List of interesting fifths: Difference between revisions

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A list of interesting fifths
 
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661.755708 - Meta-Pelog (Meru #2)
661.755708 - Meta-Pelog (Meru #2)
683.826730 - "Submariner 95" (just 95/64)
683.826730 - "Submariner 95" (just 95/64)
------Meantone spectrum starts here-------
------(Meantone spectrum starts here)
685.714286 - 4\7ed2
685.714286 - 4\7ed2
689.36170 - 27\47ed2
689.36170 - 27\47ed2
690.000000 - 23\40ed2
690.000000 - 23\40ed2
690.909090 - 19\33ed2
690.909090 - 19\33ed2
691.202 - 1/2 comma Meantone (just 10/9 from +2 5ths)
691.202 - 1/2 comma Meantone (just 10/9 from +2 5ths)
691.525424 - 34\59ed2
691.525424 - 34\59ed2
692.307692 - 15\26ed2
692.307692 - 15\26ed2
692.35268c - 1/9-comma flattone (just 7/4 from -9 fifths)
692.35268c - 1/9-comma flattone (just 7/4 from -9 fifths)
692.914594 - just 191/128
692.914594 - just 191/128
692.957747 - 41\71ed2
692.957747 - 41\71ed2
693.31291 - 1/10-comma flattone (just 7/6 from -10 fifths)
693.31291 - 1/10-comma flattone (just 7/6 from -10 fifths)
693.333333 - 26\45ed2
693.333333 - 26\45ed2
693.750000 - 37\64ed2
693.750000 - 37\64ed2
694.736842 - 11\19ed2
694.736842 - 11\19ed2
694.786 - 1/3 comma Meantone (just 6/5 from -3 5ths)
694.786 - 1/3 comma Meantone (just 6/5 from -3 5ths)
695.493 - Lucy tuning
695.493 - Lucy tuning
695.630415 - Meta-Meantone
695.630415 - Meta-Meantone
695.652174 - 40\69ed2
695.652174 - 40\69ed2
695.810 - 2/7 comma (just 25/24)
695.810 - 2/7 comma (just 25/24)
695.838 - Ratwolf fifth (just 13/10)
695.838 - Ratwolf fifth (just 13/10)
695.98 - 5/18 comma Meantone
695.98 - 5/18 comma Meantone
696.000000 - 29\50ed2
696.000000 - 29\50ed2
696.111 - Just 15/14
696.111 - Just 15/14
696.164846 - 7/26 comma Meantone (Woolhouse)
696.164846 - 7/26 comma Meantone (Woolhouse)
696.211 - Meanpop 13-limit
696.211 - Meanpop 13-limit
696.214473954557 - Golden Meantone
696.214473954557 - Golden Meantone
696.296296 - 47\81ed2
696.296296 - 47\81ed2
696.319 - Just 7/6
696.319 - Just 7/6
696.434 - Meanpop 11-limit
696.434 - Meanpop 11-limit
696.495 - Meantone 7-limit
696.495 - Meantone 7-limit
696.578 - 1/4 comma Meantone (just 5/4 from +4 5ths)
696.578 - 1/4 comma Meantone (just 5/4 from +4 5ths)
696.774194 - 18\31ed2
696.774194 - 18\31ed2
696.883 - Just 8/7
696.883 - Just 8/7
696.9255084 - 11th root of (Pi squared/2)*64
 
696.967 - "Undecimal" Meantone 11-limit
696.967 - "Undecimal" Meantone 11-limit
697.085 - Just 7/5 from +6 fifths
697.085 - Just 7/5 from +6 fifths
697.175825 - 2/9 comma Meantone
697.175825 - 2/9 comma Meantone
697.297297 - 43\74ed2
697.297297 - 43\74ed2
697.344 - Just 21/16 from +11 5ths
697.344 - Just 21/16 from +11 5ths
697.346510 - 3/14 comma Meantone
697.346510 - 3/14 comma Meantone
697.440698 - just 383/256  
697.440698 - just 383/256  
697.467021 - Meantone with pure 13/8 (-16 5ths)
697.467021 - Meantone with pure 13/8 (-16 5ths)
697.654 - 1/5 comma Meantone (pure 16/15 from -5 5ths)
697.654 - 1/5 comma Meantone (pure 16/15 from -5 5ths)
697.674419 - 25\43ed2
697.674419 - 25\43ed2
698.181818 - 32\55ed2
698.181818 - 32\55ed2
698.371 - 1/6 comma Meantone (just 45/32 from +6 5ths)
698.371 - 1/6 comma Meantone (just 45/32 from +6 5ths)
700.000000 - 07\12ed2
 
