{"id":20374,"date":"2026-09-24T12:18:01","date_gmt":"2026-09-24T10:18:01","guid":{"rendered":"https:\/\/www.lukaswojcik.com\/blog\/narzedzia\/reverb-clarity-calculator\/"},"modified":"2026-09-24T12:21:29","modified_gmt":"2026-09-24T10:21:29","slug":"reverb-clarity-calculator","status":"publish","type":"page","link":"https:\/\/www.lukaswojcik.com\/blog\/pl\/narzedzia\/reverb-clarity-calculator\/","title":{"rendered":"Kalkulator klarowno\u015bci pog\u0142osu: C50, C80 i g\u0142\u0119boko\u015b\u0107 modulacji z czasu pog\u0142osu, poziomu i pre-delay"},"content":{"rendered":"<div class=\"lw-hk\" id=\"hk-wurzel\" style=\"background: var(--bg-panel, #1e1e24); padding: 25px; border-radius: 8px; border: 1px solid var(--border, #2a2a35);\">\n<style>\n.lw-hk .hk-reihe { display: flex; flex-wrap: wrap; gap: 12px 18px; align-items: flex-end; }\n.lw-hk label.hk-feld { display: flex; flex-direction: column; gap: 6px; font-size: 0.84rem; color: var(--text-secondary, #a0a0b0); }\n.lw-hk input[type=number] { width: 130px; padding: 8px 10px; background: var(--bg-body, #14141a); border: 1px solid var(--border, #2a2a35); color: var(--text-primary, #e8e8ee); border-radius: 6px; font-size: 1rem; font-family: monospace; }\n.lw-hk .hk-tabelle { overflow-x: auto; margin-top: 10px; }\n.lw-hk table { border-collapse: collapse; width: 100%; font-size: 0.88rem; }\n.lw-hk th, .lw-hk td { text-align: right; padding: 6px 10px; border-bottom: 1px solid var(--border, #2a2a35); }\n.lw-hk th:first-child, .lw-hk td:first-child { text-align: left; }\n.lw-hk th { color: var(--text-primary, #e8e8ee); font-weight: 700; white-space: nowrap; }\n.lw-hk td { color: var(--text-primary, #e8e8ee); font-family: monospace; white-space: nowrap; }\n.lw-hk td.hk-name { font-family: inherit; color: var(--text-secondary, #a0a0b0); }\n.lw-hk td.hk-info { font-family: inherit; color: var(--text-secondary, #a0a0b0); white-space: normal; text-align: left; min-width: 220px; }\n.lw-hk .hk-h { font-weight: 700; color: var(--text-primary, #e8e8ee); font-size: 0.98rem; margin: 28px 0 8px; }\n.lw-hk .hk-klein { font-size: 0.84rem; color: var(--text-secondary, #a0a0b0); line-height: 1.55; }\n.lw-hk .hk-satz { font-size: 0.95rem; color: var(--text-primary, #e8e8ee); line-height: 1.55; margin: 8px 0; }\n.lw-hk .hk-fehler { color: var(--fail, #ff7b72); min-height: 1.2em; margin: 10px 0 0; font-size: 0.9rem; }\n@media (max-width: 480px) {\n    .lw-hk table { font-size: 0.8rem; }\n    .lw-hk th, .lw-hk td { padding: 6px 6px; }\n    .lw-hk input[type=number] { width: 110px; }\n}\n<\/style>\n<p style=\"color: var(--text-secondary, #a0a0b0); margin-bottom: 18px;\">Ile konturu pog\u0142os zostawia wokalowi lub groove\u2019owi, zale\u017cy g\u0142\u00f3wnie od trzech ustawie\u0144: czasu pog\u0142osu, poziomu pog\u0142osu wobec suchego sygna\u0142u i pre-delay. Kalkulator pokazuje dla nich wska\u017aniki klarowno\u015bci C50 i C80 z akustyki pomieszcze\u0144 oraz g\u0142\u0119boko\u015b\u0107 modulacji, czyli to, ile wahania sylab i nut pozostaje po pog\u0142osie.