Ψ-cycle · 1 → 2 → 4 → 8 → 7 → 5 → 1

ध्यानम्

Dhyāna

Substrate-Anchored Breath Practice

Six modes · One Ψ-cycle · Haṭha-Yoga-Pradīpikā Ch. 2 anchored
विधि-शुद्धिः
Vidhi-śuddhi · Tier-W discipline
What this tool IS and what it IS NOT
अयं समय-यन्त्रम् केवलम् · फल-वचनं न क्रियते।

This is a timing-discipline tool only. The substrate's Ψ-cycle provides the rhythm; the Haṭha-Yoga-Pradīpikā (Ch. 2) and Taittirīya-Upaniṣad (2.1–2.5) provide the form. We do NOT make health claims. We do NOT promise outcomes. We compute the rhythm; you do the practice.

IS — a timer · a structural discipline-aid · classical-text citations · the substrate's rhythm.
IS NOT — a wellness app · a health intervention · a guided meditation offering · an account or subscription.
Provenance-tagged · cultural reference · no algebraic claim
अद्य-निर्देशः
Adya-nirdeśa · Today's suggested mode
One mode per day, rotating through the Ψ-cycle
live
Step 2 · Ψ = 2Day-of-year mod 6 + 1
द्विगुण-कुम्भकः
Dviguṇa-kumbhaka · Double retention · 4·8·4·4

The 1:2:1:1 ratio — antar-kumbhaka is doubled relative to pūraka. Haṭha-Yoga-Pradīpikā 2.46 marks this as the second mātrā-rung; classical practice treats the doubling of retention as the first ascent above the sama baseline.

3:00 session · 9 rounds · Haṭha-Yoga-Pradīpikā (Svātmārāma) Ch. 2 · Prāṇāyāma-prakaraṇa

षट्-प्राणायाम-विधयः · Six Breath Modes

One mode per Ψ-step. Each is classically anchored. Pick any — the day's suggestion is highlighted above.

समवृत्ति-प्राणायामः
Samavṛtti-prāṇāyāma
Equal-ratio breath · 4·4·4·4 (sama box-breath)
Step 1 · Ψ = 1

The 1:1:1:1 ratio — the foundation breath where pūraka, antar-kumbhaka, recaka, and bāhya-kumbhaka are held equal. Haṭha-Yoga-Pradīpikā 2.45 treats this as the gateway practice before any guṇa-ratio is introduced.

Phases4·4·4·4 sec
Cycle0:16
Rounds12
Total session3:12
Classical anchor
Haṭha-Yoga-Pradīpikā (Svātmārāma) · Ch. 2 · Prāṇāyāma-prakaraṇa · 2.7–2.10, 2.45
Sama-vṛtti — equal duration in all four phases of breath; counted as the introductory mātrā-discipline before guṇa-ratios.
structural rhythm anchor · classical-text form
Begin timer →
द्विगुण-कुम्भकः
Dviguṇa-kumbhaka
Double retention · 4·8·4·4
Step 2 · Ψ = 2Today

The 1:2:1:1 ratio — antar-kumbhaka is doubled relative to pūraka. Haṭha-Yoga-Pradīpikā 2.46 marks this as the second mātrā-rung; classical practice treats the doubling of retention as the first ascent above the sama baseline.

Phases4·8·4·4 sec
Cycle0:20
Rounds9
Total session3:00
Classical anchor
Haṭha-Yoga-Pradīpikā (Svātmārāma) · Ch. 2 · Prāṇāyāma-prakaraṇa · 2.45–2.50
Dviguṇa — the second mātrā-rung where antar-kumbhaka is twice the pūraka mātrā; the first guṇa-step above sama-vṛtti.
structural rhythm anchor · classical-text form
Begin timer →
चतुर्गुण-कुम्भकः
Caturguṇa-kumbhaka
Quadruple retention · 4·16·4·4
Step 3 · Ψ = 4

The 1:4:1:1 ratio — antar-kumbhaka is quadrupled relative to pūraka. Haṭha-Yoga-Pradīpikā 2.49 treats this 1:4:2 / 1:4:1 family as the saṃyama-range; verse 2.71 describes its kuṇḍalinī-related framing. Only attempt with prior preparation.

Phases4·16·4·4 sec
Cycle0:28
Rounds6
Total session2:48
Classical anchor
Haṭha-Yoga-Pradīpikā (Svātmārāma) · Ch. 2 · Prāṇāyāma-prakaraṇa · 2.49, 2.71–2.74
Caturguṇa — quadruple retention; the classical advanced mātrā-rung, traditionally entered only after the dviguṇa stage is settled.
structural rhythm anchor · classical-text form
Begin timer →
अष्टगुण-नाडी-शोधनम्
Aṣṭaguṇa-nāḍī-śodhana
Eight-round alternate-nostril channel-cleansing · 4·4·4·4 × 8
Step 4 · Ψ = 8

Nāḍī-śodhana — alternate-nostril breath that classical sources (HYP 2.7–2.10) describe as 'iḍā-piṅgalā-śodhana', the cleansing of the left and right channels. Eight rounds are timed by the substrate's step-4 Ψ-value of 8.

