List of interesting fifths
661.755708 - Meta-Pelog (Meru #2)
666.666667 - 5\9ed2
676.6628465 - Meta-Mavila
683.826730 - "Submariner 95" (just 95/64)
(Diatonic range 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 meantone (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 (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\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
(Diatonic range ends here)