700.000000 - 7\12ed2
 
700.6203 - 12&41 2.3.17
700.6203 - 12&41 2.3.17
700.7933 - 12&65 2.3.17.19
700.7933 - 12&65 2.3.17.19
701.3498 - 12&53 2.3.19
701.3498 - 12&53 2.3.19
701.675898 - Just 15/8 from -7 5ths
701.675898 - Just 15/8 from -7 5ths
701.727824 - Meta-Helmholtz
701.727824 - Meta-Helmholtz
701.737921 - Schismic, Garibaldi
701.737921 - Schismic, Garibaldi
701.886792 - 31\53ed2
701.886792 - 31\53ed2
701.955 - Pythagorean  
701.955 - Pythagorean  
702.0852 - Garibaldi 7-limit POTE
702.0852 - Garibaldi 7-limit POTE
702.127659 - 55\94ed2
702.127659 - 55\94ed2
702.439024 - 24\41ed2
702.439024 - 24\41ed2
702.857143 - 41\70ed2
702.857143 - 41\70ed2
703.448276 - 17\29ed2
703.448276 - 17\29ed2
703.499577 (just 11/10 from -10 5ths)
 
703.57869 George Secor's High Tolerance Temperament (HTT)  
703.499577 - (just 11/10 from -10 5ths)
703.596760 (just 13/11 from -3 5ths)
 
703.710938 Milder Extended Temperament (MET) (spacing 57.422)
703.57869 - George Secor's High Tolerance Temperament (HTT)  
703.856   Parapyth POTE (spacing 58.339)
 
703.596760 - (just 13/11 from -3 5ths)
 
703.710938 - Milder Extended Temperament (MET) (spacing 57.422)
 
703.856 - Parapyth POTE (spacing 58.339)
 
703.908722 - Wide Schismatic Fifth for Parapyth
703.908722 - Wide Schismatic Fifth for Parapyth
704.000000 - 44\75ed2
704.000000 - 44\75ed2
704.042606 Gene Ward Smith Cantonpenta (with just 14/13 from +7 5ths)  
 
704.059041 Gene Ward Smith Cantonpenta (159\271-ed2)
704.042606 - Gene Ward Smith Cantonpenta (with just 14/13 from +7 5ths)  
704.095607 (Wilson/Pepper Noble 5th; Peppermint)
 
704.136287 Acoustic Phi after 8 generators
704.059041 - Gene Ward Smith Cantonpenta (159\271-ed2)
704.166667 (169\288ed2, Scott Dakota Polypyth)
 
704.095607 - (Wilson/Pepper Noble 5th; Peppermint)
 
704.136287 - Acoustic Phi after 8 generators
 
704.166667 - (169\288ed2, Scott Dakota Polypyth)
 