<\/p>\n<div class=\"hk-reihe\">\n        <label class=\"hk-feld\">Czas pog\u0142osu T (s) <input id=\"hk-t\" type=\"number\" min=\"0.1\" max=\"10\" step=\"0.1\" value=\"1.2\" inputmode=\"decimal\"><\/label><br \/>\n        <label class=\"hk-feld\">Poziom pog\u0142osu (dB) <input id=\"hk-anteil\" type=\"number\" min=\"-40\" max=\"10\" step=\"1\" value=\"-10\" inputmode=\"decimal\"><\/label><br \/>\n        <label class=\"hk-feld\">Pre-delay (ms) <input id=\"hk-pd\" type=\"number\" min=\"0\" max=\"300\" step=\"1\" value=\"20\" inputmode=\"decimal\"><\/label><br \/>\n        <label class=\"hk-feld\">Tempo (BPM) <input id=\"hk-bpm\" type=\"number\" min=\"20\" max=\"400\" step=\"0.1\" value=\"128\" inputmode=\"decimal\"><\/label>\n    <\/div>\n<p id=\"hk-fehler\" class=\"hk-fehler\" data-mp-mask aria-live=\"polite\">\n<div class=\"hk-h\">Klarowno\u015b\u0107<\/div>\n<div class=\"hk-tabelle\">\n<table>\n<thead>\n<tr>\n<th>Miara<\/th>\n<th>Warto\u015b\u0107<\/th>\n<th>Znaczenie<\/th>\n<\/tr>\n<\/thead>\n<tbody id=\"hk-klarheit\" data-mp-mask><\/tbody>\n<\/table><\/div>\n<div class=\"hk-h\">G\u0142\u0119boko\u015b\u0107 modulacji<\/div>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">1 oznacza, \u017ce wahanie poziomu zostaje w ca\u0142o\u015bci; 0 oznacza, \u017ce pog\u0142os je wyr\u00f3wnuje. \u0106wier\u0107nuty, \u00f3semki i szesnastki wynikaj\u0105 z tempa, sylaby le\u017c\u0105 przy oko\u0142o 4 Hz.<\/p>\n<div class=\"hk-tabelle\">\n<table>\n<thead>\n<tr>\n<th>Wahanie<\/th>\n<th>Cz\u0119stotliwo\u015b\u0107 (Hz)<\/th>\n<th>m<\/th>\n<th>zachowane<\/th>\n<\/tr>\n<\/thead>\n<tbody id=\"hk-mod\" data-mp-mask><\/tbody>\n<\/table><\/div>\n<div class=\"hk-h\">Czas<\/div>\n<p id=\"hk-zeit\" class=\"hk-satz\" data-mp-mask>\n<div class=\"hk-h\">Wzory<\/div>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">Model: d\u017awi\u0119k bezpo\u015bredni o energii 1 i ogon pog\u0142osu o energii g = 10^(poziom pog\u0142osu\/10), kt\u00f3ry od pre-delay zanika wyk\u0142adniczo i w czasie T spada o 60 dB.<\/p>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">C50 i C80: 10\u00b7log(energia wczesna \/ energia p\u00f3\u017ana) z granic\u0105 50 lub 80 ms po d\u017awi\u0119ku bezpo\u015brednim, wed\u0142ug ISO 3382-1.<\/p>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">G\u0142\u0119boko\u015b\u0107 modulacji: m(F) = |1 + g\u00b7e^(\u2212j2\u03c0F\u00b7pre-delay) \/ (1 + j2\u03c0F\u00b7T\/13,82)| \/ (1 + g).<\/p>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">Ograniczenia: model nie zna wczesnych odbi\u0107, t\u0142umienia g\u00f3ry ani szeroko\u015bci stereo. W pomiarze do artyku\u0142u o pog\u0142osie warto\u015bci obliczone r\u00f3\u017cni\u0142y si\u0119 od splotu w ffmpeg najwy\u017cej o 0,31 dB dla C50 i C80 oraz najwy\u017cej o 0,020 dla g\u0142\u0119boko\u015bci modulacji.<\/p>\n<div class=\"hk-h\">Artyku\u0142y na ten temat<\/div>\n<p class=\"hk-klein\" style=\"margin: 0 0 6px;\">Jak czas pog\u0142osu, pre-delay, poziom pog\u0142osu i filtr w wysy\u0142ce zmieniaj\u0105 klarowno\u015b\u0107, mierzy artyku\u0142 \u201e<span class=\"lw-artikel-geplant\">Pog\u0142os w pomiarach<\/span>\u201d.