Beyond AUM: The Acoustics of the Fourth Element

The Vedic syllable AUM is phonetically notated with three segments — A, U, M — but the Indian tradition has insisted, for over two millennia, that the syllable contains a fourth element beyond the three audible phonemes: the turīya of the Māṇḍūkya Upaniṣad, the bindu of the visual symbol ॐ, the anāhata nāda (“unstruck sound”) of the Yoga Upaniṣads. This paper reports a spectrographic observation made during the sustained nasal murmur /m/ of AUM, performed by the author as a single sustained vocalisation on one exhalation (f0 ≈ 110 Hz) and analysed with VoceVista Video. When the tongue body advances slowly from its retracted /u/ position toward firm contact with the palate, the /m/ phase is not acoustically inert: the spectrogram reveals a continuous reorganisation of the upper formant structure in which F2 rises from ≈600 Hz to ≈2640 Hz (the 24th harmonic, a perfect fifth above the fundamental in just intonation), F3 rises from ≈2500 Hz to ≈3700 Hz, and the nasal anti-resonance, a travelling band of spectral silence, rises from ≈500 Hz to ≈3000 Hz. At the moment the lips close, a fourth, steady spectral peak appears at ≈1800 Hz and persists throughout, independent of tongue motion, consistent with N3, the third resonance of the pharyngo-nasal tube (Fujimura 1962; Stevens 1998). The rising anti-resonance and the rising F2 converge precisely at this location at approximately 1800 Hz, producing a brief deep attenuation of F2 before it recovers and continues upward. The paper distinguishes two recorded variants of sustained /m/: an inert /m/ with stationary anti-resonance, and a living /m/ with the three-trajectory reorganisation described above. The contrast is offered, with appropriate humility, as an acoustic analogue of what the Indian tradition calls the āhata/anāhata distinction, and the living trajectory is offered as a possible acoustic correlate, at the threshold of what the tradition has long described as the fourth element of AUM. Keywords: AUM, OM, formant trajectory, nasal anti-resonance, pole–zero crossing, N3 nasal formant, vocal tract acoustics, anāhata nāda, turīya, bindu, spectrographic analysis, VoceVista, pneumatic sweep