3L 4s: Difference between revisions

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=== Ultrahard ===
=== Ultrahard ===
Ultra tunings of mosh have a step ratio greater than 4/1, implying a generator sharper than 5\16 = 375¢. The generator is thus near a [[5/4]] major third, five of which add up to an approximate [[3/1]]. The 7-note MOS only has two perfect fifths, so extending the chain to bigger MOSes, such as the [[3L 7s]] 10-note MOS, is suggested for getting 5-limit harmony.
Ultra tunings of mosh have a step ratio greater than 4/1, implying a generator sharper than 5\16 = 375¢. The generator is thus near a [[5/4]] major third, five of which add up to an approximate [[3/1]]. The 7-note MOS only has two perfect fifths, so extending the chain to bigger MOSes, such as the [[3L 7s]] 10-note MOS, is suggested for getting 5-limit harmony.


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| || || || || 12\41 || || 351.220 || 7 || 5 || 1.400 || Mohaha / [[neutrominant]]
| || || || || 12\41 || || 351.220 || 7 || 5 || 1.400 || Mohaha / [[neutrominant]]
|-
|-
| || || || || || 17\58 || 351.724 || 10 || 7 || 1.428 || [[Hemif]] / [[Hemififths]]
| || || || || || 17\58 || 351.724 || 10 || 7 || 1.429 || [[Hemif]] / [[Hemififths]]
|-
|-
| || || 5\17 || || || || 352.941 || 3 || 2 || 1.500 ||  
| || || 5\17 || || || || 352.941 || 3 || 2 || 1.500 ||  
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| || || || || 13\44 || || 354.545 || 8 || 5 || 1.600 ||  
| || || || || 13\44 || || 354.545 || 8 || 5 || 1.600 ||  
|-
|-
| || || || || || 21\71 || 354.783 || 13 || 8 || 1.625 || Golden suhajira (354.8232¢)
| || || || || || 21\71 || 354.930 || 13 || 8 || 1.625 || Golden suhajira (354.8232¢)
|-
|-
| || || || 8\27 || || || 355.556 || 5 || 3 || 1.667 || Suhajira / [[ringo]]
| || || || 8\27 || || || 355.556 || 5 || 3 || 1.667 || Suhajira / [[ringo]]
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| || 3\10 || || || || || 360.000 || 2 || 1 || 2.000 || Basic mosh <br>(Generators smaller than this are proper)
| || 3\10 || || || || || 360.000 || 2 || 1 || 2.000 || Basic mosh <br>(Generators smaller than this are proper)
|-
|-
| || || || || || 13\43 || 362.264 || 9 || 4 || 2.250 ||
| || || || || || 13\43 || 362.791 || 9 || 4 || 2.250 ||
|-
|-
| || || || || 10\33 || || 363.636 || 7 || 3 || 2.333 ||  
| || || || || 10\33 || || 363.636 || 7 || 3 || 2.333 ||