<\/p>\n<\/div>\n<p><script>\n(function () {\n    'use strict';<\/p>\n<p>    const T = {\"einleitung\":\"Ile konturu pog\u0142os zostawia wokalowi lub groove\u2019owi, zale\u017cy g\u0142\u00f3wnie od trzech ustawie\u0144: czasu pog\u0142osu, poziomu pog\u0142osu wobec suchego sygna\u0142u i pre-delay. Kalkulator pokazuje dla nich wska\u017aniki klarowno\u015bci C50 i C80 z akustyki pomieszcze\u0144 oraz g\u0142\u0119boko\u015b\u0107 modulacji, czyli to, ile wahania sylab i nut pozostaje po pog\u0142osie.\",\"f_t\":\"Czas pog\u0142osu T (s)\",\"f_anteil\":\"Poziom pog\u0142osu (dB)\",\"f_pd\":\"Pre-delay (ms)\",\"f_bpm\":\"Tempo (BPM)\",\"h_klarheit\":\"Klarowno\u015b\u0107\",\"sp_mass\":\"Miara\",\"sp_wert\":\"Warto\u015b\u0107\",\"sp_bedeutung\":\"Znaczenie\",\"name_c50\":\"C50\",\"name_c80\":\"C80\",\"name_d50\":\"D50\",\"name_untergrenze\":\"Dolna granica C50 i C80\",\"info_c50\":\"Energia pierwszych 50 ms wobec wszystkiego p\u00f3\u017aniej; miara dla mowy, wy\u017cej znaczy wyra\u017aniej.\",\"info_c80\":\"Energia pierwszych 80 ms wobec wszystkiego p\u00f3\u017aniej; miara dla muzyki.\",\"info_d50\":\"Udzia\u0142 energii pierwszych 50 ms w ca\u0142ej energii.\",\"info_untergrenze\":\"Poni\u017cej tej warto\u015bci C50 i C80 przy tym poziomie pog\u0142osu nie spadn\u0105, nawet przy dowolnie d\u0142ugim pog\u0142osie.\",\"h_mod\":\"G\u0142\u0119boko\u015b\u0107 modulacji\",\"mod_hinweis\":\"1 oznacza, \u017ce wahanie poziomu zostaje w ca\u0142o\u015bci; 0 oznacza, \u017ce pog\u0142os je wyr\u00f3wnuje. \u0106wier\u0107nuty, \u00f3semki i szesnastki wynikaj\u0105 z tempa, sylaby le\u017c\u0105 przy oko\u0142o 4 Hz.\",\"sp_rate\":\"Wahanie\",\"sp_hz\":\"Cz\u0119stotliwo\u015b\u0107 (Hz)\",\"sp_m\":\"m\",\"sp_rest\":\"zachowane\",\"rate_viertel\":\"\u0106wier\u0107nuty\",\"rate_achtel\":\"\u00d3semki\",\"rate_sechzehntel\":\"Szesnastki\",\"rate_silben\":\"Sylaby (4 Hz)\",\"rate_schnell\":\"Szybkie sylaby (8 Hz)\",\"h_zeit\":\"Czas\",\"zeit_satz\":\"Czas pog\u0142osu odpowiada {schlaege} uderzeniom przy {bpm} BPM; pre-delay {pd} ms to {anteil} % szesnastki.\",\"h_formeln\":\"Wzory\",\"formel_1\":\"Model: d\u017awi\u0119k bezpo\u015bredni o energii 1 i ogon pog\u0142osu o energii g = 10^(poziom pog\u0142osu\\\/10), kt\u00f3ry od pre-delay zanika wyk\u0142adniczo i w czasie T spada o 60 dB.\",\"formel_2\":\"C50 i C80: 10\u00b7log(energia wczesna \\\/ energia p\u00f3\u017ana) z granic\u0105 50 lub 80 ms po d\u017awi\u0119ku bezpo\u015brednim, wed\u0142ug ISO 3382-1.\",\"formel_3\":\"G\u0142\u0119boko\u015b\u0107 modulacji: m(F) = |1 + g\u00b7e^(\u2212j2\u03c0F\u00b7pre-delay) \\\/ (1 + j2\u03c0F\u00b7T\\\/13,82)| \\\/ (1 + g).\",\"grenze\":\"Ograniczenia: model nie zna wczesnych odbi\u0107, t\u0142umienia g\u00f3ry ani szeroko\u015bci stereo. W pomiarze do artyku\u0142u o pog\u0142osie warto\u015bci obliczone r\u00f3\u017cni\u0142y si\u0119 od splotu w ffmpeg najwy\u017cej o 0,31 dB dla C50 i C80 oraz najwy\u017cej o 0,020 dla g\u0142\u0119boko\u015bci modulacji.\",\"h_artikel\":\"Artyku\u0142y na ten temat\",\"art_hall_vor\":\"Jak czas pog\u0142osu, pre-delay, poziom pog\u0142osu i filtr w wysy\u0142ce zmieniaj\u0105 klarowno\u015b\u0107, mierzy artyku\u0142 \u201e\",\"art_hall_titel\":\"Pog\u0142os w pomiarach\",\"art_hall_nach\":\"\u201d.