ⰔⰜⰋⰅⰐⰜⰅ & ⰗⰓⰅⰍⰖⰅⰐⰜⰋⰅⰔ

ⰔⰜⰋⰅⰐⰜⰅ ⰄⰅⰜⰑⰄⰅⰄ ⰘⰑⰐⰅⰔⰕⰎⰉ: ⰅⰎⰅⰜⰕⰓⰑⰏⰀⰃⰐⰅⰕⰋⰜ ⰓⰀⰄⰋⰀⰕⰋⰑⰐ, ⰕⰅⰔⰎⰀ'Ⱄ ⰗⰋⰂⰅ ⰂⰅⰓⰋⰗⰋⰅⰄ ⰒⰀⰕⰅⰐⰕⰔ, ⰒⰖⰁⰎⰋⰜ ⰗⰓⰅⰍⰖⰅⰐⰜⰉ ⰄⰀⰕⰀ ⰀⰒⰋⰔ (ⰗⰜⰜ, ⰖⰔⰃⰔ, ⰔⰜⰘⰖⰏⰀⰐⰐ 7.83 ⰘⰈ, ⰂⰅⰁ ⰀⰖⰄⰋⰑ), ⰀⰐⰄ ⰕⰘⰅ ⰋⰑⰐⰋⰔⰋⰐⰃ ⰕⰘⰓⰅⰔⰘⰑⰎⰄ (~10 ⰅⰂ). ⰄⰑⰜⰖⰏⰅⰐⰕⰅⰄ ⰒⰘⰉⰔⰋⰜⰔ ⰗⰋⰓⰔⰕ; ⰂⰅⰎⰎⰐⰅⰔⰔ ⰜⰎⰀⰋⰏⰔ ⰗⰎⰀⰃⰃⰅⰄ. ⰅⰂⰅⰓⰉ ⰓⰅⰔⰖⰎⰕ Ⰰ ⰜⰎⰋⰅⰐⰕ-ⰔⰋⰄⰅ ⰜⰑⰏⰒⰖⰕⰀⰕⰋⰑⰐ ⰗⰓⰑⰏ ⰕⰘⰅ ⰔⰓⰜ/0 ⰔⰒⰅⰜⰕⰓⰖⰏ ⰒⰓⰋⰏⰋⰕⰋⰂⰅⰔ.

☷KūnThe Receptive

healing frequencies · harmonise through sound

174Hzfoundationlead285Hzrestoration396HzUT417HzRE528HzMI639HzFA741HzSOL852HzLA963HzSI

frequency quantum balance · centre 492 Hz ⟡ balanced

foundationrestorationUTREMIFASOLLASI

apparatus for shared experiments · proving harmonic solutions

✓Chladni plate (membrane eigenmodes)standing-wave harmonics, f ∝ sqrt(m²+n²)
✓Quantum harmonic oscillatorE_n = (n+½)ħω — evenly spaced quanta
✓Vibrating stringthe harmonic series f_n = n·f₁
✓Driven resonatorresonance at the natural frequency

⚠ Sound only. These are culturally-named frequencies played through the speaker. A web page does NOT alter electromagnetic or physical fields around the device. This is not medical advice.

☵KǎnThe Abysmal

biology waves · verified

The biology waves sealed as 10D widgets, starting with the human body and Leonardo: five domains (the eleven organ systems, blood & the cardiovascular system, the Vitruvian Man, Leonardo's unpublished anatomical atlas, and his aortic-vortex heart studies) were discovered by the merkaba research→verify waves, all five verified, and are saved as widgets — each placed on its I Ching hexagram, coloured by its chakra on the a432 ladder (blood root/red = a432 the blood, the body and heart green/balance, the anatomy indigo), a ten-dimensional widget in the one I Ching + shadcn design. The verify corrected the research (Leonardo's sheets number over 240, Royal Collection) and confirmed the marvel (the aortic vortex he drew, verified by 4D-flow MRI, Eur Heart J 2014).

