User:PiotrGrochowski/User:PiotrGrochowski: Difference between revisions
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I' | <span style="font-family: 'Consolas';"><div><big>''Do not ban this user''</big></div> | ||
<div><big>''He did nothing wrong''</big></div> | |||
Edos are for calculating approximate logarithms in mathematics. The right choice of an edo (such as [[53edo]] or even [[612edo]] for 5-limit numbers) would give accurate results. | |||
<pre>Which number is the biggest? | |||
A. 81^56 | |||
B. 9^100 | |||
C. 27^72 | |||
D. 2^224</pre> | |||
53log₂(81^56)≈18816<br> | |||
53log₂(9^100)≈16800<br> | |||
53log₂(27^72)≈18144<br> | |||
53log₂(2^224)=11872 | |||
<b>A.</b> | |||
(calculated successfully with [[53edo]]) | |||
<pre>³√(2 7/9)÷³√(3/5) rounded to the nearest integer is | |||
A. 1 | |||
B. 2 | |||
C. 3 | |||
D. 4</pre> | |||
53log₂(³√(25/9)÷³√(3/5))≈39 | |||
2^(39÷53)≈5÷3 | |||
round(5÷3)=2 | |||
<b>B.</b> | |||
(calculated successfully with [[53edo]]) | |||
<pre>Which number is the smallest? | |||
A. 5√3 | |||
B. 4√7 | |||
C. 8√2 | |||
D. 3√11</pre> | |||
41log₂(5√3)≈127.5<br> | |||
41log₂(4√7)≈139.5<br> | |||
41log₂(8√2)=143.5<br> | |||
41log₂(3√11)≈136 | |||
<b>A.</b> | |||
(calculated successfully with [[41edo]]) | |||
</span> | |||
<!--For information about me, see [[Editor PiotrGrochowski]] | |||
<span style="font-family: 'Consolas';">'''DO NOT MOVE [[Editor PiotrGrochowski]] HERE. THIS IS A PERSONAL [[SandBox]].'''</span> | |||
making up interval names | |||
0\94 0 unison | |||
1\94 12.766 | |||
2\94 25.532 | |||
3\94 38.298 | |||
4\94 51.064 | |||
5\94 63.830 | |||
6\94 76.596 | |||
7\94 89.362 | |||
8\94 102.128 | |||
9\94 114.894 | |||
10\94 127.660 | |||
11\94 140.426 | |||
12\94 153.191 | |||
13\94 165.957 | |||
14\94 178.723 | |||
15\94 191.489 | |||
16\94 204.255 | |||
experimenting with 94edo version of partch (I like to keep using 94edo for everything...) | |||
1/1 | |||
144/143 | |||
81/80 | |||
49/48 | |||
36/35 | |||
25/24 | |||
Will write down the commas of 15–odd–limit below | |||
{{list | |||
|[[16/15]], [[15/8]] | |||
|[[15/14]], [[28/15]] | |||
|[[14/13]], [[13/7]] | |||
|[[13/12]], [[24/13]] | |||
|[[12/11]], [[11/6]] | |||
|[[11/10]], [[20/11]] | |||
|[[10/9]], [[9/5]] | |||
|[[9/8]], [[16/9]] | |||
|[[8/7]], [[7/4]] | |||
|[[15/13]], [[26/15]] | |||
|[[7/6]], [[12/7]] | |||
|[[13/11]], [[22/13]] | |||
|[[6/5]], [[5/3]] | |||
|[[11/9]], [[18/11]] | |||
|[[16/13]], [[13/8]] | |||
|[[5/4]], [[8/5]] | |||
|[[14/11]], [[11/7]] | |||
|[[9/7]], [[14/9]] | |||
|[[13/10]], [[20/13]] | |||
|[[4/3]], [[3/2]] | |||
|[[15/11]], [[22/15]] | |||
|[[11/8]], [[16/11]] | |||
|[[18/13]], [[13/9]] | |||
|[[7/5]], [[10/7]] | |||
}} | |||
<pre>16/15 and 15/14 — '''225/224''' | |||
16/15 and 14/13 — '''105/104''' | |||
16/15 and 13/12 — '''65/64''' | |||
16/15 and 12/11 — '''45/44''' | |||
16/15 and 11/10 — '''33/32''' | |||
16/15 and 10/9 — '''25/24''' | |||
16/15 and 9/8 — '''135/128''' | |||
15/14 and 14/13 — '''196/195''' | |||
15/14 and 13/12 — '''91/90''' | |||
15/14 and 12/11 — '''56/55''' | |||
15/14 and 11/10 — '''77/75''' | |||
15/14 and 10/9 — '''28/27''' | |||
15/14 and 9/8 — '''21/20''' | |||
14/13 and 13/12 — '''169/168''' | |||
--> | |||