\",\"fehler_t\":\"Czas pog\u0142osu musi le\u017ce\u0107 mi\u0119dzy 0,1 a 10 s.\",\"fehler_anteil\":\"Poziom pog\u0142osu musi le\u017ce\u0107 mi\u0119dzy \u221240 a +10 dB.\",\"fehler_pd\":\"Pre-delay musi le\u017ce\u0107 mi\u0119dzy 0 a 300 ms.\",\"fehler_bpm\":\"Tempo musi le\u017ce\u0107 mi\u0119dzy 20 a 400 BPM.\",\"dezimal\":\",\"};<\/p>\n<p>    var K = Math.log(1e6);          \/\/ Energie faellt in T um 60 dB: e^(-K t \/ T)\n    var GRENZEN = { t: [0.1, 10], anteil: [-40, 10], pd: [0, 300], bpm: [20, 400] };<\/p>\n<p>    \/\/ --- Rechnen ------------------------------------------------------------\n    \/\/ Energie bis te (ms): Direktschall 1 plus Hallfahne g, die ab dem Pre-Delay mit e^(-K t \/ T) abklingt.\n    function klarheit(T, anteilDb, pdMs, teMs) {\n        var g = Math.pow(10, anteilDb \/ 10), a = K \/ T, t = (teMs - pdMs) \/ 1000;\n        var frueh = 1 + (t > 0 ? g * (1 - Math.exp(-a * t)) : 0);\n        var spaet = g * Math.exp(-a * Math.max(t, 0));\n        return { c: 10 * Math.log(frueh \/ spaet) \/ Math.LN10, d: frueh \/ (1 + g) };\n    }\n    \/\/ Modulationstiefe: |1 + g e^(-j 2 pi F pd) \/ (1 + j 2 pi F T \/ K)| \/ (1 + g)\n    function modtiefe(T, anteilDb, pdMs, F) {\n        var g = Math.pow(10, anteilDb \/ 10), w = 2 * Math.PI * F, b = w * T \/ K;\n        var hr = 1 \/ (1 + b * b), hi = -b \/ (1 + b * b);            \/\/ H = 1 \/ (1 + j b)\n        var cr = Math.cos(w * pdMs \/ 1000), ci = -Math.sin(w * pdMs \/ 1000);\n        var re = 1 + g * (hr * cr - hi * ci), im = g * (hr * ci + hi * cr);\n        return Math.sqrt(re * re + im * im) \/ (1 + g);\n    }\n    function rechne(T, anteilDb, pdMs, bpm) {\n        var c50 = klarheit(T, anteilDb, pdMs, 50), c80 = klarheit(T, anteilDb, pdMs, 80);\n        var raten = [\n            { name: 'rate_viertel', f: bpm \/ 60 }, { name: 'rate_achtel', f: bpm \/ 30 }, { name: 'rate_sechzehntel', f: bpm \/ 15 },\n            { name: 'rate_silben', f: 4 }, { name: 'rate_schnell', f: 8 }\n        ];\n        raten.forEach(function (r) { r.m = modtiefe(T, anteilDb, pdMs, r.f); });\n        return {\n            c50: c50.c, c80: c80.c, d50: c50.d, untergrenze: -anteilDb, raten: raten,\n            schlaege: T * bpm \/ 60, pd_sechzehntel: pdMs \/ (15000 \/ bpm)\n        };\n    }\n    function gueltig(wert, name) {\n        return typeof wert === 'number' && isFinite(wert) && wert >= GRENZEN[name][0] && wert <= GRENZEN[name][1];\n    }\n\n    \/\/ --- Darstellung --------------------------------------------------------\n    function zahl(x, stellen) {\n        if (typeof x !== 'number' || !isFinite(x)) { return '\u2013'; }\n        var s = x.toFixed(stellen);\n        if (s === '-' + (0).toFixed(stellen)) { s = (0).toFixed(stellen); }\n        s = s.replace('-', '\u2212');\n        return s.replace('.', T.dezimal);\n    }\n    function text(schluessel, werte) {\n        return String(T[schluessel]).replace(\/\\{(\\w+)\\}\/g, function (m, k) { return werte &#038;&#038; werte[k] !