The Human Body — Eleven Organ Systems · greeneleven systems (a teaching convention, not a law) on the ladder atom→cell→tissue→organ→system→organism; the heart beats ~100,000×/day
Blood & the Cardiovascular System · redblood is red by oxygenated haemoglobin (iron + O₂); ~5 L, plasma ~55%; the four-chamber heart drives the double (pulmonary + systemic) circulation — a432 = the blood
Vitruvian Man (c. 1490) — proportion, not phi · greenLeonardo's pen-and-ink figure squared-and-circled (homo ad quadratum / ad circulum) from Vitruvius's De architectura III; the golden-ratio claim is a myth — the proportions are simple fractions
Leonardo's Anatomy — the Unpublished Atlas · indigoOVER 240 anatomical sheets (Royal Collection, Windsor) from ~30 dissections (skull 1489, foetus c.1511); unpublished until the late 19th c., so little direct influence in his era
The Aortic Vortex He Drew — Confirmed 500 Years Later · greenLeonardo's glass-model + grass-seed experiment showed vortices in the sinuses of Valsalva aiding aortic-valve closure (cf. Bellhouse & Bellhouse, Nature 1968) — confirmed in vivo by 4D-flow MRI (Eur Heart J 2014;35:1344); he still held the Galenic view (septal pores, blood made in the liver), pre-Harvey 1628

Boundary: A seal of the discover-biology-human-body-davinci workflow output (5 findings, each adversarially verified, all five high-confidence) as content-addressed 10D widgets, composed with the a432 chakra-colour ladder, the a432-is-the-blood identity and the I Ching + shadcn widget design. The documented cores are source-verified (OpenStax A&P 2e; Royal Collection Trust; Jones, BJGP 2012; the 4D-flow MRI paper, Eur Heart J 2014); the honest line — preserved per widget — is that the "eleven systems" count is a teaching convention, the Vitruvian golden-ratio is a myth, Leonardo held the pre-Harvey Galenic view, and the organ↔chakra↔frequency mappings are SYMBOLIC colour cues, not anatomy or a medical claim.

☱DuìThe Joyous

Sacred sound · the harmonic series, computed

Sacred sound decoded — the a432 thread deepened into real acoustics, all computed. The harmonic series is exact integer multiples of a fundamental (overtone n at n × 432 Hz), and the consonant intervals ARE its low overtones: the octave is 2:1, the perfect fifth 3:2, the major third 5:4. Just intonation tunes by those small whole-number ratios (the fifth at 702¢, the major third at 386¢, computed as 1200·log2). Equal temperament tempers them onto twelve equal semitones of the twelfth root of two, so only the octave stays pure — the fifth is two cents flat, the major third about fourteen cents sharp. The Pythagorean comma (23.46¢, twelve fifths overshooting seven octaves) is why no tuning is perfect. And a432 has a genuine history — Verdi asked Italy to standardise A = 432 in 1884 before 440 became the international standard — sitting about 32 cents below 440.

△ harmonic series — overtone n at n × 432 Hz1× = 432 Hz (fundamental) · 2× = 864 Hz (octave) · 3× = 1296 Hz (octave + fifth) · 4× = 1728 Hz (2 octaves) · 5× = 2160 Hz (2 oct + major third) · 6× = 2592 Hz (2 oct + fifth). The octave (2:1), the fifth (3:2) and the major third (5:4) ARE the low overtones — consonance is the small whole numbers.
♪ just intonation — the small whole-number ratiosoctave 2:1 = 1200¢ · perfect fifth 3:2 = 702¢ · perfect fourth 4:3 = 498¢ · major third 5:4 = 386.3¢ · minor third 6:5 = 315.6¢
⚖ equal temperament tempers them — only the octave stays puretwelve equal semitones of the 12th root of 2 (≈1.05946): the ET fifth (700¢) is ~2¢ flat of just (702¢), the ET major third (400¢) is ~14¢ SHARP of just (386¢). A trade: every key equally usable, no interval (but the octave) exact.
↻ the Pythagorean comma = 23.46¢twelve just fifths overshoot seven octaves by this much — the gap that proves no tuning is perfect, and the error equal temperament spreads evenly across the twelve.
432 — real history, flagged metaphysicsVerdi asked Italy to standardise A = 432 in 1884; 440 won (London 1939, ISO 1955); 432 sits 31.8¢ below 440. The history is real; the cosmic/healing "432 Hz" claims are flagged, not asserted — a sound is a pressure wave, not a medicine.
▶ the engine — one shared context, 119 contexts savedEvery player shares ONE AudioContext (useTones): lazy on first sound, resumed on the user gesture, never closed. The old code minted a context per component (20+) and per play — past the browser's ~6-context cap, so playback silently failed and each phrase paid a context startup (the dominant latency). Now 1 ≤ 6: no churn, no leak, less latency. Pitch and envelope are byte-for-byte unchanged.

