# recreational math, music

posted by .

How would you go about listing all of the integer ratios, preferably in a spreadsheet? I would like to have them listed in ascending order by the product of the numerator and the denominator, because in music, more "complex" ratios produce more dissonance. One list would include those ratios with values less than or equal to 1, and the complementary list would include those ratios greater than or equal to 1. The every list would exclude ratios that can be simplified (2/4, 3/9). A second set of two lists would exclude ratios of 1/n where n is a composite number, a third set would exclude ratios with values less than 1/2 (or greater than 2 in the complementary list), and a fourth set would use both exclusions. I think this is what I'm aiming for: 1/1, 1/2, [1/3], [[1/4]], [1/5], 2/3... along with the complementary list: 1/1, 2/1, [3/1], [[4/1]], [5/1], 3/2... where brackets indicate excluded ratios. Does anyone understand how the proposed exclusions relate to music theory? Thanks!

## Similar Questions

1. ### algebra

w10y12z _______ w6z5 Are those exponents like [(w^10)*(y^12)*z]/[(w^6)*(z^5)]?
2. ### music

hi um could you help me i have to do a music assignment and i to talk to my class about a piece of music from my fave artist like what instruments are used the structure of the music and those kinds of things but im not good at music …
3. ### Math

how do you reduce a fraction Dividde both the numerator and denominator by the largest common integer possible. Then cancel them out. For example, in the fraction 15/25, the largest integer that is divisible evenly into both numerator …
4. ### music -year 8

i`m doing a school project in music about buddy holly. i need info about when he died and how, all about his music , if he was married had any children . thanks so much to everyone who helps!
5. ### Music

Okay, I have to do a powerpoint for Spain. And I need some background music. It would be best if it's Spain music, or somewhat related, but there aren't then any kind of background music that would fit a powerpoint would be fine. Thank …
6. ### Music

My music teacher was saying that if any1 can answer this question then he will give us gift.So i wanted to answer my teacher the question is Q1.Name the types of music for example pop, rock ,country and tell how they are which type …
7. ### math and music

How would you go about listing all of the integer ratios?
8. ### math and music

How would you go about listing all of the integer ratios?
9. ### Math advance functions gr 12

use the asymptotes and intercepts to make a quick sketch of the function f(x)= x-2 (numerator) x+4(denominator) and its reciprocal f^r = x+4 (numerator) x-2 (denominator) on the same set of axes. b) describe the symmetry in the graphs …
10. ### Music

I know this is probably a dumb question but I have to write a report on a music artist and I like rock music so I want to know what artist should I choose?

More Similar Questions