== undefined ? werte[k] : m; });\n    }\n    function el(id) { return document.getElementById(id); }\n    function zelle(tr, inhalt, klasse) {\n        var td = document.createElement('td');\n        td.textContent = inhalt;\n        if (klasse) { td.className = klasse; }\n        tr.appendChild(td);\n    }\n    function lesen(id) { var v = el(id).value; return v === '' ? NaN : parseFloat(String(v).replace(',', '.')); }\n\n    function aktualisieren() {\n        var eingabe = { t: lesen('hk-t'), anteil: lesen('hk-anteil'), pd: lesen('hk-pd'), bpm: lesen('hk-bpm') };\n        var falsch = ['t', 'anteil', 'pd', 'bpm'].filter(function (k) { return !gueltig(eingabe[k], k); });\n        var kl = el('hk-klarheit'), mo = el('hk-mod'), ze = el('hk-zeit'), fe = el('hk-fehler');\n        kl.textContent = ''; mo.textContent = ''; ze.textContent = '';\n        if (falsch.length) { fe.textContent = T['fehler_' + falsch[0]]; return null; }\n        fe.textContent = '';\n        var r = rechne(eingabe.t, eingabe.anteil, eingabe.pd, eingabe.bpm);\n        [['c50', zahl(r.c50, 2) + ' dB'], ['c80', zahl(r.c80, 2) + ' dB'], ['d50', zahl(r.d50 * 100, 1) + ' %'],\n         ['untergrenze', zahl(r.untergrenze, 1) + ' dB']].forEach(function (z) {\n            var tr = document.createElement('tr');\n            zelle(tr, T['name_' + z[0]], 'hk-name');\n            zelle(tr, z[1]);\n            zelle(tr, T['info_' + z[0]], 'hk-info');\n            kl.appendChild(tr);\n        });\n        r.raten.forEach(function (ra) {\n            var tr = document.createElement('tr');\n            zelle(tr, T[ra.name], 'hk-name');\n            zelle(tr, zahl(ra.f, 2));\n            zelle(tr, zahl(ra.m, 3));\n            zelle(tr, zahl(ra.m * 100, 1) + ' %');\n            mo.appendChild(tr);\n        });\n        ze.textContent = text('zeit_satz', { schlaege: zahl(r.schlaege, 1), bpm: zahl(eingabe.bpm, eingabe.bpm % 1 ? 1 : 0), pd: zahl(eingabe.pd, 0),\n            anteil: zahl(r.pd_sechzehntel * 100, 0) });\n        return r;\n    }\n\n    window.LW_TEST = window.LW_TEST || {};\n    window.LW_TEST.HALL = { T: T, klarheit: klarheit, modtiefe: modtiefe, rechne: rechne, gueltig: gueltig, zahl: zahl,\n        aktualisieren: aktualisieren };\n\n    if (!el('hk-wurzel') || !el('hk-klarheit')) { return; }\n    ['hk-t', 'hk-anteil', 'hk-pd', 'hk-bpm'].forEach(function (id) { el(id).addEventListener('input', aktualisieren); });\n    aktualisieren();\n})();\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oblicza z czasu pog\u0142osu, poziomu pog\u0142osu i pre-delay wska\u017aniki klarowno\u015bci C50 i C80, wyrazisto\u015b\u0107 D50 oraz to, ile wahania poziomu przy \u0107wier\u0107nutach, \u00f3semkach, szesnastkach i sylabach zostaje po pog\u0142osie.<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":9284,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-tool-base.php","meta":{"footnotes":""},"tags":[92906],"class_list":["post-20374","page","type-page","status-publish","hentry","tag-music-production-pl"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - 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