John F. Link [HOME]


The "Link Chords"
(sorted by all-interval 12-note chord)

All numbers represent musical intervals (A = 10, B = 11). Each five-digit number represents a voicing of the all-trichord hexachord [0,1,2,4,7,8] found as a contiguous subset of the all-interval 12-note chord that follows it (represented by the 11-digit number).

For example, the "Link chord" 2586134B79A - 134B7 could be written

(with F#1 chosen as an arbitrary starting pitch)


No. AIS ATH

1 - 125634A97B8 - 25634

2 - 134B78526A9 - 134B7

3a - 134B79A6258 - 134B7

3b - 134B79A6258 - B79A6

4 - 1367A89B254 - 89B25

5 - 137B542896A - 7B542

6 - 137B982456A - 7B982

7 - 142965837BA - 29658

8 - 142973856BA - 856BA

9 - 1429738B65A - 8B65A

10 - 14297AB6853 - B6853

11 - 145638B729A - 8B729

12 - 1456A729B83 - 729B8

13 - 1456A982B73 - 982B7

14 - 145927B836A - 927B8

15 - 14598B63A72 - 8B63A

16 - 14689A7B253 - 7B253

17 - 1469B27A853 - 7A853

18 - 149278356BA - 78356

19 - 1492783B65A - 783B6

20 - 1496258A73B - 58A73

21 - 1496B358A72 - 358A7

22 - 14972836B5A - 2836B

23 - 14972B6385A - 2B638

24 - 1497A853B62 - 7A853

25 - 14B379A6528 - 79A65

26 - 14B6A783529 - 78352

27 - 172B6853A94 - B6853

28 - 17356BA8294 - 56BA8

29 - 1738A542B69 - 42B69

30 - 173B65A8294 - B65A8

31 - 1763A4952B8 - 4952B

32 - 176852B34A9 - 52B34

33a - 179236B8A54 - 236B8

33b - 179236B8A54 - 36B8A

34 - 17923B685A4 - 3B685

35 - 179245A8B63 - A8B63

36 - 17924A586B3 - 586B3

37 - 179A65234B8 - 79A65

38a - 179A8B63254 - A8B63

38b - 179A8B63254 - 8B632

39a - 1825B43796A - 25B43

39b - 1825B43796A - 5B437

40a - 1825B79A364 - 25B79

40b - 1825B79A364 - 5B79A

41 - 1852B43769A - B4376

42 - 1852B79463A - B7946

43 - 185629AB743 - 9AB74

44 - 18563479AB2 - 479AB

45 - 18563B7A492 - B7A49

46a - 18734B5296A - 734B5

46b - 18734B5296A - 34B52

47a - 187B259436A - 87B25

47b - 187B259436A - B2594

48 - 18A352B7964 - 352B7

49 - 18A497B3562 - A497B

50a - 18A97B52364 - A97B5

50b - 18A97B52364 - 97B52

51a - 18B63A79452 - 8B63A

51b - 18B63A79452 - A7945

52 - 19476538AB2 - 76538

53 - 1947A8536B2 - 7A853

54 - 1954763A8B2 - 4763A

55 - 19742538B6A - 97425

56 - 197425A6B83 - 97425

57 - 1974A8B6352 - A8B63

58 - 197A8532B64 - 7A853

59 - 1A5B7928364 - 5B792

60 - 1A63B874259 - 74259

61 - 1A6B3852479 - 52479

62 - 1A8352B4679 - 8352B

63 - 1A974253B68 - 97425

64 - 214367AB985 - 4367A

65a - 214376598BA - 43765

65b - 214376598BA - 76598

66 - 2143B86597A - B8659

67 - 2149586B37A - 586B3

68a - 214976538BA - 49765

68b - 214976538BA - 76538

69 - 216734BA985 - 6734B

70 - 216743B9A85 - 21674

71 - 217634AB985 - 7634A

72 - 21A8B956347 - 1A8B9

73 - 21A96583B47 - A9658

74 - 234A1596B87 - 34A15

75a - 235189B647A - 5189B

75b - 235189B647A - 189B6

76 - 23689B7A145 - 689B7

77a - 236B981547A - 6B981

77b - 236B981547A - B9815

78 - 23A514697B8 - 3A514

79 - 2513647BA98 - 47BA9

80a - 25189AB7463 - 25189

80b - 25189AB7463 - 9AB74

81 - 2546B981A73 - 6B981

82 - 25691A8B473 - 91A8B

83 - 2569B8A1437 - 9B8A1

84 - 258A73B6149 - 58A73

85 - 258A9614B37 - A9614

86 - 25A31496B87 - 5A314

87 - 25A89B61437 - 89B61

88 - 2618A497B35 - A497B

89 - 26347BA9185 - 47BA9

90a - 263891A7B45 - 891A7

90b - 263891A7B45 - 1A7B4

91 - 2653B718A49 - B718A

92a - 2654A1783B9 - A1783

92b - 2654A1783B9 - 1783B

93a - 2654B3871A9 - B3871

93b - 2654B3871A9 - 3871A

94a - 2654B7A1983 - 4B7A1

94b - 2654B7A1983 - 7A198

95 - 265819AB743 - 9AB74

