List of interesting fifths: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
Jimble (talk | contribs)
12 edits
A list of interesting fifths
 
Overthink (talk | contribs)
autopatrolled
2,695 edits
m Changed pythagorean to redirect to "Pythagorean tuning" and not the disambiguation page
 
(16 intermediate revisions by 8 users not shown)
Line 1: Line 1:
661.755708 - Meta-Pelog (Meru #2)
654.545455 - 6\11edo
683.826730 - "Submariner 95" (just 95/64)
 
------Meantone spectrum starts here-------
661.755708 - [[Meta-Pelog]] ([[Meru]] #2)
685.714286 - 4\7ed2
 
689.36170 - 27\47ed2
666.666667 - 5\9edo
690.000000 - 23\40ed2
 
690.909090 - 19\33ed2
675.000000 - 9\16edo
691.202 - 1/2 comma Meantone (just 10/9 from +2 5ths)
 
691.525424 - 34\59ed2
676.6628465 - [[Meta-Mavila]]
692.307692 - 15\26ed2
 
692.35268c - 1/9-comma flattone (just 7/4 from -9 fifths)
678.260870 - 13\23edo
692.914594 - just 191/128
 
692.957747 - 41\71ed2
683.826730 - "[[Submariner 95]]" (just [[95/64]])
 
------
([[Diatonic range]] starts here)
 
685.714286 - 4\7edo
 
689.36170 - 27\47edo
 
690.000000 - 23\40edo
 
690.909090 - 19\33edo
 
691.202 - [[1/2-comma meantone]] (just 10/9 from +2 5ths)
 
691.525424 - 34\59edo
 
692.307692 - 15\26edo
 
692.35268c - 1/9-comma [[flattone]] (just 7/4 from -9 fifths)
 
692.914594 - just [[191/128]]
 
692.957747 - 41\71edo
 
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
 
693.750000 - 37\64ed2
693.333333 - 26\45edo
694.736842 - 11\19ed2
 
694.786 - 1/3 comma Meantone (just 6/5 from -3 5ths)
693.750000 - 37\64edo
695.493 - Lucy tuning
 
695.630415 - Meta-Meantone
694.736842 - 11\19edo
695.652174 - 40\69ed2
 
695.810 - 2/7 comma (just 25/24)
694.786 - [[1/3-comma meantone]] (just 6/5 from -3 5ths)
695.838 - Ratwolf fifth (just 13/10)
 
695.98 - 5/18 comma Meantone
695.493 - [[Lucy Tuning]]
696.000000 - 29\50ed2
 
695.630415 - [[Meta-Meantone]]
 
695.652174 - 40\69edo
 
695.810 - [[2/7-comma meantone]] (just 25/24)
 
695.838 - [[Ratwolf]] fifth (just 13/10)
 
695.98 - [[5/18-comma meantone]]
 
696.000000 - 29\50edo
 
696.111 - Just 15/14
696.111 - Just 15/14
696.164846 - 7/26 comma Meantone (Woolhouse)
 
696.211 - Meanpop 13-limit
696.164846 - [[7/26-comma meantone]] ([[Woolhouse]])
696.214473954557 - Golden Meantone
 
696.296296 - 47\81ed2
696.211 - [[Meanpop]] 13-limit
 
696.214473954557 - [[Golden Meantone]]
 
696.296296 - 47\81edo
 
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)
 
696.774194 - 18\31ed2
696.578 - [[Quarter-comma meantone|1/4-comma meantone]] (just 5/4 from +4 5ths)
 
696.774194 - 18\31edo
 
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
 
697.297297 - 43\74ed2
697.175825 - [[2/9-comma meantone]]
 
697.297297 - 43\74edo
 
697.344 - Just 21/16 from +11 5ths
697.344 - Just 21/16 from +11 5ths
697.346510 - 3/14 comma Meantone
 
697.440698 - just 383/256  
697.346510 - [[3/14-comma meantone]]
 
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)
 
697.674419 - 25\43ed2
697.654 - [[1/5-comma meantone]] (pure 16/15 from -5 5ths)
698.181818 - 32\55ed2
 
