{"query": "Quartz at 32,768 Hz — a power of two on the wrist", "count": 20, "results": [{"id": "card_n_9d42516b140c", "title": "Quartz at 32,768 Hz — a power of two on the wrist", "shelf": "science", "surface": "secular", "snippet": "Every quartz watch cuts a tuning fork to hum at exactly 2^15 = 32,768 Hz, sealed, and\n32768 / 2^15 = 1: run the signal through fifteen binary flip-flops, each halving the frequency,\nand the last ticks"}, {"id": "card_c_1219a284fc2a", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ Powers of two — the binary ladder", "shelf": "connections", "surface": null, "snippet": "run the signal through fifteen binary flip-flops, each halving the frequency, and the last ticks once per second... Time, on the wrist, is counted in powers of two.  — a concord the card itself states"}, {"id": "card_n_b10117556d41", "title": "The two clocks — quartz, cesium, and the second", "shelf": "science", "surface": "secular", "snippet": "The wrist clock and the world clock. Quartz beats 32,768 times a second; the SI second is\nDEFINED as 9,192,631,770 oscillations of cesium-133's hyperfine transition (since 1967) —\nsealed: the cesium c"}, {"id": "card_alm_located_midi_to_frequency", "title": "Almanac: MIDI note to frequency: every key is a power of the twelfth root of two from A440", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Every note a synthesizer or piano can play is a single exact frequency, pinned by one anchor and one formula. music_theory confirmed the map on the standard scale: MIDI note 69 (the A abov"}, {"id": "card_c_45b1fde0f875", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ Oscillator — LC resonance, the bench's own S", "shelf": "connections", "surface": null, "snippet": "It is the highest power of two that stays low-power and stable — the oscillator meeting the divider chain.  — a concord the card itself states; mined + verified."}, {"id": "card_c_c334ba45e1c7", "title": "Quartz at 32,768 Hz — a power of two on the  ↔ The two clocks — quartz, cesium, and the sec", "shelf": "connections", "surface": null, "snippet": "run the signal through fifteen binary flip-flops, each halving the frequency, and the last ticks once per second.  — a concord the card itself states; mined + verified."}, {"id": "card_alm_connection_zeta_even_powers_are_pi", "title": "Almanac: Inverse even powers fold into pi; inverse odd powers escape into mystery -- the two faces of the zeta function", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Sum the inverse powers of the whole numbers and a startling split appears. For every EVEN power, the sum is a rational number times a power of pi: zeta(2) = 1 + 1/4 + 1/9 + ... = pi^2/6 (t"}, {"id": "card_n_91f3b5881075", "title": "Schumann resonance — the Earth-ionosphere cavity, sealed honestly at 7.83 Hz", "shelf": "science", "surface": "secular", "snippet": "The planet is a resonant cavity. Between the ground and the ionosphere, lightning\n(~50 strikes/second worldwide) continuously rings a spherical electromagnetic waveguide; the\nmeasured resonances sit a"}, {"id": "card_n_19b10fa2e595", "title": "Leviticus 16", "shelf": "codex", "surface": "witness", "snippet": "1. The LORD spoke to Moses after the death of the two sons of Aaron, when they came near before the LORD, and died;\n2. and the LORD said to Moses, “Tell Aaron your brother not to come at just any time"}, {"id": "card_n_a84694b9ae04", "title": "Powers of two — the binary ladder", "shelf": "science", "surface": "secular", "snippet": "The numbers a machine counts by, sealed: 2^10 = 1024 (the binary 'kilo'), 2^16 = 65,536\n(a 16-bit word's range), 2^30 = 1,073,741,824 (one GiB): https://narrowhighway.com/s/19df661045aef6fa486083cfbff"}, {"id": "card_src_book_60538", "title": "The Trial of Captain John Kimber, for the Murder of Two Female Negro Slaves, on Board the Recovery, African Slave Ship Tried at the Admiralty Sessions, Held at the Old Baily, the 7", "shelf": "gutenberg", "surface": "secular", "snippet": "The Trial of Captain John Kimber, for the Murder of Two Female Negro Slaves, on Board the Recovery, African Slave Ship Tried at the Admiralty Sessions, Held at the Old Baily, the 7th of June, 1792, by"}, {"id": "card_alm_connection_pythagorean_comma", "title": "Almanac: The Pythagorean comma: twelve pure fifths overshoot seven octaves", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Climb the circle of fifths twelve times -- C, G, D, A, E, B, F#, C#, G#, D#, A#, E#, and back toward C -- and you should land seven octaves above where you began. You do not, and the engin"}, {"id": "card_alm_connection_major_triad_is_overtone_ratios", "title": "Almanac: The major chord is built into sound: harmonics 4:5:6 are the major triad", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  The major chord is not a human invention but a fact of physics that the engine confirmed across three domains. Any vibrating string or air column sounds a fundamental plus a series of harm"}, {"id": "card_src_book_27410", "title": "Travels in France during the years 1814-15 Comprising a residence at Paris, during the stay of the allied armies, and at Aix, at the period of the landing of Bonaparte, in two volu", "shelf": "gutenberg", "surface": "secular", "snippet": "Travels in France during the years 1814-15 Comprising a residence at Paris, during the stay of the allied armies, and at Aix, at the period of the landing of Bonaparte, in two volumes., by Archibald, "}, {"id": "card_k_floor_of_discovery", "title": "The Floor of Discovery — one floor, and by its design the fear of God", "shelf": "codex", "surface": "witness", "snippet": "Seeds of knowledge — identified, categorized, and mapped — form a floor of reality. The Bible and physical reality are unified as the floor of all discovery: Special Revelation and General Revelation "}, {"id": "card_works_music", "title": "The perfect fifth and the pitch of A", "shelf": "the-works", "surface": "secular", "snippet": "From C to G is seven semitones — the perfect fifth; and MIDI note 69 is concert A at exactly 440 Hz. Where mathematics becomes music.  Worked & sealed by the engine — C → G = 7 semitones (a perfect fi"}, {"id": "card_n_440bae73759c", "title": "Exodus 12", "shelf": "codex", "surface": "witness", "snippet": "1. The LORD spoke to Moses and Aaron in the land of Egypt, saying,\n2. “This month shall be to you the beginning of months. It shall be the first month of the year to you.\n3. Speak to all the congregat"}, {"id": "card_alm_connection_pythagoras_shape_and_number", "title": "Almanac: Verified connection — Pythagoras joins shape and number (geometry + arithmetic)", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  A right triangle and an arithmetic identity are the same truth seen two ways. The engine confirmed, by two INDEPENDENT routes, three Pythagorean triples: geometry tested 3-4-5, 5-12-13, an"}, {"id": "card_n_98aaf9f16770", "title": "Hebrews 1", "shelf": "codex", "surface": "witness", "snippet": "1. God, having in the past spoken to the fathers through the prophets at many times and in various ways,\n2. has at the end of these days spoken to us by his Son, whom he appointed heir of all things, "}, {"id": "card_alm_connection_logarithmic_scales_two_witnesses", "title": "Almanac: Decibels and star magnitudes: one logarithm, two senses", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  How loud a sound is and how bright a star is are measured on scales that look unrelated, yet two independent verifiers found the same machinery underneath. The acoustics verifier confirmed"}]}