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Atlas

All 351 forms

Every non-empty collection of pitch classes, up to transposition, drawn with C as tonic at its proposed position. Major and minor triads are counted on each card.

1 note Single note · 1 form

1Unison0 triads · unbroken

2 notes Dyads · 6 forms

3Fifth0 triads · unbroken 5Whole tone0 triads 9Minor third0 triads 17Major third0 triads 33Semitone0 triads 65Tritone0 triads

3 notes Trichords · 19 forms

7Suspended0 triads · unbroken 11Forte 3-70 triads 13Forte 3-70 triads 19Minor triad1 triad 21Forte 3-60 triads 25Major triad1 triad 35Forte 3-40 triads 37Forte 3-20 triads 41Forte 3-20 triads 49Forte 3-40 triads 67Forte 3-50 triads 69Forte 3-80 triads 73Diminished triad0 triads 81Forte 3-80 triads 97Forte 3-50 triads 133Forte 3-10 triads 137Forte 3-30 triads 145Forte 3-30 triads 273Augmented triad0 triads

4 notes Tetrachords · 43 forms

15Forte 4-230 triads · unbroken 23Forte 4-221 triad 27Minor seventh2 triads 29Forte 4-221 triad 39Forte 4-141 triad 43Forte 4-110 triads 45Forte 4-100 triads 51Major seventh2 triads 53Forte 4-110 triads 57Forte 4-141 triad 71Forte 4-160 triads 75Forte 4-130 triads 77Half-diminished seventh1 triad 83Forte 4-Z291 triad 85Forte 4-210 triads 89Dominant seventh1 triad 99Forte 4-80 triads 101Forte 4-Z291 triad 105Forte 4-130 triads 113Forte 4-160 triads 135Forte 4-60 triads 139Forte 4-Z150 triads 141Forte 4-40 triads 147Forte 4-181 triad 149Forte 4-20 triads 153Forte 4-172 triads 163Forte 4-50 triads 165Forte 4-10 triads 169Forte 4-20 triads 177Forte 4-40 triads 195Forte 4-90 triads 197Forte 4-50 triads 201Forte 4-181 triad 209Forte 4-Z150 triads 275Minor-major seventh1 triad 277Forte 4-240 triads 281Augmented major seventh1 triad 291Forte 4-70 triads 293Forte 4-120 triads 297Forte 4-30 triads 325Forte 4-250 triads 329Forte 4-120 triads 585Diminished seventh0 triads

5 notes Pentachords · 66 forms

31Pentatonic2 triads · unbroken 47Forte 5-231 triad 55Forte 5-273 triads 59Forte 5-273 triads 61Forte 5-231 triad 79Forte 5-291 triad 87Forte 5-241 triad 91Forte 5-252 triads 93Forte 5-342 triads 103Hirajoshi2 triads 107Forte 5-Z120 triads 109Forte 5-252 triads 115Forte 5-202 triads 117Forte 5-241 triad 121Forte 5-291 triad 143Forte 5-140 triads 151Forte 5-Z361 triad 155Forte 5-323 triads 157Forte 5-112 triads 167Forte 5-51 triad 171Forte 5-90 triads 173Forte 5-20 triads 179Forte 5-Z382 triads 181Forte 5-20 triads 185Forte 5-112 triads 199Forte 5-70 triads 203Forte 5-191 triad 205Forte 5-Z382 triads 211Forte 5-191 triad 213Forte 5-90 triads 217Forte 5-323 triads 227Forte 5-70 triads 229Forte 5-51 triad 233Forte 5-Z361 triad 241Forte 5-140 triads 279Forte 5-301 triad 283Forte 5-Z372 triads 285Forte 5-301 triad 295Forte 5-Z181 triad 299Forte 5-30 triads 301Forte 5-100 triads 307Forte 5-213 triads 309Forte 5-261 triad 313Forte 5-Z172 triads 327Forte 5-150 triads 331Forte 5-40 triads 333Forte 5-281 triad 339Forte 5-131 triad 341Forte 5-330 triads 345Forte 5-261 triad 355Forte 5-60 triads 357Forte 5-281 triad 361Forte 5-100 triads 397Forte 5-60 triads 403Forte 5-222 triads 405Forte 5-131 triad 409Forte 5-213 triads 421Forte 5-40 triads 425Forte 5-30 triads 457Forte 5-Z181 triad 587Forte 5-311 triad 589Forte 5-311 triad 595Forte 5-162 triads 597Forte 5-80 triads 613Forte 5-162 triads 661Forte 5-10 triads

