User:M1k1 H2tsun2/Just intervals naming
In that naming before, I was knowing about 2/1, and 3/2, and 4/3, and 5/4, and else of the 3-limit and 5-limit and 7-limit intervals, that's sounds pretty good. But, How can we owned to their's intervals naming? that's a new way to think and get them, from now on, Let's do it:
1-limit:
1/1: onet
2-limit:
2/1: pure eighth
4/1: pure fifteenth
8/1: pure twenty-twoth
16/1: pure twenty-ninth
and so forth.
beyond by 2-limit, such as 3-limit and 5-limit and 7-limit and so on, we are using number "three, five, seven and so on" rather than something else, and using -erish / -rish for limit beyond by 2, such as 3-limit, 5-limit, 7-limit and so forth.
3-limit:
3/2: threerish pure fifth
4/3 : threerish pure fourth
9/8: threerish major twoth
16/9: threerish minor seventh
27/16: threerish major sixth
32/27: threerish minor third
81/64: threerish major third
128/81: threerish minor sixth
243/128: threerish major seventh
256/243: threerish minor twoth
729/512: threerish augmented fourth
1024/729: threerish diminished fifth
2187/2048: threerish augmented onet
4096/2187: threerish diminished eighth
6561/4096: threerish augmented fifth
8192/6561: threerish diminished fourth
19683/16384: threerish augmented twoth
32768/19683: threerish diminished seventh
59049/32768: threerish augmented sixth
65536/59049: threerish diminished third
177147/131072: threerish augmented third
262144/177147: threerish diminished sixth
......
5-limit:
5/4: fiverish major third
8/5: fiverish minor sixth
5/3: fiverish major sixth
6/5: fiverish minor third
10/9: fiverish major twoth
9/5: fiverish minor seventh
15/8: fiverish major seventh
16/15: fiverish minor twoth
45/32: fiverish augmented fourth
64/45: fiverish diminished fifth
...
Tips: If we really makes 81/80 doubled, tripled, etc. we will use prefix such as: twi- thri- and so on. such as:
25/18: twifiverish augmented fourth
36/25: twifiverish diminished fifth
25/24: twifiverish augmented onet
48/25: twifiverish diminished fifth
25/16: twifiverish augmented fifth
32/25: twifiverish diminished third
75/64: twifiverish augmented twoth
128/75: twifiverish diminished seventh
225/128: twifiverish augmented sixth
256/225: twifiverish diminished third
125/72: thrifiverish augmented sixth
144/125: thrifiverish diminished third
125/96: thrifiverish augmented third
192/125: thrifiverish diminished sixth
125/64: thrifiverish augmented seventh
128/125: thrifiverish diminished twoth
...
7-limit:
7/4: sevenerish minor seventh
8/7: sevenerish major twoth
7/6: sevenerish minor third
12/7: sevenerish major sixth
14/9: sevenerish minor sixth
9/7: sevenerish major third
28/27: sevenerish minor twoth
27/14: sevenerish major seventh
21/16: sevenerish pure fourth
32/21: sevenerish pure fifth
...
If we really mix by 81/80 and 64/63, we will get this:
7/5: seven-fiverish diminished fifth
10/7: five-sevenerish augmented fourth
21/20: seven-fiverish minor twoth
40/21: five-sevenerish major seventh
...