704.347826 - 27\46ed2
704.347826 - 27\46ed2
704.376991 (just 14/11 major 3rd)  
704.376991 (just 14/11 major 3rd)  
704.588394 (just 7/4 from +15 5ths)  
704.588394 (just 7/4 from +15 5ths)  
704.60691 (e-based, Blackwood's R=e)  
704.60691 (e-based, Blackwood's R=e)  
704.665267 (just 11/8 from +11 5ths)
704.665267 (just 11/8 from +11 5ths)
704.712391 (just 23/16 from +6 5ths)
704.712391 (just 23/16 from +6 5ths)
704.720296 (just 39/32 from +9 5ths)
704.720296 (just 39/32 from +9 5ths)
704.761905 - 37\63ed2
704.761905 - 37\63ed2
704.776493 (just 7/6 from +14 5ths)
704.776493 (just 7/6 from +14 5ths)
704.993531 (just 9/7 from -13 5ths)
704.993531 (just 9/7 from -13 5ths)
705.000000 - 47\80-ed2)
705.000000 - 47\80-ed2)
705.065958 (just 13/8 from +8 5ths)
705.065958 (just 13/8 from +8 5ths)
705.882353 - 10\17ed2
705.882353 - 10\17ed2
706.457563 - just 385/256
706.457563 - just 385/256
707.142857 - 33\56ed2
707.142857 - 33\56ed2
707.692308 - 23\39ed2
707.692308 - 23\39ed2
708.053859 - Golden Horagram #25
708.053859 - Golden Horagram #25
708.196721 - 36\61ed2
708.196721 - 36\61ed2
708.4021 - Archagall POTE. 2.75.85 subgroup
708.4021 - Archagall POTE. 2.75.85 subgroup
708.704460 - Chagall target (just 771/512)
708.704460 - Chagall target (just 771/512)
708.730877 - Chagall target (just 128/85)  
708.730877 - Chagall target (just 128/85)  
708.771024 - Archy 3.7.9
708.771024 - Archy 3.7.9
708.826871 - Superpyth 5-limit  
708.826871 - Superpyth 5-limit  
709.090909 - 13\22ed2
709.090909 - 13\22ed2
709.111716 - Meta-Superpyth
709.111716 - Meta-Superpyth
709.982019 - Suprapyth 11-limit
709.982019 - Suprapyth 11-limit
710.136351 - Meta-Superpyth
710.136351 - Meta-Superpyth
710.138446 - Superpyth 13-limit
710.138446 - Superpyth 13-limit
710.204082 - 29\49ed2
710.204082 - 29\49ed2
710.434501 - Golden Superpyth
710.434501 - Golden Superpyth
710.680710 - Superpyth 7-limit
710.680710 - Superpyth 7-limit
710.948445 - just 193/128
710.948445 - just 193/128
711.043031 - Archy
711.043031 - Archy
711.111111 - 16\27ed2  
711.111111 - 16\27ed2  
712.500000 - 19\32ed2
712.500000 - 19\32ed2
713.177722 - Meta-Slendro (Meru #3)
713.177722 - Meta-Slendro (Meru #3)
713.513514 - 22/37ed3
713.513514 - 22/37ed3
713.553 - 1/4-comma Ultrapyth (just 13:10)
713.553 - 1/4-comma Ultrapyth (just 13:10)
714.285714 - 25\42ed2
714.285714 - 25\42ed2
714.89362 - 28\47ed2
714.89362 - 28\47ed2
715.427707 - just 387/256  
715.427707 - just 387/256  
717.420 - 1/3-comma Ultrapyth (just 15:13)
717.420 - 1/3-comma Ultrapyth (just 15:13)
719.895411 - just 97/64
719.895411 - just 97/64
720.000000 - 3\5ed2
720.000000 - 3\5ed2
------Meantone spectrum ends here-------
------(Meantone spectrum ends here)

Revision as of 17:26, 22 September 2018

661.755708 - Meta-Pelog (Meru #2)

683.826730 - "Submariner 95" (just 95/64)

(Meantone spectrum starts here)

685.714286 - 4\7ed2

689.36170 - 27\47ed2

690.000000 - 23\40ed2

690.909090 - 19\33ed2

691.202 - 1/2 comma Meantone (just 10/9 from +2 5ths)

691.525424 - 34\59ed2

692.307692 - 15\26ed2

692.35268c - 1/9-comma flattone (just 7/4 from -9 fifths)

692.914594 - just 191/128

692.957747 - 41\71ed2

693.31291 - 1/10-comma flattone (just 7/6 from -10 fifths)

693.333333 - 26\45ed2

693.750000 - 37\64ed2

694.736842 - 11\19ed2

694.786 - 1/3 comma Meantone (just 6/5 from -3 5ths)

695.493 - Lucy tuning

695.630415 - Meta-Meantone

695.652174 - 40\69ed2

695.810 - 2/7 comma (just 25/24)

695.838 - Ratwolf fifth (just 13/10)

695.98 - 5/18 comma Meantone

696.000000 - 29\50ed2

696.111 - Just 15/14

696.164846 - 7/26 comma Meantone (Woolhouse)

