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Heptatonic Chord List

Don't forget to tell us what color pickguard's gonna look best on that P.
Are we talking RGB or CMYK?

Finding a complementary color is very simple in the RGB model. For any given color, for example, RED (#FF0000), you need to find the color, which, after being added to red, creates white (0xFFFFFF). Naturally, all you need to do, is subtract red from white and get cyan (0xFFFFFF - 0xFF0000 = 0x00FFFF)
 
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Less than 10% of the possibilities for 7 notes sound good to my ears. I will post the full picture for all the scales later, but right now, I am buying more rent houses plus had a tenant sneak out on me and am doing a 4 day turnaround. Plus drafting a contract for fencing .
So you're a mathematician AND a landlord?

Congratulations on contributing LESS than nothing to our society.
 
If they have imaginary friends, then they have a complex problem that is best solved by counterclockwise rotation.

BTW, the three roots of one are 120 degrees apart, 2 complex. The 4 roots of 1 has 4 roots and two are complex. What are the 5th roots?

The real question is how many distinct roots are there? In other words, one can easily count roots - including coincidental roots - given the degree of a polynomial, but the count and values of distinct roots allows one to use the data.

As I have pointed out before in other threads:

-4^(1/2) = +- 2

It’s all fun and games until someone loses an i.
 
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I'm a programmer by day, have had many advanced math classes, etc, I have no idea what is being presented here. Glad it works for you
There is a nice book called Concrete Mathematics by Ron Graham which you can download for free. Its on my read list but behind two other discrete math books right now,As a computer programmer, you might enjoy it.
 
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It seems to me you are missing the harmonic major scale (= 1 2 3 4 5 b6 7) and its modes. It's actually a useful scale: its 3rd mode (= 1 b2 b3 3 5 b6 b7) sounds really nice over a V7(b9 #9 b13) chord in minor key.
CONGRATULATIONS: YOU CAUGHT AN OMISSION FROM IAN RINGS LIST!!!

2485 Harmonic Major 1 2 3 4 5 b6 7
1643 Locrian Natural 6 1 2 b3 4 b5 6 b7
1433 Dynimic 1 b2 b3 3 5 b6 b7
2763 Mela Suvarnangi 1 2 b3 b5 5 6 7
1713 Raga Khamas 1 b2 3 4 5 6 b7
2901 Lydian Augmented 1 b3 3 b5 b6 6 7
871 Hungarian Romani Minor 4th Mode 1 b2 b3 4 b5 b6 6

It was on my personal list because I count up from 1 to 4095 , then match it to names in Ian's list.
 
Revised short list of favorite Heptatonic scales

2741 MAJOR
1709 Dorian
1451 Phrygian
2773 Lydian
1717 Mixolydian
1453 Aeolian
1387 Locrian
2733 MELODIC MINOR ASCENDING
1707 Dorian Flat 2
2901 Lydian Augmented
1749 Lydian Dominant
1461 Mixolydian b6
1389 Aeolian b5
1371 Superlocrian
2477 HARMONIC MINOR
1643 Locrian Natural 6
2869 Major Augmented
1741 Lydian Diminished
1459 Phrygian Dominant
2777 Aeolian Harmonic
859 Ultralocrian
2485 HARMONIC MAJOR
1643 Locrian Natural 6
1433 Dynimic
2763 Mela Suvarnangi
1713 Raga Khamas
2901 Lydian Augmented
871 Hungarian Romani Minor 4th Mode
2483 DOUBLE HARMONIC
3289 Lydian Sharp 2 Sharp 6
923 Ultraphrygian
2509 Double Harmonic Minor
1651 Asian
2873 Ionian Augmented Sharp 2
871 Hungarian Romani Minor 4th Mode
2485 HARMONIC MAJOR
1643 Locrian Natural 6
1433 Dynimic
2763 Mela Suvarnangi
1713 Raga Khamas
2901 Lydian Augmented
871 Hungarian Romani Minor 4th Mode
2475 NEAPOLITAN MINOR
3285 Mela Citrambari
1845 Lagian
1485 Minor Romani
1395 Locrian Dominant
2745 Mela Sulini
855 Porian
1273 HEPTATONIC BLUES
671 Stycrian
2383 Katorian
3239 Mela Tanarupi
3667 Kaptian
3881 Morian
997 Rycrian
1493 LYDIAN MINOR
1397 Major Locrian
1373 Storian
1367 Leading Whole-Tone Inverse
2731 Neapolitan Major
3413 Leading Whole-tone
1877 Aeroptian
1753 HUNGARIAN MAJOR
731 Alternating Heptamode
2413 Harmonic Minor Flat 5
1627 Hungarian Major 4th Mode
2861 Hungarian Major 5th Mode
1739 Mela Sadvidhamargini
2917 Nohkan Flute Scale
2509 DOUBLE HARMONIC MINOR
1651 Asian
2873 Ionian Augmented Sharp 2
871 Hungarian Romani Minor 4th Mode
2483 Double Harmonic
3289 Lydian Sharp 2 Sharp 6
923 Ultraphrygian
2731 NEAPOLITAN MAJOR
3413 Leading Whole-tone
1877 Aeroptian
1493 Lydian Minor
1397 Major Locrian
1373 Storian
1367 Leading Whole-Tone Inverse
 
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The real question is how many distinct roots are there? In other words, one can easily count roots - including coincidental roots - given the degree of a polynomial, but the count and values of distinct roots allows one to use the data.

As I have pointed out before in other threads:

-4^(1/2) = +- 2

It’s all fun and games until someone loses an i.
Wouldnt you have lost 2 eyes.
-4^(1/2) = 2i
 
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