User:MasonGreen1/Naughty and nice harmonics: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 567516605 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 567516825 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2015-11-23 14: | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2015-11-23 14:52:25 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>567516825</tt>.<br> | ||
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* Harmonics that can form strong triads or tetrads are "nice". The 16:19:24 triad sounds very good (it is close to the 12edo minor triad), 17 and 13 can also be used to build triads which sound reasonably good (14:17:21 and 10:13:15, respectively) but 11 cannot. Triads such as 8:11:12 have a lot of "tension" due to the small size of the 11:12. | * Harmonics that can form strong triads or tetrads are "nice". The 16:19:24 triad sounds very good (it is close to the 12edo minor triad), 17 and 13 can also be used to build triads which sound reasonably good (14:17:21 and 10:13:15, respectively) but 11 cannot. Triads such as 8:11:12 have a lot of "tension" due to the small size of the 11:12. | ||
* Harmonics whose intervals are extremely close to one another are "naughty", since this results in higher harmonic entropy. 17 fails this test because 12:17 and 17:24 are extremely close to one another. 11 also runs into problems; 9:11 and 22:27 are very close to one another, as are 8:11 and 11:15. Meanwhile, 13 and 19 perform better in this regard. | * Harmonics whose intervals are extremely close to one another are "naughty", since this results in higher harmonic entropy. 17 fails this test because 12:17 and 17:24 are extremely close to one another. 11 also runs into problems; 9:11 and 22:27 are very close to one another, as are 8:11 and 11:15. Meanwhile, 13 and 19 perform better in this regard; their intervals are spaced apart more evenly. | ||
Overall, while individual opinions may vary, it might be best to consider the 11th harmonic unusually "naughty" or discordant relative to its position, while the 19 is unusually "nice", and the 13 and 17 are somewhere in between. | Overall, while individual opinions may vary, it might be best to consider the 11th harmonic unusually "naughty" or discordant relative to its position, while the 19 is unusually "nice", and the 13 and 17 are somewhere in between. | ||
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The concept of naughtiness and niceness is rather subjective, and some listeners and composers might disagree with my (Mason Green's) analysis and actually enjoy the sound of undecimal intervals. However, as a general rule, I would argue that<br /> | The concept of naughtiness and niceness is rather subjective, and some listeners and composers might disagree with my (Mason Green's) analysis and actually enjoy the sound of undecimal intervals. However, as a general rule, I would argue that<br /> | ||
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<ul><li>Harmonics that can form strong triads or tetrads are &quot;nice&quot;. The 16:19:24 triad sounds very good (it is close to the 12edo minor triad), 17 and 13 can also be used to build triads which sound reasonably good (14:17:21 and 10:13:15, respectively) but 11 cannot. Triads such as 8:11:12 have a lot of &quot;tension&quot; due to the small size of the 11:12.</li><li>Harmonics whose intervals are extremely close to one another are &quot;naughty&quot;, since this results in higher harmonic entropy. 17 fails this test because 12:17 and 17:24 are extremely close to one another. 11 also runs into problems; 9:11 and 22:27 are very close to one another, as are 8:11 and 11:15. Meanwhile, 13 and 19 perform better in this regard.</li></ul><br /> | <ul><li>Harmonics that can form strong triads or tetrads are &quot;nice&quot;. The 16:19:24 triad sounds very good (it is close to the 12edo minor triad), 17 and 13 can also be used to build triads which sound reasonably good (14:17:21 and 10:13:15, respectively) but 11 cannot. Triads such as 8:11:12 have a lot of &quot;tension&quot; due to the small size of the 11:12.</li><li>Harmonics whose intervals are extremely close to one another are &quot;naughty&quot;, since this results in higher harmonic entropy. 17 fails this test because 12:17 and 17:24 are extremely close to one another. 11 also runs into problems; 9:11 and 22:27 are very close to one another, as are 8:11 and 11:15. Meanwhile, 13 and 19 perform better in this regard; their intervals are spaced apart more evenly.</li></ul><br /> | ||
Overall, while individual opinions may vary, it might be best to consider the 11th harmonic unusually &quot;naughty&quot; or discordant relative to its position, while the 19 is unusually &quot;nice&quot;, and the 13 and 17 are somewhere in between.<br /> | Overall, while individual opinions may vary, it might be best to consider the 11th harmonic unusually &quot;naughty&quot; or discordant relative to its position, while the 19 is unusually &quot;nice&quot;, and the 13 and 17 are somewhere in between.<br /> | ||
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