696.211 - Meanpop 13-limit

696.214473954557 - Golden Meantone

696.296296 - 47\81ed2

696.319 - Just 7/6

696.434 - Meanpop 11-limit

696.495 - Meantone 7-limit

696.578 - 1/4 comma Meantone (just 5/4 from +4 5ths)

696.774194 - 18\31ed2

696.883 - Just 8/7

696.967 - "Undecimal" Meantone 11-limit

697.085 - Just 7/5 from +6 fifths

697.175825 - 2/9 comma Meantone

697.297297 - 43\74ed2

697.344 - Just 21/16 from +11 5ths

697.346510 - 3/14 comma Meantone

697.440698 - just 383/256

697.467021 - Meantone with pure 13/8 (-16 5ths)

697.654 - 1/5 comma Meantone (pure 16/15 from -5 5ths)

697.674419 - 25\43ed2

698.181818 - 32\55ed2

698.371 - 1/6 comma Meantone (just 45/32 from +6 5ths)

700.000000 - 7\12ed2

700.6203 - 12&41 2.3.17

700.7933 - 12&65 2.3.17.19

701.3498 - 12&53 2.3.19

701.675898 - Just 15/8 from -7 5ths

701.727824 - Meta-Helmholtz

701.737921 - Schismic, Garibaldi

701.886792 - 31\53ed2

701.955 - Pythagorean

702.0852 - Garibaldi 7-limit POTE

702.127659 - 55\94ed2

702.439024 - 24\41ed2

702.857143 - 41\70ed2

703.448276 - 17\29ed2

703.499577 - (just 11/10 from -10 5ths)

703.57869 - George Secor's High Tolerance Temperament (HTT)

703.596760 - (just 13/11 from -3 5ths)

703.710938 - Milder Extended Temperament (MET) (spacing 57.422)

703.856 - Parapyth POTE (spacing 58.339)

703.908722 - Wide Schismatic Fifth for Parapyth

704.000000 - 44\75ed2

704.042606 - Gene Ward Smith Cantonpenta (with just 14/13 from +7 5ths)

704.059041 - Gene Ward Smith Cantonpenta (159\271-ed2)

704.095607 - (Wilson/Pepper Noble 5th; Peppermint)

704.136287 - Acoustic Phi after 8 generators

704.166667 - (169\288ed2, Scott Dakota Polypyth)

704.347826 - 27\46ed2

704.376991 (just 14/11 major 3rd)

704.588394 (just 7/4 from +15 5ths)

704.60691 (e-based, Blackwood's R=e)

704.665267 (just 11/8 from +11 5ths)

704.712391 (just 23/16 from +6 5ths)

704.720296 (just 39/32 from +9 5ths)

704.761905 - 37\63ed2

704.776493 (just 7/6 from +14 5ths)

704.993531 (just 9/7 from -13 5ths)

705.000000 - 47\80-ed2)

705.065958 (just 13/8 from +8 5ths)

705.882353 - 10\17ed2

706.457563 - just 385/256

707.142857 - 33\56ed2

707.692308 - 23\39ed2

708.053859 - Golden Horagram #25

708.196721 - 36\61ed2

708.4021 - Archagall POTE. 2.75.85 subgroup

708.704460 - Chagall target (just 771/512)

708.730877 - Chagall target (just 128/85)

708.771024 - Archy 3.7.9

708.826871 - Superpyth 5-limit

709.090909 - 13\22ed2

709.111716 - Meta-Superpyth

709.982019 - Suprapyth 11-limit

710.136351 - Meta-Superpyth

710.138446 - Superpyth 13-limit

710.204082 - 29\49ed2

710.434501 - Golden Superpyth

710.680710 - Superpyth 7-limit

710.948445 - just 193/128

711.043031 - Archy

711.111111 - 16\27ed2

712.500000 - 19\32ed2

713.177722 - Meta-Slendro (Meru #3)

713.513514 - 22/37ed3

713.553 - 1/4-comma Ultrapyth (just 13:10)

714.285714 - 25\42ed2

714.89362 - 28\47ed2

715.427707 - just 387/256

717.420 - 1/3-comma Ultrapyth (just 15:13)

719.895411 - just 97/64

720.000000 - 3\5ed2

(Meantone spectrum ends here)

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