6 notes Hexachords · 80 forms

63Forte 6-324 triads · unbroken 95Forte 6-333 triads 111Forte 6-Z253 triads 119Forte 6-Z264 triads 123Forte 6-Z253 triads 125Forte 6-333 triads 159Blues scale3 triads 175Forte 6-91 triad 183Forte 6-Z403 triads 187Forte 6-Z464 triads 189Forte 6-82 triads 207Forte 6-182 triads 215Forte 6-Z121 triad 219Forte 6-Z504 triads 221Forte 6-Z464 triads 231Forte 6-Z382 triads 235Forte 6-Z121 triad 237Forte 6-Z403 triads 243Forte 6-182 triads 245Forte 6-91 triad 249Forte 6-Z473 triads 287Forte 6-Z482 triads 303Forte 6-Z111 triad 311Forte 6-314 triads 315Forte 6-144 triads 317Forte 6-Z242 triads 335Forte 6-Z411 triad 343Forte 6-221 triad 347Forte 6-Z392 triads 349Prometheus2 triads 359Forte 6-Z432 triads 363Forte 6-Z30 triads 365Forte 6-Z232 triads 371Forte 6-163 triads 373Forte 6-342 triads 377Forte 6-Z242 triads 399Forte 6-Z60 triads 407Forte 6-Z172 triads 411Forte 6-Z444 triads 413Forte 6-163 triads 423Forte 6-51 triad 427Forte 6-Z40 triads 429Forte 6-Z30 triads 435Forte 6-Z444 triads 437Forte 6-Z392 triads 441Forte 6-144 triads 455Forte 6-70 triads 459Forte 6-51 triad 461Forte 6-Z432 triads 467Forte 6-Z172 triads 469Forte 6-221 triad 473Forte 6-314 triads 485Forte 6-Z411 triad 489Forte 6-Z111 triad 591Forte 6-Z292 triads 599Forte 6-Z102 triads 603Forte 6-273 triads 605Forte 6-Z452 triads 615Forte 6-Z194 triads 619Forte 6-Z282 triads 621Forte 6-273 triads 627Forte 6-Z194 triads 629Forte 6-Z102 triads 663Forte 6-Z362 triads 667Forte 6-Z494 triads 669Forte 6-Z362 triads 679Forte 6-Z372 triads 683Forte 6-211 triad 685Forte 6-20 triads 691Forte 6-153 triads 693Forte 6-10 triads 715Tritone scale2 triads 717Forte 6-Z422 triads 723Forte 6-Z132 triads 725Forte 6-20 triads 819Augmented scale6 triads 821Forte 6-153 triads 845Forte 6-302 triads 853Forte 6-211 triad 1365Whole-tone scale0 triads

