Phoenix: Difference between revisions

| | Interval

| | Width in steps

| | 16ed9:5 width cents (min)

| | 11edf width cents (max)

| | Chromatic semitone

| | 1

| | 28:27, 25:24, 33:32

|-

| | Diatonic semitone

| | 2

| | 15:14, 16:15

|-

| | Whole tone

| | 3

| | 10:9, 9:8, 8:7(''functional'')

|-

| | Subminor third

| | 4

| | 7:6, 8:7

|-

| | Minor third

| | 5

| | 6:5

|-

| | Major third

| | 6

| | 5:4

|-

| | Supermajor third

| | 7

| | 9:7

|-

| | Perfect fourth

| | 8

| | 4:3

|-

| | Augmented fourth

| | 9

| | 7:5

|-

| | Diminished fifth

| | 10

| |  

|-

| | Perfect fifth

| | 11

| | 701.955

| | 3:2

| | Subminor sixth

| | 12

| | 14:9

|-

| | Minor sixth

| | 13

| | 8:5

|-

| | Major sixth

| | 14

| | 5:3

|-

| | Subminor seventh

| | 15

| | 7:4

|-

| | Minor seventh

| | 16

| | 9:5

|-

| | Major seventh

| | 17

| | 15:8

|-

| | Diminished octave, blue octave

| | 18

| | 11:6

|-

| | Octave (stretched)

| | 19

| | 2:1

|-

| | Chromatic minor ninth

| | 20

| |  

|-

| | Diatonic minor ninth

| | 21

| | 13:6

|-

| | Major ninth

| | 22

| | 1403.910

| | 9:4

| | Subminor tenth

| | 23

| | 7:3

|-

| | Minor tenth

| | 24

| | 17:7, 12:5

|-

| | Major tenth

| | 25

| | 5:2, 19:8

|-

| | Minor eleventh

| | 26

| | 13:5

|-

| | Perfect eleventh

| | 27

| | 8:3

|-

| | Augmented eleventh, diminished twelfth

| | 28

| | 14:15

|-

| | Minor twelfth

| | 29

| |  

|-

| | Perfect twelfth, tritave, 3rd harmonic

| | 30

| | 3:1

|-

| | 31

| |  

|-

| | Neutral thirteenth

| | 32

| | 13:4

|-

| | Major thirteenth

| | 33

| | 2105.865

| | 10:3, 27:8

| | Subminor fourteenth

| | 34

| | 7:2

|-

| | Minor fourteenth

| | 35

| | 18:5, 11:3

|-

| | Major fourteenth

| | 36

| | 15:4

|-

| | Double octave, fifteenth (flat)

| | 37

| |  

|-

| | Double octave, fifteenth (sharp)

| | 38

| | 4:1

|-

| | Minor sixteenth

| | 39

| | 19:9

|-

| | Neutral sixteenth

| | 40

| | 13:4

|-

| | Major sixteenth

| | 41

| | 9:2

|-

| | Minor seventeenth

| | 42

| | 14:3

|-

| | Neutral seventeenth

| | 43

| |  

|-

| | Major seventeenth; fifth harmonic

| | 44

| | 2807.82

| | 5:1

| | Minor eighteenth

| | 45

| | 21:4

|-

| | Major eighteenth

| | 46

| | 11:2 (flat)

|-

| | Augmented eighteenth; diminished nineteenth

| | 47

| | 11:2 (sharp)

|-

| | Minor nineteenth

| | 48

| |  

|-

| | Perfect nineteenth, sixth harmonic

| | 49

| | 6:1

|-

| | Minor twentieth

| | 50

| | 19:3

|-

| | Neutral twentieth

| | 51

| | 13:2

|-

| | Major twentieth

| | 52

| | 27:4

|-

| | (Sub)minor twenty-first; 7th harmonic

| | 53

| | 7:1

|-

| | Minor/neutral twenty-first

| | 54

| | 22:3

|-

| | Major twenty-first

| | 55

| | 3509.775

| | 15:2

| | Twenty-second, triple octave, 8th harmonic (flat)

| | 56

| | 8:1 (flat)

|-

| | Twenty-second, triple octave, 8th harmonic (sharp)

| | 57

| | 8:1 (sharp)

|-

| | Minor twenty-third

| | 58

| | 17:2

|-

| | Neutral twenty-third

| | 59

| |  

|-

| | Major twenty-third; 9th harmonic

| | 60

| | 9:1

|-

| | Minor twenty-fourth

| | 61

| | 19:2

|-

| | Neutral twenty-fourth

| | 62

| | 29:3

|-

| | Major twenty-fourth, decade

| | 63

| | 10:1 (sharp), 31:3 (flat)

|-

| | Twenty-fifth

| | 64

| | 21:2

|-

| | Half-augmented twenty-fifth; 11th harmonic

| | 65

| | 11:1

|-

| | Diminished twenty-sixth

| | 66

| | 4211.730

| | 34:3

| | Minor twenty-sixth

| | 67

| | 12:1 (flat)

|-

| | Major twenty-sixth

| | 68

| | 12:1 (sharp)

|-

| | Minor twenty-seventh

| | 69

|-

| | Neutral twenty-seventh, thirteenth harmonic

| | 70

| | 13:1

|-

| | Major twenty-seventh

| | 71

| | 27:2

|-

| | Minor twenty-eighth, 14th harmonic

| | 72

| | 14:1

|-

| | Neutral twenty-eighth

| | 73

| | 15:1 (flat)

|-

| | Major twenty-eighth

| | 74

| | 15:1 (sharp)

|-

| | Twenty-ninth; quadruple octave, 16th harmonic

| | 75

| | 16:1

|-

| | Half-augmented twenty-ninth

| | 76

| | 33:2

|-

| | Minor thirtieth, 17th harmonic

| | 77

| | 4913.685

| | 17:1

| | Chromatic major thirtieth

| | 78

| | 35:2

|-

| | Diatonic major thirtieth

| | 79

| | 37:2

|-

| | Minor thirty-first, 19th harmonic

| | 80

| | 19:1

|-

| | Neutral thirty-first

| | 81

| |  

|-

| | Major thirty-first

| | 82

| | 41:2

|-

| | Thirty-second, 21st harmonic

| | 83

| | 21:1

|-

| | Half-augmented thirty-second, 22nd harmonic

| | 84

| | 22:1

|-

| | 23rd harmonic

| | 85

| | 23:1

|-

| | Thirty-third

| | 86

| | 24:1, 47:2 *

|-

| | Half-augmented thirty-third

| | 87

| | 49:2

|-

| | Minor thirty-fourth

| | 88

| | 5615.640

| | 51:2

| | Major thirty-fourth

| | 89

| | 53:2

|-

| | Supermajor thirty-fourth

| | 90

| | 55:2

|-

| | Minor thirty-fifth

| | 91

| | 57:2

|-

| | Neutral/major thirty-fifth

| | 92

| |  

|-

| | 31st harmonic

| | 93

| | 31:1 (wide-end only)

|-

| | 94

| | 32:1

|-

| | 33rd harmonic

| | 95

| | 33:1

|-

| | 34th harmonic

| | 96

| | 34:1 (narrow-end only)

|}

Harmonics beyond the 34th are not matched well.