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Subharmonics 18–36: Difference between revisions

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BudjarnLambeth (talk | contribs)
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m →Modes: highlight only major third not supermajor third cells because supermajor thirds are significantly less consonant
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,830 edits
m →Modes: 11/8 is increasingly important in higher octaves as 11/4, 11/2, etc so worth including
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'''Orange''' indicates intervals in the subminor and minor third [[interval region]]s.
'''Orange''' indicates intervals in the subminor and minor third [[interval region]]s.


'''Yellow''' indicates intervals in the major third interval region.
'''Yellow''' indicates intervals in the major third region.


'''Teal''' indicates intervals in the perfect fourth interval region.
'''Teal''' indicates intervals in the perfect fourth region.
 
'''Pink''' indicates intervals in the semiaugmented fourth (near 11/8) region.


'''Blue''' indicates intervals in the perfect fifth interval region.
'''Blue''' indicates intervals in the perfect fifth interval region.
Line 156: Line 158:
|-
|-
! 0
! 0
| 0 || 48.77 || 98.955 || 150.637 || 203.91 || style="background:#FFD6A5; font-weight:bold;" | 258.874 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 374.333 || 435.084 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || 563.382 || 631.283 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 775.636 || 852.592 || 933.129 || 1017.596 || 1106.397 || 0
| 0 || 48.77 || 98.955 || 150.637 || 203.91 || style="background:#FFD6A5; font-weight:bold;" | 258.874 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 374.333 || 435.084 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || style="background:#FFC6FF; font-weight:bold;" | 563.382 || 631.283 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 775.636 || 852.592 || 933.129 || 1017.596 || 1106.397 || 0
|-
|-
! 48.77
! 48.77
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|-
|-
! 98.955
! 98.955
| 1101.045 || 1149.815 || 0 || 51.682 || 104.955 || 159.919 || 216.686 || style="background:#FFD6A5; font-weight:bold;" | 275.378 || style="background:#FFD6A5; font-weight:bold;" | 336.129 || style="background:#FDFFB6; font-weight:bold;" | 399.09 || 464.427 || 532.328 || 603 || 676.681 || 753.637 || 834.174 || 918.641 || 1007.442 || 1101.045
| 1101.045 || 1149.815 || 0 || 51.682 || 104.955 || 159.919 || 216.686 || style="background:#FFD6A5; font-weight:bold;" | 275.378 || style="background:#FFD6A5; font-weight:bold;" | 336.129 || style="background:#FDFFB6; font-weight:bold;" | 399.09 || 464.427 || style="background:#FFC6FF; font-weight:bold;" | 532.328 || 603 || 676.681 || 753.637 || 834.174 || 918.641 || 1007.442 || 1101.045
|-
|-
! 150.637
! 150.637
| 1049.363 || 1098.133 || 1148.318 || 0 || 53.273 || 108.237 || 165.004 || 223.696 || style="background:#FFD6A5; font-weight:bold;" | 284.447 || 347.408 || 412.745 || style="background:#9BF6FF; font-weight:bold;" | 480.646 || 551.318 || 624.999 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 782.492 || style="background:#CAFFBF; font-weight:bold;" | 866.959 || style="background:#FFADAD; font-weight:bold;" | 955.76 || 1049.363
| 1049.363 || 1098.133 || 1148.318 || 0 || 53.273 || 108.237 || 165.004 || 223.696 || style="background:#FFD6A5; font-weight:bold;" | 284.447 || 347.408 || 412.745 || style="background:#9BF6FF; font-weight:bold;" | 480.646 || style="background:#FFC6FF; font-weight:bold;" | 551.318 || 624.999 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 782.492 || style="background:#CAFFBF; font-weight:bold;" | 866.959 || style="background:#FFADAD; font-weight:bold;" | 955.76 || 1049.363
|-
|-
! 203.91
! 203.91
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|-
|-
! 315.641
! 315.641
