Skip to Main Content
Table 1.

Bohlen-Pierce Dyads: Defining Features and Consonance Ratings

Scale DegreeF0 (Hz)Consonance Ratings
DyadRatioCDDVTone 1Tone 2Tone 1Tone 2OverallPianoClarinet
27:25 0.0205 1.08 251.57 271.69 2.58 2.25 2.84 
25:21 0.0013 1.19 238.88 284.38 4.53 4.68 4.41 
9:7 0.0258 1.29 228.93 294.33 3.61 3.73 3.52 
7:5 0.0142 1.40 218.03 305.24 3.60 3.28 3.87 
75:49 0.0323 1.53 206.77 316.49 3.62 3.77 3.50 
5:3 0.0151 1.67 196.22 327.04 4.61 4.44 4.75 
9:5 0.0182 1.80 186.88 336.38 3.61 3.59 3.63 
49:25 0.0400 1.96 176.78 346.48 3.42 3.02 3.74 
15:7 0.0239 2.14 166.49 356.77 3.18 3.19 3.18 
10 7:3 0.0451 2.33 10 156.98 366.28 3.67 3.75 3.61 
11 63:25 0.0002 2.52 11 148.65 374.61 4.89 5.40 4.46 
12 25:9 0.0506 2.78 12 138.51 384.75 3.05 3.25 2.87 
13 3:1 0.0034 3.00 13 130.82 392.45 4.13 4.37 3.93 
Scale DegreeF0 (Hz)Consonance Ratings
DyadRatioCDDVTone 1Tone 2Tone 1Tone 2OverallPianoClarinet
27:25 0.0205 1.08 251.57 271.69 2.58 2.25 2.84 
25:21 0.0013 1.19 238.88 284.38 4.53 4.68 4.41 
9:7 0.0258 1.29 228.93 294.33 3.61 3.73 3.52 
7:5 0.0142 1.40 218.03 305.24 3.60 3.28 3.87 
75:49 0.0323 1.53 206.77 316.49 3.62 3.77 3.50 
5:3 0.0151 1.67 196.22 327.04 4.61 4.44 4.75 
9:5 0.0182 1.80 186.88 336.38 3.61 3.59 3.63 
49:25 0.0400 1.96 176.78 346.48 3.42 3.02 3.74 
15:7 0.0239 2.14 166.49 356.77 3.18 3.19 3.18 
10 7:3 0.0451 2.33 10 156.98 366.28 3.67 3.75 3.61 
11 63:25 0.0002 2.52 11 148.65 374.61 4.89 5.40 4.46 
12 25:9 0.0506 2.78 12 138.51 384.75 3.05 3.25 2.87 
13 3:1 0.0034 3.00 13 130.82 392.45 4.13 4.37 3.93 

Note: Scale degrees represent number of BPCJ semitone intervals above the lowest tone (labeled “0”). Overall consonance ratings represent grand means of the ratings tendered by participants for each dyad, collapsed across trials. Ratings are also reported separately for participants in the piano (n = 51) and clarinet timbre (n = 59) conditions. CD = chromatic distance score. DV = Decimal value of frequency ratio.

Close Modal

or Create an Account

Close Modal
Close Modal