ध्यानम् · breath-timing instrument

Dhyāna — a breath timer

Six classical prāṇāyāma modes keyed to the engine's Ψ-cycle 1→2→4→8→7→5. The timer computes the rhythm; the Haṭha-Yoga-Pradīpikā (Ch. 2) and Taittirīya-Upaniṣad (2.1–2.5) provide the form. Timing only — no health claims, no accounts, no server log.

What this is — and is not

विधि-शुद्धिः · vidhi-śuddhi

It is

A timer. A structural discipline-aid with classical-text citations, paced by the engine's period-6 Ψ-cycle.

It is not

A wellness app, a health intervention, a guided-meditation offering, or a subscription. Nothing is promised; nothing is logged.

We compute the rhythm; you do the practice · no outcomes promised · session count stays on this device only.

Today's suggested mode

day-of-year mod 6 + 1

step 5 · Ψ = 7

सप्त-स्वर-जपः

Sapta-svara-japa · Seven-note japa cycle · 4·0·4·0 × 7 (Ṣaḍja → Niṣāda)

Seven-fold japa-anchored breath tracking the seven svaras of the Sāma-Vedic gāmaka — ṣaḍja · ṛṣabha · gāndhāra · madhyama · pañcama · dhaivata · niṣāda. The Saṅgīta-Ratnākara (Śārṅgadeva · c.1250 CE) Ch. 1 treats the seven svaras as the foundational tonal lattice.

0:56 session · 7 rounds · Saṅgīta-Ratnākara (Śārṅgadeva) Ch. 1 · Svara-gata-adhyāya

Six breath modes

षट्-प्राणायाम-विधयः · one per Ψ-step

Why these six — the Ψ-cycle

Ψ(n) = 2ⁿ mod 9 · period 6

The engine's master equation Ψ(n) = 2ⁿ mod 9 generates a six-step cycle: 1 → 2 → 4 → 8 → 7 → 5. Each step's Ψ-value names a classical breath mode whose structural parameter — retention ratio, round count, or sheath count — matches that value directly.

step 1 · Ψ = 1समवृत्ति-प्राणायामःΨ(0)=1 — the identity step. The cycle's fixed-point exhibits perfect symmetry, so the breath ratio is 1:1:1:1.

step 2 · Ψ = 2द्विगुण-कुम्भकःΨ(1)=2 — the first non-identity step. The retention doubles, matching the Ψ-value of 2.

step 3 · Ψ = 4चतुर्गुण-कुम्भकःΨ(2)=4 — the second doubling. Retention quadruples, matching the Ψ-value of 4.

step 4 · Ψ = 8अष्टगुण-नाडी-शोधनम्Ψ(3)=8 — the third doubling. Eight rounds match the Ψ-value of 8.

step 5 · Ψ = 7सप्त-स्वर-जपःΨ(4)=7 — the cycle's first descent. Seven svaras match the Ψ-value of 7 directly.

step 6 · Ψ = 5पञ्च-कोश-ध्यानम्Ψ(5)=5 — the cycle's closing step before returning to 1. Five sheaths match the Ψ-value of 5 directly.

The Ψ-cycle is exact algebra · the breath-mode pairing is structural provenance from the cited texts — tradition, not a measured claim.

Continue

adjacent instruments

TODAYDaily practiceToday's pañcāṅga, nakṣatra-mantra, and a reading from the library.Open →CLOCKVedic ghaḍīThe same Ψ-cycle expressed as saṃvatsara · ṛtu · muhūrta · ghaṭī · prāṇa.Open →MANTRAS27 nakṣatra-mantrasFor those who pair breath practice with classical recitation.Open →

bharat-ephemeris-web · v∞.4 · (R,g,k)=(ℤ/3³³⁷ℤ,2,k=337) · published: 230 props · 83/83 (DOI 10.5281/zenodo.20024273 v3) · internal: 890 · 805/805 (pub. pending) · MK-Ayanāṃśa · sealed 2026-05-11