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''' | |||
--> | |||
Latest revision as of 04:07, 9 April 2025
Do not ban this user
He did nothing wrong
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.
Which number is the biggest? A. 81^56 B. 9^100 C. 27^72 D. 2^224
53log₂(81^56)≈18816
53log₂(9^100)≈16800
53log₂(27^72)≈18144
53log₂(2^224)=11872
A.
(calculated successfully with 53edo)
³√(2 7/9)÷³√(3/5) rounded to the nearest integer is A. 1 B. 2 C. 3 D. 4
53log₂(³√(25/9)÷³√(3/5))≈39
2^(39÷53)≈5÷3
round(5÷3)=2
B.
(calculated successfully with 53edo)
Which number is the smallest? A. 5√3 B. 4√7 C. 8√2 D. 3√11
41log₂(5√3)≈127.5
41log₂(4√7)≈139.5
41log₂(8√2)=143.5
41log₂(3√11)≈136
A.
(calculated successfully with 41edo)