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| Line 2,781: |
Line 2,781: |
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| == Subgroup extensions == | | == Subgroup extensions == |
| === Maqamschismic (2.3.5.11) ===
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| Proposed by [[Eufalesio]] in 2026, maqamschismic is equivalent to the no-7 [[cassandra]]. The 2.3.5.11.13 subgroup adds [[352/351]] to the comma list and tempers 11/9~39/32 together (and 16/13~27/22), providing a very simple framework for tuning [[maqam]]at (especially the Turkish version), as outlined by [[Ozan Yarman]]. 41edo and 53edo are simplest, but 94edo is more optimized. It is only slightly worse than the no-7 [[helenus]].
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| Subgroup: 2.3.5.11
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| Comma list: 2200/2187, 4125/4096
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| Subgroup-val mapping: {{mapping| 1 0 15 -33 | 0 1 -8 23 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.5458{{c}} ~3/2 = 702.4021{{c}}
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| * CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0906{{c}}
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| {{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e, 241ce, 335ce }}
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| Badness (Sintel): 1.34
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| ==== 2.3.5.11.13 subgroup ====
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| Subgroup: 2.3.5.11.13
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| Comma list: 325/324, 352/351, 4125/4096
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| Subgroup-val mapping: {{mapping| 1 0 15 -33 -28 | 0 1 -8 23 20 }}
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| Optimal tunings:
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| * WE: ~2 = 1200.4565{{c}} ~3/2 = 702.3057{{c}}
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| * CWE: 2 = 1200.0000{{c}}, ~3/2 = 702.0485{{c}}
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| {{Optimal ET sequence|legend=0| 12e, …, 41, 53, 94, 147e }}
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| Badness (Sintel): 0.862
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| === Tridecaschismic (2.3.5.13) === | | === Tridecaschismic (2.3.5.13) === |