698.371 - 1/6 comma Meantone (just 45/32 from +6 5ths)
697.674419 - 25\43edo
700.000000 - 07\12ed2
 
698.181818 - 32\55edo
 
698.371 - [[1/6-comma meantone]] (just 45/32 from +6 5ths)
 
700.000000 - 7\12edo
 
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
 
701.737921 - Schismic, Garibaldi
701.727824 - [[Meta-Helmholtz]]
701.886792 - 31\53ed2
 
701.955 - Pythagorean  
701.737921 - [[Schismic]], [[Garibaldi]]
702.0852 - Garibaldi 7-limit POTE
 
702.127659 - 55\94ed2
701.886792 - 31\53edo
702.439024 - 24\41ed2
 
702.857143 - 41\70ed2
701.955 - [[Pythagorean tuning|Pythagorean]]
703.448276 - 17\29ed2
 
703.499577 (just 11/10 from -10 5ths)
702.0852 - Garibaldi 7-limit [[POTE]]
703.57869 George Secor's High Tolerance Temperament (HTT)  
 
703.596760 (just 13/11 from -3 5ths)
702.127659 - 55\94edo
703.710938 Milder Extended Temperament (MET) (spacing 57.422)
 
703.856   Parapyth POTE (spacing 58.339)
702.439024 - 24\41edo
 
702.857143 - 41\70edo
 
703.448276 - 17\29edo
 
703.499577 - (just 11/10 from -10 5ths)
 
703.57869 - [[Secor29htt|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
703.908722 - Wide Schismatic Fifth for Parapyth
704.000000 - 44\75ed2
 
704.042606 Gene Ward Smith Cantonpenta (with just 14/13 from +7 5ths)  
704.000000 - 44\75edo
704.059041 Gene Ward Smith Cantonpenta (159\271-ed2)
 
704.095607 (Wilson/Pepper Noble 5th; Peppermint)
704.042606 - [[Gene Ward Smith]] [[Cantonpenta]] (with just 14/13 from +7 5ths)  
704.136287 Acoustic Phi after 8 generators
 
704.166667 (169\288ed2, Scott Dakota Polypyth)
704.059041 - Gene Ward Smith Cantonpenta (159\271-edo)
704.347826 - 27\46ed2
 
704.095607 - (Wilson/Pepper Noble 5th; [[Peppermint]])
 
704.136287 - [[Acoustic phi]] after 8 [[generator]]s
 
704.166667 - (169\288edo, [[Scott Dakota]] [[Polypyth]])
 
704.347826 - 27\46edo
 
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, [[Easley Blackwood|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\63edo
 
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-edo)
 
705.065958 (just 13/8 from +8 5ths)
705.065958 (just 13/8 from +8 5ths)
705.882353 - 10\17ed2
 
706.457563 - just 385/256
705.882353 - 10\17edo
707.142857 - 33\56ed2
 
707.692308 - 23\39ed2
706.457563 - just [[385/256]]
708.053859 - Golden Horagram #25
 
708.196721 - 36\61ed2
707.142857 - 33\56edo
708.4021 - Archagall POTE. 2.75.85 subgroup
 
708.704460 - Chagall target (just 771/512)
707.692308 - 23\39edo
 
708.053859 - [[Golden Horagram]] #25
 
708.196721 - 36\61edo
 
708.4021 - [[Archagall]] POTE. 2.75.85 subgroup
 
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
 
708.826871 - Superpyth 5-limit  
708.771024 - [[Archy]] 3.7.9
709.090909 - 13\22ed2
 
709.111716 - Meta-Superpyth
708.826871 - [[Superpyth]] 5-limit  
709.982019 - Suprapyth 11-limit
 
710.136351 - Meta-Superpyth
709.090909 - 13\22edo
 
709.111716 - [[Meta-Superpyth]] (4:5:6 proportional beating)
 
709.982019 - [[Suprapyth]] 11-limit
 
710.136351 - Meta-Superpyth (4:5:6 equal beating)
 