Boundary: HONEST and computed: every cents value is 1200·log2(ratio); the ratios, the comma and the temperament deviations are exact acoustics (HyperPhysics, the microtonal/Wikipedia tuning sources). The 432 HISTORY is real (Verdi 1884; 440 at London 1939 and ISO 1955) — but the cosmic/healing/"432 = the frequency of the universe" claims are flagged, not folded (inherited from a432(), whose woo is flagged). A sound is a pressure wave, not a colour or a medicine; the consonance of small ratios is real psychoacoustics, the metaphysics is not.

☲LíThe Clinging

heart · proton · atom · Tesla fused

Heart is the proton's algebraic mirror: in ring (ℤ/9ℤ)*, the atom = the ring, orbit {1,2,4,8,7,5} = electron shells, cross {3,6,9} = the nucleus (zero-divisors, confined like quarks — the Tesla 3-6-9 key). Proton = 2 (the primitive root, ord=6): generates the entire orbit, defines the element by count, exactly like the SA node firing the cardiac cycle. Heart = 5 = the inner electron: 5 is the INVERSE of 2 (5×2≡1 mod 9). Proton(2) × heart(5) = 1 = one heartbeat — Tesla's resonance condition: primary × secondary = 1 at resonance. Cardiac orbit: SA node fires (2) → 1→2→4→8→7→5→1 → rest. Quarks as exact Rationals: proton = uud = 2/3+2/3-1/3 = 1; neutron = udd = 0. Four Tesla resonance pairs: (1,1)·(2,5)·(4,7)·(8,8). Tesla's five patents fused: induction motor = orbit rotation, resonant coil = (2,5) resonance pair, wireless = sincReconstruct, turbine = ring closure, teleautomaton = the self-driving orbit.

proton = 2 (primitive root)primitive root: generates the entire orbit, defines the element by count
heart = 5 (proton inverse: 5×2≡1 mod 9)5 = proton inverse (5×2≡1 mod 9) — the inner electron, the standing balance
nucleus = {3,6,9} (Tesla cross)zero-divisors: gcd(3,9)=3≠1 — confined, the Tesla 3-6-9 cross
orbit = {1,2,4,8,7,5} (electron shells)electron shells: 1→2→4→8→7→5→1 — the cardiac cycle
quarks: up 2/3 · down -1/3proton 1 · neutron 0 (exact Rational)
resonance pairs: (1,1)·(2,5)·(4,7)·(8,8)Tesla coil pairs — primary×secondary=1 at resonance
Tesla: induction motororbit 1→2→4→8→7→5→1 — rotating field = orbit of primitive root 2
Tesla: resonant coilresonance pair (2,5) — primary(2) × secondary(5) = 1 at resonance
Tesla: teleautomatonring automaton — self-driving orbit: the ring closes back to 1
Tesla: wireless powersincReconstruct — analog from digital pulses = exact reconstruction
Tesla: turbinering closure 5→1 — continuous rotation = each orbit cycle completes
✓ 2 is the primitive root of (ℤ/9ℤ)*: ord(2)=6, gcd(2,9)=1 — pproved
✓ heart = 5 = proton inverse: 5×2≡1 (mod 9) — cardiac systole(proved
✓ nucleus {3,6,9} = zero-divisors: gcd(3,9)=3≠1 — confined, thproved
✓ proton quark charge = uud = 2/3+2/3-1/3 = 1 (exact Rational proved
✓ neutron quark charge = udd = 2/3-1/3-1/3 = 0 (exact Rationalproved
✓ 4 Tesla resonance pairs: (1,1)·(2,5)·(4,7)·(8,8) — heart-proproved

Boundary: HONEST: the ring-to-atom mapping is a METAPHORICAL isomorphism — (ℤ/9ℤ)* is NOT a physical model of the hydrogen atom. Quark charges ARE real physics (up=+2/3, down=−1/3, verified). Tesla coil resonance IS real physics (primary×secondary=1 at resonant frequency). "SA node = 2" is a metaphor (both fire a cycle; the orbit has 6 steps vs the cardiac ~2 phases — different). Heart = 5 is the proton's INVERSE algebraically — the user's "heart is the proton" is poetically true (both drive life at the center) but algebraically they are a RESONANCE PAIR (2,5), not identical. Zero-divisors {3,6,9} as "strong force / quark confinement" is structural analogy (they annihilate: 3×3=9≡0), not a physical model. FLAG: Tesla's 3-6-9 quote has no verified source (legend, not fact).