| style="background:#CAFFBF; font-weight:bold;" | 884.359 || 933.129 || style="background:#FFADAD; font-weight:bold;" | 983.314 || 1034.996 || 1088.269 || 1143.233 || 0 || 58.692 || 119.443 || 182.404 || 247.741 || style="background:#FFD6A5; font-weight:bold;" | 315.642 || style="background:#FDFFB6; font-weight:bold;" | 386.314 || 459.995 || 536.951 || 617.488 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 790.756 || style="background:#CAFFBF; font-weight:bold;" | 884.359
| style="background:#CAFFBF; font-weight:bold;" | 884.359 || 933.129 || style="background:#FFADAD; font-weight:bold;" | 983.314 || 1034.996 || 1088.269 || 1143.233 || 0 || 58.692 || 119.443 || 182.404 || 247.741 || style="background:#FFD6A5; font-weight:bold;" | 315.642 || style="background:#FDFFB6; font-weight:bold;" | 386.314 || 459.995 || style="background:#FFC6FF; font-weight:bold;" | 536.951 || 617.488 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 790.756 || style="background:#CAFFBF; font-weight:bold;" | 884.359
|-
|-
! 374.333
! 374.333
| 825.667 || style="background:#CAFFBF; font-weight:bold;" | 874.437 || 924.622 || style="background:#FFADAD; font-weight:bold;" | 976.304 || 1029.577 || 1084.541 || 1141.308 || 0 || 60.751 || 123.712 || 189.049 || style="background:#FFD6A5; font-weight:bold;" | 256.95 || style="background:#FFD6A5; font-weight:bold;" | 327.622 || style="background:#FDFFB6; font-weight:bold;" | 401.303 || style="background:#9BF6FF; font-weight:bold;" | 478.259 || 558.796 || 643.263 || 732.064 || 825.667
| 825.667 || style="background:#CAFFBF; font-weight:bold;" | 874.437 || 924.622 || style="background:#FFADAD; font-weight:bold;" | 976.304 || 1029.577 || 1084.541 || 1141.308 || 0 || 60.751 || 123.712 || 189.049 || style="background:#FFD6A5; font-weight:bold;" | 256.95 || style="background:#FFD6A5; font-weight:bold;" | 327.622 || style="background:#FDFFB6; font-weight:bold;" | 401.303 || style="background:#9BF6FF; font-weight:bold;" | 478.259 || style="background:#FFC6FF; font-weight:bold;" | 558.796 || 643.263 || 732.064 || 825.667
|-
|-
! 435.084
! 435.084
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|-
|-
! 563.382
! 563.382
| 636.618 || style="background:#A0C4FF; font-weight:bold;" | 685.388 || 735.573 || 787.255 || 840.528 || style="background:#CAFFBF; font-weight:bold;" | 895.492 || style="background:#FFADAD; font-weight:bold;" | 952.259 || 1010.951 || 1071.702 || 1134.663 || 0 || 67.901 || 138.573 || 212.254 || style="background:#FFD6A5; font-weight:bold;" | 289.21 || style="background:#FDFFB6; font-weight:bold;" | 369.747 || 454.214 || 543.015 || 636.618
| 636.618 || style="background:#A0C4FF; font-weight:bold;" | 685.388 || 735.573 || 787.255 || 840.528 || style="background:#CAFFBF; font-weight:bold;" | 895.492 || style="background:#FFADAD; font-weight:bold;" | 952.259 || 1010.951 || 1071.702 || 1134.663 || 0 || 67.901 || 138.573 || 212.254 || style="background:#FFD6A5; font-weight:bold;" | 289.21 || style="background:#FDFFB6; font-weight:bold;" | 369.747 || 454.214 || style="background:#FFC6FF; font-weight:bold;" | 543.015 || 636.618
|-
|-
! 631.283
! 631.283
| 568.717 || 617.487 || 667.672 || style="background:#A0C4FF; font-weight:bold;" | 719.354 || 772.627 || 827.591 || style="background:#CAFFBF; font-weight:bold;" | 884.358 || 943.05 || 1003.801 || 1066.762 || 1132.099 || 0 || 70.672 || 144.353 || 221.309 || style="background:#FFD6A5; font-weight:bold;" | 301.846 || style="background:#FDFFB6; font-weight:bold;" | 386.313 || 475.114 || 568.717
| style="background:#FFC6FF; font-weight:bold;" | 568.717 || 617.487 || 667.672 || style="background:#A0C4FF; font-weight:bold;" | 719.354 || 772.627 || 827.591 || style="background:#CAFFBF; font-weight:bold;" | 884.358 || 943.05 || 1003.801 || 1066.762 || 1132.099 || 0 || 70.672 || 144.353 || 221.309 || style="background:#FFD6A5; font-weight:bold;" | 301.846 || style="background:#FDFFB6; font-weight:bold;" | 386.313 || 475.114 || style="background:#FFC6FF; font-weight:bold;" | 568.717
|-
|-
! 701.955
! 701.955