710.138446 - Superpyth 13-limit
710.138446 - Superpyth 13-limit
710.204082 - 29\49ed2
 
710.434501 - Golden Superpyth
710.204082 - 29\49edo
 
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
 
712.500000 - 19\32ed2
711.111111 - 16\27edo
713.177722 - Meta-Slendro (Meru #3)
 
712.500000 - 19\32edo
 
713.177722 - [[Meta-Slendro]] (Meru #3)
 
713.513514 - 22/37ed3
713.513514 - 22/37ed3
713.553 - 1/4-comma Ultrapyth (just 13:10)
 
714.285714 - 25\42ed2
713.553 - 1/4-comma [[Ultrapyth]] (just 13:10)
714.89362 - 28\47ed2
 
715.427707 - just 387/256  
714.285714 - 25\42edo
 
714.89362 - 28\47edo
 
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
 
720.000000 - 3\5ed2
719.895411 - just [[97/64]]
------Meantone spectrum ends here-------
 
720.000000 - 3\5edo
 
([[Diatonic range]] ends here)
------
733.333333 - 11\18edo
 
738.461538 - 8\13edo
 
750.000000 - 5\8edo
 
[[Category:Lists of intervals]]
[[Category:Fifth]]
[[Category:Perfect fifth]]

Latest revision as of 06:39, 15 September 2025

654.545455 - 6\11edo

661.755708 - Meta-Pelog (Meru #2)

666.666667 - 5\9edo

675.000000 - 9\16edo

676.6628465 - Meta-Mavila

678.260870 - 13\23edo

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

(Diatonic range starts here)

685.714286 - 4\7edo

689.36170 - 27\47edo

690.000000 - 23\40edo

690.909090 - 19\33edo

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

691.525424 - 34\59edo

692.307692 - 15\26edo

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

692.914594 - just 191/128

692.957747 - 41\71edo

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

693.333333 - 26\45edo

693.750000 - 37\64edo

694.736842 - 11\19edo

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

695.493 - Lucy Tuning

695.630415 - Meta-Meantone

695.652174 - 40\69edo

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

695.838 - Ratwolf fifth (just 13/10)

695.98 - 5/18-comma meantone

696.000000 - 29\50edo

696.111 - Just 15/14

696.164846 - 7/26-comma meantone (Woolhouse)

696.211 - Meanpop 13-limit

696.214473954557 - Golden Meantone

696.296296 - 47\81edo

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\31edo

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\74edo

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\43edo

698.181818 - 32\55edo

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

700.000000 - 7\12edo

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\53edo

701.955 - Pythagorean

702.0852 - Garibaldi 7-limit POTE

702.127659 - 55\94edo

702.439024 - 24\41edo

702.857143 - 41\70edo

703.448276 - 17\29edo

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\75edo

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

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

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

704.136287 - Acoustic phi after 8 generators

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

704.347826 - 27\46edo

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\63edo

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

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

705.000000 - 47\80-edo)

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

705.882353 - 10\17edo

706.457563 - just 385/256

707.142857 - 33\56edo

707.692308 - 23\39edo

708.053859 - Golden Horagram #25

708.196721 - 36\61edo

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\22edo

709.111716 - Meta-Superpyth (4:5:6 proportional beating)

709.982019 - Suprapyth 11-limit

710.136351 - Meta-Superpyth (4:5:6 equal beating)

710.138446 - Superpyth 13-limit

710.204082 - 29\49edo

710.434501 - Golden Superpyth

710.680710 - Superpyth 7-limit

710.948445 - just 193/128

711.043031 - Archy

711.111111 - 16\27edo

712.500000 - 19\32edo

713.177722 - Meta-Slendro (Meru #3)

713.513514 - 22/37ed3

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

714.285714 - 25\42edo

714.89362 - 28\47edo

715.427707 - just 387/256

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

719.895411 - just 97/64

720.000000 - 3\5edo

(Diatonic range ends here)

733.333333 - 11\18edo

738.461538 - 8\13edo

750.000000 - 5\8edo

Retrieved from "https://en.xen.wiki/index.php?title=List_of_interesting_fifths&oldid=209943"