Synergy · room master · 11 checks · sibling

How room grades placement.

Room answers: does the geometry, modal physics, and bass capability of this space load the speakers the way they were designed for? Eleven checks across boundary interaction, modal density, listener-position geometry, and SPL / bass headroom. Speaker-tab only — Room is silent for headphones.

Room is a sibling, not the headline. Two systems can be Resonant on Signal while their Room readings sit a tier apart — the rubric renders both, never averages.

— room master · speakers

Eleven checks · geometry, modes, bass capability.

Width, length, and height tell us what bass your speakers can actually produce. Big rooms need more cone area to reach the same volume; small rooms boost the deepest bass even from small speakers. The floor, walls, and front-wall observables you set in the wizard tell us how reverberant the room is — they tune the placement-side checks (toe-in, listener-SBIR, triangle) so a hardwood-and-windows room scores differently from one with rugs and bookshelves. Midrange and treble are deliberately not scored against room volume — they depend on listening distance and surface absorption, which are room-side, not speaker-side, properties. The math for the two bass checks is in docs/methodology.md §11.

Sibling, not headline

Worked example · coherent tier

Spendor A2in4.0 × 5.5 m room

Listener at 2.8 m · equilateral 2.4 m triangle · 35 cm to rear wall · no sub

Symmetry, triangle, mode density and room volume all land clean. The 35 cm wall distance puts the speaker SBIR null around 240 Hz — audible but recoverable with stuffing or pull-out. Listener SBIR catches the seat sitting 1.4 m from the rear wall.

Speaker SBIR0.50
Listener SBIR0.50
Mode density1.00
Symmetry1.00
Triangle1.00
Toe-in0.85
Sub placement
Room volume1.00
SPL capability1.00

5 good · 1 note · 2 warn · 1 N/A·Avg 0.86·Scaled 86·Tier coherent

Speaker-boundary SBIR

when if layout known
What we measure

How close the speakers are to the nearest boundary, expressed as the first-null cancellation frequency from speaker-boundary interference (SBIR).

Why it matters

A driver close to a wall creates a comb-filter null at f = c / (4 · d) where d is the distance from the driver to the wall. If that null lands in the speaker’s bass range, you get a perceived hole in the bass that no DSP cure can fully fix — the path-length cancellation is geometric.

Outcomes
  • Good

    First-null frequency above 200 Hz

    Null sits above the bass band — no perceived bass hole

  • Note

    First-null 100 – 200 Hz

    Null edges into the upper-bass — minor scoop possible

  • Warn

    First-null 60 – 100 Hz

    Null lands in the kick-drum band — bass thins on transients

  • Fail

    First-null at or below 60 Hz

    Deep-bass null — geometric cancellation no DSP cure can fully fix

Listener SBIR

when if seat known
What we measure

Whether the listening seat is clear of a wall-reflection null in the low-mid range — the SBIR cancellation pattern shifts toward the listener as well as toward the speaker.

Why it matters

Same physics as speaker-side SBIR, but the reflective surface is the wall behind the listener. A listener pressed against the rear wall has a strong null near f = c / (4 · d_listener) that scoops the low-mids. Moving the seat 0.5 m can shift the null out of the critical band entirely.

Outcomes
  • Good

    First-null frequency above 200 Hz

    Seat clear of the cancellation — full low-mid energy at the listener

  • Note

    First-null 100 – 200 Hz

    Slight low-mid scoop — moving the seat 0.5 m may resolve it

  • Warn

    First-null 60 – 100 Hz

    Audible low-mid hole at the chair — reposition the seat off the wall

  • Fail

    First-null at or below 60 Hz

    Deep null at the seat — listener sits inside the cancellation

Mode density

when if dims known
What we measure

Whether the room’s modal distribution avoids stacked resonances — the Bonello criterion for "smooth modal density" in the low frequencies.

