Editing Bohlen–Pierce scale (section)

==Just tuning==
A diatonic Bohlen–Pierce scale may be constructed with the following just ratios (chart shows the "Lambda" (λ) scale):

{| class="wikitable" style="text-align:center"
 ! rowspan="5" | Note
 ! Name
 | colspan="2" | '''C'''
 | colspan="2" | '''D'''
 | colspan="2" | '''E'''
 | colspan="2" | '''F'''
 | colspan="2" | '''G'''
 | colspan="2" | '''H'''
 | colspan="2" | '''J'''
 | colspan="2" | '''A'''
 | colspan="2" | '''B'''
 | colspan="2" | '''C'''
 |-
 ! [[Degree (music)|Degree]]
 | colspan="2" | {{music|scale|1}}
 | colspan="2" | {{music|scale|2}}
 | colspan="2" | {{music|scale|3}}
 | colspan="2" | {{music|scale|4}}
 | colspan="2" | {{music|scale|5}}
 | colspan="2" | {{music|scale|6}}
 | colspan="2" | {{music|scale|7}}
 | colspan="2" | {{music|scale|8}}
 | colspan="2" | {{music|scale|9}}
 | colspan="2" | {{music|scale|1}}
 |-
 ! Ratio
 | colspan="2" | 1:1
 | colspan="2" | [[minor third|25:21]]
 | colspan="2" | [[Septimal major third|9:7]]
 | colspan="2" | [[Septimal tritone|7:5]]
 | colspan="2" | [[Major sixth|5:3]]
 | colspan="2" | [[Minor seventh|9:5]]
 | colspan="2" | [[Septimal diatonic semitone|15:7]]
 | colspan="2" | [[Septimal minor third|7:3]]
 | colspan="2" | [[Just chromatic semitone|25:9]]
 | colspan="2" | [[Tritave|3:1]]
 |-
 ! [[Cent (music)|Cents]]
 | colspan="2" | 0
 | colspan="2" | 301.85
 | colspan="2" | 435.08
 | colspan="2" | 582.51
 | colspan="2" | 884.36
 | colspan="2" | 1017.60
 | colspan="2" | 1319.44
 | colspan="2" | 1466.87
 | colspan="2" | 1768.72
 | colspan="2" | 1901.96
 |-
 ! Midi
 | colspan="2" | {{Audio|BP Just C.ogg|C|help=no}}
 | colspan="2" | {{Audio|BP Just D.ogg|D|help=no}}
 | colspan="2" | {{Audio|BP Just E.ogg|E|help=no}}
 | colspan="2" | {{Audio|BP Just F.ogg|F|help=no}}
 | colspan="2" | {{Audio|BP Just G.ogg|G|help=no}}
 | colspan="2" | {{Audio|BP Just H.ogg|H|help=no}}
 | colspan="2" | {{Audio|BP Just J.ogg|J|help=no}}
 | colspan="2" | {{Audio|BP Just A.ogg|A|help=no}}
 | colspan="2" | {{Audio|BP Just B.ogg|B|help=no}}
 | colspan="2" | {{Audio|BP Just High C.ogg|C|help=no}}
 |-
 ! rowspan="3" | Step
 ! Name
 |
 | colspan="2" | T
 | colspan="2" | s
 | colspan="2" | S
 | colspan="2" | T
 | colspan="2" | s
 | colspan="2" | T
 | colspan="2" | S
 | colspan="2" | T
 | colspan="2" | s
 |
 |-
 ! Ratio
 |
 | colspan="2" | 25:21
 | colspan="2" | 27:25
 | colspan="2" | 49:45
 | colspan="2" | 25:21
 | colspan="2" | 27:25
 | colspan="2" | 25:21
 | colspan="2" | 49:45
 | colspan="2" | 25:21
 | colspan="2" | 27:25
 |
 |-
 ! Cents
 |
 | colspan="2" | 301.85
 | colspan="2" | [[Just minor second|133.24]]
 | colspan="2" | 147.43
 | colspan="2" | 301.85
 | colspan="2" | 133.24
 | colspan="2" | 301.85
 | colspan="2" | 147.43
 | colspan="2" | 301.85
 | colspan="2" | 133.24
 |
 |}

{{Audio|BP Just Lambda Scale.ogg|play just Bohlen–Pierce "Lambda" scale}}
{{Audio|JI diatonic scale.ogg|contrast with just major diatonic scale}}

A just BP scale may be constructed from four overlapping 3:5:7 chords, for example, V, II, VI, and IV, though different chords may be chosen to produce a similar scale:<ref name="Current Directions, p.170">Mathews; Pierce (1989). p. 170.</ref>
 (5:3)(7:5)
 V  IX  III
         |
        III VII I
                |
             VI I IV
                  |
                  IV VIII II