Melodic interval performance

Appendix II


Data tables of the Figures 3-6, 9-11, 13, 14

(Color code : Pink for Timbre Octave Choir. Green for Timbre Sesquialtera. Shaded areas underline values smaller than theoretical)
Table A referring to Figure 3
Subjective pitch shifts by changing timbre from Sesquialtera to Sinonde.
Subject PB-LE. Mean shifts and SD in cents. 26 trials per position.
Position N° 9 18 27 36
Frequency (Hz) 100,9 169,6 285,3 479,8  
Mean shift 69,9 -112,6 -4,3 -36,2  
SD 43,1 51,3 15,3 18,9  




Table B referring to Figure 4
Subjective pitch shifts by changing timbre from Flute F1 to Octave Choir.
Subject PBa. Mean shifts and SD in cents. 10 trials per position.
  Position N° 12 20 24 32 36 37  
  Frequency (Hz) 120 190,4 239,9 380,8 479,8 508,4  
  Mean shift -10,8 12,6 3,0 76,5 105,3 73,2  
  SD 26,3 14,3 18,0 14,9 8,4 16,6  




Table C referring to Figure 5
Descending octaves by 4 listeners from 4 positions, with 4 timbres.
Right ear monaural listening. Interval values and [SD] in cents.
Subject Timbre Upper starting positions (Frequencies in Hz)
    21 (201,7) 29 (320,2) 37 (508,4) 45 (807)  
  GJ Octave Choir 1197,1
[10,7]		 1211,9
[9,8]		 1207,9
[9,5]		 1204,7
[9,4]		  
   " Sesquialtera 1204,4
[17,4]		 1214,1
[18,4]		 1201,1
[16,1]		 1190,8
[17,7]		  
  PJ Octave Choir 1188,6
[10,9]		 1204,4
[5,8]		 1197,9
[3,4]		 1192,3
[4,2]		  
   " Sesquialtera 1151,9
[14,7]		 1196,0
[15,7]		 1177,7
[13,2]		 1184,0
[5,8]		  
  CR Octave Choir 1208,9
[7,2]		 1205,0
[5,1]		 1207,8
[3,6]		 1201,3
[3,0]		  
   " Sesquialtera 1201,7
[11,3]		 1223,6
[10,5]		 1194,4
[20,5]		 1183,6
[10,5]		  
  PBa Octave Choir 1241,9
[10,4]		 1209,0
[8,4]		 1169,0
[9,9]		 1213,8
[17,6]		  
   " Sesquialtera 1235,0
[20,2]		 1219,4
[21,7]		 1174,4
[16,8]		 1265,8
[26,5]		  
   " Cromorn 1266,0
[22,0] 		1221,6
[10,1]		 1185,8
[12,2]		 1254,3
[18,4]		  
   " Trompe 1262,4
[15,8]		 1272,9
[14,7]		 1225,7
[10,1]		 1272,9
[15,1]		  




Table D referring to Figure 6
Values in cents of descending octaves by subject FXS in 3 timbres,
from 9 positions, 3 trials per position.
  Position n° 23 25 27 29 31 33 35 37 39  
  Frequencies
  (Hz)		 226,4 254,2 285,3 320,2 359,5 403,5 452,9 508,4 570,7  
  Sinonde 1241

1205

1253		 1142

1213

1174		 1237

1242

1175		 1200

1218

1235		 1215

1222

1206		 1223

1242

1207		 1223

1216

1184		 1230

1196

1230		 1231

1200

1211		  
  Sesquialtera 1185

1247

1238		 1188

1222

1193		 1190

1212

1225		 1234

1195

1239		 1188

1210

1183		 1187

1231

1221		 1195

1230

1226		 1215

1224

1225		 1215

1204

1195		  
  Octave Choir 1219

1202

1196		 1221

1205

1205		 1235

1224

1242		 1228

1242

1217		 1214

1231

1213		 1209

1186

1212		 1215

1194

1196		 1208

1225

1209		 1211

1217

1186		  




Table E referring to Figure 9
Descending sixths by subject FXS, in timbre Sesquialtera. Theoretical
and tempered sixths are 884, and 900 cents, respectively.
  Position N° 27 29 31 33 35 37 39  
  Frequency (Hz) 285,3 320,2 359,5 403,5 452,9 508,4 570,7  
  Trial 1 961 959 934 916 926 903 955  
  Trial 2 984 893 885 889 933 858 953  
  Trial 3 879 954 839 899 927 920 965  
  Mean 941 936 886 902 929 893 958  




Table F referring to Figure 10
Descending sixths by subject PBa, in timbres Octave Choir and Sesquialtera.
6 trials per position. Interval mean values and [SD] in cents.
  Position n° 18 21 24 27 30 33 36 39 42 45 48  
  Frequencies (Hz) 169,6 201,7 239,9 285,3 339,3 403,5 479,8 570,6 678,6 807,0 959,6  
  Octave Choir 860 [34] 882 [18] 912 [45] 925 [19] 921 [31] 940 [16] 954 [17] 880 [35] 774 [21] 882 [6] 859 [15]  
  Sesquialtera 902 [25] 889 [23] 903 [25] 945 [27] 926 [11] 860 [22] 820 [30] 896 [30] 917 [16] 910 [17] 926 [28]  




Table G referring to Figure 11
Descending twelths by subjects PBa and CR, from 4 positions, in 3 and 1 timbres, and respectively 15 and 14 trials per position per timbre. Interval mean values and [SD] in cents. Theoretical twelth value is 1902 cents.
Position N° [Freq, Hz] 28 [302,3] 34 [427,5] 39 [570,6] 45 [807]  
  Subject Timbre Mean Interval values [SD] in cents  
  PBa Octave Choir 1883
[33]		 1901
[26]		 1827
[23]		 1904
[24]		  
  PBa Sesquialtera 1932
[16]		 1860
[18]		 1828
[7]		 1863
[8]		  
  PBa Sinonde 1921
[16]		 1883
[18]		 1897
[18]		 1867
[17]		  
  CR Sesquialtera 1919
[8]		 1922
[20]		 1921
[7]		 1913
[9]		  




Table H referring to Figure 13 and 14
Descending fifteenths and seventeenths by subject PBa in Octave Choir and Sesquialtera, from 4 positions each, 15 trials per position per timbre. Mean interval values and [SD] in cents. Theoretical values are 2400(15th) and 2786(17th).
  Position N° 33 36 38 40 43 44 48  
 Frequencies (Hz) 403,5 479,8 538,6 604,5 718,9 761,7 959,6  
 15th
 Octave Choir		 2445
[28]		   2448
[17]		   2367
[15]		   2321
[41]		  
 15th  Sesquialtera 2422
[32]		   2476
[15]		   2424
[12]		   2423
[23]		  
 17th
 Octave Choir		   2836
[19]		   2810
[38]		   2819
[24]		 2803
[17]		  
 17th  Sesquialtera   2696
[27]		   2783
[23]		   2806
[20]		 2828
[17]