Why it matters

When two or more room modes pile up at the same frequency, you get a bass resonance peak that’s audible as boominess. Bonello’s 1981 JAES paper showed that "good-sounding" rooms have a monotonically rising mode count per 1/3-octave band below 200 Hz — the eye/ear test still holds.

Outcomes
  • Good

    Mode count rises monotonically across 1/3-octave bands below 200 Hz

    Smooth modal density — Bonello criterion satisfied

  • Note

    One band-to-band count violation

    Minor dip — barely audible as bass colouration

  • Warn

    Two or more band-to-band violations

    Stacked modes — audible boominess at the affected frequencies

Source
  • Bonello, JAES 1981 (modal-density monotonicity criterion)

L/R speaker symmetry

when if layout known
What we measure

How equal the distance from each speaker to its nearest sidewall is, as a coarse proxy for early-reflection symmetry at the listener.

Why it matters

Asymmetric early reflections pull the phantom centre toward the louder side. In a geometrically asymmetric room the listener can compensate via toe-in, surface treatment, or measured correction — but the geometry itself doesn’t predict the perceptual outcome. When the listener confirms imaging balance via pink-noise centre-image test, this check defers to that confirmation.

Outcomes
  • Good

    L/R sidewall residual < 25%

    Within reference convention — early reflections roughly symmetric

  • Note

    L/R sidewall residual 25 – 40%

    Minor L/R difference — usually inaudible after toe-in

  • Warn

    L/R sidewall residual 40 – 50%

    Imaging may pull toward the closer wall

  • Fail

    L/R sidewall residual ≥ 50%

    Severe asymmetry — geometric mitigation recommended

  • Note

    Imaging confirmed by listener (Toole pink-noise test) or REW-verified

    Downgrade — geometric asymmetry present but acoustically tuned

  • Note

    Surface profile is "dead" (heavy absorption)

    Downgrade — heavy absorption attenuates the early-reflection energy this check is looking for

Source
These threshold cut-points are our current engineering estimate — the underlying physics is cited above, but the specific numbers reflect a best-judgement reading that may be refined as our methodology develops. The listener-confirmed downgrade (via pink-noise centre-image test) and the surface-profile attenuation rule are anchored to the cited primary sources.
Illustrative scale
L/R asymmetry residual
025%40%50%100%

no user-value marker — the scale shows the metric, not your reading

Stereo triangle (angular subtense)

when if layout + seat
What we measure

Angle subtended by the two speakers at the listening position, in degrees. Reframed from the pre-revision equilateral-residual metric to angular subtense, which speaks directly to the perceptual outcome (image width and centre-image stability).

Why it matters

ITU-R BS.775-1 §3 specifies ±30° from listener axis (60° total subtense) as the reference layout for two-channel stereo. Below 30° the phantom centre collapses to mono; above 90° the listener is geometrically inside or behind the speakers (topology error). Listener confirmation can’t override this — the metric IS the perceptual outcome.

Outcomes
  • Good

    Subtense 50° – 70° at the listener

    Within the 60° reference window (ITU-R BS.775-1 §3)

  • Note

    Subtense 40 – 50° or 70 – 80°

    Slightly off the 60° reference — image width or centre stability mildly off

  • Warn

    Subtense 30 – 40° or 80 – 90°

    Listener too far back / speakers too wide

  • Fail

    Subtense below 30° or above 90°

    Phantom centre collapses (mono fusion) / listener inside or behind the speakers

Sources
The good/note window around the 60° reference is direct from BS.775-1 (1994; confirmed in BS.775-4, December 2022). The outer cut-points (30° / 90°) are our current engineering estimate for centre-image-stability tolerance and may be refined as our methodology develops.
Illustrative scale
Speaker subtense at listener (°)
306090120°

no user-value marker — the scale shows the metric, not your reading

Toe-in geometry

when if layout + seat
What we measure

Speaker rotation classification (straight / crossed-in-front / at-listener / crossed-behind / facing-away) plus L/R rotation asymmetry in degrees.