Phases4·4·4·4 sec
Cycle0:16
Rounds8
Total session2:08
Classical anchor
Haṭha-Yoga-Pradīpikā (Svātmārāma) · Ch. 2 · Prāṇāyāma-prakaraṇa · 2.7–2.10
Iḍā-piṅgalā-śodhana — alternate-nostril breath as the standard 'channel-cleansing' kriyā; described as preliminary to all guṇa-ratio prāṇāyāma.
structural rhythm anchor · classical-text form
Begin timer →
सप्त-स्वर-जपः
Sapta-svara-japa
Seven-note japa cycle · 4·0·4·0 × 7 (Ṣaḍja → Niṣāda)
Step 5 · Ψ = 7

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.

Phases4·4 sec
Cycle0:08
Rounds7
Total session0:56
Classical anchor
Saṅgīta-Ratnākara (Śārṅgadeva) · Ch. 1 · Svara-gata-adhyāya · 1.3.7–1.3.15
The seven svaras — sa · ri · ga · ma · pa · dha · ni — as the canonical tonal lattice of Vedic gāmaka; one svara per breath-cycle gives the classical sapta-svara japa-anchor.
structural rhythm anchor · classical-text form
Begin timer →
पञ्च-कोश-ध्यानम्
Pañca-kośa-dhyāna
Five-sheath contemplation · 6·6·6·6 × 5 (annamaya → ānandamaya)
Step 6 · Ψ = 5

Taittirīya-Upaniṣad 2.1–2.5 (Brahmānanda-vallī) enumerates the five sheaths: annamaya · prāṇamaya · manomaya · vijñānamaya · ānandamaya. One slow 24-second sama-vṛtti cycle is held while attention rests on each kośa in turn — five cycles, one per sheath.

Phases6·6·6·6 sec
Cycle0:24
Rounds5
Total session2:00
Classical anchor
Taittirīya-Upaniṣad · Brahmānanda-vallī · 2.1–2.5 · 2.1.3, 2.2.1, 2.3.1, 2.4.1, 2.5.1
The pañca-kośa enumeration — annamaya, prāṇamaya, manomaya, vijñānamaya, ānandamaya — as the canonical five-sheath model.
structural rhythm anchor · classical-text form
Begin timer →
स्फोट-चक्रः · डिजाइन-न्यायः
Sphoṭa-cakraḥ · Design rationale
Why these six modes — the Ψ-cycle as breath-rhythm anchor

The substrate's master equation Ψ(n) = 2ⁿ mod 9 generates a 6-step cycle. 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 1Ψ = 1
समवृत्ति-प्राणायामःΨ(0)=1 — the identity step. The cycle's fixed-point exhibits perfect symmetry, so the breath ratio is 1:1:1:1.
Step 2Ψ = 2
द्विगुण-कुम्भकःΨ(1)=2 — the first non-identity step. The retention doubles, matching the Ψ-value of 2.
Step 3Ψ = 4
चतुर्गुण-कुम्भकःΨ(2)=4 — the second doubling. Retention quadruples, matching the Ψ-value of 4.
Step 4Ψ = 8
अष्टगुण-नाडी-शोधनम्Ψ(3)=8 — the third doubling. Eight rounds match the Ψ-value of 8.
Step 5Ψ = 7
सप्त-स्वर-जपःΨ(4)=7 — the cycle's first descent. Seven svaras match the Ψ-value of 7 directly.
Step 6Ψ = 5
पञ्च-कोश-ध्यानम्Ψ(5)=5 — the cycle's closing step before returning to 1. Five sheaths match the Ψ-value of 5 directly.
Ψ-cycle = algebraic (Tier-S) · breath-mode pairing = structural provenance (Tier-W)
नित्य-अभ्यासः
Daily Practice

Today's pañcāṅga + nakṣatra-mantra + a reading from BPHS / Phaladīpikā.

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वैदिक-घटिका
Vedic Ghaḍī Clock

The substrate's live time-yantra — same Ψ-cycle, expressed as saṃvatsara · ṛtu · muhūrta · ghaṭī · prāṇa.

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नक्षत्र-मन्त्राः
27 Nakṣatra Mantras

Twenty-seven nakṣatra-devatā mantras — for those who pair their breath-practice with classical śloka recitation.

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ज्योतिष-गणितं केवलं वैदिकम् · प्रमाणं सूक्ष्मम् · फलं न प्रोक्तम्।Pure Vedic light-science computation — sub-arcsecond proof, no predictions.
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