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Message: 5677 Date: Sun, 1 Dec 2002 22:25:29 Subject: Some 17-limit basis stuff From: Gene W Smith I was looking at what turns up when we take six successive 17-limit superparticular commas, and it turns out that 72 is an outlier, in the sense that it gets created ten times in this way; its nearest competition is 764, which appears four times. We get 72 from any successive six commas in this list [385/384, 441/440, 442/441, 540/539, 561/560, 595/594, 625/624, 676/675] or this list [625/624, 676/675, 715/714, 729/728, 833/832, 936/935, 1001/1000, 1089/1088] or this list: [1089/1088, 1156/1155, 1225/1224, 1275/1274, 1701/1700, 1716/1715, 2058/2057] The TM basis is this: [169/168, 221/220, 225/224, 243/242, 273/272, 325/324] We also have an interesting situation with 46, where two versions of the 46 et appear. We have h46+v17: [46, 73, 107, 129, 159, 170, 189] This is defined by six contiguous commas in the list [325/324, 351/350, 352/351, 364/363, 375/374, 385/384, 441/440] and has basis [52/51, 91/90, 121/119, 126/125, 169/168, 176/175] We also have h46: [46, 73, 107, 129, 159, 170, 188] This is defined by six contiguous commas of the list [256/255, 273/272, 289/288, 325/324, 351/350, 352/351, 364/363] or by the six commas [2601/2600, 3025/3024, 4096/4095, 4225/4224, 4375/4374, 4914/4913] It has basis [91/90, 121/120, 126/125, 136/135, 154/153, 169/168]
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