7 notes Heptachords · 66 forms

127Diatonic6 triads · unbroken 191Forte 7-235 triads 223Forte 7-295 triads 239Forte 7-144 triads 247Forte 7-144 triads 251Forte 7-295 triads 253Forte 7-235 triads 319Forte 7-275 triads 351Forte 7-243 triads 367Forte 7-Z363 triads 375Neapolitan minor5 triads 379Forte 7-114 triads 381Melodic minor4 triads 415Forte 7-204 triads 431Forte 7-51 triad 439Forte 7-Z185 triads 443Forte 7-Z176 triads 445Forte 7-114 triads 463Forte 7-72 triads 471Forte 7-152 triads 475Forte 7-Z185 triads 477Forte 7-305 triads 487Forte 7-72 triads 491Forte 7-51 triad 493Forte 7-Z363 triads 499Persian4 triads 501Enigmatic3 triads 505Forte 7-275 triads 607Forte 7-254 triads 623Harmonic minor5 triads 631Forte 7-Z376 triads 635Harmonic major5 triads 637Forte 7-254 triads 671Forte 7-Z124 triads 687Forte 7-92 triads 695Forte 7-34 triads 699Forte 7-265 triads 701Forte 7-22 triads 719Forte 7-193 triads 727Forte 7-42 triads 731Forte 7-315 triads 733Forte 7-104 triads 743Forte 7-64 triads 747Forte 7-283 triads 749Forte 7-104 triads 755Forte 7-Z384 triads 757Forte 7-22 triads 823Forte 7-217 triads 827Forte 7-217 triads 829Forte 7-Z384 triads 847Forte 7-193 triads 855Forte 7-133 triads 859Forte 7-164 triads 861Forte 7-283 triads 871Double harmonic6 triads 875Forte 7-164 triads 877Forte 7-315 triads 885Forte 7-265 triads 925Forte 7-64 triads 939Forte 7-133 triads 941Forte 7-42 triads 949Forte 7-34 triads 981Forte 7-92 triads 1367Neapolitan major2 triads 1371Forte 7-82 triads 1387Forte 7-10 triads

8 notes Octachords · 43 forms

255Bebop dominant8 triads · unbroken 383Forte 8-227 triads 447Forte 8-147 triads 479Forte 8-166 triads 495Forte 8-64 triads 503Forte 8-166 triads 507Forte 8-147 triads 509Forte 8-227 triads 639Forte 8-268 triads 703Forte 8-116 triads 735Forte 8-136 triads 751Forte 8-Z156 triads 759Forte 8-46 triads 763Forte 8-277 triads 765Forte 8-106 triads 831Forte 8-208 triads 863Forte 8-Z295 triads 879Forte 8-187 triads 887Forte 8-199 triads 891Forte 8-178 triads 893Forte 8-277 triads 927Forte 8-86 triads 943Forte 8-54 triads 951Forte 8-78 triads 955Forte 8-199 triads 957Forte 8-46 triads 975Forte 8-94 triads 983Forte 8-54 triads 987Forte 8-187 triads 989Forte 8-Z156 triads 1003Forte 8-Z295 triads 1005Forte 8-136 triads 1013Forte 8-116 triads 1375Forte 8-214 triads 1391Forte 8-24 triads 1399Forte 8-246 triads 1403Forte 8-24 triads 1455Forte 8-12 triads 1463Forte 8-126 triads 1467Forte 8-36 triads 1495Forte 8-254 triads 1499Forte 8-126 triads 1755Octatonic8 triads

9 notes Nonachords · 19 forms

511Forte 9-910 triads · unbroken 767Forte 9-710 triads 895Forte 9-1111 triads 959Forte 9-410 triads 991Forte 9-58 triads 1007Forte 9-58 triads 1015Forte 9-410 triads 1019Forte 9-1111 triads 1021Forte 9-710 triads 1407Forte 9-68 triads 1471Forte 9-28 triads 1503Forte 9-88 triads 1519Forte 9-16 triads 1527Forte 9-88 triads 1531Forte 9-28 triads 1759Forte 9-1010 triads 1775Forte 9-310 triads 1783Forte 9-310 triads 1911Forte 9-1212 triads

10 notes Decachords · 6 forms

1023Forte 10-514 triads · unbroken 1535Forte 10-212 triads 1791Forte 10-314 triads 1919Forte 10-414 triads 1983Forte 10-112 triads 2015Forte 10-612 triads

11 notes Undecachord · 1 form

2047Forte 11-118 triads · unbroken

12 notes Aggregate · 1 form

4095Chromatic24 triads · unbroken