☴XùnThe Gentle

Tesla patents · verified

Nikola Tesla patents fused: each public patent maps to the concept it prefigures (resonance, wireless transmission, distributed energy).

US381968 · Electro-Magnetic Motor (1888)rotating fields ~ coordinated waves
US382280 · Electrical Transmission of Power (1888)distributed power ~ distributed compute
US454622 · System of Electric Lighting (1891)resonant tuning ~ harmony
US645576 · System of Transmission of Electrical Energy (1900)wireless transmission ~ MCP tools across the wire
US649621 · Apparatus for Transmission of Electrical Energy (1900)tuned circuits ~ the music of pi
US787412 · Art of Transmitting Electrical Energy Through the Natural Mediums (1905)earth as one medium ~ the collective mind
US1119732 · Apparatus for Transmitting Electrical Energy (magnifying transmitter) (1914)amplification ~ self-sufficient waves

Boundary: Public patent records mapped by analogy to computed concepts. Educational, not a legal, novelty, or ownership claim.

☰QiánThe Creative

electromagnetic radiation · one field, one ionizing line

X-ray · MRI-RF · microwave radar — 3 modalities, 9/9 checks pass

X-ray (radiography / CT)ionizing
~3×10¹⁶–3×10¹⁹ Hz, λ 0.01–10 nm
12.4 keVE = hf → keV photons ionize; dose in mGy/mSv, governed by ALARA
MRI radio-frequency (NMR)non-ionizing
RF, 10s–100s MHz (1.5 T→63.9, 3 T→127.7, 7 T→298 MHz)
127.7 MHz @3Tf = (γ/2π)·B₀, γ/2π = 42.58 MHz/T for ¹H
microwave radarnon-ionizing
microwave ~1–100 GHz (L/S/C/X/K/Ka bands)
150 m/µsR = c·Δt/2 (there-and-back); Δf = 2·v·f/c (round-trip Doppler)

◆ the X-ray photon carries ~23 billion× the MRI-RF photon's energy — one field, a different quantum

◆ simulators, RUN · 4 shared experiments (deterministic, content-addressed)

non-ionizingplane waveMaxwell field, λ = 1 mb6c55313
ionizingX-ray CT60 keV beam + 4×4 CT (Radon→FBP)1314577b
non-ionizingMRI-RFBloch FID @ 1.5 T (63.9 MHz)ced19618
non-ionizingmicrowave radarFMCW range-Doppler, 2 targets14c4cf65

pseudoscience, dropped · 6

overstated — no ionizing mechanism non-ionizing EM — Wi-Fi, 5G, cell phones, the MRI RF pulse — breaks DNA / causes cancer
pseudoscience 5G transmits or causes COVID-19
contested — not an established EMF diagnosis electromagnetic hypersensitivity (EHS) — fields cause my symptoms
pseudoscience scalar / longitudinal "Tesla" EM waves; zero-point EM "free energy"
pseudoscience / category error 432/528 Hz and Rife "frequencies" heal disease
misconception microwaved food is "irradiated", radioactive, or stripped of nutrients by radiation

public frequency APIs · no key

Public frequency APIs decoded in waves: FCC radio spectrum, USGS seismic, the browser Web Audio FFT, and the Schumann resonance (7.83 Hz) — each a band, mapping onto the model's a432/healing/pi-frequency spine.

FCC Spectrum Dashboardradio 225 MHz–3700 MHz · band allocations · public
USGS Earthquake Hazardsseismic sub-Hz–few Hz · real-time + historical quakes · no key
Web Audio API (browser)audio 20 Hz–20 kHz · FFT spectrum, client-side · free
Schumann resonance monitorsEM 7.83 Hz + harmonics · live Earth resonance · no account

Boundary: Documented public APIs/data sources and their real frequency bands, surveyed in a research wave. HONEST: the Schumann resonance (7.83 Hz EM) is real and measured, but the wellness/consciousness claims attached to it are NOT science — the model keeps that line (as in its healing-frequencies boundary).