96 - 2659B8A1347 - 9B8A1

97 - 267431A8B95 - 1A8B9

98 - 2694A817B35 - A817B

99a - 269A1783B45 - A1783

99b - 269A1783B45 - 1783B

100a - 269B3871A45 - B3871

100b - 269B3871A45 - 3871A

101a - 26B451A7389 - 451A7

101b - 26B451A7389 - 1A738

102a - 26B459817A3 - 59817

102b - 26B459817A3 - 9817A

103a - 26B4A718953 - A7189

103b - 26B4A718953 - 71895

104 - 26B873A5149 - 3A514

105 - 26B95134A87 - 5134A

106 - 26B95178A43 - 5178A

107a - 274316B985A - 4316B

107b - 274316B985A - 16B98

108 - 2743B86591A - B8659

109a - 274916B385A - 4916B

109b - 274916B385A - 16B38

110 - 2749586B31A - 586B3

111 - 276134BA985 - 6134B

112 - 276143B9A85 - 27614

113 - 27B34169A85 - 4169A

114a - 2965387B41A - 65387

114b - 2965387B41A - 5387B

115 - 296B387A145 - 6B387

116 - 29AB7436185 - 9AB74

117 - 29AB7463158 - 9AB74

118a - 29B7835641A - B7835

118b - 29B7835641A - 78356

119a - 2B431A96587 - B431A

119b - 2B431A96587 - A9658

120 - 2B465387A19 - 65387

121 - 2B637A85419 - 37A85

122a - 2B783A51469 - 2B783

122b - 2B783A51469 - 3A514

123 - 2B796415A38 - 415A3

124 - 2B8A1956743 - B8A19

125 - 2B9658A4137 - 9658A

126 - 3142B8956A7 - 3142B

127 - 3142BA79685 - 3142B

128 - 31456A972B8 - 56A97

129 - 314672B9A85 - 31467

130a - 3152689AB74 - 52689

130b - 3152689AB74 - 9AB74

131 - 3152B9A8764 - 152B9

132a - 3158629AB74 - 58629

132b - 3158629AB74 - 9AB74

133 - 316452B98A7 - 52B98

134 - 317BA562894 - 56289

135 - 317BA926854 - 92685

136 - 317BA986254 - 98625

137 - 319765A42B8 - 765A4

138 - 3198265AB74 - 98265

139 - 31A524796B8 - 52479

140 - 31A567942B8 - 56794

141 - 31A7B294685 - 31A7B

142a - 325B79A8164 - 25B79

142b - 325B79A8164 - 5B79A

143 - 3265981AB74 - 65981

144a - 329B71A4568 - 29B71

144b - 329B71A4568 - 9B71A

145 - 32B981A6547 - 2B981

146 - 347621A8B95 - 1A8B9

147 - 3479AB26185 - 479AB

148 - 34A9B712568 - A9B71

149a - 35146A927B8 - 146A9

149b - 35146A927B8 - 927B8

150a - 351A64927B8 - 1A649

150b - 351A64927B8 - 927B8

151 - 351A7924B68 - 51A79

152 - 35216B98A74 - 16B98

153 - 3521A8B9674 - 1A8B9

154 - 3581629BA74 - 1629B

155 - 3594A6127B8 - 94A61

156 - 359B6128A74 - B6128

157 - 35B7216A498 - 16A49

158 - 35B72946A18 - 946A1

159 - 35B729A6418 - 9A641

160a - 3625189AB74 - 25189

160b - 3625189AB74 - 9AB74

161 - 36524BA8917 - 36524

162 - 3674218A9B5 - 36742

163a - 36A154927B8 - A1549

163b - 36A154927B8 - 927B8

164 - 3764128A9B5 - 37641

165 - 38297B5A164 - 297B5

166 - 38B729A6145 - 8B729

167a - 3A17B924568 - A17B9

167b - 3A17B924568 - 17B92

168 - 3A4952B8617 - 4952B

169 - 3A6194527B8 - 61945

170 - 3A62B815497 - 15497

171a - 3A97B528164 - A97B5

171b - 3A97B528164 - 97B52

172 - 3B2418596A7 - 3B241

173 - 3B7A4926185 - B7A49

174 - 416352B7A98 - 352B7

175a - 41A629B7835 - 629B7

175b - 41A629B7835 - B7835

176 - 4328A56B917 - 8A56B

177 - 4328AB65917 - 8AB65

178 - 43A9B865217 - 9B865

179 - 463152B9A87 - 152B9

180 - 46529B8A137 - 9B8A1

181 - 46731A8B925 - 1A8B9

182a - 4692B513A87 - 2B513

182b - 4692B513A87 - B513A

183 - 46982315BA7 - 2315B

184a - 469A315B287 - A315B

184b - 469A315B287 - 315B2

185 - 4769B251A38 - 9B251

186 - 4783A1629B5 - 1629B

187 - 47A198236B5 - 7A198

188 - 47B928361A5 - 8361A

189 - 4A1629B3785 - 1629B

190 - 4AB86592317 - B8659

191 - 4B2538A1697 - B2538

192a - 4B29658A317 - 29658

192b - 4B29658A317 - 9658A

193a - 4BA85692317 - A8569

193b - 4BA85692317 - 85692

194 - 5896A142B37 - 142B3


linkj@wpunj.edu