Why it matters

Multiple toe-in schools are defensible: Toole-school straight or behind-listener, Geddes-school crossed-in-front, Genelec-school crossed-at-listener, Linkwitz-school deliberate-asymmetric for asymmetric rooms. The engine doesn’t know speaker directivity — so when the listener confirms imaging balance, the asymmetry penalty suppresses entirely and only the school classification matters.

Outcomes
  • Fail

    Speakers face away from the listener (rotation > 90°)

    Topology error — drivers point away from the seat

  • Warn

    L/R asymmetry > 20°

    Unusual mismatch unless deliberate

  • Note

    L/R asymmetry 15 – 20°

    Within Linkwitz asymmetric-compensation range

  • Note

    Behind-listener school with asymmetry ≤ 15°

    Toole-school valid setup (less toe-in for wider stage)

  • Good

    Otherwise (symmetric or within tolerance)

    Geometry consistent with at least one of the defensible toe-in schools

  • Good

    Imaging confirmed by listener or REW-verified

    Asymmetry penalty suppressed — Linkwitz / Genelec / Cardas compensation acknowledged

Sources
The L/R asymmetry threshold cut-points (15° / 20°) are our current engineering estimate, informed by the cited sources and manufacturer placement guides (Genelec, Linkwitz, Cardas); they may be refined as our methodology develops. The school classification and the listener-confirmed suppression rule are anchored to the cited primary sources.

Sub placement

when if sub present + layout
What we measure

For 2.1 / 2.2 systems: whether the subwoofer is placed for even bass excitation across the listening area, per the Welti & Devantier multi-sub layout principles.

Why it matters

A single sub in a corner maximises efficiency but couples strongly to room modes — great for the corner, lumpy everywhere else. Welti & Devantier (Harman, JAES 2006) showed that mid-wall or asymmetric placements yield far smoother modal excitation across multiple seats. For a one-seat listener with a one-sub system, geometry matters more than the corner-loading shortcut.

Outcomes
  • Good

    Sub ≥ 0.8 m from any corner AND ≥ 0.5 m off the room midplane

    Asymmetric placement — smoother modal excitation across the room

  • Note

    Sub meets one of the two criteria but not both

    Better than corner-loading but not optimal

  • Warn

    Sub within 0.5 m of a corner

    Strong room-mode coupling — great efficiency, lumpy response

  • Warn

    Sub directly in a corner

    Maximum coupling — corner-loading shortcut; expect uneven seats

Source
  • Welti & Devantier, JAES 2006 (multi-sub layout principles)
Verdicts honour layout coverage; explicit verification of the heuristic against REW-imported measurements is pending. The principle (asymmetric > corner) is cited to verified-primary (Welti & Devantier, JAES 2006); the specific 0.8 m / 0.5 m thresholds are engineering-anchored.

Room volume

when if dims known
What we measure

Whether the room volume sits in a reasonable range for the speaker class — a sanity-check guardrail, not a precision metric.

Why it matters

A pair of full-range floor-standers in a 12 m³ closet over-pressurises the room and excites every mode; a pair of standmounts in a 90 m³ great hall can’t move enough air to fill it. The detailed cone-area vs volume math lives in bass-headroom-vs-volume; this check is the coarse class-vs-room flag.

Outcomes
  • Good

    Room volume inside the class-tolerated band

    Reasonable speaker-to-room sizing — no pressure-overload or under-fill

  • Note

    Room volume within 25% of the band edge

    Marginal — close call either way

  • Warn

    Room substantially undersized for the speaker class

    Over-pressurises the room and excites every mode

  • Warn

    Room substantially oversized for the speaker class

    Can’t move enough air to fill the space

Source
  • Engineering convention

SPL capability

when if layout + seat
What we measure

Whether the amp + speaker pair can hit reference SPL at the listener distance — same physics as the Signal-side SPL headroom check, but anchored to the geometric path rather than a default 3 m assumption.