| style="background:#9BF6FF; font-weight:bold;" | 498.045 || 546.815 || 597 || 648.682 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 756.919 || 813.686 || style="background:#CAFFBF; font-weight:bold;" | 872.378 || 933.129 || style="background:#FFADAD; font-weight:bold;" | 996.09 || 1061.427 || 1129.328 || 0 || 73.681 || 150.637 || 231.174 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 404.442 || style="background:#9BF6FF; font-weight:bold;" | 498.045
| style="background:#9BF6FF; font-weight:bold;" | 498.045 || style="background:#FFC6FF; font-weight:bold;" | 546.815 || 597 || 648.682 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 756.919 || 813.686 || style="background:#CAFFBF; font-weight:bold;" | 872.378 || 933.129 || style="background:#FFADAD; font-weight:bold;" | 996.09 || 1061.427 || 1129.328 || 0 || 73.681 || 150.637 || 231.174 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 404.442 || style="background:#9BF6FF; font-weight:bold;" | 498.045
|-
|-
! 775.636
! 775.636
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|-
|-
! 852.592
! 852.592
| 347.408 || style="background:#FDFFB6; font-weight:bold;" | 396.178 || 446.363 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || 551.318 || 606.282 || 663.049 || style="background:#A0C4FF; font-weight:bold;" | 721.741 || 782.492 || 845.453 || 910.79 || style="background:#FFADAD; font-weight:bold;" | 978.691 || 1049.363 || 1123.044 || 0 || 80.537 || 165.004 || style="background:#FFD6A5; font-weight:bold;" | 253.805 || 347.408
| 347.408 || style="background:#FDFFB6; font-weight:bold;" | 396.178 || 446.363 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || style="background:#FFC6FF; font-weight:bold;" | 551.318 || 606.282 || 663.049 || style="background:#A0C4FF; font-weight:bold;" | 721.741 || 782.492 || 845.453 || 910.79 || style="background:#FFADAD; font-weight:bold;" | 978.691 || 1049.363 || 1123.044 || 0 || 80.537 || 165.004 || style="background:#FFD6A5; font-weight:bold;" | 253.805 || 347.408
|-
|-
! 933.129
! 933.129
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|-
|-
! 1017.596
! 1017.596
| 182.404 || 231.174 || style="background:#FFD6A5; font-weight:bold;" | 281.359 || style="background:#FFD6A5; font-weight:bold;" | 333.041 || style="background:#FDFFB6; font-weight:bold;" | 386.314 || 441.278 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || 556.737 || 617.488 || style="background:#A0C4FF; font-weight:bold;" | 680.449 || 745.786 || 813.687 || style="background:#CAFFBF; font-weight:bold;" | 884.359 || style="background:#FFADAD; font-weight:bold;" | 958.04 || 1034.996 || 1115.533 || 0 || 88.801 || 182.404
| 182.404 || 231.174 || style="background:#FFD6A5; font-weight:bold;" | 281.359 || style="background:#FFD6A5; font-weight:bold;" | 333.041 || style="background:#FDFFB6; font-weight:bold;" | 386.314 || 441.278 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || style="background:#FFC6FF; font-weight:bold;" | 556.737 || 617.488 || style="background:#A0C4FF; font-weight:bold;" | 680.449 || 745.786 || 813.687 || style="background:#CAFFBF; font-weight:bold;" | 884.359 || style="background:#FFADAD; font-weight:bold;" | 958.04 || 1034.996 || 1115.533 || 0 || 88.801 || 182.404
|-
|-
! 1106.397
! 1106.397
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|-
|-
! 1200
! 1200
| 0 || 48.77 || 98.955 || 150.637 || 203.91 || style="background:#FFD6A5; font-weight:bold;" | 258.874 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 374.333 || 435.084 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || 563.382 || 631.283 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 775.636 || 852.592 || 933.129 || 1017.596 || 1106.397 || 0
| 0 || 48.77 || 98.955 || 150.637 || 203.91 || style="background:#FFD6A5; font-weight:bold;" | 258.874 || style="background:#FFD6A5; font-weight:bold;" | 315.641 || style="background:#FDFFB6; font-weight:bold;" | 374.333 || 435.084 || style="background:#9BF6FF; font-weight:bold;" | 498.045 || style="background:#FFC6FF; font-weight:bold;" | 563.382 || 631.283 || style="background:#A0C4FF; font-weight:bold;" | 701.955 || 775.636 || 852.592 || 933.129 || 1017.596 || 1106.397 || 0
|}
|}


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