Not sure if this is what you are looking for but MPS posted this on the actinic thread.
We need to focus less on saying 10k, 12k, 20k etc. You want to provide light in the proper spectrums first off, regardless of appearance. That means the light has to be intense enough at the proper wavelengths for the zooxanthellae in the coral.
The image below shows the absorption spectrums of zooxanthellae.
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So first thing you want to make sure your light provides sufficient intensity at the peaks shown above for your coral to live and grow.
Next people generally want some type of flourescence to show up in their corals, different corals have different proteins that reflect light back at different wavelengths giving them that "pop."
This article is great at explaining the different proteins and what spectrum they are excited at:
Advanced Aquarist's Online Magazine - Feature Article: Coral Coloration: Fluorescence: Part 1
Excitation wavelength / Emission wavelength -- protein name
Blue Fluorescent Proteins
383 / 445 -- EBFP
399 / 511 -- Sapphire
399 / 511 -- T-Sapphire
Cyan Fluorescent Proteins
439 / 476 -- ECFP
433 / 475 -- mCFP
433 / 475 -- Cerulean
435 / 477 -- CyPet
458 / 489 -- AmCyan1
472 / 495 -- Midori-Ishi Cyan
462 / 492 -- mTFP1 (Teal)
Green Fluorescent Proteins
484 / 507 -- EGFP
480 / 505 -- AcGFP
482 / 502 -- TurboGFP
487 / 509 -- Emerald
492 / 505 -- Azami Green
493 / 505 -- ZsGreen
Yellow Fluorescent Proteins
514 / 527 -- EYFP
514 / 527 -- Topaz
515 / 528 -- Venus
516 / 529 -- mCitrine
517 / 530 -- YPet
525 / 537 -- PhiYFP
529 / 539 -- ZsYellow1
540 / 553 -- mBanana
Orange and Red Fluorescent Proteins
548 / 559 -- Kusabira Orange
548 / 562 -- mOrange
554 / 581 -- dTomato
554 / 581 -- dTomato-Tandem
558 / 583 -- DsRed
563 / 582 -- DsRed2
555 / 584 -- DsRed-Express (T1)
556 / 586 -- DsRed-Monomer
568 / 585 -- mTangerine
574 / 596 -- mStrawberry
576 / 592 -- AsRed2
584 / 607 -- mRFP1
584 / 610 -- JRed
587 / 610 -- mCherry
588 / 618 -- HcRed1
598 / 625 -- mRaspberry
590 / 637 -- HcRed-Tandem
590 / 649 -- mPlum
595 / 655 -- AQ143
In brief, light at the excitation wavelength will result in an emission (the glow) at the emission wavelength. So you'd like to have peaks at those wavelengths if you have corals with the proteins that excite at that wavelength.
Light at other spectrum is there simply to increase your viewing pleasure. It is difficult to view your tank when it only appear blue or purple