan="2" style="text-align:center;" | 0
| | 0
| | 184.615
| | 184.615
| |  
| |  
Line 89: Line 89:
| |  
| |  
| | 176.271
| | 176.271
| | 33.<span style="line-height: 1.5;">8983</span>
| | 33.8983
| | 24.691
| | 24.691
| | 182.741
| | 182.741
Line 595: Line 595:
| |  
| |  
| | 180
| | 180
| colspan="2" style="text-align:center;" | 60
| | 60
| | 60
| | 180
| | 180
| |  
| |