Table:
text: 72 equal temperament
Interval size
Interval size
interval_name size_steps size_cents midi_3 just_ratio just_cents midi_6 error_
perfect fifth 42 700 play (help·info) 3:2 701.96 play (help·info) −1.96
septendecimal tritone 36 600  17:12 603.00  −3.00
septimal tritone 35 583.33 play (help·info) 7:5 582.51 play (help·info) +0.82
tridecimal tritone 34 566.67 play (help·info) 18:13 563.38  +3.28
11th harmonic 33 550 play (help·info) 11:8 551.32 play (help·info) −1.32
(15:11) augmented fourth 32 533.33 play (help·info) 15:11 536.95  −3.62
perfect fourth 30 500 play (help·info) 4:3 498.04 play (help·info) +1.96
septimal narrow fourth 28 466.66 play (help·info) 21:16 470.78 play (help·info) −4.11
17:13 narrow fourth 28 466.66 play (help·info) 17:13 464.43  +2.24

Question: What is each interval name with size -lrb- cents -rrb- greater than 500 among 72 equal temperaments?

Question: How many intervals had more than 30 degrees of 72 equal temperaments?

Question: Given 72 equal temperaments, what is the highest -lrb- cents -rrb- for an interval of size -lrb- cents -rrb- less than 500 ?