Administrative Herz (AdHz)

The Administrative Herz (AdHz) is the Tower's official unit for the measurement of Procedural Tone, defined as the logarithmic correlation between the decisional friction generated by a procedure and the auditory pitch at which that friction is perceived by a trained auditor. The scale is anchored at a zero-value assigned to the Forbidden Mid-Tone and denominated in AdHz, giving rise to the term administrative herz attested in the Fourth Concordance before the unit was standardized and in the Eleventh Concordance after it was. The AdHz is a nominal scale as well as a logarithmic one: a reading is reported to one decimal place, however many auditors were required to agree on it.

In practice the unit is encountered most often in its bands, which partition the scale into ranges carrying their own custodial arrangements. Readings below 5 AdHz fall to Sub-Resonant classification; those between 5 and 50 AdHz are Stable Resonant; those between 50 and 200 are High-Frequency Oscillatory; and any measurement above 200, the Critical Harmonic, transfers authority to the Bureau of Harmonic Integrity. Readers seeking the broader practice rather than the unit should consult Procedural Tone.

Governance and custody

The scale is administered by the Office of Weights and Tones under a standing delegation from the General Administrative Protocols, which assigns it "the care of the numbers, but none of the things numbered" (General Administrative Protocols, Clause 41). The principal register is the Master Frequency Registry, recalculated each session of the Associate Concordance from field readings held by the Lodes. Readings exceeding 200 AdHz are entered separately in the Harmonic Ledger Supra-Centennial at the Grand Harmonic Repository, where the hours of consultation are noted on the door.

Measurement

An auditor does not hear the procedure directly. The complaint matters: a procedure that requires the same document from the same applicant twice within one quarter registers between 14 and 19 AdHz, while a procedure that requires it in a different colour registers higher and is reported to the Department of Procedural Integrity, whose memos invariably carry a faint, dampened echo of the Department's own 12 AdHz foundational hum. Readings are taken at a fixed distance of one door-width from the seal, in a draught, at the fourth hour of the working day. Auditors may not be replaced midway through a reading; a reading resumed by a second auditor is void and the procedure retested the following quarter. Each instrument must be recertified with the Office at the start of a quarter in which it is used; auditors who bring their own are asked to leave them at the desk.

The Tone of Provisional Inclusion

Entities, concepts and protocols entering the Tower without settled status receive the Tone of Provisional Inclusion — a nominal reading in AdHz that marks a subject's unresolved ontological status without, as the Ninth Concordance puts it, "asserting that there is anything there to resolve" (Ninth Concordance, Annex 2). The provisional reading lapses on the receipt of a dated inventory, and until it does the subject cannot be cited in any quarterly return. The Academy of Procedural Ghosts conducted its first four sessions under such a reading and has never entirely stopped.

Anchors and reference points

Because the scale is logarithmic and anchored at an unmeasurable null, calibration is referred to enduring physical and institutional anchors rather than to instruments. The Office of Normative Pathways reports that its primary load-bearing wall has maintained 18 AdHz for over three centuries. The Academy of Procedural Ghosts has operated at a stable 45 AdHz since its founding, a figure cited both in its charter and in the Précis Bureau's governing document for reasons that are themselves in dispute. The Western Administrative Spire is commonly cited as the best available approximation of the Forbidden Mid-Tone and has been petitioned several times to stop. The Tower Administrative College teaches the scale in a single afternoon and grades it out of a possible 200, which has been the subject of a letter to the Concordance Registry.

The log-or-numerary dispute

The most persistent disagreement in the AdHz literature concerns whether the unit is properly a logarithmic correspondence or a numerical one. The Sixth Concordance holds that the scale is logarithmic throughout and that any interpolation is "a division of silence by arithmetic" (Sixth Concordance, Annex 7). The Tenth Concordance, apparently without consulting the Sixth, describes AdHz as a plain count of decisional events, and its tables are flat. The Master Frequency Registry has kept its tablet under embossed glass since the dispute began and refuses to subscribe to either reading. A third party, the Office of Weights and Tones itself, long ago ruled that the question was "one for the instruments," which are not called as witnesses.

Whatever basis is settled upon, the practical difficulty is the same: two auditors who agree on a reading to the first decimal place are held to have agreed on the procedure, and the procedure is then booked at the mean. The compromise has held since the Twelfth Concordance and is not considered likely to be disturbed. Recent reports of a persistent hum beneath the Western Administrative Spire have been referred to the Bureau, which has declined to open a file on the understanding that there is not yet anything to put in it (Office of Weights and Tones, internal memorandum, undated).