Why it matters

The Signal SPL headroom check uses a fallback distance when the seat isn’t set. Here, with full layout, we use the exact Euclidean listener-to-speaker distance — which is typically larger than the perpendicular distance editors record — and re-score against Toole’s 95 dB (apartment) / 105 dB (reference) targets.

Outcomes
  • Good

    Peak SPL at the seat meets or exceeds the distance-scaled target

    Headroom for dynamic-range material at the actual listening position

  • Note

    0 – 3 dB below target

    Comfortable everyday level with limited reserve

  • Warn

    3 – 6 dB below target

    Headroom-limited — transients compress on dynamic content

  • Fail

    More than 6 dB below target

    Under-powered for the geometry — large peaks will clip

Bass extension vs room

when always
What we measure

Whether the speaker’s published low-edge frequency response reaches the room’s pressure-zone region, where the room reinforces bass for free.

Why it matters

Every rectangular room has a lowest standing-wave mode f_room = c / (2 · L_max). Below f_room the room transitions toward pressure-zone reinforcement (typically 6–12 dB/oct of free bass). A speaker that reaches into that band gets the room’s gift; one that rolls off above f_room sounds thin no matter the cabinet.

Outcomes
  • Good

    Speaker (or sub) reaches the room mode — gap ≤ 0 octaves

    Pressure-zone reinforcement engaged — free bass below f_room

  • Note

    Gap of 0 – ½ octave above f_room

    Just shy of the pressure-zone gift

  • Warn

    Gap of ½ – 1 octave

    Missing the room’s bottom-end reinforcement — sounds lean

  • Fail

    Gap greater than 1 octave

    Bottom octave entirely absent from the in-room response

Sources
Band edges (0 / 0.5 / 1.0 octave) are an engineering choice, not a peer-reviewed threshold. The physics behind the calculation (eigenfrequency formula, pressure-zone reinforcement) is cited to verified primary sources. Manufacturers publish frequency_response_hz at different reference levels (−3 dB common, −6 dB sometimes, in-room ±3 dB occasionally); we trust the published value as-is. The coarse octave bins absorb most of this convention noise — a typical −3 vs −6 dB difference shifts gap_oct by < 0.2.
Illustrative scale
gap_oct (positive = shortfall)
−10½11½ oct

no user-value marker — the scale shows the metric, not your reading

Bass headroom vs volume

when always
What we measure

Whether the speaker has enough cone area to move air proportional to the room’s volume. Big rooms need more cone area for the same bass SPL — straight conservation of acoustic energy.

Why it matters

Sound pressure from a piston radiator at low frequencies scales with displacement volume V_d = S_d · X_max. Below the lowest room mode, in-room SPL scales roughly with V_d / V_room. The engine carries S_d (driver area sum) but not X_max — the coarse bins absorb that limitation honestly.

Outcomes
  • Good

    Cone area ratio ≥ 10 cm²/m³

    Generous cone area for the volume — full dynamic headroom at low frequencies

  • Note

    Ratio 5 – 10 cm²/m³

    Adequate — bass scales to room without obvious strain

  • Warn

    Ratio 3 – 5 cm²/m³

    Marginal — low-bass peaks will audibly compress

  • Fail

    Ratio below 3 cm²/m³

    Cone area can’t move enough air for the volume

Sources
  • Beranek, Acoustics (1954) Ch. 4 (piston radiator equations)
  • Small, JAES 1972 (direct-radiator V_d derivation)
  • D'Appolito, Testing Loudspeakers (1998) Ch. 7 (cone-area rule of thumb)
Band edges (3 / 5 / 10 cm²/m³) are an engineering choice, not a peer-reviewed threshold. The check is cone-area-based, not displacement-volume-based — a 6.5″ driver with above-average excursion outscores a same-diameter low-excursion driver in reality, and we can’t distinguish them without X_max in the seed. Bands are coarse enough that this omission rarely changes a tier, but the limitation is documented honestly.
Illustrative scale
S_d / V_room (cm²/m³)
0351015

no user-value marker — the scale shows the metric, not your reading

HiFiSync — Synergy, grounded in physics.